Details

Time bar (total: 1.4min)

analyze800.0ms (1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
0%0%74.9%25.1%0%0%0%1
0%0%74.9%25.1%0%0%0%2
25%18.7%56.2%25.1%0%0%0%3
50%37.5%37.5%25.1%0%0%0%4
56.3%42.1%32.8%25.1%0%0%0%5
62.5%46.8%28.1%25.1%0%0%0%6
64.1%48%26.9%25.1%0%0%0%7
65.6%49.2%25.8%25.1%0%0%0%8
66%49.5%25.5%25.1%0%0%0%9
66.4%49.8%25.2%25.1%0%0%0%10
66.5%49.8%25.1%25.1%0%0%0%11
66.6%49.9%25.1%25.1%0%0%0%12
Compiler

Compiled 127 to 112 computations (11.8% saved)

sample1.1min (78.8%)

Results
59.7s3846×body8192exit
5.7s8159×body256valid
65.0ms93×body256unsamplable
49.0ms97×body256infinite
Bogosity

preprocess57.0ms (0.1%)

Algorithm
2×egg-herbie
Rules
982×associate-/r*
686×associate-/l*
648×associate-+r+
624×associate-+l+
548×associate-+r-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064311
1163293
2641237
34401229
011
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
Outputs
0
Call 2
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Compiler

Compiled 125 to 111 computations (11.2% saved)

simplify50.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
982×associate-/r*
686×associate-/l*
648×associate-+r+
624×associate-+l+
548×associate-+r-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064311
1163293
2641237
34401229
Stop Event
1×node limit
Counts
1 → 5
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))

eval7.0ms (0%)

Compiler

Compiled 470 to 383 computations (18.5% saved)

prune45.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New055
Fresh011
Picked000
Done000
Total066
Accurracy
98.1%
Counts
6 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
▶96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
▶97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 948 to 806 computations (15% saved)

localize413.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓97.6%
(*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
✓95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓90.9%
(+.f64 (-.f64 1 z) -1)
Compiler

Compiled 661 to 559 computations (15.4% saved)

series4.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
1.0ms
z
@inf
(*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
0.0ms
z
@-inf
(*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
0.0ms
z
@inf
(+.f64 (-.f64 1 z) -1)

rewrite68.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
792×add-sqr-sqrt
748×pow1
746×add-exp-log
746×*-un-lft-identity
744×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035132
1825130
Stop Event
1×node limit
Counts
4 → 80
Calls
Call 1
Inputs
(+.f64 (-.f64 1 z) -1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
(sqrt.f64 (*.f64 (PI.f64) 2))
Outputs
(-.f64 1 (-.f64 z -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) 1)
(*.f64 1 (+.f64 (-.f64 1 z) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 2) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 2)) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 (-.f64 1 z) 1))
(pow.f64 (+.f64 (-.f64 1 z) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) 2)
(log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 z) -1))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 z) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))) 1)
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 2)) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 1)
(pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 3)
(pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 2)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))
(cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 3))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(exp.f64 (*.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 1))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 2)
(log.f64 (pow.f64 (exp.f64 (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(exp.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (+.f64 (-.f64 1 z) 13/2)))))
(exp.f64 (*.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (+.f64 (-.f64 1 z) 13/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))

simplify101.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1844×fma-neg
964×unswap-sqr
922×associate-+l+
822×associate-+r+
620×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02893536
17323222
223713152
377993152
Stop Event
1×node limit
Counts
116 → 145
Calls
Call 1
Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(-.f64 1 (-.f64 z -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) 1)
(*.f64 1 (+.f64 (-.f64 1 z) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 2) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) (sqrt.f64 (+.f64 (-.f64 1 z) -1)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 2)) (cbrt.f64 (+.f64 (-.f64 1 z) -1)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 (-.f64 1 z) 1))
(pow.f64 (+.f64 (-.f64 1 z) -1) 1)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 1 z) -1)) 3)
(pow.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 1 z) -1)) 2)
(log.f64 (exp.f64 (+.f64 (-.f64 1 z) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 1 z) -1))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 1 z) -1) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (log.f64 (+.f64 (-.f64 1 z) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 1 z) -1)) 1))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 1 z) -1)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))) 1)
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 2)) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 1)
(pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 3)
(pow.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 2)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))
(cbrt.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) 3))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(exp.f64 (*.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 1))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 2)
(log.f64 (pow.f64 (exp.f64 (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(exp.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (+.f64 (-.f64 1 z) 13/2)))))
(exp.f64 (*.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (+.f64 (-.f64 1 z) 13/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 z (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(fma.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
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(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) (*.f64 (*.f64 z z) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))

localize239.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
✓98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 419 to 322 computations (23.2% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
1.0ms
z
@0
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
1.0ms
z
@-inf
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
0.0ms
z
@inf
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
0.0ms
z
@inf
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

rewrite85.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
794×add-sqr-sqrt
762×add-exp-log
762×add-log-exp
762×log1p-expm1-u
762×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031129
1780129
Stop Event
1×node limit
Counts
3 → 68
Calls
Call 1
Inputs
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1)
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 2) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 1)
(pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(log.f64 (*.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (exp.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(log.f64 (*.f64 (exp.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 1 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1)
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 6 z) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000)) (*.f64 (-.f64 5 z) (-.f64 6 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 3)) (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 1)
(pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(log.f64 (*.f64 (exp.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (exp.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (exp.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(pow.f64 (*.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1/3)
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(pow.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) -1)
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))

simplify372.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1858×fma-def
628×associate-+l+
622×associate-+r+
460×+-commutative
440×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02824742
17124670
221374648
374994648
Stop Event
1×node limit
Counts
104 → 150
Calls
Call 1
Inputs
-175036605963169168476917941/4200000000000000000000000
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 -7438431377385067353648047161/705600000000000000000000000 z)) 175036605963169168476917941/4200000000000000000000000)
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))) 175036605963169168476917941/4200000000000000000000000)
(/.f64 4106156171094664089637421/25000000000000000000000 z)
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(/.f64 4106156171094664089637421/25000000000000000000000 z)
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371756020978964147/150000000000000000
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(/.f64 -154609652292764811/12500000000000000 z)
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(/.f64 -154609652292764811/12500000000000000 z)
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7713234287776531/30000000000000
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(/.f64 -7713234287776531/10000000000000 z)
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(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
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(neg.f64 (+.f64 (*.f64 208257325769966337/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1)
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 2) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3)) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 1)
(pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(log.f64 (*.f64 (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (exp.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(log.f64 (*.f64 (exp.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 1 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1)
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 6 z) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000)) (*.f64 (-.f64 5 z) (-.f64 6 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 3)) (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 1)
(pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(log.f64 (*.f64 (exp.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (exp.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (exp.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(pow.f64 (*.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1/3)
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(pow.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) -1)
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
Outputs
-175036605963169168476917941/4200000000000000000000000
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)
(fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000)
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 -7438431377385067353648047161/705600000000000000000000000 z)) 175036605963169168476917941/4200000000000000000000000)
(+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z)) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))
(fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))
(fma.f64 -7438431377385067353648047161/705600000000000000000000000 z (fma.f64 z (*.f64 z -315341357520700009111955479981/118540800000000000000000000000) -175036605963169168476917941/4200000000000000000000000))
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))) 175036605963169168476917941/4200000000000000000000000)
(+.f64 (fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))) -175036605963169168476917941/4200000000000000000000000)
(fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (+.f64 (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000)))
(fma.f64 z (*.f64 z -315341357520700009111955479981/118540800000000000000000000000) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z (fma.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3) -175036605963169168476917941/4200000000000000000000000)))
(/.f64 4106156171094664089637421/25000000000000000000000 z)
(+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z))
(+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 (+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (/.f64 15738405907415525446283611/6250000000000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 4106156171094664089637421/25000000000000000000000 z) (/.f64 15738405907415525446283611/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 61061698821196059503512813/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))))
(+.f64 (/.f64 15738405907415525446283611/6250000000000000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (/.f64 61061698821196059503512813/6250000000000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (+.f64 (/.f64 15738405907415525446283611/6250000000000000000000 (pow.f64 z 3)) (/.f64 61061698821196059503512813/6250000000000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 4106156171094664089637421/25000000000000000000000 z) (+.f64 (/.f64 15738405907415525446283611/6250000000000000000000 (pow.f64 z 3)) (/.f64 61061698821196059503512813/6250000000000000000000 (pow.f64 z 4)))))
(/.f64 4106156171094664089637421/25000000000000000000000 z)
(+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z))
(+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 (+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (/.f64 15738405907415525446283611/6250000000000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 4106156171094664089637421/25000000000000000000000 z) (/.f64 15738405907415525446283611/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 61061698821196059503512813/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))))
(+.f64 (/.f64 15738405907415525446283611/6250000000000000000000 (pow.f64 z 3)) (+.f64 (+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (/.f64 61061698821196059503512813/6250000000000000000000 (pow.f64 z 4))))
(+.f64 (+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (+.f64 (/.f64 15738405907415525446283611/6250000000000000000000 (pow.f64 z 3)) (/.f64 61061698821196059503512813/6250000000000000000000 (pow.f64 z 4))))
(+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 4106156171094664089637421/25000000000000000000000 z) (+.f64 (/.f64 15738405907415525446283611/6250000000000000000000 (pow.f64 z 3)) (/.f64 61061698821196059503512813/6250000000000000000000 (pow.f64 z 4)))))
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))
(fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000)))
(+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000))
(fma.f64 z 446800080651085577/900000000000000000 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) 371756020978964147/150000000000000000))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 446800080651085577/900000000000000000 z) (*.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3)))))
(+.f64 371756020978964147/150000000000000000 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (fma.f64 446800080651085577/900000000000000000 z (*.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000))))
(+.f64 371756020978964147/150000000000000000 (fma.f64 (*.f64 z z) 536852952257631293/5400000000000000000 (fma.f64 (pow.f64 z 3) 3224581990927430761/162000000000000000000 (*.f64 z 446800080651085577/900000000000000000))))
(+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) (+.f64 536852952257631293/5400000000000000000 (*.f64 z 3224581990927430761/162000000000000000000))))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 1542632245546005107/25000000000000000 (*.f64 z z)) (/.f64 154609652292764811/12500000000000000 z)))
(-.f64 (/.f64 -1542632245546005107/25000000000000000 (*.f64 z z)) (/.f64 154609652292764811/12500000000000000 z))
(+.f64 (/.f64 -1542632245546005107/25000000000000000 (*.f64 z z)) (/.f64 -154609652292764811/12500000000000000 z))
(neg.f64 (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
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(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(fma.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1)
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 6 z) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000)) (*.f64 (-.f64 5 z) (-.f64 6 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 3)) (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 6 z) 3))) (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 6 z) 3))) (-.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2)) (/.f64 (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (-.f64 5 z)) (-.f64 6 z))))
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 5 z) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 6 z) 3))) (fma.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -2501468655737381/200000000000000 (-.f64 5 z))) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2)))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (-.f64 6 z))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 1)
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1/3)
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2)
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(log.f64 (*.f64 (exp.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (exp.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(log.f64 (*.f64 (exp.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (exp.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(pow.f64 (*.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1/3)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(pow.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) -1)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

localize206.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
✓98.5%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓97.6%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 524 to 399 computations (23.9% saved)

series6.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
1.0ms
z
@-inf
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
1.0ms
z
@inf
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
0.0ms
z
@0
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))

rewrite75.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1352×add-exp-log
1352×add-log-exp
1350×log1p-expm1-u
1350×add-cube-cbrt
1350×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056327
11394327
Stop Event
1×node limit
Counts
3 → 23
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
Outputs
(pow.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))

simplify106.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
750×associate-*r/
684×times-frac
672×associate-*l/
504×fma-def
380×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02705677
18125503
236175013
Stop Event
1×node limit
Counts
59 → 111
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
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(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (-.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z))
(*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (*.f64 z (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))))
(+.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z z)))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (*.f64 z z) (*.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))))) (pow.f64 z 3)))))
(+.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)) 1/6))) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))) 1/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
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(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))

localize387.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
✓97.6%
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
Compiler

