Jmat.Real.gamma, branch z less than 0.5

Details

Time bar (total: 1.5min)

analyze537.0ms (0.6%)

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

Compiled 127 to 112 computations (11.8% saved)

sample1.0min (70.3%)

Results
57.2s3910×body8192exit
5.6s8168×body256valid
43.0ms87×body256unsamplable
43.0ms88×body256infinite
Bogosity

preprocess54.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 125 to 111 computations (11.2% saved)

simplify65.0ms (0.1%)

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

Useful iterations: 3 (0.0ms)

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

eval7.0ms (0%)

Compiler

Compiled 470 to 383 computations (18.5% saved)

prune8.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New145
Fresh101
Picked000
Done000
Total246
Accurracy
98.5%
Counts
6 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(*.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))))))
▶96.7%
(*.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))))))))
▶97.8%
(*.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 -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))))))
▶97.8%
(*.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 (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)

localize579.0ms (0.6%)

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))
✓97.6%
(*.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))))))

rewrite172.0ms (0.2%)

Algorithm
1×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
1×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))))))

simplify136.0ms (0.2%)

Algorithm
1×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
1×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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(+.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))))

localize738.0ms (0.8%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(+.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 7713234287776531/10000000000000 (-.f64 3 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 420 to 323 computations (23.1% saved)

series4.0ms (0%)

Counts
3 → 36
Calls

9 calls:

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

rewrite120.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
860×add-sqr-sqrt
816×add-exp-log
816×add-log-exp
814×add-cbrt-cube
814×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036109
1855109
Stop Event
1×node limit
Counts
3 → 33
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 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 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))) 1)
(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)))))
(log.f64 (+.f64 1 (expm1.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 (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 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (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)
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(-.f64 (exp.f64 (log1p.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)))))) 1)
(*.f64 1 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3) (pow.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) 3)) (+.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (-.f64 (*.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(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)))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(log.f64 (+.f64 1 (expm1.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)))))))
(cbrt.f64 (*.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 (/.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 (/.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 (/.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 (/.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))))))

