Details

Time bar (total: 1.5min)

analyze1.3s (1.4%)

Algorithm
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 (69.1%)

Results
57.2s3933×body8192exit
5.8s8174×body256valid
57.0ms82×body256infinite
42.0ms82×body256unsamplable
Bogosity

preprocess54.0ms (0.1%)

Algorithm
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
saturated
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
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
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)

prune7.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New145
Fresh101
Picked000
Done000
Total246
Accurracy
98.2%
Counts
6 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
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))))))
97.5%
(*.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 350 to 293 computations (16.3% saved)

localize696.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
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))))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 525 to 400 computations (23.8% saved)

series5.0ms (0%)

Counts
4 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
1.0ms
z
@0
(+.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))))))
1.0ms
z
@-inf
(*.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 (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))))))

rewrite81.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1016×add-exp-log
1016×add-log-exp
1014×log1p-expm1-u
1014×expm1-log1p-u
1012×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044196
11057196
Stop Event
node limit
Counts
4 → 39
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))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.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 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))))))
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.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))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 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))))
(*.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))))))))
(*.f64 1 (+.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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.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 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(exp.f64 (log.f64 (+.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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))

simplify117.0ms (0.1%)

Algorithm
egg-herbie
Rules
1892×fma-neg
680×+-commutative
468×associate--r+
412×associate-*r/
374×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02534105
17183965
229903615
371733615
Stop Event
node limit
Counts
75 → 118
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))))
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 196563279258445065194677/324000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 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 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.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 (*.f64 2748699024162993/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 4919378858736341/200000000000000 (/.f64 1 z))))
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(+.f64 (*.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)))
(+.f64 (*.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (*.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -121443148578839881/200000000000000 z)
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 121443148578839881/200000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (*.f64 443431544818219937/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 66801875443113257/40000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 121443148578839881/200000000000000 (/.f64 1 z)) (*.f64 177150158974872037/40000000000000 (/.f64 1 (pow.f64 z 3)))))))
(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))))))
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.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))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (sqrt.f64 (*.f64 (PI.f64) 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))))
(*.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))))))))
(*.f64 1 (+.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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.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 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(exp.f64 (log.f64 (+.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 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))))
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(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))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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))))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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 9999999999998099/10000000000000000 (+.f64 (/.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 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (+.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (-.f64 (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3)) (fma.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -7713234287776531/10000000000000 (-.f64 3 z)))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 3 z)))))
(/.f64 (-.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 59493983178131529437839794393961/100000000000000000000000000 (-.f64 3 z)) (-.f64 3 z)) (*.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1)
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.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 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))

localize687.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
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))))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 420 to 323 computations (23.1% saved)

series5.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
1.0ms
z
@0
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
1.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
0.0ms
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 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))

rewrite83.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
894×add-sqr-sqrt
848×add-exp-log
848×add-log-exp
846×add-cbrt-cube
846×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037145
1885145
Stop Event
node limit
Counts
3 → 29
Calls
Call 1
Inputs
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
(+.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))))
Outputs
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (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 (+.f64 (*.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 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (-.f64 (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(/.f64 (-.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (-.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)
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(cbrt.f64 (*.f64 (*.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 (/.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)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(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)))))
(*.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 (*.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)))))) (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))))))) (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 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (*.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 (+.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 (/.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 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.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 (+.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 (/.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)
(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)))))))
(cbrt.f64 (*.f64 (*.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 -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 (/.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)))))))
(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)))))))

simplify144.0ms (0.2%)

Algorithm
egg-herbie
Rules
1290×fma-neg
780×associate-+r+
764×associate-+l+
754×*-commutative
460×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02143389
16023281
223493007
370903005
Stop Event
node limit
Counts
65 → 111
Calls
Call 1
Inputs
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 446800080651085577/900000000000000000 z) (*.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3)))))
(/.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 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.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))))))
(/.f64 -154609652292764811/12500000000000000 z)
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(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
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(+.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)))
-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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(/.f64 (-.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (-.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)
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(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)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(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)))))
(*.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 (*.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)))))) (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))))))) (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 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (*.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 (+.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 (/.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 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.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 (+.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 (/.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)
(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)))))))
(cbrt.f64 (*.f64 (*.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 -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 (/.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)))))))
(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)))))))
Outputs
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(fma.f64 446800080651085577/900000000000000000 z 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 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (fma.f64 446800080651085577/900000000000000000 z (*.f64 536852952257631293/5400000000000000000 (*.f64 z z))))
(+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 z 536852952257631293/5400000000000000000))))
(+.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 3224581990927430761/162000000000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 446800080651085577/900000000000000000 z 371756020978964147/150000000000000000) (*.f64 (*.f64 z z) (+.f64 536852952257631293/5400000000000000000 (*.f64 z 3224581990927430761/162000000000000000000))))
(/.f64 -154609652292764811/12500000000000000 z)
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(/.f64 -154609652292764811/12500000000000000 z)
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(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.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 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (*.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 (+.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 (/.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 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (pow.f64 (+.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))))) 3)) (fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (*.f64 (+.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 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 -883075145810703/5000000000000 (-.f64 4 z))))))
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.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)) (fma.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 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z))))
(/.f64 (+.f64 (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)) (pow.f64 (+.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))))) 3)) (fma.f64 (+.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z)))))) (/.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z))))
(/.f64 (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.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 (+.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 (/.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 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.f64 (+.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 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 -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 (/.f64 779821713148594364211109354209/25000000000000000000000000 (-.f64 4 z)) (-.f64 4 z)) (*.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 (+.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 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.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 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 1)
(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)
(+.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(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)))))))
(+.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(cbrt.f64 (*.f64 (*.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 -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 (/.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.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)))))))
(+.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.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)))))))
(+.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(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)))))))
(+.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (+.f64 (/.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 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))

localize739.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.4%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
97.3%
(*.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 665 to 558 computations (16.1% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
1.0ms
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)))
0.0ms
z
@-inf
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
0.0ms
z
@0
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
0.0ms
z
@-inf
(*.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))))

rewrite80.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
724×add-sqr-sqrt
692×add-exp-log
692×add-log-exp
690×log1p-expm1-u
690×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029137
1713133
Stop Event
node limit
Counts
3 → 103
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 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (-.f64 1 z) 13/2))) (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 (+.f64 (-.f64 1 z) 13/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3) (pow.f64 (exp.f64 (+.f64 (-.f64 1 z) 13/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (-.f64 1 z) 13/2)) 3) (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))
(exp.f64 (+.f64 (+.f64 (-.f64 1 z) 13/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (+.f64 (-.f64 1 z) 13/2)))))
(exp.f64 (*.f64 (+.f64 (+.f64 (-.f64 1 z) 13/2) (*.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 (+.f64 (-.f64 1 z) 13/2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1)
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 2) (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 (fma.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 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 1 (-.f64 1 z)) 3))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(/.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) 1)) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000)))
(/.f64 (+.f64 (+.f64 1 (-.f64 1 z)) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) -3147848041806007/2500000000000)) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) (+.f64 1 (-.f64 1 z))))
(/.f64 (+.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) 3147848041806007/2500000000000)) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) (neg.f64 (+.f64 1 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) 1)) (*.f64 (-.f64 1 z) (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000)))
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (neg.f64 (+.f64 1 (-.f64 1 z)))) (*.f64 (-.f64 1 z) 3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (neg.f64 (+.f64 1 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 -6765203681218851/10000000000000 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000)) (*.f64 (neg.f64 (-.f64 1 z)) 1)) (*.f64 (neg.f64 (-.f64 1 z)) (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000)))
(/.f64 (+.f64 (*.f64 -6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z))) (*.f64 (neg.f64 (-.f64 1 z)) -3147848041806007/2500000000000)) (*.f64 (neg.f64 (-.f64 1 z)) (+.f64 1 (-.f64 1 z))))
(/.f64 (+.f64 (*.f64 -6765203681218851/10000000000000 (neg.f64 (+.f64 1 (-.f64 1 z)))) (*.f64 (neg.f64 (-.f64 1 z)) 3147848041806007/2500000000000)) (*.f64 (neg.f64 (-.f64 1 z)) (neg.f64 (+.f64 1 (-.f64 1 z)))))
(/.f64 (+.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) 1)) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) (/.f64 (-.f64 1 z) 6765203681218851/10000000000000)))
(/.f64 (+.f64 (-.f64 1 z) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) 6765203681218851/10000000000000)) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) (-.f64 1 z)))
(/.f64 (+.f64 (neg.f64 (-.f64 1 z)) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) -6765203681218851/10000000000000)) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) (neg.f64 (-.f64 1 z))))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) 1)) (*.f64 (+.f64 1 (-.f64 1 z)) (/.f64 (-.f64 1 z) 6765203681218851/10000000000000)))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 1 (-.f64 1 z)) 6765203681218851/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 1 z)))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (neg.f64 (-.f64 1 z))) (*.f64 (+.f64 1 (-.f64 1 z)) -6765203681218851/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (neg.f64 (-.f64 1 z))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000)) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) 1)) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) (/.f64 (-.f64 1 z) 6765203681218851/10000000000000)))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) 6765203681218851/10000000000000)) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) (-.f64 1 z)))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (neg.f64 (-.f64 1 z))) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) -6765203681218851/10000000000000)) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) (neg.f64 (-.f64 1 z))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 3))
(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))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 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 1 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) 1)
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(/.f64 (fma.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) -3464277381643003/25000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 4) (+.f64 (-.f64 1 z) 5)))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) 3) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 5) 3))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 4) 2)) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 2) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (+.f64 (-.f64 1 z) 5))))))
(/.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 4) 2)) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) 1)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000)))
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) -3464277381643003/25000000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) (+.f64 (-.f64 1 z) 5)))
(/.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) 3464277381643003/25000000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) (neg.f64 (+.f64 (-.f64 1 z) 5))))
(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 4) 1)) (*.f64 (+.f64 (-.f64 1 z) 4) (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000)))
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(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 4)) (*.f64 (+.f64 (-.f64 1 z) 5) 2501468655737381/200000000000000)) (*.f64 (+.f64 (-.f64 1 z) 5) (+.f64 (-.f64 1 z) 4)))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (neg.f64 (+.f64 (-.f64 1 z) 4))) (*.f64 (+.f64 (-.f64 1 z) 5) -2501468655737381/200000000000000)) (*.f64 (+.f64 (-.f64 1 z) 5) (neg.f64 (+.f64 (-.f64 1 z) 4))))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) 1)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000)))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 4)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) (+.f64 (-.f64 1 z) 4)))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (-.f64 1 z) 4))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) -2501468655737381/200000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) (neg.f64 (+.f64 (-.f64 1 z) 4))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))

simplify145.0ms (0.2%)