Compiled 664 to 557 computations (16.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
0.0ms
z
@-inf
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
0.0ms
z
@inf
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
0.0ms
z
@0
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
0.0ms
z
@inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))

rewrite129.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
1340×add-exp-log
1340×add-log-exp
1338×log1p-expm1-u
1338×expm1-log1p-u
1336×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053343
11362343
Stop Event
1×node limit
Counts
3 → 26
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
(*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
Outputs
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z))) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z))))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))

simplify133.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
976×+-commutative
672×times-frac
570×fma-def
484×fma-neg
482×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02885716
18855172
235804714
377354714
Stop Event
1×node limit
Counts
62 → 111
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3)))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))) (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2)))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 3))) (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 3))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z))) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z))))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(+.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
(+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(pow.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z))
(*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (*.f64 z (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30)))))))
(+.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z z)))
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(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (*.f64 (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 1 (-.f64 z 2))) (/.f64 -883075145810703/5000000000000 (-.f64 1 (-.f64 z 3))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7)))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))

localize320.0ms (0.4%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓97.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
✓95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
✓90.9%
(-.f64 (-.f64 1 z) 1)
Compiler

Compiled 894 to 784 computations (12.3% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
1.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
1.0ms
z
@-inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
0.0ms
z
@0
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))

rewrite69.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
752×add-sqr-sqrt
714×pow1
712×*-un-lft-identity
708×add-exp-log
708×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031149
1743111
Stop Event
1×node limit
Counts
3 → 75
Calls
Call 1
Inputs
(-.f64 (-.f64 1 z) 1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
Outputs
(+.f64 (-.f64 1 z) -1)
(*.f64 1 (neg.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (*.f64 (-.f64 1 z) 1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 (neg.f64 z) 2))
(pow.f64 (neg.f64 z) 1)
(pow.f64 (cbrt.f64 (neg.f64 z)) 3)
(pow.f64 (sqrt.f64 (neg.f64 z)) 2)
(pow.f64 (pow.f64 (neg.f64 z) 3) 1/3)
(neg.f64 z)
(sqrt.f64 (pow.f64 (neg.f64 z) 2))
(log.f64 (exp.f64 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))
(log.f64 (/.f64 1 (exp.f64 z)))
(cbrt.f64 (pow.f64 (neg.f64 z) 3))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000)))
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (+.f64 (neg.f64 z) 2)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (neg.f64 z) 2)))
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (neg.f64 (+.f64 (neg.f64 z) 2))) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (neg.f64 (+.f64 (neg.f64 z) 2))))
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)) (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000)))
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)) (+.f64 (neg.f64 z) 2)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 2)))
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)) (neg.f64 (+.f64 (neg.f64 z) 2))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (neg.f64 (+.f64 (neg.f64 z) 2))))
(/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (*.f64 (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)))) (*.f64 (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (*.f64 (+.f64 (neg.f64 z) 2) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (+.f64 (neg.f64 z) 2) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (neg.f64 z) 2) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)))) (*.f64 (+.f64 (neg.f64 z) 2) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3) (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))
(exp.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))))
(exp.f64 (*.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))

simplify104.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
998×unswap-sqr
994×associate-+r+
464×fma-def
426×associate-*l*
422×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03365403
19705009
236384899
Stop Event
1×node limit
Counts
111 → 149
Calls
Call 1
Inputs
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
(*.f64 -1 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))) (pow.f64 z 3))) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sqrt.f64 (PI.f64)))
(+.f64 (-.f64 1 z) -1)
(*.f64 1 (neg.f64 z))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (+.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 1 (*.f64 (-.f64 1 z) 1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1) (+.f64 (neg.f64 z) 2))
(pow.f64 (neg.f64 z) 1)
(pow.f64 (cbrt.f64 (neg.f64 z)) 3)
(pow.f64 (sqrt.f64 (neg.f64 z)) 2)
(pow.f64 (pow.f64 (neg.f64 z) 3) 1/3)
(neg.f64 z)
(sqrt.f64 (pow.f64 (neg.f64 z) 2))
(log.f64 (exp.f64 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))
(log.f64 (/.f64 1 (exp.f64 z)))
(cbrt.f64 (pow.f64 (neg.f64 z) 3))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 (neg.f64 z) 2) 3))) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000)))
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (+.f64 (neg.f64 z) 2)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (neg.f64 z) 2)))
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (neg.f64 (+.f64 (neg.f64 z) 2))) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (neg.f64 (+.f64 (neg.f64 z) 2))))
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)) (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000)))
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)) (+.f64 (neg.f64 z) 2)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (neg.f64 z) 2)))
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)) (neg.f64 (+.f64 (neg.f64 z) 2))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (neg.f64 (+.f64 (neg.f64 z) 2))))
(/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (*.f64 (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)))) (*.f64 (/.f64 (+.f64 (neg.f64 z) 2) -3147848041806007/2500000000000) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (*.f64 (+.f64 (neg.f64 z) 2) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (+.f64 (neg.f64 z) 2) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (+.f64 (neg.f64 z) 2) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)))) (*.f64 (+.f64 (neg.f64 z) 2) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 2)))) (*.f64 (neg.f64 (+.f64 (neg.f64 z) 2)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3) (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))
(exp.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))))
(exp.f64 (*.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) 9999999999998099/10000000000000000)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) 9999999999998099/10000000000000000)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 9999999999998099/10000000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (neg.f64 z) 2)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 2 (neg.f64 z)))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 3)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3) 1/3)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))) 2)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 2))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2)))) 3))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3) (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (neg.f64 z) 15/2)) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))) 3)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(exp.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(exp.f64 (*.f64 (+.f64 (+.f64 (neg.f64 z) 15/2) (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2))))) 1))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (+.f64 (neg.f64 z) 1/2)) (exp.f64 (+.f64 (neg.f64 z) 15/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z))))
(*.f64 (exp.f64 (-.f64 15/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))

eval2.6s (3.1%)

Compiler

Compiled 114268 to 93723 computations (18% saved)

prune405.0ms (0.5%)

Pruning

48 alts after pruning (47 fresh and 1 done)

PrunedKeptTotal
New1027471074
Fresh000
Picked101
Done314
Total1031481079
Accurracy
98.4%
Counts
1079 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.4%
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z)))) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z)))) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
94.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))))))) (*.f64 (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125))) 1/6)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2)) (-.f64 -1/15 (log.f64 15/2)))) (*.f64 (pow.f64 z 3) (sqrt.f64 2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
94.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (*.f64 z (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
94.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30)))))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2)))))) (fma.f64 (*.f64 z z) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/4200000000000000000000000) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225)) (*.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000)))) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))))))
95.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (pow.f64 z 3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
95.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
95.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))) 1/2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 1/6 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)))))))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z))) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
94.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
94.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
94.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
13.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
2.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.2%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
2.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶96.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 z -15/2))))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.2%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.3%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (fma.f64 z (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)) (*.f64 (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000))) (fma.f64 (*.f64 z z) (fma.f64 (-.f64 -1/15 (log.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225))) (*.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000)))) (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶2.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
2.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) (pow.f64 z 3)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (*.f64 z z) (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z (+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (+.f64 (fma.f64 (-.f64 -1/15 (log.f64 15/2)) 29/225 (fma.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3) 86/10125)) 1/6))) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))) 1/2))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶95.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 8451 to 7265 computations (14% saved)

localize191.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓98.5%
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 579 to 465 computations (19.7% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
0.0ms
z
@-inf
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
0.0ms
z
@0
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
0.0ms
z
@0
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
0.0ms
z
@inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))