simplify135.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1470×fma-def
854×times-frac
776×fma-neg
684×*-commutative
618×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02162961
15572849
220422629
364492629
Stop Event
1×node limit
Counts
69 → 113
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
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))))))
10409174657078461523082059/4200000000000000000000000
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))) 1)
(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)))))
(log.f64 (+.f64 1 (expm1.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 (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 (*.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (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)
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(-.f64 (exp.f64 (log1p.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)))))) 1)
(*.f64 1 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3) (pow.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) 3)) (+.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (-.f64 (*.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(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)))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(log.f64 (+.f64 1 (expm1.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)))))))
(cbrt.f64 (*.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 (/.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 (/.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 (/.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 (/.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
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 -15/2))
(*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 z 1) (exp.f64 -15/2))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)) (fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 z z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 1/2 (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (*.f64 z z)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 z 1) (exp.f64 -15/2))) (*.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 z z))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(fma.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)) (fma.f64 1/6 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3)))) (fma.f64 1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 z z)) (sqrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64)))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3)))) (*.f64 (*.f64 1/2 (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (*.f64 z z))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 z z))))) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 z 1) (exp.f64 -15/2)))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 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 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 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 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 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 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 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 (sqrt.f64 2) (*.f64 (exp.f64 (+.f64 -15/2 z)) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
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 z (*.f64 z 7713234287776531/270000000000000) (fma.f64 (pow.f64 z 3) 7713234287776531/810000000000000 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 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z))
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 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 (/.f64 -23139702863329593/10000000000000 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 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 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 (/.f64 23139702863329593/10000000000000 z) z) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4))))
(/.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 -7713234287776531/10000000000000 z) (/.f64 (/.f64 23139702863329593/10000000000000 z) z))
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 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 (/.f64 -23139702863329593/10000000000000 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 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 (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4)) (+.f64 (/.f64 (/.f64 23139702863329593/10000000000000 z) z) (+.f64 (/.f64 7713234287776531/10000000000000 z) (/.f64 69419108589988779/10000000000000 (pow.f64 z 3)))))
(+.f64 (/.f64 (/.f64 -23139702863329593/10000000000000 z) z) (+.f64 (+.f64 (/.f64 -7713234287776531/10000000000000 z) (/.f64 -69419108589988779/10000000000000 (pow.f64 z 3))) (/.f64 -208257325769966337/10000000000000 (pow.f64 z 4))))
10409174657078461523082059/4200000000000000000000000
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)
(fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000)
(fma.f64 z 350291408665333106351952839/705600000000000000000000000 10409174657078461523082059/4200000000000000000000000)
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000) (*.f64 (*.f64 z z) 11784999493416810208044520019/118540800000000000000000000000))
(fma.f64 z 350291408665333106351952839/705600000000000000000000000 (fma.f64 (*.f64 z z) 11784999493416810208044520019/118540800000000000000000000000 10409174657078461523082059/4200000000000000000000000))
(fma.f64 z (*.f64 z 11784999493416810208044520019/118540800000000000000000000000) (fma.f64 z 350291408665333106351952839/705600000000000000000000000 10409174657078461523082059/4200000000000000000000000))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(fma.f64 350291408665333106351952839/705600000000000000000000000 z (fma.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 (*.f64 z z) 11784999493416810208044520019/118540800000000000000000000000))))
(fma.f64 z 350291408665333106351952839/705600000000000000000000000 (fma.f64 (pow.f64 z 3) 396401817189495604203614369999/19914854400000000000000000000000 (fma.f64 (*.f64 z z) 11784999493416810208044520019/118540800000000000000000000000 10409174657078461523082059/4200000000000000000000000)))
(fma.f64 (pow.f64 z 3) 396401817189495604203614369999/19914854400000000000000000000000 (fma.f64 z (*.f64 z 11784999493416810208044520019/118540800000000000000000000000) (fma.f64 z 350291408665333106351952839/705600000000000000000000000 10409174657078461523082059/4200000000000000000000000)))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 385658505730833990852833/6250000000000000000000 (*.f64 z z)) (/.f64 309219557958850910362579/25000000000000000000000 z)))
(+.f64 (/.f64 -385658505730833990852833/6250000000000000000000 (*.f64 z z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))
(+.f64 (/.f64 (/.f64 -385658505730833990852833/6250000000000000000000 z) z) (/.f64 -309219557958850910362579/25000000000000000000000 z))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 385658505730833990852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -385658505730833990852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 (/.f64 -385658505730833990852833/6250000000000000000000 z) z) (/.f64 -309219557958850910362579/25000000000000000000000 z)) (/.f64 -1923097008798534553716389/6250000000000000000000 (pow.f64 z 3)))
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(+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(log.f64 (+.f64 1 (expm1.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 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 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(cbrt.f64 (*.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 (/.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 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 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(expm1.f64 (log1p.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 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 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 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 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 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 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 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 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))

localize603.0ms (0.7%)

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)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
✓97.6%
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
Compiler

Compiled 665 to 558 computations (16.1% saved)

series2.0ms (0%)

Counts
3 → 36
Calls

9 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 (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
@0
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
0.0ms
z
@inf
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))