Algorithm
egg-herbie
Rules
1032×unswap-sqr
682×div-sub
636×times-frac
538×fma-def
442×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04897203
113655881
243515843
Stop Event
node limit
Counts
139 → 222
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))))))
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 446800080651085577/900000000000000000 z) (*.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3)))))
(/.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 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.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))))))
(/.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 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.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))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 (-.f64 1 z) 13/2))) (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 (+.f64 (-.f64 1 z) 13/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3) (pow.f64 (exp.f64 (+.f64 (-.f64 1 z) 13/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (-.f64 1 z) 13/2)) 3) (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 13/2)))))
(exp.f64 (+.f64 (+.f64 (-.f64 1 z) 13/2) (*.f64 (+.f64 (-.f64 1 z) -1/2) (log.f64 (+.f64 (-.f64 1 z) 13/2)))))
(exp.f64 (*.f64 (+.f64 (+.f64 (-.f64 1 z) 13/2) (*.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 (+.f64 (-.f64 1 z) 13/2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))) 1)
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 2) (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 (fma.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 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (+.f64 1 (-.f64 1 z)) 3))) (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (-.f64 1 z) (+.f64 1 (-.f64 1 z)))))))
(/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))
(/.f64 (+.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) 1)) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000)))
(/.f64 (+.f64 (+.f64 1 (-.f64 1 z)) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) -3147848041806007/2500000000000)) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) (+.f64 1 (-.f64 1 z))))
(/.f64 (+.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) 3147848041806007/2500000000000)) (*.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) (neg.f64 (+.f64 1 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) 1)) (*.f64 (-.f64 1 z) (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000)))
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (neg.f64 (+.f64 1 (-.f64 1 z)))) (*.f64 (-.f64 1 z) 3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (neg.f64 (+.f64 1 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 -6765203681218851/10000000000000 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000)) (*.f64 (neg.f64 (-.f64 1 z)) 1)) (*.f64 (neg.f64 (-.f64 1 z)) (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000)))
(/.f64 (+.f64 (*.f64 -6765203681218851/10000000000000 (+.f64 1 (-.f64 1 z))) (*.f64 (neg.f64 (-.f64 1 z)) -3147848041806007/2500000000000)) (*.f64 (neg.f64 (-.f64 1 z)) (+.f64 1 (-.f64 1 z))))
(/.f64 (+.f64 (*.f64 -6765203681218851/10000000000000 (neg.f64 (+.f64 1 (-.f64 1 z)))) (*.f64 (neg.f64 (-.f64 1 z)) 3147848041806007/2500000000000)) (*.f64 (neg.f64 (-.f64 1 z)) (neg.f64 (+.f64 1 (-.f64 1 z)))))
(/.f64 (+.f64 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) 1)) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) (/.f64 (-.f64 1 z) 6765203681218851/10000000000000)))
(/.f64 (+.f64 (-.f64 1 z) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) 6765203681218851/10000000000000)) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) (-.f64 1 z)))
(/.f64 (+.f64 (neg.f64 (-.f64 1 z)) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) -6765203681218851/10000000000000)) (*.f64 (/.f64 (+.f64 1 (-.f64 1 z)) -3147848041806007/2500000000000) (neg.f64 (-.f64 1 z))))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) 1)) (*.f64 (+.f64 1 (-.f64 1 z)) (/.f64 (-.f64 1 z) 6765203681218851/10000000000000)))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (+.f64 1 (-.f64 1 z)) 6765203681218851/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (-.f64 1 z)))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (neg.f64 (-.f64 1 z))) (*.f64 (+.f64 1 (-.f64 1 z)) -6765203681218851/10000000000000)) (*.f64 (+.f64 1 (-.f64 1 z)) (neg.f64 (-.f64 1 z))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (/.f64 (-.f64 1 z) 6765203681218851/10000000000000)) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) 1)) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) (/.f64 (-.f64 1 z) 6765203681218851/10000000000000)))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (-.f64 1 z)) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) 6765203681218851/10000000000000)) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) (-.f64 1 z)))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (neg.f64 (-.f64 1 z))) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) -6765203681218851/10000000000000)) (*.f64 (neg.f64 (+.f64 1 (-.f64 1 z))) (neg.f64 (-.f64 1 z))))
(pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 3))
(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))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))))
(fma.f64 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 1 (-.f64 1 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 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 1 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) 1)
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(/.f64 (fma.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) -3464277381643003/25000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 4) (+.f64 (-.f64 1 z) 5)))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) 3) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 5) 3))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 4) 2)) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 2) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 4) (+.f64 (-.f64 1 z) 5))))))
(/.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 4) 2)) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) 1)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000)))
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 5) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) -3464277381643003/25000000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) (+.f64 (-.f64 1 z) 5)))
(/.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) 3464277381643003/25000000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) (neg.f64 (+.f64 (-.f64 1 z) 5))))
(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 4) 1)) (*.f64 (+.f64 (-.f64 1 z) 4) (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000)))
(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (neg.f64 (+.f64 (-.f64 1 z) 5))) (*.f64 (+.f64 (-.f64 1 z) 4) 3464277381643003/25000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 4) (neg.f64 (+.f64 (-.f64 1 z) 5))))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 4)) 1)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 4)) (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000)))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 5)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 4)) -3464277381643003/25000000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 4)) (+.f64 (-.f64 1 z) 5)))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (neg.f64 (+.f64 (-.f64 1 z) 5))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 4)) 3464277381643003/25000000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 4)) (neg.f64 (+.f64 (-.f64 1 z) 5))))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000) 1)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000) (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000)))
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 4) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000) 2501468655737381/200000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000) (+.f64 (-.f64 1 z) 4)))
(/.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 4)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000) -2501468655737381/200000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 5) -3464277381643003/25000000000000000) (neg.f64 (+.f64 (-.f64 1 z) 4))))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000)) (*.f64 (+.f64 (-.f64 1 z) 5) 1)) (*.f64 (+.f64 (-.f64 1 z) 5) (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000)))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 4)) (*.f64 (+.f64 (-.f64 1 z) 5) 2501468655737381/200000000000000)) (*.f64 (+.f64 (-.f64 1 z) 5) (+.f64 (-.f64 1 z) 4)))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (neg.f64 (+.f64 (-.f64 1 z) 4))) (*.f64 (+.f64 (-.f64 1 z) 5) -2501468655737381/200000000000000)) (*.f64 (+.f64 (-.f64 1 z) 5) (neg.f64 (+.f64 (-.f64 1 z) 4))))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) 1)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) (/.f64 (+.f64 (-.f64 1 z) 4) 2501468655737381/200000000000000)))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 4)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) (+.f64 (-.f64 1 z) 4)))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (neg.f64 (+.f64 (-.f64 1 z) 4))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) -2501468655737381/200000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 5)) (neg.f64 (+.f64 (-.f64 1 z) 4))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
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))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (*.f64 (fma.f64 -1 (log.f64 15/2) 14/15) (sqrt.f64 15/2)) (exp.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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(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 (*.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))))
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(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 3)
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3) 1/3)
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 2)
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 2))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 1))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))

localize1.6s (1.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.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)))
9.3%
(+.f64 (-.f64 1 z) -1)
Compiler

Compiled 662 to 560 computations (15.4% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
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 (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 (-.f64 1 z) -1)
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 (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)))

rewrite74.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
700×add-sqr-sqrt
662×add-exp-log
660×add-cbrt-cube
660×add-log-exp
660×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030119
1727115
Stop Event
node limit
Counts
3 → 84
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)))
Outputs
(-.f64 1 (-.f64 z -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 1)) (/.f64 1 (+.f64 (-.f64 1 z) 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 (+.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))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 z) 2) 1)) (neg.f64 (+.f64 (-.f64 1 z) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1)) (neg.f64 (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (-.f64 1 z) 3)) (+.f64 1 (-.f64 (pow.f64 (-.f64 1 z) 2) (*.f64 -1 (-.f64 1 z)))))
(/.f64 (-.f64 1 (pow.f64 (-.f64 z -1) 3)) (+.f64 1 (+.f64 (*.f64 (-.f64 z -1) (-.f64 z -1)) (-.f64 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)
(sqrt.f64 (pow.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 (/.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (/.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 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 (+.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))))
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (-.f64 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000))) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (-.f64 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000))))
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (+.f64 (-.f64 1 z) 1)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) -3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (-.f64 1 z) 1)))
(/.f64 (+.f64 (*.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))) (neg.f64 (+.f64 (-.f64 1 z) 1))) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 3147848041806007/2500000000000)) (*.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (neg.f64 (+.f64 (-.f64 1 z) 1))))
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (-.f64 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000))))
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (+.f64 (-.f64 1 z) 1)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) -3147848041806007/2500000000000)) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (-.f64 1 z) 1)))
(/.f64 (+.f64 (*.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (neg.f64 (+.f64 (-.f64 1 z) 1))) (*.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 (-.f64 1 z) 1))))
(/.f64 (+.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (*.f64 (-.f64 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (-.f64 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.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 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 -3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (*.f64 (+.f64 (-.f64 1 z) 1) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (+.f64 (-.f64 1 z) 1) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.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 (-.f64 1 z) 1) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (+.f64 (-.f64 1 z) 1) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 3147848041806007/2500000000000 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 1)) (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3))))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 1)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.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 (-.f64 1 z) 1)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 1)) (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (neg.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))) (neg.f64 (+.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 (neg.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))) (neg.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))
(/.f64 (+.f64 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) 3)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))) (*.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3)) (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 2) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(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)
(sqrt.f64 (pow.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 (+.f64 (+.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 (+.f64 (+.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 (+.f64 (+.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 (+.f64 (+.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 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -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 (+.f64 (+.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 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3) (pow.f64 (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)) 3) (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))))
(exp.f64 (+.f64 (+.f64 (+.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 (+.f64 (+.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 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))))

simplify156.0ms (0.2%)

Algorithm
egg-herbie
Rules
1442×associate-+r+
996×unswap-sqr
400×fma-def
360×distribute-rgt-in
346×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03646060
110535360
237955176
Stop Event
node limit
Counts
120 → 163
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))
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(pow.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))))) 2)
(sqrt.f64 (pow.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 (+.f64 (+.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 (+.f64 (+.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 (+.f64 (+.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 (+.f64 (+.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 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -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 (+.f64 (+.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 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3) (pow.f64 (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)) 3) (pow.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))))
(exp.f64 (+.f64 (+.f64 (+.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 (+.f64 (+.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 (+.f64 (+.f64 (-.f64 1 z) 6) -1/2)))))
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 (/.f64 3683516130645841/2000000000000 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 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 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 (/.f64 3683516130645841/2000000000000 z) z)))
(+.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 (/.f64 3683516130645841/2000000000000 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 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) 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 (/.f64 3683516130645841/2000000000000 z) z)))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 z (+.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))))
(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 (*.f64 z z) (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))))))
(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))))))
(+.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 (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 (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 (pow.f64 z 3) (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))))))))))
(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)) (fma.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))) (*.f64 (pow.f64 z 3) (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (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 (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)) 1/6))))))))
(+.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) 1/2)) (-.f64 -1/15 (log.f64 15/2))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
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eval1.7s (1.8%)

Compiler

Compiled 64308 to 51461 computations (20% saved)

prune266.0ms (0.3%)

Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New62828656
Fresh000
Picked101
Done213
Total63129660
Accurracy
100.0%
Counts
660 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
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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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
96.9%
(*.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 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (-.f64 2 z) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 2 z) (neg.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
96.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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))))))
96.3%
(*.f64 (/.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)) (exp.f64 (-.f64 z 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))))))))
13.2%
(*.f64 (/.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)) (exp.f64 (-.f64 15/2 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))))))))
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 6765203681218851/6295696083612014 (/.f64 z 12591392167224028/6765203681218851)) (+.f64 -1 z)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (+.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))))))))
95.1%
(*.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 371756020978964147/150000000000000000 (+.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 (*.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 (+.f64 (+.f64 -2 z) (-.f64 12591392167224028/6765203681218851 (/.f64 z 6765203681218851/12591392167224028))) (-.f64 1 z)) (-.f64 2 z)) -6765203681218851/10000000000000) (+.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))))))))
94.7%
(*.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))))))))
96.8%
(*.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))))))
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))))))
97.7%
(*.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)) (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))))))))
97.1%
(*.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 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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))))))
96.9%
(*.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)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 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))))))
96.2%
(*.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 371756020978964147/150000000000000000 (/.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 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))))))
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)))))
6.0%
(*.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)))))
3.5%
(*.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)))))
97.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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 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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.8%
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.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)) (exp.f64 (log.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 (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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 646366562873259793/3000000000000000)) (+.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)))))
97.1%
(*.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)))))
96.8%
(*.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)))))
95.9%
(*.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)))))
13.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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 4255 to 3513 computations (17.4% saved)

localize1.4s (1.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.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%
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
9.3%
(+.f64 (-.f64 1 z) -1)
Compiler

Compiled 646 to 545 computations (15.6% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
0.0ms
z
@inf
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
0.0ms
z
@-inf
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))

rewrite89.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1276×log-prod
748×prod-diff
652×fma-def
548×expm1-udef
544×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01445
132037
2419037
Stop Event
node limit
Counts
1 → 31
Calls
Call 1
Inputs
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
Outputs
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 0 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 1) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3)) (fma.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.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 2 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log.f64 (*.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))

simplify68.0ms (0.1%)

Algorithm
egg-herbie
Rules
978×associate-*r*
932×associate-*l*
704×fma-def
550×log-prod
434×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141715
12751645
29191587
347251531
Stop Event
node limit
Counts
43 → 65
Calls
Call 1
Inputs
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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(+.f64 0 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 1) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(*.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3)) (fma.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))))
(/.f64 (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.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 2 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
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Outputs
479507597606835099/10000000000000000
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(fma.f64 904338909853211/2500000000000 z 479507597606835099/10000000000000000)
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(/.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) 1/3)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(sqrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log.f64 (*.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 1 (expm1.f64 (+.f64 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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))

localize469.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))
99.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 267 to 187 computations (30% saved)

series15.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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)))))
4.0ms
z
@0
(*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))
2.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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)))))
2.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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)))))
1.0ms
z
@-inf
(*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))

rewrite239.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
974×add-sqr-sqrt
922×pow1
918×add-exp-log
916×add-log-exp
916×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041276
1963276
Stop Event
node limit
Counts
2 → 13
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (+.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
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (+.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)))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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)))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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)))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (+.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))))) (PI.f64)) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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)))) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (+.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 9999999999998099/10000000000000000 (+.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))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))))
(exp.f64 (log.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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))))))

simplify122.0ms (0.1%)