rewrite115.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
902×expm1-udef
520×add-sqr-sqrt
496×add-exp-log
496×add-cbrt-cube
496×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02162
151262
2740062
Stop Event
1×node limit
Counts
2 → 116
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (/.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z))))
(*.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (/.f64 1 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 2 z)))))))
(*.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (/.f64 1 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 1 (/.f64 (*.f64 (-.f64 1 z) (-.f64 2 z)) (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))))
(/.f64 1 (/.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 2 z))))) (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))
(/.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 2 z))))))
(/.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (+.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 2 z))))))
(/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) (-.f64 1 z)) (*.f64 (-.f64 1 z) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)))
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (neg.f64 (-.f64 2 z))) (*.f64 (-.f64 1 z) 3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (neg.f64 (-.f64 2 z))))
(/.f64 (+.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) 1)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)))
(/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))
(/.f64 (+.f64 (neg.f64 (-.f64 2 z)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) 3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (neg.f64 (-.f64 2 z))))
(/.f64 (+.f64 (*.f64 -6765203681218851/10000000000000 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)) (*.f64 (neg.f64 (-.f64 1 z)) 1)) (*.f64 (neg.f64 (-.f64 1 z)) (*.f64 (-.f64 2 z) -2500000000000/3147848041806007)))
(/.f64 (+.f64 (*.f64 -6765203681218851/10000000000000 (-.f64 2 z)) (*.f64 (neg.f64 (-.f64 1 z)) -3147848041806007/2500000000000)) (*.f64 (neg.f64 (-.f64 1 z)) (-.f64 2 z)))
(/.f64 (+.f64 (*.f64 -6765203681218851/10000000000000 (neg.f64 (-.f64 2 z))) (*.f64 (neg.f64 (-.f64 1 z)) 3147848041806007/2500000000000)) (*.f64 (neg.f64 (-.f64 1 z)) (neg.f64 (-.f64 2 z))))
(/.f64 (+.f64 (-.f64 1 z) (*.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) 6765203681218851/10000000000000)) (*.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) (-.f64 1 z)))
(/.f64 (+.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (*.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) 1)) (*.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 z)) (*.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) -6765203681218851/10000000000000)) (*.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) (neg.f64 (-.f64 1 z))))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))) (-.f64 2 z)) (*.f64 (-.f64 2 z) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (neg.f64 (-.f64 1 z))) (*.f64 (-.f64 2 z) -6765203681218851/10000000000000)) (*.f64 (-.f64 2 z) (neg.f64 (-.f64 1 z))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (neg.f64 (-.f64 2 z)) 6765203681218851/10000000000000)) (*.f64 (neg.f64 (-.f64 2 z)) (-.f64 1 z)))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))) (*.f64 (neg.f64 (-.f64 2 z)) 1)) (*.f64 (neg.f64 (-.f64 2 z)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (neg.f64 (-.f64 1 z))) (*.f64 (neg.f64 (-.f64 2 z)) -6765203681218851/10000000000000)) (*.f64 (neg.f64 (-.f64 2 z)) (neg.f64 (-.f64 1 z))))
(/.f64 (neg.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000))) (neg.f64 (*.f64 (-.f64 1 z) (-.f64 2 z))))
(/.f64 (neg.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)))) (neg.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 2 z)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)))) (neg.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(/.f64 (/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (-.f64 1 z)) (-.f64 2 z))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (cbrt.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (cbrt.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) 1)
(-.f64 (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2)) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
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(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2))
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(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
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(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (cbrt.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
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(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

simplify112.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1468×fma-def
988×times-frac
772×div-sub
624×unswap-sqr
520×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04547340
111417012
235527004
Stop Event
1×node limit
Counts
140 → 199
Calls
Call 1
Inputs
469507597606837/10000000000000
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(/.f64 5826188486005177/10000000000000 z)
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12777243138120953/60000000000000
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(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (neg.f64 (-.f64 4 z))) (*.f64 (neg.f64 (-.f64 3 z)) 883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 3 z)) (neg.f64 (-.f64 4 z))))
(/.f64 (+.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) 1)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(/.f64 (+.f64 (-.f64 3 z) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) 7713234287776531/10000000000000)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (-.f64 3 z)))
(/.f64 (+.f64 (neg.f64 (-.f64 3 z)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) -7713234287776531/10000000000000)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (neg.f64 (-.f64 3 z))))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (-.f64 4 z)) (*.f64 (-.f64 4 z) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (neg.f64 (-.f64 3 z))) (*.f64 (-.f64 4 z) -7713234287776531/10000000000000)) (*.f64 (-.f64 4 z) (neg.f64 (-.f64 3 z))))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (*.f64 (neg.f64 (-.f64 4 z)) 1)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (-.f64 3 z)) (*.f64 (neg.f64 (-.f64 4 z)) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 3 z)))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (neg.f64 (-.f64 3 z))) (*.f64 (neg.f64 (-.f64 4 z)) -7713234287776531/10000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (neg.f64 (-.f64 3 z))))
(/.f64 (neg.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000))) (neg.f64 (*.f64 (-.f64 3 z) (-.f64 4 z))))
(/.f64 (neg.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)))) (neg.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))) (neg.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(/.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (-.f64 3 z)) (-.f64 4 z))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (cbrt.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (cbrt.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(fma.f64 z (*.f64 z 2076511864126339/4000000000000) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
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(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(/.f64 5826188486005177/10000000000000 z)
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(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 z 53758197989915921/720000000000000)))
(+.f64 12777243138120953/60000000000000 (fma.f64 z 53758197989915921/720000000000000 (*.f64 z (*.f64 z 222980468271960011/8640000000000000))))
(fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000))
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(+.f64 12777243138120953/60000000000000 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 z 53758197989915921/720000000000000))))
(+.f64 12777243138120953/60000000000000 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 z 53758197989915921/720000000000000 (*.f64 z (*.f64 z 222980468271960011/8640000000000000)))))
(fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
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(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))
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(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))
(+.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)))
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(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 3)
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(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3)
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(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2)
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(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2))
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(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
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(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
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(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
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localize33.0ms (0%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.2%
(*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
✓98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓98.4%
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)
Compiler

Compiled 76 to 50 computations (34.2% saved)

series3.0ms (0%)

Counts
3 → 12
Calls

3 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
1.0ms
z
@inf
(*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
1.0ms
z
@-inf
(*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))

rewrite84.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1686×log-prod
634×pow-exp
600×expm1-udef
594×log1p-udef
492×log-pow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01783
134583
2409783
Stop Event
1×node limit
Counts
3 → 74
Calls
Call 1
Inputs
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
Outputs
(+.f64 0 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1)
(pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 1)
(pow.f64 (*.f64 (exp.f64 -5/2) (cbrt.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3) 1/3)
(pow.f64 (*.f64 (exp.f64 -15/4) (sqrt.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 2)
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15))))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(exp.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 1) 1))
(exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1/3))
(exp.f64 (*.f64 (+.f64 -15/4 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(+.f64 0 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1)
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)
(pow.f64 (*.f64 (exp.f64 -5/2) (cbrt.f64 (sqrt.f64 15/2))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3) 1/3)
(pow.f64 (*.f64 (exp.f64 -15/4) (pow.f64 15/2 1/4)) 2)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3))
(cbrt.f64 (*.f64 (exp.f64 -45/2) (*.f64 15/2 (sqrt.f64 15/2))))
(cbrt.f64 (*.f64 (*.f64 15/2 (sqrt.f64 15/2)) (exp.f64 -45/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))
(exp.f64 (*.f64 (fma.f64 1/2 (log.f64 15/2) -15/2) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 15/2) -15/2) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3))
(exp.f64 (*.f64 (+.f64 (*.f64 1/4 (log.f64 15/2)) -15/4) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(+.f64 0 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))) 1)
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64)))))
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (neg.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64)))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64))) 1) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64)))) -1)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))
(exp.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) 2))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))

simplify70.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1442×fma-def
1074×distribute-lft-in
1028×distribute-rgt-in
778×associate-*r/
710×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02653594
16663486
224193202
Stop Event
1×node limit
Counts
86 → 117
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))))))))
(+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))))))) (*.f64 1/720 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))))))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))) (sin.f64 (*.f64 z (PI.f64)))))
(+.f64 0 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1)
(pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 1)
(pow.f64 (*.f64 (exp.f64 -5/2) (cbrt.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3) 1/3)
(pow.f64 (*.f64 (exp.f64 -15/4) (sqrt.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 2)
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15))))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(exp.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 1) 1))
(exp.f64 (*.f64 (+.f64 -5/2 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1/3))
(exp.f64 (*.f64 (+.f64 -15/4 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(+.f64 0 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))) 1)
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)
(pow.f64 (*.f64 (exp.f64 -5/2) (cbrt.f64 (sqrt.f64 15/2))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3) 1/3)
(pow.f64 (*.f64 (exp.f64 -15/4) (pow.f64 15/2 1/4)) 2)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3))
(cbrt.f64 (*.f64 (exp.f64 -45/2) (*.f64 15/2 (sqrt.f64 15/2))))
(cbrt.f64 (*.f64 (*.f64 15/2 (sqrt.f64 15/2)) (exp.f64 -45/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))
(exp.f64 (*.f64 (fma.f64 1/2 (log.f64 15/2) -15/2) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 15/2) -15/2) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3))
(exp.f64 (*.f64 (+.f64 (*.f64 1/4 (log.f64 15/2)) -15/4) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(+.f64 0 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))) 1)
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64)))))
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (neg.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64)))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64))) 1) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000) (PI.f64)))) -1)
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (exp.f64 -15)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))
(exp.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) 2))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))) 1106209385320415913103082059/25200000000000000000000000)))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000)))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))) (fma.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2)))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))) -7/360)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (fma.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2)))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)) -7/360))))))
(fma.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/25200000000000000000000000) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 3)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2)))))
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(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) 3))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 -45/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) 3)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) 3) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 -45/2) (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) 3)) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))
(exp.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) 1))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))
(exp.f64 (*.f64 (*.f64 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))) 1) 1))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) 3))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))
(exp.f64 (*.f64 (*.f64 3 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) 1/3))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 -15/2 (log.f64 (*.f64 (sqrt.f64 15/2) (/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))))))) 2))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (exp.f64 -15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))

localize119.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.4%
(*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
✓99.3%
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.6%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 337 to 228 computations (32.3% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
1.0ms
z
@inf
(*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
1.0ms
z
@-inf
(*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
0.0ms
z
@0
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z))
0.0ms
z
@inf
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z))

rewrite70.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
960×add-sqr-sqrt
914×add-exp-log
912×add-log-exp
912×log1p-expm1-u
912×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038164
1936164
Stop Event
1×node limit
Counts
2 → 19
Calls
Call 1
Inputs
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z))
(*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
Outputs
(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (neg.f64 (/.f64 4919378858736341/200000000000000 z)))
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) 3) (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z)))) (+.f64 (*.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 4919378858736341/200000000000000 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)))))
(/.f64 (-.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z)))) (*.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) 1)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))))
(pow.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))

simplify70.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1624×associate-+l+
1226×times-frac
648×associate-/r*
642×associate-*r/
632×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02123411
16573317
226833077
Stop Event
1×node limit
Counts
43 → 73
Calls
Call 1
Inputs
(/.f64 6868447169803563/40000000000000 (pow.f64 z 2))
(-.f64 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2)))
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(+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))
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(*.f64 1 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))))
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(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) 3) (pow.f64 (/.f64 4919378858736341/200000000000000 z) 3)) (+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z)))) (+.f64 (*.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 4919378858736341/200000000000000 z)) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)))))
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(cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z)))))
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(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
Outputs
(/.f64 6868447169803563/40000000000000 (pow.f64 z 2))
(/.f64 6868447169803563/40000000000000 (*.f64 z z))
(/.f64 (/.f64 6868447169803563/40000000000000 z) z)
(-.f64 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z))
(+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z)))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z)))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 -4919378858736341/200000000000000 z))
(-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 6868447169803563/40000000000000 (/.f64 1 (pow.f64 z 2)))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z)))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z)))
9999999999998099/10000000000000000
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z)))
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(fma.f64 6868447169803563/40000000000000 (*.f64 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (fma.f64 6868447169803563/40000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (/.f64 (sqrt.f64 15/2) z)) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (exp.f64 -15/2) 14711428495140737/100000000000000))))
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localize147.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(+.f64 (+.f64 (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
✓98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 408 to 297 computations (27.2% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
0.0ms
z
@-inf
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
0.0ms
z
@inf
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
0.0ms
z
@0
(+.f64 (+.f64 (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
0.0ms
z
@inf
(+.f64 (+.f64 (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))