rewrite87.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
726×add-sqr-sqrt
690×add-exp-log
690×add-log-exp
688×log1p-expm1-u
688×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029137
1711133
Stop Event
1×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 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
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 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 1)
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3) (*.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))
(/.f64 (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 3) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 3))) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3))))))
(/.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 2)) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000) 1)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000) (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000)))
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 3) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000) -883075145810703/5000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000) (+.f64 (-.f64 1 z) 3)))
(/.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000) 883075145810703/5000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000) (neg.f64 (+.f64 (-.f64 1 z) 3))))
(/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) 1)) (*.f64 (+.f64 (-.f64 1 z) 2) (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000)))
(/.f64 (+.f64 (*.f64 7713234287776531/10000000000000 (neg.f64 (+.f64 (-.f64 1 z) 3))) (*.f64 (+.f64 (-.f64 1 z) 2) 883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (neg.f64 (+.f64 (-.f64 1 z) 3))))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) 1)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000)))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) -883075145810703/5000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) (+.f64 (-.f64 1 z) 3)))
(/.f64 (+.f64 (*.f64 -7713234287776531/10000000000000 (neg.f64 (+.f64 (-.f64 1 z) 3))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) 883075145810703/5000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) (neg.f64 (+.f64 (-.f64 1 z) 3))))
(/.f64 (+.f64 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) 1)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)))
(/.f64 (+.f64 (+.f64 (-.f64 1 z) 2) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) 7713234287776531/10000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) -7713234287776531/10000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) (neg.f64 (+.f64 (-.f64 1 z) 2))))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) 1)) (*.f64 (+.f64 (-.f64 1 z) 3) (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) 7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (neg.f64 (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 3) -7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) (neg.f64 (+.f64 (-.f64 1 z) 2))))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) 1)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (+.f64 (-.f64 1 z) 2)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (neg.f64 (+.f64 (-.f64 1 z) 2))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) -7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (neg.f64 (+.f64 (-.f64 1 z) 2))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))