Algorithm
egg-herbie
Rules
1108×associate-+r+
1046×associate-+l+
610×associate-*r*
580×fma-def
530×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03127531
110337175
245316343
Stop Event
node limit
Counts
37 → 90
Calls
Call 1
Inputs
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(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))))) (sqrt.f64 (PI.f64))) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (sqrt.f64 2) (fma.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 686589210868425267349738751/705600000000000000000000000)))) (sqrt.f64 (PI.f64)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 2) (fma.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 686589210868425267349738751/705600000000000000000000000))))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 686589210868425267349738751/705600000000000000000000000 (*.f64 4103006302980662903082059/4200000000000000000000000 (-.f64 -1/15 (log.f64 15/2))))))))
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(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 9999999999998099/10000000000000000))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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 (+.f64 9999999999998099/10000000000000000 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 9999999999998099/10000000000000000))))

localize818.0ms (0.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.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)))))
98.5%
(*.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)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 325 to 231 computations (28.9% saved)

series4.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.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)))))
1.0ms
z
@-inf
(*.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)))))
1.0ms
z
@inf
(*.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)))))
0.0ms
z
@inf
(+.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)))))
0.0ms
z
@0
(+.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)))))

rewrite120.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
928×add-sqr-sqrt
884×add-exp-log
882×add-log-exp
882×log1p-expm1-u
882×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037206
1905206
Stop Event
node limit
Counts
2 → 17
Calls
Call 1
Inputs
(*.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 (+.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)))))
Outputs
(pow.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 (*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))) (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 (+.f64 (pow.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) 3) (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (-.f64 (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.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 (-.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.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))))))
(pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))) 1)
(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (+.f64 (*.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))))))))
(expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))))
(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))))
(log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))))

simplify87.0ms (0.1%)

Algorithm
egg-herbie
Rules
1492×associate-+l+
1380×associate-+r+
570×associate-*r/
406×fma-def
364×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02093997
16553731
228933239
Stop Event
node limit
Counts
41 → 84
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))))
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(cbrt.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (+.f64 (*.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))))))))
(expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))))
(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))))
(log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.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))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) z))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.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)))))) z))
(+.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)))))
(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 (fma.f64 (*.f64 z z) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))) (*.f64 (sqrt.f64 15/2) (fma.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 116398943231708128692755172596971/118540800000000000000000000000))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(fma.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) z (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 z z) (fma.f64 (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2))) (fma.f64 -1 (log.f64 15/2) -1/15) (fma.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000)))))))
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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 (pow.f64 z 3) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))))) (+.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 (+.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))))))))))) (+.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))))))
(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 (fma.f64 (pow.f64 z 3) (fma.f64 (sqrt.f64 15/2) (fma.f64 1106209385320415913103082059/25200000000000000000000000 (exp.f64 -15/2) (fma.f64 102757979785251069442117317613/470400000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 10854296669294855174846096482533191/19914854400000000000000000000000))) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 (sqrt.f64 15/2) (fma.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 116398943231708128692755172596971/118540800000000000000000000000))) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.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 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 (*.f64 z z) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))))) (*.f64 (sqrt.f64 15/2) (fma.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 116398943231708128692755172596971/118540800000000000000000000000))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(fma.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) z (fma.f64 (pow.f64 z 3) (+.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (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)))) (*.f64 (sqrt.f64 15/2) (*.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)))) (*.f64 (sqrt.f64 15/2) (+.f64 (fma.f64 (exp.f64 -15/2) 1106209385320415913103082059/25200000000000000000000000 (*.f64 (exp.f64 -15/2) 15204658501483244450747575240997159/19914854400000000000000000000000)) (*.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 z z) (fma.f64 (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2))) (fma.f64 -1 (log.f64 15/2) -1/15) (fma.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225)) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000))))))))
(fma.f64 (*.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)))))) z (fma.f64 (pow.f64 z 3) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (*.f64 (exp.f64 -15/2) 54901901787731453525296637639/78400000000000000000000000)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (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 (sqrt.f64 15/2) (+.f64 (*.f64 (exp.f64 -15/2) 16078864804839180175227374105927207/19914854400000000000000000000000) (*.f64 (-.f64 -1/15 (log.f64 15/2)) (*.f64 (exp.f64 -15/2) 132009770077349838058465866613579/118540800000000000000000000000))))) (fma.f64 (*.f64 z z) (fma.f64 (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2))) (-.f64 -1/15 (log.f64 15/2)) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (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 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 z 2))))
(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 z z) (exp.f64 (+.f64 z -15/2)))))
(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(+.f64 (*.f64 39321001939258358983/90000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (*.f64 2943194126470171931171/5400000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 z 2)))))
(fma.f64 39321001939258358983/90000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 z (exp.f64 (+.f64 z -15/2)))) (*.f64 2943194126470171931171/5400000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 z z) (exp.f64 (+.f64 z -15/2))))))
(fma.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 z (exp.f64 (+.f64 -15/2 z))) 39321001939258358983/90000000000000000)))
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(/.f64 (-.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (-.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 (*.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (-.f64 (*.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 7902188421553103227/30000000000000000 (-.f64 (*.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 (+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (/.f64 (-.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (-.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) 7902188421553103227/30000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) 1)
(pow.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))) 1)
(+.f64 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))

localize622.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 z 536852952257631293/5400000000000000000)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 406 to 309 computations (23.9% 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 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 z 536852952257631293/5400000000000000000)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
0.0ms
z
@inf
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
0.0ms
z
@-inf
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))

rewrite90.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
728×add-sqr-sqrt
698×add-exp-log
698×add-log-exp
698×log1p-expm1-u
698×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02992
171884
Stop Event
node limit
Counts
2 → 55
Calls
Call 1
Inputs
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 z 536852952257631293/5400000000000000000)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1)
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
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(pow.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 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 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 1 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2) (cbrt.f64 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (sqrt.f64 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(pow.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) -1)
(sqrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))
(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))))

simplify145.0ms (0.2%)

Algorithm
egg-herbie
Rules
1576×fma-def
794×associate-+l+
752×associate-+r+
716×unswap-sqr
364×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02526305
16936107
224356035
Stop Event
node limit
Counts
79 → 129
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 -169621072975882826958062084321/245862400000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 -7438431377385067353648047161/705600000000000000000000000 z))) 175036605963169168476917941/4200000000000000000000000)
(*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2))
(+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 4415375475680193711637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))))
(*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2))
(+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 4415375475680193711637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z))))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(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 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1)
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
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(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(fma.f64 1 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2) (cbrt.f64 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 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 (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (sqrt.f64 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 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 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(pow.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) -1)
(sqrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2))
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))
(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 (fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) (*.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 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z 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)))
(fma.f64 -169621072975882826958062084321/245862400000000000000000000000 (pow.f64 z 3) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z (fma.f64 -315341357520700009111955479981/118540800000000000000000000000 (*.f64 z z) -175036605963169168476917941/4200000000000000000000000)))
(*.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))
(*.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000))
(+.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 (fma.f64 z 536852952257631293/5400000000000000000 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 371756020978964147/150000000000000000 (+.f64 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000)) (/.f64 4415375475680193711637421/25000000000000000000000 z)))
(+.f64 (/.f64 4415375475680193711637421/25000000000000000000000 z) (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000))
(+.f64 371756020978964147/150000000000000000 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) (/.f64 4415375475680193711637421/25000000000000000000000 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))
(*.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000))
(+.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 (fma.f64 z 536852952257631293/5400000000000000000 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 371756020978964147/150000000000000000 (+.f64 (fma.f64 536852952257631293/5400000000000000000 (*.f64 z z) (*.f64 z 446800080651085577/900000000000000000)) (/.f64 4415375475680193711637421/25000000000000000000000 z)))
(+.f64 (/.f64 4415375475680193711637421/25000000000000000000000 z) (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000))
(+.f64 371756020978964147/150000000000000000 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) (/.f64 4415375475680193711637421/25000000000000000000000 z)))
7713234287776531/30000000000000
(+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)
(fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000)
(fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000)
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (*.f64 (*.f64 z z) 7713234287776531/270000000000000))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 7713234287776531/30000000000000))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 z (*.f64 z 7713234287776531/270000000000000) 7713234287776531/30000000000000))
(+.f64 (*.f64 7713234287776531/90000000000000 z) (+.f64 7713234287776531/30000000000000 (+.f64 (*.f64 7713234287776531/270000000000000 (pow.f64 z 2)) (*.f64 7713234287776531/810000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 7713234287776531/90000000000000 z 7713234287776531/30000000000000) (fma.f64 7713234287776531/270000000000000 (*.f64 z z) (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(+.f64 (fma.f64 z 7713234287776531/90000000000000 7713234287776531/30000000000000) (fma.f64 (*.f64 z z) 7713234287776531/270000000000000 (*.f64 (pow.f64 z 3) 7713234287776531/810000000000000)))
(fma.f64 z 7713234287776531/90000000000000 (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 (fma.f64 z (*.f64 z 7713234287776531/270000000000000) 7713234287776531/30000000000000)))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(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))))))
(neg.f64 (+.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(/.f64 -7713234287776531/10000000000000 z)
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z)))
(+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z))
(neg.f64 (+.f64 (*.f64 23139702863329593/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 69419108589988779/10000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 7713234287776531/10000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3)))
(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))))))
(neg.f64 (+.f64 (+.f64 (/.f64 208257325769966337/10000000000000 (pow.f64 z 4)) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3))) (+.f64 (/.f64 23139702863329593/10000000000000 (*.f64 z z)) (/.f64 7713234287776531/10000000000000 z))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (-.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (+.f64 (/.f64 -23139702863329593/10000000000000 (*.f64 z z)) (/.f64 -7713234287776531/10000000000000 z)) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))) 1)
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
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(+.f64 371756020978964147/150000000000000000 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) 2) (cbrt.f64 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(fma.f64 (sqrt.f64 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (sqrt.f64 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.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 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 371756020978964147/150000000000000000 (+.f64 (fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 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))
(sqrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2))
(/.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 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))
(/.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))

localize942.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.4%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
Compiler

Compiled 620 to 514 computations (17.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite92.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1370×log-prod
1128×fma-def
604×fma-neg
598×expm1-udef
592×log1p-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01443
133831
2483031
Stop Event
node limit
Counts
1 → 76
Calls
Call 1
Inputs
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
Outputs
(-.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 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.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)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2))
(*.f64 (pow.f64 (cbrt.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)))))
(*.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (/.f64 1 (*.f64 (-.f64 3 z) (-.f64 4 z))))
(*.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (/.f64 1 (fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))))
(*.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)) (/.f64 1 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(/.f64 1 (/.f64 (*.f64 (-.f64 3 z) (-.f64 4 z)) (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2))))
(/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (-.f64 4 z)))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))))
(/.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (fma.f64 7713234287776531/10000000000000 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (-.f64 3 z)) (*.f64 (-.f64 3 z) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (neg.f64 (-.f64 4 z)) (*.f64 (-.f64 3 z) 883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (neg.f64 (-.f64 4 z))))
(/.f64 (fma.f64 (-.f64 4 z) -5000000000000/883075145810703 (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) 1)) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (+.f64 (-.f64 4 z) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) -883075145810703/5000000000000)) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (-.f64 4 z)))
(/.f64 (fma.f64 -1 (-.f64 4 z) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) 883075145810703/5000000000000)) (*.f64 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (neg.f64 (-.f64 4 z))))
(/.f64 (fma.f64 -7713234287776531/10000000000000 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (*.f64 (neg.f64 (-.f64 3 z)) 1)) (*.f64 (neg.f64 (-.f64 3 z)) (*.f64 (-.f64 4 z) -5000000000000/883075145810703)))
(/.f64 (fma.f64 -7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (neg.f64 (-.f64 3 z)) -883075145810703/5000000000000)) (*.f64 (neg.f64 (-.f64 3 z)) (-.f64 4 z)))
(/.f64 (fma.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 3 z) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) 7713234287776531/10000000000000)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (-.f64 3 z)))
(/.f64 (fma.f64 (-.f64 3 z) 10000000000000/7713234287776531 (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) 1)) (*.f64 (*.f64 (-.f64 4 z) -5000000000000/883075145810703) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)))
(/.f64 (fma.f64 -1 (-.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 (fma.f64 -883075145810703/5000000000000 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (-.f64 4 z)) (*.f64 (-.f64 4 z) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)))
(/.f64 (fma.f64 -883075145810703/5000000000000 (neg.f64 (-.f64 3 z)) (*.f64 (-.f64 4 z) -7713234287776531/10000000000000)) (*.f64 (-.f64 4 z) (neg.f64 (-.f64 3 z))))
(/.f64 (fma.f64 883075145810703/5000000000000 (-.f64 3 z) (*.f64 (neg.f64 (-.f64 4 z)) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 3 z)))
(/.f64 (fma.f64 883075145810703/5000000000000 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (*.f64 (neg.f64 (-.f64 4 z)) 1)) (*.f64 (neg.f64 (-.f64 4 z)) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)))
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(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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simplify157.0ms (0.2%)