rewrite102.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
636×add-sqr-sqrt
608×add-exp-log
608×add-log-exp
608×log1p-expm1-u
608×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026144
1626136
Stop Event
1×node limit
Counts
2 → 99
Calls
Call 1
Inputs
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (+.f64 (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1)
(-.f64 (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (/.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 2) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(*.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3)) (/.f64 1 (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (-.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
(*.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2)) (/.f64 1 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (-.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2))))
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3)) (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (-.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(/.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (+.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 2) (-.f64 (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2)) (*.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (*.f64 (-.f64 4 z) (+.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 3) (/.f64 15551846857655318226905091849579726496037009957/15625000000000000000000000000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 3))))) (*.f64 (-.f64 4 z) (+.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 2) (-.f64 (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2)) (*.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (*.f64 (-.f64 4 z) (-.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 2) (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2))))) (*.f64 (-.f64 4 z) (-.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 2) (-.f64 (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2)) (*.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (+.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 3) (/.f64 15551846857655318226905091849579726496037009957/15625000000000000000000000000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 3))))) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (+.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 2) (-.f64 (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2)) (*.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) 2) (cbrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
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(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) (sqrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (sqrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))

simplify186.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1030×times-frac
840×unswap-sqr
798×cancel-sign-sub-inv
714×fma-neg
442×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039915527
1112915219
2422315219
Stop Event
1×node limit
Counts
123 → 189
Calls
Call 1
Inputs
-175036605963169168476917941/4200000000000000000000000
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)
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10409174657078461523082059/4200000000000000000000000
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(/.f64 (-.f64 (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2)) (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 2)) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(exp.f64 (log.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(fma.f64 2496092394504893/250000000000000000000 (/.f64 1 (-.f64 7 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 1 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 1 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(fma.f64 1 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) 2) (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) 2) (cbrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2) (cbrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(fma.f64 (sqrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (sqrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) (sqrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (sqrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
Outputs
-175036605963169168476917941/4200000000000000000000000
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)
(fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000)
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 -7438431377385067353648047161/705600000000000000000000000 z)) 175036605963169168476917941/4200000000000000000000000)
(+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z)) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))
(fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))
(-.f64 (+.f64 (*.f64 -169621072975882826958062084321/245862400000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 -7438431377385067353648047161/705600000000000000000000000 z))) 175036605963169168476917941/4200000000000000000000000)
(+.f64 (fma.f64 -169621072975882826958062084321/245862400000000000000000000000 (pow.f64 z 3) (fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (*.f64 -7438431377385067353648047161/705600000000000000000000000 z))) -175036605963169168476917941/4200000000000000000000000)
(fma.f64 -169621072975882826958062084321/245862400000000000000000000000 (pow.f64 z 3) (fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000)))
(*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2))
(*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)
(*.f64 z (*.f64 z 536852952257631293/5400000000000000000))
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(fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000))
(fma.f64 z 446800080651085577/900000000000000000 (*.f64 z (*.f64 z 536852952257631293/5400000000000000000)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000)) 371756020978964147/150000000000000000)
(fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))
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(+.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 4415375475680193711637421/25000000000000000000000 z)) (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000)))
(+.f64 (/.f64 4415375475680193711637421/25000000000000000000000 z) (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)))
(*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2))
(*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)
(*.f64 z (*.f64 z 536852952257631293/5400000000000000000))
(+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))
(fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000))
(fma.f64 z 446800080651085577/900000000000000000 (*.f64 z (*.f64 z 536852952257631293/5400000000000000000)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000)) 371756020978964147/150000000000000000)
(fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 4415375475680193711637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))))
(+.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 4415375475680193711637421/25000000000000000000000 z)) (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000)))
(+.f64 (/.f64 4415375475680193711637421/25000000000000000000000 z) (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)))
10409174657078461523082059/4200000000000000000000000
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)
(fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000)
(fma.f64 z 350291408665333106351952839/705600000000000000000000000 10409174657078461523082059/4200000000000000000000000)
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000) (*.f64 (*.f64 z z) 11784999493416810208044520019/118540800000000000000000000000))
(fma.f64 z 350291408665333106351952839/705600000000000000000000000 (fma.f64 (*.f64 z z) 11784999493416810208044520019/118540800000000000000000000000 10409174657078461523082059/4200000000000000000000000))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 10409174657078461523082059/4200000000000000000000000 (+.f64 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 1031437005281937915679/245862400000000000000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000) (fma.f64 11784999493416810208044520019/118540800000000000000000000000 (*.f64 z z) (*.f64 (pow.f64 z 3) 1031437005281937915679/245862400000000000000000000000)))
(+.f64 (fma.f64 z 350291408665333106351952839/705600000000000000000000000 10409174657078461523082059/4200000000000000000000000) (fma.f64 (*.f64 z z) 11784999493416810208044520019/118540800000000000000000000000 (*.f64 (pow.f64 z 3) 1031437005281937915679/245862400000000000000000000000)))
(*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2))
(*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)
(*.f64 z (*.f64 z 536852952257631293/5400000000000000000))
(+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))
(fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000))
(fma.f64 z 446800080651085577/900000000000000000 (*.f64 z (*.f64 z 536852952257631293/5400000000000000000)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000)) 371756020978964147/150000000000000000)
(fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))
(-.f64 (+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))) (*.f64 253373321288362579/25000000000000000000000 (/.f64 1 z)))
(+.f64 371756020978964147/150000000000000000 (-.f64 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000)) (/.f64 253373321288362579/25000000000000000000000 z)))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 -253373321288362579/25000000000000000000000 z))
(*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2))
(*.f64 (*.f64 z z) 536852952257631293/5400000000000000000)
(*.f64 z (*.f64 z 536852952257631293/5400000000000000000))
(+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))
(fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000))
(fma.f64 z 446800080651085577/900000000000000000 (*.f64 z (*.f64 z 536852952257631293/5400000000000000000)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000)) 371756020978964147/150000000000000000)
(fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))
(-.f64 (+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))) (*.f64 253373321288362579/25000000000000000000000 (/.f64 1 z)))
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(/.f64 (-.f64 (pow.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) 2) (*.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (+.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 -3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 -2496092394504893/250000000000000000000 (-.f64 7 z))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) 2) (*.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 -2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(/.f64 (-.f64 (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2)) (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 2)) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 2) (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2))) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (-.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 2) (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2))) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -2496092394504893/250000000000000000000 (-.f64 7 z)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) 2) (/.f64 -6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 -2496092394504893/250000000000000000000 (-.f64 7 z)))))
(pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 1)
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 3)
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(pow.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3) 1/3)
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2)
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 2))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(log.f64 (exp.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) 3))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(exp.f64 (log.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 1))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 2496092394504893/250000000000000000000 (/.f64 1 (-.f64 7 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 1 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 1 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 1 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) 2) (cbrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) 2) (cbrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2) (cbrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 (sqrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (sqrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 (sqrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) (sqrt.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (sqrt.f64 (+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(+.f64 (fma.f64 z (*.f64 z 536852952257631293/5400000000000000000) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))

localize176.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 498 to 392 computations (21.3% saved)

eval1.1s (1.4%)

Compiler

Compiled 79306 to 60280 computations (24% saved)

prune310.0ms (0.4%)

Pruning

53 alts after pruning (49 fresh and 4 done)

PrunedKeptTotal
New978281006
Fresh212142
Picked011
Done235
Total1001531054
Accurracy
98.4%
Counts
1054 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.4%
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z)))) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z)))) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 1 (/.f64 (*.f64 (-.f64 3 z) (-.f64 4 z)) (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
✓97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
95.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 12777243138120953/60000000000000 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z))) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
94.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
13.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
2.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶96.2%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000) (*.f64 (*.f64 z z) 11784999493416810208044520019/118540800000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 z -15/2))))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 z -15/2))))))
✓94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 7713234287776531/30000000000000))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.2%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.3%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/25200000000000000000000000) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 3)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))))
95.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000))))
94.7%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 (pow.f64 (PI.f64) 2) 1/6) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6))) 1/840))) (fma.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/25200000000000000000000000) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 3)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2)))))))
95.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
94.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
95.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))))))))))
95.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2)))))))
95.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))))))) (*.f64 1/720 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))))))))))
2.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
2.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
2.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
▶95.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
✓95.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (*.f64 1/4 (log.f64 15/2)) -15/4) 2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
92.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
▶95.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
Compiler

Compiled 6517 to 5463 computations (16.2% saved)

localize218.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.0%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓98.5%
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 661 to 527 computations (20.3% saved)

series3.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms
z
@inf
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
1.0ms
z
@0
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms
z
@-inf
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms
z
@-inf
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))

rewrite71.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1444×add-exp-log
1444×add-log-exp
1444×add-cube-cbrt
1442×log1p-expm1-u
1442×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060396
11492396
Stop Event
1×node limit
Counts
2 → 17
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Outputs
(*.f64 1 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)) (+.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000))) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (-.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(pow.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
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simplify97.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
814×times-frac
610×associate--r+
558×associate-*r/
514×associate-*l/
472×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02356113
17125789
233775193
Stop Event
1×node limit
Counts
41 → 85
Calls
Call 1
Inputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
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(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
(+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z z) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z z) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (pow.f64 z 3)))))
(fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z z) (+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 102757979785251069442117317613/235200000000000000000000000 z (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z z) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)) (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (pow.f64 z 3)))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))

localize24.0ms (0%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
✓99.2%
(/.f64 (exp.f64 -15/2) z)
✓98.9%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 52 to 44 computations (15.4% saved)

series5.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
1.0ms
z
@0
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
1.0ms
z
@inf
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
1.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
0.0ms
z
@-inf
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))