simplify124.0ms (0.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
04897203
113715881
243365843
Stop Event
1×node limit
Counts
139 → 217
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))))))
12777243138120953/60000000000000
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(/.f64 (+.f64 (+.f64 (-.f64 1 z) 2) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) 7713234287776531/10000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (neg.f64 (+.f64 (-.f64 1 z) 2)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) -7713234287776531/10000000000000)) (*.f64 (/.f64 (+.f64 (-.f64 1 z) 3) -883075145810703/5000000000000) (neg.f64 (+.f64 (-.f64 1 z) 2))))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) 1)) (*.f64 (+.f64 (-.f64 1 z) 3) (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 2)) (*.f64 (+.f64 (-.f64 1 z) 3) 7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (neg.f64 (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 3) -7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) (neg.f64 (+.f64 (-.f64 1 z) 2))))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) 1)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (+.f64 (-.f64 1 z) 2)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (+.f64 (-.f64 1 z) 2)))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (neg.f64 (+.f64 (-.f64 1 z) 2))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) -7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (neg.f64 (+.f64 (-.f64 1 z) 2))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
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 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) 14/15)) 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 (*.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))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (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 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30))) (*.f64 z z))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 1/2 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (pow.f64 z 3)))))
(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 (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 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 (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)))) (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)) (fma.f64 -1 (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 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (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) (-.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))))) (pow.f64 z 3)))))
(*.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 (exp.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 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.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 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.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 (exp.f64 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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 (-.f64 z 15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 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 z 904338909853211/2500000000000)))
(fma.f64 (*.f64 z z) 2076511864126339/4000000000000 (fma.f64 z 904338909853211/2500000000000 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 z 904338909853211/2500000000000))))
(fma.f64 (*.f64 z z) 2076511864126339/4000000000000 (fma.f64 (pow.f64 z 3) 23912966683069397/40000000000000 (fma.f64 z 904338909853211/2500000000000 469507597606837/10000000000000)))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.f64 (/.f64 (/.f64 3683516130645841/2000000000000 z) z) (/.f64 5826188486005177/10000000000000 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 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
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(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 3 (-.f64 1 z)) (+.f64 (*.f64 (-.f64 1 z) -883075145810703/5000000000000) -883075145810703/2500000000000)) (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 3 (-.f64 1 z))))
(/.f64 (fma.f64 (-.f64 3 z) -883075145810703/5000000000000 (*.f64 7713234287776531/10000000000000 (-.f64 4 z))) (*.f64 (-.f64 3 z) (-.f64 4 z)))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (neg.f64 (+.f64 (-.f64 1 z) 2))) (*.f64 (+.f64 (-.f64 1 z) 3) -7713234287776531/10000000000000)) (*.f64 (+.f64 (-.f64 1 z) 3) (neg.f64 (+.f64 (-.f64 1 z) 2))))
(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -3) (+.f64 (*.f64 883075145810703/5000000000000 (-.f64 1 z)) 883075145810703/2500000000000)) (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 (neg.f64 (-.f64 1 z)) -3)))
(/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/10000000000000 (*.f64 (-.f64 3 z) 883075145810703/5000000000000)) (neg.f64 (*.f64 (-.f64 3 z) (-.f64 4 z))))
(/.f64 (fma.f64 (-.f64 3 z) 883075145810703/5000000000000 (*.f64 (-.f64 4 z) -7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (neg.f64 (-.f64 4 z))))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) 1)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (/.f64 (+.f64 (-.f64 1 z) 2) 7713234287776531/10000000000000)))
(/.f64 (fma.f64 883075145810703/5000000000000 (/.f64 (+.f64 2 (-.f64 1 z)) 7713234287776531/10000000000000) (+.f64 (neg.f64 (-.f64 1 z)) -3)) (*.f64 (/.f64 (+.f64 2 (-.f64 1 z)) 7713234287776531/10000000000000) (+.f64 (neg.f64 (-.f64 1 z)) -3)))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 3 z) 7713234287776531/1766150291621406) (-.f64 4 z)) (neg.f64 (*.f64 (-.f64 3 z) (-.f64 4 z)))) 7713234287776531/10000000000000)
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 5298450874864218/7713234287776531 (/.f64 z 7713234287776531/1766150291621406)) (-.f64 4 z)) (-.f64 3 z)) (-.f64 4 z)) -7713234287776531/10000000000000)
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (+.f64 (-.f64 1 z) 2)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (+.f64 (-.f64 1 z) 2)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 (neg.f64 (-.f64 1 z)) -3) (+.f64 (*.f64 883075145810703/5000000000000 (-.f64 1 z)) 883075145810703/2500000000000)) (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 (neg.f64 (-.f64 1 z)) -3)))
(/.f64 (fma.f64 (-.f64 4 z) -7713234287776531/10000000000000 (*.f64 (-.f64 3 z) 883075145810703/5000000000000)) (neg.f64 (*.f64 (-.f64 3 z) (-.f64 4 z))))
(/.f64 (fma.f64 (-.f64 3 z) 883075145810703/5000000000000 (*.f64 (-.f64 4 z) -7713234287776531/10000000000000)) (*.f64 (-.f64 3 z) (neg.f64 (-.f64 4 z))))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (neg.f64 (+.f64 (-.f64 1 z) 2))) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) -7713234287776531/10000000000000)) (*.f64 (neg.f64 (+.f64 (-.f64 1 z) 3)) (neg.f64 (+.f64 (-.f64 1 z) 2))))
(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 3 (-.f64 1 z)) (+.f64 (*.f64 (-.f64 1 z) -883075145810703/5000000000000) -883075145810703/2500000000000)) (*.f64 (+.f64 2 (-.f64 1 z)) (+.f64 3 (-.f64 1 z))))
(/.f64 (fma.f64 (-.f64 3 z) -883075145810703/5000000000000 (*.f64 7713234287776531/10000000000000 (-.f64 4 z))) (*.f64 (-.f64 3 z) (-.f64 4 z)))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 3)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3) 1/3)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 2)
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 1))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 3)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

localize1.6s (1.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓97.6%
(*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
✓95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
✓10.4%
(+.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
@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)))
0.0ms
z
@inf
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))

rewrite78.0ms (0.1%)

Algorithm
1×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
1×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)))))
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(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))))
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(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))))
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(-.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)
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(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)
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(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))
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simplify198.0ms (0.2%)