Algorithm
egg-herbie
Rules
1126×associate-/r*
1094×distribute-rgt-in
1038×distribute-lft-in
1016×fma-def
504×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02834258
17344056
222844024
Stop Event
node limit
Counts
88 → 127
Calls
Call 1
Inputs
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
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(/.f64 (fma.f64 883075145810703/5000000000000 (-.f64 3 z) (*.f64 (neg.f64 (-.f64 4 z)) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 3 z)))
(/.f64 (fma.f64 883075145810703/5000000000000 (*.f64 (-.f64 3 z) 10000000000000/7713234287776531) (*.f64 (neg.f64 (-.f64 4 z)) 1)) (*.f64 (neg.f64 (-.f64 4 z)) (*.f64 (-.f64 3 z) 10000000000000/7713234287776531)))
(/.f64 (fma.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 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)))) (neg.f64 (fma.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))))
(/.f64 (neg.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2))) (neg.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.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))))
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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)
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(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (exp.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
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Outputs
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)
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(fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))
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eval2.0s (2.2%)

Compiler

Compiled 78952 to 62140 computations (21.3% saved)

prune346.0ms (0.4%)

Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New87917896
Fresh91423
Picked101
Done325
Total89233925
Accurracy
100.0%
Counts
925 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
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97.7%
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96.9%
(*.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 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (-.f64 2 z) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 2 z) (neg.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
96.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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))))))
96.3%
(*.f64 (/.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)) (exp.f64 (-.f64 z 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))))))))
13.2%
(*.f64 (/.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)) (exp.f64 (-.f64 15/2 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 371756020978964147/150000000000000000 (+.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 6765203681218851/6295696083612014 (/.f64 z 12591392167224028/6765203681218851)) (+.f64 -1 z)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (+.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))))))))
95.1%
(*.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 371756020978964147/150000000000000000 (+.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 (*.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 (+.f64 (+.f64 -2 z) (-.f64 12591392167224028/6765203681218851 (/.f64 z 6765203681218851/12591392167224028))) (-.f64 1 z)) (-.f64 2 z)) -6765203681218851/10000000000000) (+.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))))))))
96.8%
(*.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))))))
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))))))
97.1%
(*.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 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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))))))
97.4%
(*.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 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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)) (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))))))))
96.9%
(*.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)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 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))))))
96.2%
(*.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 371756020978964147/150000000000000000 (/.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 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))))))
95.6%
(*.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 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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))))))
13.8%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
96.0%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
97.5%
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.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)) (exp.f64 (log.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 (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)))))
97.1%
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.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 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.8%
(*.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)))))
96.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 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)))))
97.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))
95.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
13.9%
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
13.9%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
Compiler

Compiled 3798 to 3154 computations (17% saved)

localize541.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
95.7%
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
Compiler

Compiled 567 to 468 computations (17.5% saved)

series2.0ms (0%)

Counts
2 → 20
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
0.0ms
z
@0
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
0.0ms
z
@-inf
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
0.0ms
z
@inf
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
0.0ms
z
@0
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))

rewrite115.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
984×expm1-udef
568×add-sqr-sqrt
542×add-exp-log
542×add-log-exp
540×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02378
155778
2778378
Stop Event
node limit
Counts
2 → 79
Calls
Call 1
Inputs
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1)
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 z)) (*.f64 (pow.f64 (-.f64 15/2 z) z) (exp.f64 15/2)))
(/.f64 (*.f64 (exp.f64 z) (sqrt.f64 (-.f64 15/2 z))) (*.f64 (exp.f64 15/2) (pow.f64 (-.f64 15/2 z) z)))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 z)) (exp.f64 15/2))
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (exp.f64 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 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)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (*.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)) (exp.f64 (+.f64 z -15/2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) 1)
(-.f64 (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (/.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(*.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000)) (/.f64 1 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5)))))
(*.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3))) (/.f64 1 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (-.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5))))))))
(*.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2))) (/.f64 1 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(/.f64 1 (/.f64 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5))) (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000))))
(/.f64 1 (/.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (-.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)))))
(/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000)) (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (-.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5)))))))
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3))) (+.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5)))))))
(/.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003)) (-.f64 1 (+.f64 z -4))) (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003)))
(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (neg.f64 (-.f64 1 (-.f64 z 5)))) (*.f64 (-.f64 1 (+.f64 z -4)) 3464277381643003/25000000000000000)) (*.f64 (-.f64 1 (+.f64 z -4)) (neg.f64 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) 1)) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003)))
(/.f64 (+.f64 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) -3464277381643003/25000000000000000)) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) 3464277381643003/25000000000000000)) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) (neg.f64 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003)) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) 1)) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003)))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5))) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) -3464277381643003/25000000000000000)) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (neg.f64 (-.f64 1 (-.f64 z 5)))) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) 3464277381643003/25000000000000000)) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) (neg.f64 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (-.f64 1 (+.f64 z -4)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) 2501468655737381/200000000000000)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) (-.f64 1 (+.f64 z -4))))
(/.f64 (+.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) 1)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) -2501468655737381/200000000000000)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) (neg.f64 (-.f64 1 (+.f64 z -4)))))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000))) (-.f64 1 (-.f64 z 5))) (*.f64 (-.f64 1 (-.f64 z 5)) (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000))))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (neg.f64 (-.f64 1 (+.f64 z -4)))) (*.f64 (-.f64 1 (-.f64 z 5)) -2501468655737381/200000000000000)) (*.f64 (-.f64 1 (-.f64 z 5)) (neg.f64 (-.f64 1 (+.f64 z -4)))))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -4))) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (-.f64 1 (+.f64 z -4))))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000))) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) 1)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000))))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (neg.f64 (-.f64 1 (+.f64 z -4)))) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) -2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (neg.f64 (-.f64 1 (+.f64 z -4)))))
(/.f64 (neg.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000))) (neg.f64 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5)))))
(/.f64 (neg.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3)))) (neg.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (-.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)))) (neg.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(/.f64 (-.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2))) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))))
(/.f64 (/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000)) (-.f64 1 (+.f64 z -4))) (-.f64 1 (-.f64 z 5)))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 1 (-.f64 z 5))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))))

simplify103.0ms (0.1%)

Algorithm
egg-herbie
Rules
1802×fma-def
934×associate-+l+
860×associate-+r+
680×unswap-sqr
506×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03556301
19145471
230055071
Stop Event
node limit
Counts
99 → 149
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 (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))))
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 446800080651085577/900000000000000000 z) (*.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3)))))
(/.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 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.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))))))
(/.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 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.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))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1)
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 z)) (*.f64 (pow.f64 (-.f64 15/2 z) z) (exp.f64 15/2)))
(/.f64 (*.f64 (exp.f64 z) (sqrt.f64 (-.f64 15/2 z))) (*.f64 (exp.f64 15/2) (pow.f64 (-.f64 15/2 z) z)))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 z)) (exp.f64 15/2))
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (exp.f64 z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 15/2))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 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)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (*.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)) (exp.f64 (+.f64 z -15/2)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) 1)
(-.f64 (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (/.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(*.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000)) (/.f64 1 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5)))))
(*.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3))) (/.f64 1 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (-.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5))))))))
(*.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2))) (/.f64 1 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(/.f64 1 (/.f64 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5))) (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000))))
(/.f64 1 (/.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (-.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5)))))) (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3)))))
(/.f64 1 (/.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)))))
(/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000)) (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3))) (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (-.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5)))))))
(/.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3))) (+.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5)))))))
(/.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003)) (-.f64 1 (+.f64 z -4))) (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003)))
(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (neg.f64 (-.f64 1 (-.f64 z 5)))) (*.f64 (-.f64 1 (+.f64 z -4)) 3464277381643003/25000000000000000)) (*.f64 (-.f64 1 (+.f64 z -4)) (neg.f64 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) 1)) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003)))
(/.f64 (+.f64 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) -3464277381643003/25000000000000000)) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) 3464277381643003/25000000000000000)) (*.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) (neg.f64 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003)) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) 1)) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003)))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5))) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) -3464277381643003/25000000000000000)) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (*.f64 -2501468655737381/200000000000000 (neg.f64 (-.f64 1 (-.f64 z 5)))) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) 3464277381643003/25000000000000000)) (*.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) (neg.f64 (-.f64 1 (-.f64 z 5)))))
(/.f64 (+.f64 (-.f64 1 (+.f64 z -4)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) 2501468655737381/200000000000000)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) (-.f64 1 (+.f64 z -4))))
(/.f64 (+.f64 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) 1)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000))))
(/.f64 (+.f64 (neg.f64 (-.f64 1 (+.f64 z -4))) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) -2501468655737381/200000000000000)) (*.f64 (-.f64 (/.f64 (-.f64 1 z) -3464277381643003/25000000000000000) 125000000000000000/3464277381643003) (neg.f64 (-.f64 1 (+.f64 z -4)))))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000))) (-.f64 1 (-.f64 z 5))) (*.f64 (-.f64 1 (-.f64 z 5)) (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000))))
(/.f64 (+.f64 (*.f64 -3464277381643003/25000000000000000 (neg.f64 (-.f64 1 (+.f64 z -4)))) (*.f64 (-.f64 1 (-.f64 z 5)) -2501468655737381/200000000000000)) (*.f64 (-.f64 1 (-.f64 z 5)) (neg.f64 (-.f64 1 (+.f64 z -4)))))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -4))) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) 2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (-.f64 1 (+.f64 z -4))))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000))) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) 1)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (-.f64 200000000000000/2501468655737381 (/.f64 (+.f64 z -4) 2501468655737381/200000000000000))))
(/.f64 (+.f64 (*.f64 3464277381643003/25000000000000000 (neg.f64 (-.f64 1 (+.f64 z -4)))) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) -2501468655737381/200000000000000)) (*.f64 (neg.f64 (-.f64 1 (-.f64 z 5))) (neg.f64 (-.f64 1 (+.f64 z -4)))))
(/.f64 (neg.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000))) (neg.f64 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5)))))
(/.f64 (neg.f64 (+.f64 (/.f64 15652553475366272331312146034805179211538277341/8000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 3)) (/.f64 -41575547296905884374468350829138450611345361027/15625000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 3)))) (neg.f64 (+.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (-.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (/.f64 -8665781284959936724524264195143/5000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (-.f64 z 5))))))))
(/.f64 (neg.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)))) (neg.f64 (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(/.f64 (-.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (pow.f64 (-.f64 1 (-.f64 z 5)) 2)) (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2))) (-.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))))
(/.f64 (/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000)) (-.f64 1 (+.f64 z -4))) (-.f64 1 (-.f64 z 5)))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 1 (-.f64 z 5))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))))
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)))))))
(fma.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 (*.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 (+.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 (*.f64 (exp.f64 -15/2) (*.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 (*.f64 1/6 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 3))) 3547/20250))) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2)))) 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 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.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 -15/2 z)))
(*.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 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.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 -15/2 z)))
(*.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 15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
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(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 5 (-.f64 1 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))

localize83.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
99.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
99.2%
(/.f64 (exp.f64 -15/2) z)
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 53 to 45 computations (15.1% saved)

series7.0ms (0%)

Counts
3 → 24
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
1.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
0.0ms
z
@0
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
0.0ms
z
@0
(/.f64 (exp.f64 -15/2) z)
0.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))

rewrite92.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1722×log-prod
776×pow-prod-up
668×pow-exp
618×expm1-udef
610×log1p-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01883
136783
2426383
Stop Event
node limit
Counts
3 → 87
Calls
Call 1
Inputs
(/.f64 (exp.f64 -15/2) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
Outputs
(+.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))) 1)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3))
(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) 4103006302980662903082059/4200000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))))
(exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(+.f64 0 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 1)
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 4103006302980662903082059/4200000000000000000000000) z)
(pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 2)
(sqrt.f64 (*.f64 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000)))
(exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))

simplify178.0ms (0.2%)