rewrite88.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1718×log-prod
776×pow-prod-up
664×pow-exp
618×expm1-udef
610×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01883
136783
2426183
Stop Event
1×node limit
Counts
3 → 87
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
Outputs
(+.f64 0 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1)
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) z)
(pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 2)
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2))))))
(exp.f64 (*.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2))))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(+.f64 0 (/.f64 (exp.f64 -15/2) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) 1)
(*.f64 (exp.f64 -15/2) (/.f64 1 z))
(*.f64 (/.f64 (exp.f64 -15/2) z) 1)
(*.f64 1 (/.f64 (exp.f64 -15/2) z))
(*.f64 (exp.f64 -5) (*.f64 (exp.f64 -5/2) (/.f64 1 z)))
(*.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2))
(*.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))
(*.f64 (exp.f64 -15/4) (*.f64 (exp.f64 -15/4) (/.f64 1 z)))
(*.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) (/.f64 (exp.f64 -15/4) (sqrt.f64 z)))
(*.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) (exp.f64 -15/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/2) (cbrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (sqrt.f64 z)))
(*.f64 (/.f64 (exp.f64 -5) 1) (/.f64 (exp.f64 -5/2) z))
(*.f64 (/.f64 (exp.f64 -5) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))
(*.f64 (/.f64 (exp.f64 -5) (sqrt.f64 z)) (/.f64 (exp.f64 -5/2) (sqrt.f64 z)))
(*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z))
(*.f64 (/.f64 (exp.f64 -15/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/4) (cbrt.f64 z)))
(pow.f64 (/.f64 (exp.f64 -15/2) z) 1)
(pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3) 1/3)
(pow.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) 2)
(pow.f64 (/.f64 z (exp.f64 -15/2)) -1)
(pow.f64 (/.f64 (/.f64 z (exp.f64 -15/2)) 1) -1)
(neg.f64 (/.f64 (exp.f64 -15/2) (neg.f64 z)))
(sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)))
(log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -15/2) z))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3))
(cbrt.f64 (/.f64 (exp.f64 -45/2) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z)))
(exp.f64 (-.f64 -15/2 (log.f64 z)))
(exp.f64 (*.f64 (-.f64 -15/2 (log.f64 z)) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 -15/2 (log.f64 z)) 1) 1))
(exp.f64 (*.f64 (-.f64 -5/2 (log.f64 (cbrt.f64 z))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 -15/2 (log.f64 z))) 1/3))
(exp.f64 (*.f64 (-.f64 -15/4 (log.f64 (sqrt.f64 z))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 z) -15/2) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))
(+.f64 0 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(pow.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))

simplify71.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1520×associate-*r/
1326×fma-def
970×unswap-sqr
668×times-frac
616×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02523403
15663293
219013159
Stop Event
1×node limit
Counts
111 → 114
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))) (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1)
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) z)
(pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))) 2)
(sqrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2))))))
(exp.f64 (*.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2))))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))
(+.f64 0 (/.f64 (exp.f64 -15/2) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) 1)
(*.f64 (exp.f64 -15/2) (/.f64 1 z))
(*.f64 (/.f64 (exp.f64 -15/2) z) 1)
(*.f64 1 (/.f64 (exp.f64 -15/2) z))
(*.f64 (exp.f64 -5) (*.f64 (exp.f64 -5/2) (/.f64 1 z)))
(*.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2))
(*.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))
(*.f64 (exp.f64 -15/4) (*.f64 (exp.f64 -15/4) (/.f64 1 z)))
(*.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) (/.f64 (exp.f64 -15/4) (sqrt.f64 z)))
(*.f64 (neg.f64 (exp.f64 -15/2)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) (exp.f64 -15/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/2) (cbrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (exp.f64 -15/2) (sqrt.f64 z)))
(*.f64 (/.f64 (exp.f64 -5) 1) (/.f64 (exp.f64 -5/2) z))
(*.f64 (/.f64 (exp.f64 -5) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -5/2) (cbrt.f64 z)))
(*.f64 (/.f64 (exp.f64 -5) (sqrt.f64 z)) (/.f64 (exp.f64 -5/2) (sqrt.f64 z)))
(*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z))
(*.f64 (/.f64 (exp.f64 -15/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (exp.f64 -15/4) (cbrt.f64 z)))
(pow.f64 (/.f64 (exp.f64 -15/2) z) 1)
(pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3) 1/3)
(pow.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) 2)
(pow.f64 (/.f64 z (exp.f64 -15/2)) -1)
(pow.f64 (/.f64 (/.f64 z (exp.f64 -15/2)) 1) -1)
(neg.f64 (/.f64 (exp.f64 -15/2) (neg.f64 z)))
(sqrt.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)))
(log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -15/2) z))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 -15/2) z) 3))
(cbrt.f64 (/.f64 (exp.f64 -45/2) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z)))
(exp.f64 (-.f64 -15/2 (log.f64 z)))
(exp.f64 (*.f64 (-.f64 -15/2 (log.f64 z)) 1))
(exp.f64 (*.f64 (*.f64 (-.f64 -15/2 (log.f64 z)) 1) 1))
(exp.f64 (*.f64 (-.f64 -5/2 (log.f64 (cbrt.f64 z))) 3))
(exp.f64 (*.f64 (*.f64 3 (-.f64 -15/2 (log.f64 z))) 1/3))
(exp.f64 (*.f64 (-.f64 -15/4 (log.f64 (sqrt.f64 z))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 z) -15/2) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z)))
(+.f64 0 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(pow.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64))) z))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64))) z))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64))) z))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64))) z))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64))) z))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64))) z))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64))) z))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) (sqrt.f64 (PI.f64))) z))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))) (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))) (sqrt.f64 (*.f64 2 (PI.f64))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 (*.f64 2 (PI.f64))))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1)
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) 1)
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3)
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) 3) 1/3)
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 2)
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) 3))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z))) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2)))
(cbrt.f64 (*.f64 (*.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) 3)) (pow.f64 (*.f64 2 (PI.f64)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z))) 3) (pow.f64 (*.f64 2 (PI.f64)) 3/2)))
(cbrt.f64 (*.f64 (*.f64 1353667544463053517362301055662189939940116838557164185039425992840995977633531379/74088000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) 3)) (pow.f64 (*.f64 2 (PI.f64)) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 1))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))) 1) 1))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 1/3))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))))) 2))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))

localize95.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 251 to 184 computations (26.7% saved)

series11.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
3.0ms
z
@0
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
2.0ms
z
@-inf
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
2.0ms
z
@inf
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
0.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))

rewrite72.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1048×add-sqr-sqrt
996×pow1
986×add-exp-log
986×add-log-exp
984×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044182
11034182
Stop Event
1×node limit
Counts
2 → 12
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Outputs
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(pow.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))

simplify77.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1684×distribute-lft-in
1680×distribute-rgt-in
1178×times-frac
500×associate-*r*
478×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02454800
17574570
229794474
Stop Event
1×node limit
Counts
36 → 69
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 295755570232608827/540000000000000 (exp.f64 -15/2)))))))) (PI.f64)) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1967803238479727281/3240000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 295755570232608827/540000000000000 (exp.f64 -15/2))))) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 295755570232608827/540000000000000 (exp.f64 -15/2)))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3))))))))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) (PI.f64))))) (pow.f64 z 2)) (sqrt.f64 (pow.f64 (PI.f64) 3))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 z (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 295755570232608827/540000000000000 (exp.f64 -15/2)))))))) (PI.f64)) (*.f64 -1106209385320415913103082059/25200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64))))))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(*.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 -170836605963169966896917941/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 -170836605963169966896917941/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 -943522900885677/5000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 -1180530552525097/2500000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -170836605963169966896917941/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 -943522900885677/5000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(*.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 -170836605963169966896917941/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 -943522900885677/5000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 -170836605963169966896917941/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 -943522900885677/5000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -170836605963169966896917941/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 -1180530552525097/2500000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(pow.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 -15/2))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)) (fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 z z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 z z))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 z z))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(fma.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)) (fma.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 z z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64)))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3)))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 z z)))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (pow.f64 z 3) (sqrt.f64 2)))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 z z)))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 -15/2 z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
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(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))
(exp.f64 (log.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (exp.f64 (+.f64 -15/2 z)))))

localize180.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
97.6%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 520 to 396 computations (23.8% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
0.0ms
z
@-inf
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
0.0ms
z
@inf
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))

rewrite58.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1360×add-exp-log
1360×add-log-exp
1358×log1p-expm1-u
1358×add-cube-cbrt
1358×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056193
11399193
Stop Event
1×node limit
Counts
1 → 6
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
Outputs
(pow.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))

simplify66.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1756×fma-def
1332×associate-+r+
1250×associate-+l+
646×times-frac
630×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01812896
15172806
220222556
Stop Event
1×node limit
Counts
18 → 43
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))))))) (pow.f64 z 3)) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2)))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 3))) (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (+.f64 (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 3))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))))))
(pow.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))
(*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(fma.f64 (fma.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) z (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))))

localize181.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
✓98.4%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.6%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 539 to 412 computations (23.6% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite50.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1672×pow1
1554×add-exp-log
1552×log1p-expm1-u
1552×expm1-log1p-u
1522×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
122413
2226513
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
Outputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2))) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) 3) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6))
(sqrt.f64 (*.f64 (PI.f64) 2))
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))

simplify73.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1406×distribute-lft-in
1288×distribute-rgt-in
1236×fma-def
1234×fma-neg
1004×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065819
1133717
2394587
31336587
43027587
57618587
Stop Event
1×node limit
Counts
25 → 34
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2))) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) 3) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6))
(sqrt.f64 (*.f64 (PI.f64) 2))
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
Outputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) 4))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2))) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) 3) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) 3))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1) (pow.f64 (*.f64 (PI.f64) 2) 1/6))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6) (cbrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (PI.f64) 2))) 4))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1/6)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1))
(+.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 0)
(sqrt.f64 (*.f64 (PI.f64) 2))

eval880.0ms (1.1%)

Compiler

Compiled 57267 to 44425 computations (22.4% saved)

prune270.0ms (0.3%)

Pruning

72 alts after pruning (67 fresh and 5 done)

PrunedKeptTotal
New77039809
Fresh162844
Picked101
Done358
Total79072862
Accurracy
98.4%
Counts
862 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
3.1%
(*.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (+.f64 -15/2 z))))))
95.7%
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
95.2%
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z)))) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z)))) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
2.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
▶97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 1 z) (*.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) 6765203681218851/10000000000000)) (*.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) (-.f64 1 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
✓97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
95.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))))
▶2.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
13.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
96.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 z -15/2))))))
✓96.2%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000) (*.f64 (*.f64 z z) 11784999493416810208044520019/118540800000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 z -15/2))))))
✓94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶95.3%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.5%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
94.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/25200000000000000000000000) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 3)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))))
95.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000))))
94.7%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 (pow.f64 (PI.f64) 2) 1/6) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6))) 1/840))) (fma.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/25200000000000000000000000) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 3)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2)))))))
95.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) z))
95.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
94.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
46.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1))
95.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))))))))))
95.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2)))))))
95.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))))))) (*.f64 1/720 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))))))))))
2.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (neg.f64 (-.f64 2 z)) 6765203681218851/10000000000000)) (*.f64 (neg.f64 (-.f64 2 z)) (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (*.f64 1/4 (log.f64 15/2)) -15/4) 2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
92.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 z (exp.f64 -15/2)) -1) (sqrt.f64 15/2))))
✓95.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
94.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)) (sqrt.f64 15/2))))
95.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
0.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
46.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
46.7%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
46.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (*.f64 (-.f64 -5/2 (log.f64 (cbrt.f64 z))) 3)) (sqrt.f64 15/2))))
0.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
46.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
46.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))))))
95.7%
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
95.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
95.6%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
95.2%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
3.1%
(*.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
24.8%
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
▶24.8%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
▶46.7%
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
Compiler