Algorithm
egg-herbie
Rules
1248×fma-def
1036×prod-exp
920×unswap-sqr
762×*-commutative
742×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02543387
15803271
219623137
372413137
Stop Event
node limit
Counts
111 → 113
Calls
Call 1
Inputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(+.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))) 1)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3))
(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) 4103006302980662903082059/4200000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))))
(exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(+.f64 0 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 1)
(/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 4103006302980662903082059/4200000000000000000000000) z)
(pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 2)
(sqrt.f64 (*.f64 (*.f64 15/2 (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000)))
(exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))
Outputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (sqrt.f64 2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
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(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2)))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2)))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2))
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000)))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2)))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2))
(exp.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000)) 1))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2)))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2))
(exp.f64 (*.f64 (*.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000)) 1) 1))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2)))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2)))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))) 1/3))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2)))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 2))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2)))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 15/2)))
(/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2)))
(*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2))

localize236.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(sin.f64 (*.f64 z (PI.f64)))
99.5%
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
99.4%
(/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))
97.3%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
Compiler

Compiled 112 to 76 computations (32.1% saved)

series10.0ms (0%)

Counts
4 → 32
Calls

12 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
2.0ms
z
@0
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
1.0ms
z
@-inf
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
1.0ms
z
@0
(/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))
0.0ms
z
@-inf
(/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))

rewrite111.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
812×prod-diff
806×expm1-udef
798×log1p-udef
464×add-sqr-sqrt
448×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021134
1460134
25897134
Stop Event
node limit
Counts
4 → 93
Calls
Call 1
Inputs
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(sin.f64 (*.f64 z (PI.f64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1)
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) z))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 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)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (*.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)) (exp.f64 (+.f64 z -15/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (/.f64 2 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (sqrt.f64 2) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))))
(sqrt.f64 (/.f64 2 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))))) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(/.f64 1 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (neg.f64 (sqrt.f64 2))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) (pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 3) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 z -15/2)))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 z -15/2)) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 z (PI.f64))))) 1)
(*.f64 (sin.f64 (*.f64 z (PI.f64))) 1)
(*.f64 1 (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(pow.f64 (sin.f64 (*.f64 z (PI.f64))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 z (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 z (PI.f64))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 z (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 z (PI.f64)))))

simplify96.0ms (0.1%)

Algorithm
egg-herbie
Rules
644×times-frac
578×associate-*r*
554×cube-prod
478×associate-*l*
426×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03476267
19426071
244806005
Stop Event
node limit
Counts
125 → 160
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))))
(/.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))) (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3))) (*.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3)))) (pow.f64 z 3))) (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3))) (*.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (*.f64 -1/5040 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 5))))) (pow.f64 z 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3))) (*.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3)))) (pow.f64 z 3))) (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))))))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64)))
(+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.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))))) (PI.f64)) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64))))
(+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.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))))) (PI.f64)) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.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)))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64)))))
(+.f64 (*.f64 (pow.f64 z 2) (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.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))))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.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)))) (PI.f64)))))) (+.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.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))))) (PI.f64)) (+.f64 (*.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 2) (+.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)))))) (PI.f64)) (*.f64 -1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (PI.f64)))))) z) (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.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))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(/.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))))
(*.f64 z (PI.f64))
(+.f64 (*.f64 z (PI.f64)) (*.f64 -1/6 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 z (PI.f64)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 z 5) (pow.f64 (PI.f64) 5))) (*.f64 -1/6 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 z 7) (pow.f64 (PI.f64) 7))) (+.f64 (*.f64 z (PI.f64)) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 z 5) (pow.f64 (PI.f64) 5))) (*.f64 -1/6 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1)
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) z))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) 3) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 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)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (*.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)) (exp.f64 (+.f64 z -15/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))) (cbrt.f64 (/.f64 2 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2))))
(*.f64 (cbrt.f64 (/.f64 2 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2))) (cbrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (sqrt.f64 2) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 (sin.f64 (*.f64 z (PI.f64))))))
(sqrt.f64 (/.f64 2 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))))) 1)
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (sqrt.f64 2)))
(/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(/.f64 1 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (neg.f64 (sqrt.f64 2))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) (pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 3) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 z -15/2)))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 z -15/2)) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 z (PI.f64))))) 1)
(*.f64 (sin.f64 (*.f64 z (PI.f64))) 1)
(*.f64 1 (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(pow.f64 (sin.f64 (*.f64 z (PI.f64))) 1)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 z (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 z (PI.f64))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 z (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 z (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 z (PI.f64)))))
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 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (fma.f64 -1 (log.f64 15/2) 14/15) (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))))
(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 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z (*.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))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (exp.f64 -15/2) (*.f64 (fma.f64 -1 (log.f64 15/2) 14/15) (sqrt.f64 15/2))) 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 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 (pow.f64 z 3) (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 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (*.f64 1/6 (exp.f64 -15/2)) (sqrt.f64 15/2)))))))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (neg.f64 (log.f64 15/2)) 14/15) (sqrt.f64 15/2))) z (fma.f64 (pow.f64 z 3) (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (*.f64 (*.f64 (exp.f64 -15/2) (*.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))))) (*.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)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (exp.f64 -15/2) (*.f64 (fma.f64 -1 (log.f64 15/2) 14/15) (sqrt.f64 15/2))) z (fma.f64 (pow.f64 z 3) (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (*.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) (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 (*.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 (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 -15/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(*.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 -15/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(*.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 -15/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(*.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 -15/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))
(/.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))
(/.f64 (/.f64 (sqrt.f64 2) z) (PI.f64))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))) (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))))
(fma.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))))
(fma.f64 1/6 (*.f64 z (*.f64 (PI.f64) (sqrt.f64 2))) (/.f64 (/.f64 (sqrt.f64 2) z) (PI.f64)))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3))) (*.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3)))) (pow.f64 z 3))) (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))))
(fma.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 z (PI.f64))) (fma.f64 -1 (*.f64 (pow.f64 z 3) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3)) -7/360)) (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))))
(fma.f64 1/6 (*.f64 z (*.f64 (PI.f64) (sqrt.f64 2))) (-.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (PI.f64)) (*.f64 (pow.f64 z 3) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (sqrt.f64 2) -7/360)))))
(fma.f64 1/6 (*.f64 z (*.f64 (PI.f64) (sqrt.f64 2))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3)) 7/360) (pow.f64 z 3) (/.f64 (/.f64 (sqrt.f64 2) z) (PI.f64))))
(+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 z (PI.f64)))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/720 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 5))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3))) (*.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (*.f64 -1/5040 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 5))))) (pow.f64 z 5))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/36 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3))) (*.f64 1/120 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3)))) (pow.f64 z 3))) (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))))))
(fma.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 z (PI.f64))) (fma.f64 -1 (*.f64 (fma.f64 1/720 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 5)) (fma.f64 1/6 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3)) -7/360) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 5)) -1/5040))) (pow.f64 z 5)) (fma.f64 -1 (*.f64 (pow.f64 z 3) (*.f64 (*.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 3)) -7/360)) (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))))))
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(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (neg.f64 (sqrt.f64 2))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (neg.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) 1) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 1)
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))) 3)
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 3) 1/3)
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))) 2)
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 2))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(log.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64)))) 3))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) (pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 3)))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) 3) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(exp.f64 (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 z -15/2)))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))))) (+.f64 z -15/2)) 1))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (sqrt.f64 2) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (exp.f64 (+.f64 -15/2 z)))))
(/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (/.f64 (sqrt.f64 2) (exp.f64 (-.f64 15/2 z)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 z (PI.f64))))) 1)
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (sin.f64 (*.f64 z (PI.f64))) 1)
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 1 (sin.f64 (*.f64 z (PI.f64))))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(sin.f64 (*.f64 z (PI.f64)))
(pow.f64 (sin.f64 (*.f64 z (PI.f64))) 1)
(sin.f64 (*.f64 z (PI.f64)))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 3)
(sin.f64 (*.f64 z (PI.f64)))
(pow.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3) 1/3)
(sin.f64 (*.f64 z (PI.f64)))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)
(sin.f64 (*.f64 z (PI.f64)))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 2))
(sin.f64 (*.f64 z (PI.f64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 z (PI.f64)))))
(sin.f64 (*.f64 z (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 z (PI.f64))))))
(sin.f64 (*.f64 z (PI.f64)))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3))
(sin.f64 (*.f64 z (PI.f64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 z (PI.f64)))))
(sin.f64 (*.f64 z (PI.f64)))
(exp.f64 (log.f64 (sin.f64 (*.f64 z (PI.f64)))))
(sin.f64 (*.f64 z (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 z (PI.f64)))) 1))
(sin.f64 (*.f64 z (PI.f64)))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 z (PI.f64)))))
(sin.f64 (*.f64 z (PI.f64)))

localize1.0s (1.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))
98.5%
(*.f64 (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.3%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 377 to 275 computations (27.1% saved)

series2.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.f64 (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))
0.0ms
z
@-inf
(*.f64 (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))
0.0ms
z
@inf
(*.f64 (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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)))))
0.0ms
z
@-inf
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))
0.0ms
z
@inf
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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))))))

rewrite89.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
940×add-sqr-sqrt
894×add-exp-log
894×add-log-exp
892×log1p-expm1-u
892×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039198
1944198
Stop Event
node limit
Counts
2 → 18
Calls
Call 1
Inputs
(*.f64 (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 7902188421553103227/30000000000000000 (+.f64 (*.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))))))
Outputs
(pow.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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 (+.f64 7902188421553103227/30000000000000000 (fma.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 (+.f64 7902188421553103227/30000000000000000 (fma.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)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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 1 (+.f64 7902188421553103227/30000000000000000 (fma.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 (+.f64 7902188421553103227/30000000000000000 (fma.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)))))) 1)
(*.f64 (*.f64 (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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)))))))) (cbrt.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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 (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))))) (sqrt.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (fma.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))))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (-.f64 (*.f64 (fma.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))))) (fma.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 7902188421553103227/30000000000000000 (fma.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 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (fma.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))))) (fma.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 7902188421553103227/30000000000000000 (fma.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)))))))
(pow.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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)))))) 1)
(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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))))))))
(expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))))))
(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))))))
(log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))))))

simplify99.0ms (0.1%)

Algorithm
egg-herbie
Rules
1724×distribute-lft-in
1722×distribute-rgt-in
1028×associate-+l+
1024×associate-+r+
362×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02094014
16143784
224123438
Stop Event
node limit
Counts
42 → 80
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))))
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(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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))))))))
(expm1.f64 (log1p.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))))))
(exp.f64 (log.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))))))
(log1p.f64 (expm1.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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))))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000))
(*.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))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) z))
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(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (pow.f64 z 2))))
(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 z z) (exp.f64 (+.f64 z -15/2)))))
(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (*.f64 z z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 z z) (exp.f64 (+.f64 -15/2 z)))))
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(+.f64 7902188421553103227/30000000000000000 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(log.f64 (exp.f64 (+.f64 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (+.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (+.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (+.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (+.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.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 7902188421553103227/30000000000000000 (fma.f64 z (fma.f64 z 2943194126470171931171/5400000000000000000 39321001939258358983/90000000000000000) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))

localize561.0ms (0.6%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
Compiler

Compiled 540 to 458 computations (15.2% saved)

series0.0ms (0%)

Counts
1 → 0

rewrite54.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1260×pow1
1166×add-exp-log
1166×log1p-expm1-u
1166×expm1-log1p-u
1138×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
115615
2163415
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
Outputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 1)
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 2)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))

simplify62.0ms (0.1%)

Algorithm
egg-herbie
Rules
1868×fma-def
776×associate-+r+
726×distribute-neg-in
600×associate-+l+
570×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035289
176219
2216165
3954165
41773165
53273165
65874165
Stop Event
node limit
Counts
11 → 15
Calls
Call 1
Inputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 1)
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 2)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
Outputs
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) -1)
(+.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 0)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) -1)
(+.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 0)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) -1)
(+.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 0)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3) 1/3)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) -1)
(+.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 0)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) 2)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) -1)
(+.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 0)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) -1)
(+.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 0)
(log.f64 (pow.f64 (exp.f64 (exp.f64 -15/2)) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 15/2) (log.f64 (exp.f64 (exp.f64 -15/2))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 3))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) -1)
(+.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 0)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) -1)
(+.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 0)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 15/2) (log.f64 (exp.f64 (exp.f64 -15/2))))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 15/2 (exp.f64 -15)))) -1)
(+.f64 (sqrt.f64 (*.f64 15/2 (exp.f64 -15))) 0)
(sqrt.f64 (*.f64 15/2 (exp.f64 -15)))

eval1.1s (1.2%)

Compiler

Compiled 60485 to 48666 computations (19.5% saved)

prune267.0ms (0.3%)

Pruning

55 alts after pruning (53 fresh and 2 done)