Compiled 6511 to 5513 computations (15.3% saved)

localize222.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.0%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
✓98.5%
(+.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓98.4%
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Compiler

Compiled 668 to 534 computations (20.1% saved)

series3.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(+.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
0.0ms
z
@0
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms
z
@-inf
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms
z
@inf
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
0.0ms
z
@inf
(+.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

rewrite77.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1434×add-exp-log
1434×add-log-exp
1434×add-cube-cbrt
1432×pow1
1432×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061433
11493433
Stop Event
1×node limit
Counts
3 → 27
Calls
Call 1
Inputs
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Outputs
(+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 1 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(pow.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(log.f64 (exp.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(cbrt.f64 (*.f64 (*.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(expm1.f64 (log1p.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (log.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log1p.f64 (expm1.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 1 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (cbrt.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (sqrt.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) 3) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 3)) (+.f64 (*.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000))) (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (*.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(/.f64 (-.f64 (*.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (-.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(pow.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)
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(expm1.f64 (log1p.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
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(log1p.f64 (expm1.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
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simplify99.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
814×times-frac
566×associate-*r/
558×associate--r+
528×fma-def
512×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02836777
18056441
236715845
Stop Event
1×node limit
Counts
63 → 112
Calls
Call 1
Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
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(/.f64 5826188486005177/10000000000000 z)
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(/.f64 5826188486005177/10000000000000 z)
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1106209385320415913103082059/4200000000000000000000000
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(pow.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) 1)
(log.f64 (exp.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(exp.f64 (log.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(pow.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
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(/.f64 5826188486005177/10000000000000 z)
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (exp.f64 (+.f64 z -15/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (exp.f64 (+.f64 z -15/2))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (exp.f64 (+.f64 z -15/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (exp.f64 (+.f64 z -15/2))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -1 (+.f64 z -13/2)))) (+.f64 (fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -1 (+.f64 z -13/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/1766150291621406 (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))) (exp.f64 (+.f64 z -15/2))))

localize24.0ms (0%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2))))
✓99.7%
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))
✓98.7%
(*.f64 (exp.f64 -15) (pow.f64 z -2))
✓55.5%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
Compiler

Compiled 46 to 38 computations (17.4% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
z
@0
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
1.0ms
z
@inf
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
1.0ms
z
@0
(*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2))))
0.0ms
z
@0
(*.f64 (exp.f64 -15) (pow.f64 z -2))
0.0ms
z
@inf
(*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2))))

rewrite97.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1382×log-prod
886×pow-prod-down
684×pow-prod-up
590×pow-exp
576×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015106
1306106
23448106
Stop Event
1×node limit
Counts
4 → 106
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))
(*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2))))
Outputs
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) 1)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))) 1)
(*.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/6) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))) (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/6))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/4) (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/4))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) 1/2) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))
(pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/2)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))) 3/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 3/2) 1/3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) 1/4)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/4) 2)
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))
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(exp.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
(exp.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1) 1))
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(exp.f64 (*.f64 (*.f64 3/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)))) 1)
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (exp.f64 -15) (pow.f64 z -2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))) 1)
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(pow.f64 (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/2)
(pow.f64 (pow.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)) 3) 1/3)
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(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 2))
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(exp.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1/2))
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simplify131.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1370×fma-def
1338×log-prod
846×unswap-sqr
568×prod-exp
408×log-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02785552
16455316
222134428
362964308
Stop Event
1×node limit
Counts
154 → 146
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) 1)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))) 1)
(*.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/6) (cbrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))) (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/6))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/4) (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/4))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) 1/2) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))
(pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/2)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))) 3/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 3/2) 1/3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) 1/4)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/4) 2)
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 3/2))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(exp.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
(exp.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1/2))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1))
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(exp.f64 (*.f64 (*.f64 1/4 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 2))
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(pow.f64 (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/2)
(pow.f64 (pow.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (*.f64 (exp.f64 -15) (pow.f64 z -2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))
(exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(exp.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1/3))
(exp.f64 (*.f64 (+.f64 (log.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (+.f64 (neg.f64 (log.f64 z)) -15/2)) 2))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))
(+.f64 0 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))) 2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/6) 6)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 3/2) 2/3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 1/4) 4)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1497439742288671208960574098187150551742106235789324730087570573753004257092462719664736576201616388988429361/1382976000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15))) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))
(exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))))
(exp.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 2))
(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1) 2))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (neg.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (neg.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (neg.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(*.f64 -1 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (neg.f64 (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (neg.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(/.f64 (exp.f64 -15) (pow.f64 z 2))
(/.f64 (exp.f64 -15) (*.f64 z z))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (pow.f64 z 2)))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))
(*.f64 (exp.f64 -15) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))
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(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000))) 1/2) 2))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))
(exp.f64 (*.f64 (*.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1) 2))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 3))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))
(exp.f64 (*.f64 (*.f64 2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1/2))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))) 1/3))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))
(*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))
(*.f64 (exp.f64 -15) (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))

localize36.0ms (0%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.2%
(/.f64 (exp.f64 -15/2) z)
✓98.4%
(*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓95.5%
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
Compiler

Compiled 80 to 69 computations (13.8% saved)

series0.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
0.0ms
z
@-inf
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
0.0ms
z
@inf
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))

rewrite92.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1778×log-prod
698×pow-exp
644×expm1-udef
636×log1p-udef
536×log-pow
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02056
138944
2449444
Stop Event
1×node limit
Counts
2 → 70
Calls
Call 1
Inputs
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)
Outputs
(+.f64 0 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))))) 1)
(*.f64 (exp.f64 -15/2) (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z))))) (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(*.f64 (cbrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))) (*.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 2) (*.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))) (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) (*.f64 (/.f64 (exp.f64 -15/4) (sqrt.f64 z)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 (exp.f64 -15/2) z))
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (cbrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (pow.f64 (*.f64 (PI.f64) 2) 1/4)) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z))))) (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000)
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) z)
(/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))) z)
(/.f64 (*.f64 (neg.f64 (exp.f64 -15/2)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))) 2)) (cbrt.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))))
(pow.f64 (exp.f64 1) (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))))) (sqrt.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(+.f64 0 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) (cbrt.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 1)
(pow.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 3)
(pow.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 2)
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(log.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(cbrt.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(exp.f64 (log.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))

simplify94.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
2032×fma-def
1372×associate-*r/
566×cube-prod
546×associate-/l*
500×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02053256
14593160
218373082
362873064
Stop Event
1×node limit
Counts
82 → 111
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) 1106209385320415913103082059/4200000000000000000000000)
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(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 1)
(pow.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 3)
(pow.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 2)
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(log.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(cbrt.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(exp.f64 (log.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 3))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
Outputs
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))) (/.f64 z (exp.f64 -15/2))) (sqrt.f64 15/2)))
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(pow.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1/3)
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(pow.f64 (sqrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 2)
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(log.f64 (exp.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(cbrt.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(expm1.f64 (log1p.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(exp.f64 (log.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1) 1))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 3))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) 1/3))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000))) 2))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)
(log1p.f64 (expm1.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))
(sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)

localize79.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.3%
(+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z))
✓99.3%
(*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
✓98.8%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 202 to 134 computations (33.7% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
0.0ms
z
@0
(*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
0.0ms
z
@-inf
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
0.0ms
z
@inf
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
0.0ms
z
@inf
(*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z))))

rewrite79.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
586×add-sqr-sqrt
556×add-exp-log
556×add-log-exp
554×pow1
554×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024155
1577131
Stop Event
1×node limit
Counts
3 → 125
Calls
Call 1
Inputs
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z))
Outputs
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) 9999999999998099/10000000000000000)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(+.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) (exp.f64 (+.f64 z -15/2)))))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 9999999999998099/10000000000000000) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 9999999999998099/10000000000000000))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 -611458333333720910362579/25000000000000000000000 z)))
(+.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 9999999999998099/10000000000000000) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(+.f64 (*.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 (*.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(+.f64 (*.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))))) 1)
(/.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 3))) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) (-.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 9999999999998099/10000000000000000))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (pow.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 2))) (-.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))) (pow.f64 (-.f64 15/2 z) z))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 3) (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(exp.f64 (+.f64 (+.f64 (+.f64 z -15/2) (log.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(exp.f64 (*.f64 (+.f64 (+.f64 (+.f64 z -15/2) (log.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(+.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 9999999999998099/10000000000000000) (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(+.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) (*.f64 (exp.f64 (+.f64 z -15/2)) 9999999999998099/10000000000000000))
(+.f64 (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))) (*.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (*.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 9999999999998099/10000000000000000 (exp.f64 (+.f64 z -15/2))))
(+.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 9999999999998099/10000000000000000 (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))
(+.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2))) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (exp.f64 (+.f64 z -15/2))))
(+.f64 (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) 9999999999998099/10000000000000000) 1) (*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) 1))
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(/.f64 (neg.f64 (+.f64 (*.f64 1254089619816215940420792278373781613681716584647968734458981239915706463/244140625000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 z -2) 3)) (/.f64 -228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (neg.f64 (+.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4)) (-.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 -659391066937744943757856766914368389870040663693/156250000000000000000000000000000000000000000 (pow.f64 z 3))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)))) (neg.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(/.f64 (+.f64 (/.f64 -228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 1254089619816215940420792278373781613681716584647968734458981239915706463/244140625000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 z -2) 3))) (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (-.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4)) (*.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2))))))
(/.f64 (-.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4))) (-.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2))))
(pow.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) 3)
(pow.f64 (pow.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 2))
(log.f64 (exp.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(cbrt.f64 (pow.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(exp.f64 (log.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1 z) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))
(fma.f64 1 (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 1 (/.f64 -611458333333720910362579/25000000000000000000000 z) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))
(fma.f64 (cbrt.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4))) (cbrt.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2))) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) 2) (cbrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))
(fma.f64 (/.f64 (sqrt.f64 1078390842009938509147167/6250000000000000000000) z) (/.f64 (sqrt.f64 1078390842009938509147167/6250000000000000000000) z) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 (sqrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) (sqrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))