PrunedKeptTotal
New82932861
Fresh52126
Picked101
Done426
Total83955894
Accurracy
100.0%
Counts
894 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3)
13.9%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
13.8%
(*.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)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
13.9%
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
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 z 15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000) (+.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 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))))))
96.9%
(*.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 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (-.f64 2 z) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 2 z) (neg.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
95.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (-.f64 2 z) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 2 z) (neg.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
96.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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 (-.f64 6765203681218851/6295696083612014 (/.f64 z 12591392167224028/6765203681218851)) (+.f64 -1 z)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (+.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))))))))
95.1%
(*.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 371756020978964147/150000000000000000 (+.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 (*.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 (+.f64 (+.f64 -2 z) (-.f64 12591392167224028/6765203681218851 (/.f64 z 6765203681218851/12591392167224028))) (-.f64 1 z)) (-.f64 2 z)) -6765203681218851/10000000000000) (+.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))))))))
96.8%
(*.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))))))
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))))))
97.1%
(*.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 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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))))))
97.4%
(*.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 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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)) (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))))))))
96.9%
(*.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)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 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))))))
96.2%
(*.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 371756020978964147/150000000000000000 (/.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 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))))))
95.6%
(*.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 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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))))))
13.8%
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (PI.f64)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
13.8%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
15.4%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
13.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
13.9%
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
96.0%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
13.9%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
13.9%
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
97.5%
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.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)) (exp.f64 (log.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 (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)))))
97.1%
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.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 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.8%
(*.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)))))
96.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 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)))))
97.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) (sqrt.f64 15/2))))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
5.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
7.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
6.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
7.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
6.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))))
13.9%
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
13.9%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
5.1%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
5.1%
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
7.0%
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
6.9%
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))))
Compiler

Compiled 4746 to 4006 computations (15.6% saved)

localize431.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.4%
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
97.3%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
Compiler

Compiled 549 to 449 computations (18.2% saved)

series0.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite82.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1186×log-prod
866×fma-def
548×pow-exp
524×log-div
506×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
128431
2403731
Stop Event
node limit
Counts
1 → 83
Calls
Call 1
Inputs
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)
(-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
(*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(*.f64 (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (/.f64 1 (*.f64 (-.f64 2 z) (-.f64 1 z))))
(*.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (/.f64 1 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)))))
(*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (/.f64 1 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 1 (/.f64 (*.f64 (-.f64 2 z) (-.f64 1 z)) (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))
(/.f64 1 (/.f64 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3))))
(/.f64 1 (/.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)))))
(/.f64 (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) (-.f64 1 z)))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 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 2 z) (-.f64 1 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 (fma.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 (fma.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 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))
(/.f64 (fma.f64 (-.f64 1 z) 10000000000000/6765203681218851 (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))
(/.f64 (fma.f64 -1 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) -6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (neg.f64 (-.f64 1 z))))
(/.f64 (fma.f64 3147848041806007/2500000000000 (-.f64 1 z) (*.f64 (neg.f64 (-.f64 2 z)) 6765203681218851/10000000000000)) (*.f64 (neg.f64 (-.f64 2 z)) (-.f64 1 z)))
(/.f64 (fma.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 (fma.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 (fma.f64 6765203681218851/10000000000000 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)) (*.f64 (-.f64 1 z) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))
(/.f64 (fma.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 2 z) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) -3147848041806007/2500000000000)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 2 z)))
(/.f64 (fma.f64 (-.f64 2 z) -2500000000000/3147848041806007 (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) 1)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))
(/.f64 (fma.f64 -1 (-.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 (fma.f64 -6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (neg.f64 (-.f64 1 z)) -3147848041806007/2500000000000)) (*.f64 (neg.f64 (-.f64 1 z)) (-.f64 2 z)))
(/.f64 (fma.f64 -6765203681218851/10000000000000 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (*.f64 (neg.f64 (-.f64 1 z)) 1)) (*.f64 (neg.f64 (-.f64 1 z)) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))
(/.f64 (fma.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 (neg.f64 (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))) (neg.f64 (*.f64 (-.f64 2 z) (-.f64 1 z))))
(/.f64 (neg.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3))) (neg.f64 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)))))
(/.f64 (neg.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)))) (neg.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 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 (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (-.f64 2 z)) (-.f64 1 z))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2)
(pow.f64 (/.f64 (*.f64 (-.f64 2 z) (-.f64 1 z)) (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))) -1)
(pow.f64 (/.f64 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 1 (expm1.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 1 (expm1.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(log.f64 (*.f64 (exp.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 1 (expm1.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 1 (expm1.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.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 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.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)))
(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 -6765203681218851/10000000000000 (/.f64 1 (neg.f64 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 3147848041806007/2500000000000 (/.f64 1 (neg.f64 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (/.f64 1 (-.f64 1 z)) 6765203681218851/10000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (/.f64 1 (-.f64 2 z)) -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 (*.f64 z z))) (+.f64 z 1) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 8 (pow.f64 z 3))) (fma.f64 z (+.f64 2 z) 4) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 4 (*.f64 z z))) (+.f64 2 z) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))

simplify110.0ms (0.1%)

Algorithm
egg-herbie
Rules
920×fma-def
898×distribute-rgt-in
892×distribute-lft-in
802×associate-/r*
696×fma-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02844505
17034355
220314355
376054355
Stop Event
node limit
Counts
95 → 128
Calls
Call 1
Inputs
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)))))
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(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
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(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
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(/.f64 (fma.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 (fma.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 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)))
(/.f64 (fma.f64 (-.f64 1 z) 10000000000000/6765203681218851 (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 1)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))))
(/.f64 (fma.f64 -1 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) -6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (neg.f64 (-.f64 1 z))))
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(/.f64 (fma.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 (fma.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 (fma.f64 6765203681218851/10000000000000 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z)) (*.f64 (-.f64 1 z) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (neg.f64 (-.f64 2 z)) (*.f64 (-.f64 1 z) 3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (neg.f64 (-.f64 2 z))))
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(/.f64 (fma.f64 (-.f64 2 z) -2500000000000/3147848041806007 (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) 1)) (*.f64 (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)) (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000))))
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(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 2))
(log1p.f64 (expm1.f64 (+.f64 (/.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 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 6765203681218851/10000000000000 (/.f64 1 (-.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 1 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (cbrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.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)))
(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 -6765203681218851/10000000000000 (/.f64 1 (neg.f64 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 3147848041806007/2500000000000 (/.f64 1 (neg.f64 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (/.f64 1 (-.f64 1 z)) 6765203681218851/10000000000000 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (/.f64 1 (-.f64 2 z)) -3147848041806007/2500000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 (pow.f64 z 3))) (+.f64 1 (fma.f64 z z z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 (*.f64 z z))) (+.f64 z 1) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 8 (pow.f64 z 3))) (fma.f64 z (+.f64 2 z) 4) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 4 (*.f64 z z))) (+.f64 2 z) (/.f64 6765203681218851/10000000000000 (-.f64 1 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 5826188486005177/10000000000000 z)
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(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 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 (/.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 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
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(*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
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(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(*.f64 (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (/.f64 1 (*.f64 (-.f64 2 z) (-.f64 1 z))))
(/.f64 (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) (-.f64 1 z)))
(/.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z -1) (+.f64 -6765203681218851/5000000000000 (*.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 2 z) (+.f64 z -1)))
(*.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (/.f64 1 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)))))
(/.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3))) (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))))
(*.f64 (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))) (/.f64 1 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 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 (/.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 1 (/.f64 (*.f64 (-.f64 2 z) (-.f64 1 z)) (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z)))))
(*.f64 (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (/.f64 1 (*.f64 (-.f64 2 z) (-.f64 1 z))))
(/.f64 (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) (-.f64 1 z)))
(/.f64 (fma.f64 -3147848041806007/2500000000000 (+.f64 z -1) (+.f64 -6765203681218851/5000000000000 (*.f64 6765203681218851/10000000000000 z))) (*.f64 (-.f64 2 z) (+.f64 z -1)))
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(*.f64 (+.f64 (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (/.f64 1 (fma.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)))))
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(/.f64 1 (/.f64 (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)))))
(/.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 (/.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 (fma.f64 (-.f64 2 z) 6765203681218851/10000000000000 (*.f64 -3147848041806007/2500000000000 (-.f64 1 z))) (*.f64 (-.f64 2 z) (-.f64 1 z)))
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(fma.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 4 (*.f64 z z))) (+.f64 z 2) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(fma.f64 (+.f64 z 2) (/.f64 -3147848041806007/2500000000000 (fma.f64 z (neg.f64 z) 4)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))

localize85.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
99.8%
(*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
98.4%
(*.f64 (exp.f64 -15) (pow.f64 z -2))
53.5%
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
Compiler

Compiled 62 to 52 computations (16.1% saved)

series4.0ms (0%)

Counts
4 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
z
@0
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
1.0ms
z
@inf
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
1.0ms
z
@0
(*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
0.0ms
z
@0
(*.f64 (exp.f64 -15) (pow.f64 z -2))
0.0ms
z
@inf
(*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))

rewrite104.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1590×log-prod
998×pow-prod-down
754×pow-prod-up
648×pow-exp
580×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017112
1347106
23895106
Stop Event
node limit
Counts
4 → 99
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (exp.f64 -15) (pow.f64 z -2))
(*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
Outputs
(+.f64 0 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) 1)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)) 1)
(*.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 1/4) (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 1/4))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)) 1/2))
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/2) (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(exp.f64 (*.f64 (+.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (PI.f64))) (log.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (PI.f64))) (log.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (+.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (PI.f64))) (log.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (+.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (PI.f64))) (log.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (+.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (PI.f64))) (log.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(+.f64 0 (*.f64 (exp.f64 -15) (pow.f64 z -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)))) 1)
(pow.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 1)
(pow.f64 (*.f64 (cbrt.f64 (pow.f64 z -2)) (exp.f64 -5)) 3)
(pow.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1/2)
(pow.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)) 1/3)
(pow.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(cbrt.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2))))
(exp.f64 (fma.f64 -2 (log.f64 z) -15))
(exp.f64 (*.f64 (fma.f64 -2 (log.f64 z) -15) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 -2 (log.f64 z) -15) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 -2 (log.f64 z) -15)) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 -2 (log.f64 z) -15)) 1/3))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 z)) -15/2) 2))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2))))
(+.f64 0 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64)))))
(exp.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(+.f64 0 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
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(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))

simplify138.0ms (0.2%)

Algorithm
egg-herbie
Rules
1300×fma-def
1144×distribute-lft-in
1126×distribute-rgt-in
844×unswap-sqr
694×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02814739
16204577
219954387
378104387
Stop Event
node limit
Counts
147 → 154
Calls
Call 1
Inputs
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(pow.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 1/2)
(pow.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)) 1/3)
(pow.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)))))
(cbrt.f64 (*.f64 (pow.f64 z -6) (exp.f64 -45)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2))))
(exp.f64 (fma.f64 -2 (log.f64 z) -15))
(exp.f64 (*.f64 (fma.f64 -2 (log.f64 z) -15) 1))
(exp.f64 (*.f64 (*.f64 (fma.f64 -2 (log.f64 z) -15) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 -2 (log.f64 z) -15)) 3))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 -2 (log.f64 z) -15)) 1/3))
(exp.f64 (*.f64 (+.f64 (neg.f64 (log.f64 z)) -15/2) 2))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2))))
(+.f64 0 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
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(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64)))))
(exp.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (*.f64 1/3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64))))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64))))) 1/3))
(exp.f64 (*.f64 (*.f64 1/2 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(+.f64 0 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 1)
(pow.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3)
(pow.f64 (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/2)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3) 1/3)
(pow.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 2)
(sqrt.f64 (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(exp.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1))
(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) 1))
(exp.f64 (*.f64 (+.f64 -5 (log.f64 (cbrt.f64 (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 3))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 1/3))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 2))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
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(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
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(*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (*.f64 (exp.f64 -15) (PI.f64)) (pow.f64 z 2)))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 1)
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(pow.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3)
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(pow.f64 (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) 1/2)
(sqrt.f64 (*.f64 (pow.f64 z -4) (*.f64 (exp.f64 -30) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -30) (*.f64 (pow.f64 z -4) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3) 1/3)
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(pow.f64 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 2)
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(sqrt.f64 (*.f64 (*.f64 (pow.f64 z -4) (exp.f64 -30)) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
(sqrt.f64 (*.f64 (pow.f64 z -4) (*.f64 (exp.f64 -30) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (exp.f64 -30) (*.f64 (pow.f64 z -4) 283405801634918282568463282599255488929873480488145143459453382813473782701603793631952285788429361/5531904000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 z -2)) (exp.f64 -15)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3))
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(exp.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(exp.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1))
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(exp.f64 (*.f64 (*.f64 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) 1))
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(exp.f64 (*.f64 (+.f64 -5 (log.f64 (cbrt.f64 (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 3))
(pow.f64 (exp.f64 (+.f64 -5 (log.f64 (cbrt.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (pow.f64 z -2)))))) 3)
(pow.f64 (*.f64 (exp.f64 -5) (cbrt.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (pow.f64 z -2)))) 3)
(exp.f64 (*.f64 (*.f64 3 (+.f64 (fma.f64 -2 (log.f64 z) -15) (log.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 1/3))
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 2))
(pow.f64 (exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (pow.f64 z -2)))))) 2)
(pow.f64 (exp.f64 2) (+.f64 -15/2 (log.f64 (sqrt.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (pow.f64 z -2))))))
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (pow.f64 z -2)))) 2)
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15) (*.f64 (pow.f64 z -2) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)
(/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))

localize102.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f64 (exp.f64 -15/2) z)
99.2%
(sqrt.f64 (*.f64 (PI.f64) 2))
95.5%
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
52.7%
(PI.f64)
Compiler

Compiled 81 to 70 computations (13.6% saved)

series0.0ms (0%)

Counts
2 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
0.0ms
z
@-inf
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
0.0ms
z
@inf
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))

rewrite89.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1776×log-prod
896×prod-diff
646×expm1-udef
638×log1p-udef
372×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02048
138942
2449742
Stop Event
node limit
Counts
2 → 74
Calls
Call 1
Inputs
(PI.f64)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
Outputs
(+.f64 0 (PI.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (PI.f64))) (cbrt.f64 (exp.f64 (PI.f64))))) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.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 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(-.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 1)
(*.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (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 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (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 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (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 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64))) (sqrt.f64 2))
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (pow.f64 (*.f64 (PI.f64) 2) 1/4)) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)) 4103006302980662903082059/4200000000000000000000000)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) 1) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (cbrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (cbrt.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (sqrt.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) 3) 1) (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) (+.f64 1 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) 1))))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1) (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) 1))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) z)
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(fma.f64 1 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1))) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) -1)

simplify101.0ms (0.1%)

Algorithm
egg-herbie
Rules
1114×log-prod
1016×associate-*r/
962×fma-def
816×associate-*l/
722×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01953764
14243414
215963290
368413290
Stop Event
node limit
Counts
86 → 116
Calls
Call 1
Inputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(+.f64 0 (PI.f64))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
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(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
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(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
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(-.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) 1)
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 1)
(*.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
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(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (*.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (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 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (*.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (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 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) 4103006302980662903082059/4200000000000000000000000)
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (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 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (PI.f64))) (sqrt.f64 2))
(*.f64 (*.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (pow.f64 (*.f64 (PI.f64) 2) 1/4)) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 15/2)) 4103006302980662903082059/4200000000000000000000000)
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) 1) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (cbrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (cbrt.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) (sqrt.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) 3) 1) (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) (+.f64 1 (*.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) 1))))
(/.f64 (fma.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1) (+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) 1))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) z)
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(fma.f64 1 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1))) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) -1)
Outputs
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.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 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.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 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)) (exp.f64 -15/2)) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 (*.f64 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 2))) (sqrt.f64 15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (PI.f64))) (cbrt.f64 (exp.f64 (PI.f64))))) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (PI.f64))))) (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))) (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(PI.f64)
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(+.f64 (fma.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
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(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))) 3))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2) (pow.f64 (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)) 3)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) 1))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(fma.f64 1 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(+.f64 (fma.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1))) (cbrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) -1)
(+.f64 (fma.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(fma.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1)) -1)
(+.f64 (fma.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) 1) -1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))

localize86.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
99.5%
(*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 76 to 50 computations (34.2% saved)

series8.0ms (0%)

Counts
3 → 36
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
1.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
1.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
1.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
1.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))

rewrite98.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
798×pow-exp
730×expm1-udef
722×log1p-udef
608×log-pow
486×prod-diff
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021133
1428133
25090133
Stop Event
node limit
Counts
3 → 93
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))) 1)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (PI.f64)) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) 1) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (*.f64 (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 3) (pow.f64 (*.f64 (PI.f64) 2) 3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))))
(/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (neg.f64 (PI.f64))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) 1) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z))))
(pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) -1)
(sqrt.f64 (*.f64 (*.f64 15/2 (*.f64 1223699204170972405458614049551529263107435644887679481/17640000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) 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 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 2))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
(pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) 1) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) -1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))

simplify100.0ms (0.1%)

Algorithm
egg-herbie
Rules
1794×fma-def
1280×distribute-lft-in
750×associate-*r*
676×associate-*l*
622×log-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03466509
19346455
237466387
Stop Event
node limit
Counts
129 → 167
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 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (*.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 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (*.f64 -1/36 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.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 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (*.f64 -1/36 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (*.f64 -1/36 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/720 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5))))) (*.f64 -1/5040 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5)))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.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))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
(pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) 1) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) -1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.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) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (pow.f64 (PI.f64) 5))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (sqrt.f64 15/2)) (sqrt.f64 (pow.f64 (PI.f64) 5)))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (pow.f64 (PI.f64) 5/2) 1106209385320415913103082059/25200000000000000000000000)))
(+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (*.f64 -1/36 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(fma.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (pow.f64 (PI.f64) 5))) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))) -7/360) (*.f64 (pow.f64 z 3) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (sqrt.f64 15/2)) (sqrt.f64 (pow.f64 (PI.f64) 5))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 (PI.f64) 3) (exp.f64 -15/2)))) (*.f64 -7/360 (*.f64 (pow.f64 z 3) (sqrt.f64 (pow.f64 (PI.f64) 3))))))))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))) (fma.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 5/2))) 1106209385320415913103082059/25200000000000000000000000) (*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 3))) (*.f64 (sqrt.f64 2) -7/360)) (*.f64 (*.f64 (pow.f64 z 3) (pow.f64 (PI.f64) 3/2)) -1106209385320415913103082059/4200000000000000000000000))))
(+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (sqrt.f64 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (*.f64 -1/36 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 z 3)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))))) (*.f64 -1/36 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3)))))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 1/720 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5))))) (*.f64 -1/5040 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5)))))))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64)))))))
(fma.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) z)) (sqrt.f64 (pow.f64 (PI.f64) 5))) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))) -7/360) (*.f64 (pow.f64 z 3) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 3))) -7/360) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5))) 1/840)))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 3)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 (PI.f64) 3) (exp.f64 -15/2))) (*.f64 (sqrt.f64 2) -7/360))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 5) (fma.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (*.f64 (pow.f64 (PI.f64) 3) (exp.f64 -15/2)))) (*.f64 -7/360 (pow.f64 (PI.f64) 2))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5))) 1/840))))))) (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))) (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) z) (sqrt.f64 15/2)) (sqrt.f64 (pow.f64 (PI.f64) 5))))))
(fma.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) z) (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 5/2))) 1106209385320415913103082059/25200000000000000000000000) (fma.f64 (pow.f64 (PI.f64) 3/2) (fma.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 3))) (*.f64 (sqrt.f64 2) -7/360)) (pow.f64 z 3)) (*.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (pow.f64 z 5)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (pow.f64 (PI.f64) 3))) (*.f64 (sqrt.f64 2) -7/360)) (*.f64 1/6 (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 (PI.f64) 5))) (*.f64 (sqrt.f64 2) 1/840))))) (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (pow.f64 (PI.f64) 3/2)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (pow.f64 (PI.f64) 3/2)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (sqrt.f64 2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) (pow.f64 (PI.f64) 3/2)) (sin.f64 (*.f64 z (PI.f64)))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
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(expm1.f64 (log1p.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 15/2) (PI.f64))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(exp.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 15/2) (PI.f64))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))) 1))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 15/2) (PI.f64))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))) 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 15/2) (PI.f64))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 3))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 15/2) (PI.f64))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 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 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 15/2) (PI.f64))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))) 2))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 15/2) (PI.f64))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (sqrt.f64 15/2) (PI.f64))))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 15/2) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))) (PI.f64))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (PI.f64)) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2)) (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 z (PI.f64)))) 2))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3) 1/3)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 2)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) -1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)) 1) -1)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 (PI.f64) z)) 3)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) 1) 1))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 3))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 1/3))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) 2))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) -1))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))

localize309.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 369 to 281 computations (23.8% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite91.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
554×add-sqr-sqrt
532×add-exp-log
532×add-log-exp
532×log1p-expm1-u
532×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022116
1544108
Stop Event
node limit
Counts
2 → 103
Calls
Call 1
Inputs
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
Outputs
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(exp.f64 (*.f64 (log.f64 (+.f64 (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 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 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(fma.f64 1 (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 1 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) 2) (cbrt.f64 (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 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 2) (cbrt.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
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(fma.f64 (sqrt.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (sqrt.f64 (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 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))

simplify154.0ms (0.2%)

Algorithm
egg-herbie
Rules
1004×times-frac
812×unswap-sqr
650×fma-neg
458×distribute-rgt-in
458×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040312505
1116212221
2442312221
Stop Event
node limit
Counts
127 → 204
Calls
Call 1
Inputs
-175036605963169168476917941/4200000000000000000000000
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)
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(/.f64 (+.f64 (*.f64 -2496092394504893/250000000000000000000 (+.f64 (pow.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) 2) (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (-.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))))) (*.f64 (neg.f64 (-.f64 7 z)) (+.f64 (/.f64 53330686181957722571546196292208587018611296639/15625000000000000000000000000000000000000000000000000000000000000000 (pow.f64 (-.f64 8 z) 3)) (pow.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) 3)))) (*.f64 (neg.f64 (-.f64 7 z)) (+.f64 (pow.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) 2) (*.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (-.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000))))))
(/.f64 (+.f64 (*.f64 -2496092394504893/250000000000000000000 (-.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (*.f64 (neg.f64 (-.f64 7 z)) (-.f64 (pow.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) 2) (/.f64 14168312082207481814829662211841/625000000000000000000000000000000000000000000 (pow.f64 (-.f64 8 z) 2))))) (*.f64 (neg.f64 (-.f64 7 z)) (-.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(/.f64 (neg.f64 (+.f64 (/.f64 15551846857655318226905091849579726496037009957/15625000000000000000000000000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 3)) (pow.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2) (*.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2) (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2)))) (neg.f64 (+.f64 371756020978964147/150000000000000000 (-.f64 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) 3) (pow.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) 3)) (+.f64 (pow.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) 2) (-.f64 (*.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 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))
(/.f64 (-.f64 (pow.f64 (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 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(/.f64 (-.f64 (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 7 z) 2)) (pow.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 2)) (-.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(pow.f64 (+.f64 (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 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 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 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 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 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 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 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 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 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 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 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 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(fma.f64 1 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(fma.f64 1 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(fma.f64 1 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.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 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) 2) (cbrt.f64 (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 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 2) (cbrt.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.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 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(fma.f64 (sqrt.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (sqrt.f64 (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 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.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)
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(fma.f64 -12115790871431834490958943703/4390400000000000000000000000 (*.f64 z z) (fma.f64 -7438431377385067353648047161/705600000000000000000000000 z -175036605963169168476917941/4200000000000000000000000))
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10409174657078461523082059/4200000000000000000000000
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(fma.f64 z 350291408665333106351952839/705600000000000000000000000 (fma.f64 (*.f64 z z) 129091010669041056297/4390400000000000000000000000 10409174657078461523082059/4200000000000000000000000))
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(+.f64 (fma.f64 z 350291408665333106351952839/705600000000000000000000000 10409174657078461523082059/4200000000000000000000000) (fma.f64 (*.f64 z z) 129091010669041056297/4390400000000000000000000000 (*.f64 (pow.f64 z 3) 1031437005281937915679/245862400000000000000000000000)))
(+.f64 (fma.f64 z 350291408665333106351952839/705600000000000000000000000 10409174657078461523082059/4200000000000000000000000) (fma.f64 (pow.f64 z 3) 1031437005281937915679/245862400000000000000000000000 (*.f64 z (*.f64 z 129091010669041056297/4390400000000000000000000000))))
(*.f64 446800080651085577/900000000000000000 z)
(*.f64 z 446800080651085577/900000000000000000)
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(fma.f64 1 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (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 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) 2) (cbrt.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) 2) (cbrt.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (sqrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (sqrt.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (sqrt.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (sqrt.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (sqrt.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (sqrt.f64 (+.f64 371756020978964147/150000000000000000 (fma.f64 z 446800080651085577/900000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))

eval936.0ms (1%)

Compiler

Compiled 61147 to 48215 computations (21.1% saved)

prune226.0ms (0.2%)

Pruning

56 alts after pruning (54 fresh and 2 done)