simplify148.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
968×fma-def
962×associate-*r*
840×associate-*l*
626×associate-/r*
458×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05369589
116688883
264908863
Stop Event
1×node limit
Counts
161 → 234
Calls
Call 1
Inputs
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(fma.f64 (exp.f64 (+.f64 z -15/2)) 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 z -15/2)) (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))) 1)
(-.f64 (/.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)) (/.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(*.f64 1 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))
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(*.f64 (sqrt.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) (sqrt.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(*.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 z (*.f64 z (*.f64 z -611458333333720910362579/25000000000000000000000))) (/.f64 1 (pow.f64 z 3)))
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(*.f64 (-.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 1 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
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(/.f64 1 (/.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z) (-.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)))))
(/.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 z (*.f64 z (*.f64 z -611458333333720910362579/25000000000000000000000))) (pow.f64 z 3))
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(/.f64 (-.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z))) (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z))
(/.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z -25000000000000000000000/611458333333720910362579)) (*.f64 (*.f64 z z) 1)) (*.f64 (*.f64 z z) (*.f64 z -25000000000000000000000/611458333333720910362579)))
(/.f64 (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (neg.f64 z)) (*.f64 (*.f64 z z) 611458333333720910362579/25000000000000000000000)) (*.f64 (*.f64 z z) (neg.f64 z)))
(/.f64 (+.f64 z (*.f64 (*.f64 (*.f64 z z) 6250000000000000000000/1078390842009938509147167) -611458333333720910362579/25000000000000000000000)) (*.f64 (*.f64 (*.f64 z z) 6250000000000000000000/1078390842009938509147167) z))
(/.f64 (+.f64 (*.f64 z -25000000000000000000000/611458333333720910362579) (*.f64 (*.f64 (*.f64 z z) 6250000000000000000000/1078390842009938509147167) 1)) (*.f64 (*.f64 (*.f64 z z) 6250000000000000000000/1078390842009938509147167) (*.f64 z -25000000000000000000000/611458333333720910362579)))
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(/.f64 (+.f64 (*.f64 -1078390842009938509147167/6250000000000000000000 z) (*.f64 (*.f64 z (neg.f64 z)) -611458333333720910362579/25000000000000000000000)) (*.f64 (*.f64 z (neg.f64 z)) z))
(/.f64 (+.f64 (*.f64 -1078390842009938509147167/6250000000000000000000 (*.f64 z -25000000000000000000000/611458333333720910362579)) (*.f64 (*.f64 z (neg.f64 z)) 1)) (*.f64 (*.f64 z (neg.f64 z)) (*.f64 z -25000000000000000000000/611458333333720910362579)))
(/.f64 (+.f64 (*.f64 -1078390842009938509147167/6250000000000000000000 (neg.f64 z)) (*.f64 (*.f64 z (neg.f64 z)) 611458333333720910362579/25000000000000000000000)) (*.f64 (*.f64 z (neg.f64 z)) (neg.f64 z)))
(/.f64 (+.f64 (*.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) z) (*.f64 z -611458333333720910362579/25000000000000000000000)) (*.f64 z z))
(/.f64 (+.f64 (*.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) (*.f64 z -25000000000000000000000/611458333333720910362579)) (*.f64 z 1)) (*.f64 z (*.f64 z -25000000000000000000000/611458333333720910362579)))
(/.f64 (+.f64 (*.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) (neg.f64 z)) (*.f64 z 611458333333720910362579/25000000000000000000000)) (*.f64 z (neg.f64 z)))
(/.f64 (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 z z)) (*.f64 z 1078390842009938509147167/6250000000000000000000)) (pow.f64 z 3))
(/.f64 (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (*.f64 z z) 6250000000000000000000/1078390842009938509147167)) (*.f64 z 1)) (*.f64 z (*.f64 (*.f64 z z) 6250000000000000000000/1078390842009938509147167)))
(/.f64 (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (*.f64 z (neg.f64 z))) (*.f64 z -1078390842009938509147167/6250000000000000000000)) (*.f64 z (*.f64 z (neg.f64 z))))
(/.f64 (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 z) (*.f64 z (/.f64 1078390842009938509147167/6250000000000000000000 z))) (*.f64 z z))
(/.f64 (+.f64 (*.f64 z z) (*.f64 (*.f64 z -25000000000000000000000/611458333333720910362579) 1078390842009938509147167/6250000000000000000000)) (*.f64 (*.f64 z -25000000000000000000000/611458333333720910362579) (*.f64 z z)))
(/.f64 (+.f64 (*.f64 (*.f64 z z) 6250000000000000000000/1078390842009938509147167) (*.f64 (*.f64 z -25000000000000000000000/611458333333720910362579) 1)) (*.f64 (*.f64 z -25000000000000000000000/611458333333720910362579) (*.f64 (*.f64 z z) 6250000000000000000000/1078390842009938509147167)))
(/.f64 (+.f64 (*.f64 z (neg.f64 z)) (*.f64 (*.f64 z -25000000000000000000000/611458333333720910362579) -1078390842009938509147167/6250000000000000000000)) (*.f64 (*.f64 z -25000000000000000000000/611458333333720910362579) (*.f64 z (neg.f64 z))))
(/.f64 (+.f64 z (*.f64 (*.f64 z -25000000000000000000000/611458333333720910362579) (/.f64 1078390842009938509147167/6250000000000000000000 z))) (*.f64 (*.f64 z -25000000000000000000000/611458333333720910362579) z))
(/.f64 (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 z z)) (*.f64 (neg.f64 z) 1078390842009938509147167/6250000000000000000000)) (*.f64 (neg.f64 z) (*.f64 z z)))
(/.f64 (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 (*.f64 z z) 6250000000000000000000/1078390842009938509147167)) (*.f64 (neg.f64 z) 1)) (*.f64 (neg.f64 z) (*.f64 (*.f64 z z) 6250000000000000000000/1078390842009938509147167)))
(/.f64 (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (*.f64 z (neg.f64 z))) (*.f64 (neg.f64 z) -1078390842009938509147167/6250000000000000000000)) (*.f64 (neg.f64 z) (*.f64 z (neg.f64 z))))
(/.f64 (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 z) (*.f64 (neg.f64 z) (/.f64 1078390842009938509147167/6250000000000000000000 z))) (*.f64 z (neg.f64 z)))
(/.f64 (neg.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 z (*.f64 z (*.f64 z -611458333333720910362579/25000000000000000000000)))) (neg.f64 (pow.f64 z 3)))
(/.f64 (neg.f64 (+.f64 (*.f64 1254089619816215940420792278373781613681716584647968734458981239915706463/244140625000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 z -2) 3)) (/.f64 -228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)))) (neg.f64 (+.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4)) (-.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 -659391066937744943757856766914368389870040663693/156250000000000000000000000000000000000000000 (pow.f64 z 3))))))
(/.f64 (neg.f64 (-.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4)) (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)))) (neg.f64 (/.f64 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 z) -611458333333720910362579/25000000000000000000000) z)))
(/.f64 (+.f64 (/.f64 -228612832529008218773333374170373100626313392698411571449045763623830539/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 z 3)) (*.f64 1254089619816215940420792278373781613681716584647968734458981239915706463/244140625000000000000000000000000000000000000000000000000000000000 (pow.f64 (pow.f64 z -2) 3))) (+.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (-.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4)) (*.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2))))))
(/.f64 (-.f64 (/.f64 373881293403251752186459607854842487785243531241/625000000000000000000000000000000000000000000 (*.f64 z z)) (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4))) (-.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2))))
(pow.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) 3)
(pow.f64 (pow.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 2))
(log.f64 (exp.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))
(cbrt.f64 (pow.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(exp.f64 (log.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))))
(fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 -611458333333720910362579/25000000000000000000000 (/.f64 1 z) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))
(fma.f64 1 (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 1 (/.f64 -611458333333720910362579/25000000000000000000000 z) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))
(fma.f64 (cbrt.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4))) (cbrt.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2))) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) 2) (cbrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))
(fma.f64 (/.f64 (sqrt.f64 1078390842009938509147167/6250000000000000000000) z) (/.f64 (sqrt.f64 1078390842009938509147167/6250000000000000000000) z) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 (sqrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) (sqrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))
Outputs
(*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2)))
(*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (*.f64 z z) (sqrt.f64 15/2))))
(*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (sqrt.f64 15/2)))
(+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) z)) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))))
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(fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 (cbrt.f64 (/.f64 1162926808130904158494975020053296322129664125889/39062500000000000000000000000000000000000000 (pow.f64 z 4))) (cbrt.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2))) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) 2) (cbrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))
(fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 (/.f64 (sqrt.f64 1078390842009938509147167/6250000000000000000000) z) (/.f64 (sqrt.f64 1078390842009938509147167/6250000000000000000000) z) (/.f64 -611458333333720910362579/25000000000000000000000 z))
(fma.f64 (sqrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) (sqrt.f64 (/.f64 -611458333333720910362579/25000000000000000000000 z)) (*.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2)))
(fma.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z -2) (/.f64 -611458333333720910362579/25000000000000000000000 z))

localize39.0ms (0%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.2%
(*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
98.4%
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)
✓98.4%
(sqrt.f64 (PI.f64))
Compiler

Compiled 79 to 51 computations (35.4% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite41.0ms (0%)

Algorithm
1×batch-egg-rewrite
Rules
868×pow1
832×add-sqr-sqrt
818×*-un-lft-identity
796×add-exp-log
796×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
1987
211197
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(sqrt.f64 (PI.f64))
Outputs
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (+.f64 1 (sqrt.f64 (PI.f64))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))

simplify43.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1844×fma-def
710×exp-prod
700×log-prod
686×associate-*r*
594×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066263
1127249
2323225
31018225
43626225
Stop Event
1×node limit
Counts
25 → 29
Calls
Call 1
Inputs
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (+.f64 1 (sqrt.f64 (PI.f64))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
Outputs
(+.f64 0 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(sqrt.f64 (PI.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) 3)
(-.f64 (+.f64 1 (sqrt.f64 (PI.f64))) 1)
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(*.f64 1 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) 1/2)
(sqrt.f64 (PI.f64))
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(sqrt.f64 (PI.f64))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (PI.f64)))) 3))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (PI.f64))) 1/3))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (PI.f64))) 2))
(sqrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))

eval559.0ms (0.7%)

Compiler

Compiled 34540 to 25974 computations (24.8% saved)

prune226.0ms (0.3%)

Pruning

75 alts after pruning (69 fresh and 6 done)

PrunedKeptTotal
New84927876
Fresh204262
Picked011
Done459
Total87375948
Accurracy
98.4%
Counts
948 → 75
Alt Table
Click to see full alt table
StatusAccuracyProgram
22.7%
(pow.f64 (exp.f64 1/2) (+.f64 -15 (log.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))))
94.8%
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
95.9%
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
46.8%
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) 1)
92.6%
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
3.1%
(*.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (+.f64 -15/2 z))))))
95.8%
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 (PI.f64))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (neg.f64 z) 2)))) 3) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z)))) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (expm1.f64 (log1p.f64 (neg.f64 z))) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z)))) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))))
96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 1 z) (*.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) 6765203681218851/10000000000000)) (*.f64 (*.f64 (-.f64 2 z) -2500000000000/3147848041806007) (-.f64 1 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
✓97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -7713234287776531/1766150291621406)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
95.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
2.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)))))))
✓2.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
2.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
13.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
✓96.2%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000) (*.f64 (*.f64 z z) 11784999493416810208044520019/118540800000000000000000000000)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64))))) (exp.f64 (+.f64 z -15/2))))))
✓94.7%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
95.9%
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
95.8%
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
95.8%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (fma.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/25200000000000000000000000) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 3)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))))
95.5%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000))))
95.8%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 (pow.f64 (PI.f64) 2) 1/6) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6))) 1/840))) (fma.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/25200000000000000000000000) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 3)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2)))))))
95.6%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))))))))))
95.6%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2)))))))
95.6%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))))))) (*.f64 1/720 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))))))))))
✓95.3%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.3%
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
94.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/25200000000000000000000000) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 3)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))))
95.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) (*.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000))))
94.7%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 (pow.f64 (PI.f64) 2) 1/6) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6))) 1/840))) (fma.f64 (exp.f64 -15/2) (*.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 15/2) z)) 1106209385320415913103082059/25200000000000000000000000) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (pow.f64 (PI.f64) 4) -7/360)) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 3)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2)))))))
95.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
94.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
46.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1))
95.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2)))))))
2.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (-.f64 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (neg.f64 (-.f64 2 z)) 6765203681218851/10000000000000)) (*.f64 (neg.f64 (-.f64 2 z)) (-.f64 1 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (*.f64 1/4 (log.f64 15/2)) -15/4) 2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
92.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 15/2) -15/2)) 1/3)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)) (sqrt.f64 15/2))))
0.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
46.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (*.f64 (-.f64 -5/2 (log.f64 (cbrt.f64 z))) 3)) (sqrt.f64 15/2))))
0.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
46.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
46.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))))))
95.7%
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
94.3%
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
3.1%
(*.f64 -7438431377385067353648047161/705600000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (-.f64 z 15/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
24.9%
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
8.6%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)) 1/3))))
24.8%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) 2))))
22.8%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 z)) -15/2) 2)))))
0.0%
(sqrt.f64 (*.f64 (PI.f64) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))))
22.6%
(sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
0.3%
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
Compiler

Compiled 3448 to 2919 computations (15.3% saved)

regimes309.0ms (0.4%)

Counts
146 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 z)) -15/2) 2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) 2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)) 1/3))))
(pow.f64 (exp.f64 1/2) (+.f64 -15 (log.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 z (exp.f64 -15/2)) -1) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)) (sqrt.f64 15/2))))
(sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
(sqrt.f64 (*.f64 (PI.f64) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))))))) (*.f64 1/720 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))))))))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 -1/5040 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4))))))) (*.f64 1/720 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 6)))))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z (pow.f64 (PI.f64) 2))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/120 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))) (*.f64 -1/36 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 4)))))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) (pow.f64 z 3)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (pow.f64 z 3))))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
Calls

2 calls:

60.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
54.0ms
z
Results
AccuracySegmentsBranch
97.7%1z
97.7%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Compiler

Compiled 8254 to 6587 computations (20.2% saved)

regimes88.0ms (0.1%)

Counts
83 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 z)) -15/2) 2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) 2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)) 1/3))))
(pow.f64 (exp.f64 1/2) (+.f64 -15 (log.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 z (exp.f64 -15/2)) -1) (sqrt.f64 15/2))))
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(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
Calls

1 calls:

30.0ms
z
Results
AccuracySegmentsBranch
97.7%1z
Compiler

Compiled 2496 to 1860 computations (25.5% saved)

regimes83.0ms (0.1%)

Counts
80 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
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(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
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(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
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(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 12777243138120953/60000000000000 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

31.0ms
z
Results
AccuracySegmentsBranch
97.4%1z
Compiler

Compiled 2270 to 1692 computations (25.5% saved)

regimes79.0ms (0.1%)

Counts
79 → 1
Calls
Call 1
Inputs
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(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

28.0ms
z
Results
AccuracySegmentsBranch
97.4%1z
Compiler

Compiled 2196 to 1636 computations (25.5% saved)

regimes75.0ms (0.1%)

Counts
77 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 z)) -15/2) 2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) 2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
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(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)) 1/3))))
(pow.f64 (exp.f64 1/2) (+.f64 -15 (log.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
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(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 z (exp.f64 -15/2)) -1) (sqrt.f64 15/2))))
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(sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
(sqrt.f64 (*.f64 (PI.f64) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (*.f64 1/4 (log.f64 15/2)) -15/4) 2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)))))))
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(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 (/.f64 6868447169803563/40000000000000 z) z) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 4029717223322681009147167/6250000000000000000000 (*.f64 z z)) (/.f64 4106156171094664089637421/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 12777243138120953/60000000000000 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

29.0ms
z
Results
AccuracySegmentsBranch
96.4%1z
Compiler

Compiled 2048 to 1524 computations (25.6% saved)

regimes59.0ms (0.1%)

Counts
67 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 z)) -15/2) 2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) 2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)) 1/3))))
(pow.f64 (exp.f64 1/2) (+.f64 -15 (log.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 z (exp.f64 -15/2)) -1) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)) (sqrt.f64 15/2))))
(sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
(sqrt.f64 (*.f64 (PI.f64) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (*.f64 (-.f64 -5/2 (log.f64 (cbrt.f64 z))) 3)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (*.f64 1/4 (log.f64 15/2)) -15/4) 2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 10409174657078461523082059/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

25.0ms
z
Results
AccuracySegmentsBranch
96.2%1z
Compiler

Compiled 1442 to 1086 computations (24.7% saved)

regimes53.0ms (0.1%)

Counts
64 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 z)) -15/2) 2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) 2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)) 1/3))))
(pow.f64 (exp.f64 1/2) (+.f64 -15 (log.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 z (exp.f64 -15/2)) -1) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)) (sqrt.f64 15/2))))
(sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
(sqrt.f64 (*.f64 (PI.f64) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (*.f64 1/4 (log.f64 15/2)) -15/4) 2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

24.0ms
z
Results
AccuracySegmentsBranch
96.0%1z
Compiler

Compiled 1288 to 974 computations (24.4% saved)

regimes49.0ms (0.1%)

Counts
61 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 z)) -15/2) 2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) 2))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)) (/.f64 z (exp.f64 -15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (sqrt.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)) 1/3))))
(pow.f64 (exp.f64 1/2) (+.f64 -15 (log.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (*.f64 (/.f64 1 z) (exp.f64 -15/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 z (exp.f64 -15/2)) -1) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (exp.f64 -15/4) 1) (/.f64 (exp.f64 -15/4) z)) (sqrt.f64 15/2))))
(sqrt.f64 (*.f64 (PI.f64) (exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))))
(sqrt.f64 (*.f64 (PI.f64) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)) (exp.f64 -15)))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (log.f64 1106209385320415913103082059/4200000000000000000000000) (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 (*.f64 (-.f64 -5/2 (log.f64 (cbrt.f64 z))) 3)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)))) 1))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1106209385320415913103082059/4200000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (*.f64 1/4 (log.f64 15/2)) -15/4) 2)) 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 9999999999998099/10000000000000000 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(*.f64 (pow.f64 (PI.f64) 3/2) (/.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -611458333333720910362579/25000000000000000000000 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 -611458333333720910362579/25000000000000000000000 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 4106156171094664089637421/25000000000000000000000 z)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Outputs
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
Calls

1 calls:

22.0ms
z
Results
AccuracySegmentsBranch
95.9%1z
Compiler

Compiled 1138 to 870 computations (23.6% saved)

regimes8.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000) (sqrt.f64 (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64)))
Outputs
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
Calls

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
95.9%1z
Compiler

Compiled 87 to 68 computations (21.8% saved)

regimes5.0ms (0%)

Accuracy

Total -44.5b remaining (-1218.9%)

Threshold costs -44.5b (-1218.9%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
(sqrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
Outputs
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
94.3%1z
Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify199.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
974×distribute-lft-neg-in
734×unsub-neg
488×neg-mul-1
440×neg-sub0
406×distribute-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01481510
12411502
22681502
33351502
44191502
55041502
66021502
76921502
87711502
98831502
1010561502
1112971502
1215781502
1318951502
1422061502
1525141502
1627261502
1728581502
1829171502
1929411502
2029431502
2129431502
2229481502
2329481502
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 -1 z) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 (+.f64 z -1) -13/2)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 z -15/2)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 9999999999998099/10000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 9999999999998099/10000000000000000))) (-.f64 (*.f64 z -7438431377385067353648047161/705600000000000000000000000) 175036605963169168476917941/4200000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))))))
(/.f64 (*.f64 (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 z (exp.f64 -15/2)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)) (/.f64 z (exp.f64 -15/2)))
(*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (/.f64 1 z)) (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (exp.f64 -15/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 1223699204170972405458614049551529263107435644887679481/1176000000000000000000000000000000000000000000000)) z))
Compiler

Compiled 492 to 402 computations (18.3% saved)

soundness2.0s (2.4%)

Rules
1778×log-prod
1718×log-prod
1718×log-prod
1520×associate-*r/
1442×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064311
1163293
2641237
34401229
053343
11362343
02885716
18855172
235804714
377354714
064311
1163293
2641237
34401229
02705677
18125503
236175013
02653594
16663486
224193202
01883
136783
2426183
02523403
15663293
219013159
015106
1306106
23448106
02785552
16455316
222134428
362964308
02785552
16455316
222134428
362964308
01883
136783
2426183
02056
138944
2449444
02705677
18125503
236175013
064311
1163293
2641237
34401229
02705677
18125503
236175013
056327
11394327
02705677
18125503
236175013
02885716
18855172
235804714
377354714
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 4205 to 3432 computations (18.4% saved)

end243.0ms (0.3%)

Compiler

Compiled 1214 to 952 computations (21.6% saved)

Profiling

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