PrunedKeptTotal
New1010361046
Fresh301848
Picked101
Done426
Total1045561101
Accurracy
100.0%
Counts
1101 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.5%
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
13.9%
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
96.3%
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))
5.1%
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) 1)
13.8%
(*.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)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
96.1%
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
13.9%
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
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 z 15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 1 z) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) 6765203681218851/10000000000000)) (*.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 1 z))) 9999999999998099/10000000000000000) (+.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 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))))))
96.9%
(*.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 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (-.f64 2 z) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 2 z) (neg.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
95.1%
(*.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 371756020978964147/150000000000000000 (+.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 (*.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 (+.f64 (+.f64 -2 z) (-.f64 12591392167224028/6765203681218851 (/.f64 z 6765203681218851/12591392167224028))) (-.f64 1 z)) (-.f64 2 z)) -6765203681218851/10000000000000) (+.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))))))))
96.8%
(*.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))))))
4.1%
(*.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 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z)) (*.f64 253373321288362579/25000000000000000000000 (/.f64 1 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 (+.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))))))
97.1%
(*.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 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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))))))
96.9%
(*.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)) (+.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))))))
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 -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))))))
95.9%
(*.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)))) -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))))))
15.4%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
13.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
95.8%
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
13.9%
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
5.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
96.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))
96.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))))
97.5%
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.5%
(*.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)) (exp.f64 (log.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 (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)))))
97.1%
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.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 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.8%
(*.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)))))
96.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 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)))))
97.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
95.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
95.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.7%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
95.7%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
95.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
13.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
13.9%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
95.8%
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
96.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
2.9%
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))))))))
22.5%
(sqrt.f64 (*.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
5.1%
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
5.2%
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
5.2%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
5.2%
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
22.5%
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))
5.2%
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
5.2%
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
2.9%
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
Compiler

Compiled 2123 to 1784 computations (16% saved)

regimes248.0ms (0.3%)

Counts
118 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) 1)
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
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(*.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)))))
(*.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 z 15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
(*.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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 (+.f64 (/.f64 (-.f64 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (-.f64 2 z) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 2 z) (neg.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
(*.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 (*.f64 3147848041806007/2500000000000 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (*.f64 (-.f64 2 z) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 2 z) (neg.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
(*.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)) (exp.f64 (log.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 (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 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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)) (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))))))))
(*.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)) (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))))))))
Outputs
(*.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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
Calls

2 calls:

90.0ms
(*.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)))))
45.0ms
z
Results
AccuracySegmentsBranch
97.7%1z
99.3%2(*.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 5091 to 3952 computations (22.4% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.638363009970901e+305
NaN
Compiler

Compiled 128 to 113 computations (11.7% saved)

regimes235.0ms (0.3%)

Counts
112 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
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(*.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 (*.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 (sqrt.f64 (PI.f64)) (sqrt.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 (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)))))
(*.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 z 15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))))))
Outputs
(*.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 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
Calls

2 calls:

86.0ms
(*.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)))))
49.0ms
z
Results
AccuracySegmentsBranch
97.7%1z
99.3%2(*.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 4503 to 3485 computations (22.6% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.638363009970901e+305
NaN
Compiler

Compiled 128 to 113 computations (11.7% saved)

regimes105.0ms (0.1%)

Counts
96 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
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(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
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(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) 1)
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (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 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 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 371756020978964147/150000000000000000 (+.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 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 (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))))))))
(*.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 371756020978964147/150000000000000000 (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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))))))
Outputs
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

36.0ms
z
Results
AccuracySegmentsBranch
97.5%1z
Compiler

Compiled 2934 to 2229 computations (24% saved)

regimes145.0ms (0.2%)

Counts
88 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))
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(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.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)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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 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 (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 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 (+.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.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)) 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 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 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 (+.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 1 (+.f64 7902188421553103227/30000000000000000 (+.f64 (*.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 (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 (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)) 646366562873259793/3000000000000000)) (+.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 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z)) (*.f64 253373321288362579/25000000000000000000000 (/.f64 1 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 371756020978964147/150000000000000000 (/.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 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.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 (+.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 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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))))))
(*.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 446800080651085577/900000000000000000 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 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 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))))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

93.0ms
z
Results
AccuracySegmentsBranch
98.7%2z
Compiler

Compiled 2315 to 1748 computations (24.5% saved)

bsearch62.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
60.0ms
-4.057279562818253
-8.975706310004299e-9
Results
57.0ms144×body256valid
Compiler

Compiled 875 to 716 computations (18.2% saved)

regimes86.0ms (0.1%)

Counts
73 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) 1)
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3)
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (PI.f64)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.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)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 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 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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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 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 (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 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
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.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:

53.0ms
z
Results
AccuracySegmentsBranch
98.4%2z
Compiler

Compiled 1407 to 1081 computations (23.2% saved)

bsearch59.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
58.0ms
-4.057279562818253
-8.975706310004299e-9
Results
55.0ms144×body256valid
Compiler

Compiled 857 to 698 computations (18.6% saved)

regimes104.0ms (0.1%)

Counts
70 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) 1)
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3)
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (PI.f64)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.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)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 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 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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.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 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))))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 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:

74.0ms
z
Results
AccuracySegmentsBranch
98.2%2z
Compiler

Compiled 1257 to 977 computations (22.3% saved)

bsearch59.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
58.0ms
-4.057279562818253
-8.975706310004299e-9
Results
55.0ms144×body256valid
Compiler

Compiled 695 to 563 computations (19% saved)

regimes50.0ms (0.1%)

Counts
65 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) 1)
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3)
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (PI.f64)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 1 (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.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)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
Outputs
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))
Calls

1 calls:

25.0ms
z
Results
AccuracySegmentsBranch
96.3%1z
Compiler

Compiled 1042 to 829 computations (20.4% saved)

regimes45.0ms (0%)

Counts
60 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) 1)
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3)
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (PI.f64)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))
Calls

1 calls:

23.0ms
z
Results
AccuracySegmentsBranch
96.2%1z
Compiler

Compiled 923 to 746 computations (19.2% saved)

regimes44.0ms (0%)

Counts
59 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))) 1)
(exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (-.f64 -15/2 (log.f64 (/.f64 z (sqrt.f64 15/2)))) (log.f64 4103006302980662903082059/4200000000000000000000000))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (pow.f64 (/.f64 (exp.f64 -5/2) (cbrt.f64 z)) 3) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000))) 3))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 15/2) 4103006302980662903082059/4200000000000000000000000)))) 3)
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) (*.f64 z (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 2) z) (PI.f64)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (pow.f64 z -2)))))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -2) (*.f64 (exp.f64 -15) 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000)))))
(sqrt.f64 (*.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1223699204170972405458614049551529263107435644887679481/2352000000000000000000000000000000000000000000000 (exp.f64 -15))) (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 2)))
(*.f64 (PI.f64) (/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1106209385320415913103082059/4200000000000000000000000)) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
Calls

1 calls:

22.0ms
z
Results
AccuracySegmentsBranch
96.1%1z
Compiler

Compiled 904 to 733 computations (18.9% saved)

regimes26.0ms (0%)

Counts
35 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 (-.f64 -15/2 (log.f64 z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 15/2)) z)) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
Calls

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
96.0%1z
Compiler

Compiled 476 to 390 computations (18.1% saved)

regimes23.0ms (0%)

Counts
30 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (exp.f64 -15) (pow.f64 z -2))) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) 3/2) 1/3)
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
Calls

1 calls:

12.0ms
z
Results
AccuracySegmentsBranch
95.9%1z
Compiler

Compiled 401 to 329 computations (18% saved)

regimes19.0ms (0%)

Counts
26 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) (/.f64 (/.f64 z 4103006302980662903082059/4200000000000000000000000) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))) (sqrt.f64 2))
(*.f64 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 1 z) (exp.f64 -15/2)) (sqrt.f64 15/2))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
Calls

1 calls:

10.0ms
z
Results
AccuracySegmentsBranch
95.7%1z
Compiler

Compiled 341 to 278 computations (18.5% saved)

regimes15.0ms (0%)

Counts
19 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
Calls

1 calls:

8.0ms
z
Results
AccuracySegmentsBranch
95.7%1z
Compiler

Compiled 241 to 194 computations (19.5% saved)

regimes14.0ms (0%)

Counts
18 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
Calls

1 calls:

8.0ms
z
Results
AccuracySegmentsBranch
95.6%1z
Compiler

Compiled 227 to 182 computations (19.8% saved)

regimes14.0ms (0%)

Counts
17 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) (*.f64 (PI.f64) 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) z) (exp.f64 -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (exp.f64 -15/2) z)) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))
(*.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)) (sqrt.f64 (*.f64 (PI.f64) 2))) z)
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
Outputs
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
Calls

1 calls:

8.0ms
z
Results
AccuracySegmentsBranch
13.9%1z
Compiler

Compiled 213 to 170 computations (20.2% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
5 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (exp.f64 -15)) (*.f64 z z))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (*.f64 (/.f64 (exp.f64 -15) (*.f64 z z)) (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (/.f64 (exp.f64 -15) (/.f64 (*.f64 z z) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000)))))
Outputs
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
Calls

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
5.2%1z
Compiler

Compiled 64 to 45 computations (29.7% saved)

simplify346.0ms (0.4%)

Algorithm
egg-herbie
Rules
1294×unsub-neg
1188×distribute-lft-neg-in
916×neg-mul-1
696×neg-sub0
628×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02512922
14032910
24622910
35712902
46762902
57662902
69292902
711182902
812252902
913942902
1016592902
1120092902
1224362902
1329122902
1433762902
1537592902
1641242902
1742602902
1843422902
1943872902
2045882902
2146652902
2246702902
2346712902
2446712902
2546782902
2646792902
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.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))))) 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (*.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 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (+.f64 (-.f64 1 z) 1)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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)))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000)))
(if (<=.f64 (*.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))))) 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104) (*.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 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (neg.f64 z) 6)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000)))
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(if (<=.f64 z -2) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000)) (*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))))
(if (<=.f64 z -5584463537939415/9007199254740992) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000)) (*.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))))))
(if (<=.f64 z -5584463537939415/9007199254740992) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 z (PI.f64)))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 (pow.f64 (PI.f64) 3/2) 9999999999998099/10000000000000000)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 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 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(*.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 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) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
Outputs
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(if (<=.f64 z -5584463537939415/9007199254740992) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 9999999999998099/10000000000000000 (pow.f64 (PI.f64) 3/2))) (*.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 39321001939258358983/90000000000000000))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
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(if (<=.f64 z -5584463537939415/9007199254740992) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 9999999999998099/10000000000000000 (pow.f64 (PI.f64) 3/2))) (*.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(if (<=.f64 z -5584463537939415/9007199254740992) (*.f64 (*.f64 (/.f64 (sqrt.f64 2) (sin.f64 (*.f64 (PI.f64) z))) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))) (*.f64 9999999999998099/10000000000000000 (pow.f64 (PI.f64) 3/2))) (*.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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))))
(/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 (*.f64 (PI.f64) 2))) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))))) (sin.f64 (*.f64 (PI.f64) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 (PI.f64) (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 (sqrt.f64 (PI.f64)) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 (/.f64 z (sqrt.f64 15/2)) (exp.f64 -15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.f64 1 z)))
(*.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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (exp.f64 -15/2)) z)))
(*.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) z) (sqrt.f64 15/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 15/2) (/.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 -15) (PI.f64))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (exp.f64 -15))) (/.f64 (sqrt.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000) z))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 16834660722299047347928306329752967843321287679481/1176000000000000000000000000000000000000000000000 (/.f64 (exp.f64 -15) (*.f64 z z)))))
Compiler

Compiled 945 to 781 computations (17.4% saved)

soundness2.4s (2.6%)

Rules
1892×fma-neg
1892×fma-neg
1802×fma-def
1794×fma-def
1794×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
064311
1163293
2641237
34401229
030119
1727115
064311
1163293
2641237
34401229
03127531
110337175
245316343
021134
1460134
25897134
03127531
110337175
245316343
01883
136783
2426383
02048
138942
2449742
01953764
14243414
215963290
368413290
01883
136783
2426383
02543387
15803271
219623137
372413137
02534105
17183965
229903615
371733615
02093997
16553731
228933239
03466509
19346455
237466387
03466509
19346455
237466387
03466509
19346455
237466387
03466509
19346455
237466387
021133
1428133
25090133
021133
1428133
25090133
02534105
17183965
229903615
371733615
01445
132037
2419037
02378
155778
2778378
03556301
19145471
230055071
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 5705 to 4560 computations (20.1% saved)

end406.0ms (0.4%)

Compiler

Compiled 2108 to 1682 computations (20.2% saved)

Profiling

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