Algorithm
1×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
1×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))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))
(-.f64 1 (-.f64 z -1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (-.f64 1 z) -1))) 1)
(-.f64 (/.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)))))
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))))))
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(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 1 (-.f64 z 11/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 13/2 (neg.f64 z))))
(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)))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 11/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 1 (-.f64 z 11/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 13/2 (neg.f64 z))))
(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)))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 11/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 1 (-.f64 z 11/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 13/2 (neg.f64 z))))
(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)))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 11/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 1 (-.f64 z 11/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 13/2 (neg.f64 z))))
(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)))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 11/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 1 (-.f64 z 11/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 13/2 (neg.f64 z))))
(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))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 11/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 1 (-.f64 z 11/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 13/2 (neg.f64 z))))
(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)))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (-.f64 1 z) 11/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 1 (-.f64 z 11/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 13/2 (neg.f64 z))))

eval2.0s (2.2%)

Compiler

Compiled 63862 to 51094 computations (20% saved)

prune290.0ms (0.3%)

Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New62429653
Fresh000
Picked101
Done213
Total62730657
Accurracy
100.0%
Counts
657 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(*.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 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 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))))))
95.5%
(*.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))))))
12.9%
(*.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))))))))
98.1%
(*.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 (+.f64 (-.f64 2 z) (-.f64 -12591392167224028/6765203681218851 (/.f64 z -6765203681218851/12591392167224028))) (-.f64 2 z)) (-.f64 10000000000000/6765203681218851 (/.f64 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))))))))
98.1%
(*.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 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))) (/.f64 (*.f64 (-.f64 1 z) (-.f64 2 z)) -21295833160343550136109053437957/25000000000000000000000000)) (+.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))))))))
96.7%
(*.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 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.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))))))))
96.6%
(*.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 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.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))))))))
▶97.3%
(*.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 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.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))))))))
95.6%
(*.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))) 12777243138120953/60000000000000)) (+.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 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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))))))))
▶94.1%
(*.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))))))))
4.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓97.8%
(*.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 -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))))))
98.1%
(*.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 (/.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))))))))
96.7%
(*.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 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))))))
96.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -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))))))
95.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.7%
(*.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)))))
97.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (/.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))))))) (+.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)))))
▶6.3%
(*.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)))))
4.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.8%
(*.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 (/.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 -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)))))
97.8%
(*.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 (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)))))
95.3%
(*.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)))))
95.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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)))))
96.8%
(*.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)))))
96.4%
(*.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)))))
98.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.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 -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)))))
95.3%
(*.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)))))
▶13.9%
(*.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 4647 to 3841 computations (17.3% saved)

localize2.6s (2.9%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.6%
(*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
✓94.3%
(+.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)))))
10.4%
(+.f64 (-.f64 1 z) -1)
Compiler

Compiled 880 to 750 computations (14.8% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite136.0ms (0.2%)

Algorithm
1×batch-egg-rewrite
Rules
882×expm1-udef
866×log1p-udef
530×add-sqr-sqrt
506×add-exp-log
506×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02373
154269
2719669
Stop Event
1×node limit
Counts
1 → 41
Calls
Call 1
Inputs
(+.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)))))
Outputs
(-.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))) 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 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))))) (/.f64 (pow.f64 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))) 2) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))))))
(-.f64 (+.f64 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))) 9999999999998099/10000000000000000) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(*.f64 1 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))
(*.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) 2)) (cbrt.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))))
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(fma.f64 (sqrt.f64 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))))) (sqrt.f64 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))

simplify181.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1022×fma-def
906×distribute-lft-neg-in
774×sub-neg
430×cancel-sign-sub-inv
418×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01485003
13904289
215024119
359063675
Stop Event
1×node limit
Counts
53 → 81
Calls
Call 1
Inputs
3239171488526100880312595937844772199/62956960836120140000000000000000000
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(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))) 2) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))) 2)) (-.f64 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))))))) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))))))
(pow.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) 3)
(pow.f64 (pow.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))))
(exp.f64 (log.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))))
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(fma.f64 1 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
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Outputs
3239171488526100880312595937844772199/62956960836120140000000000000000000
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(+.f64 9999999999998099/10000000000000000 (fma.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 2500000000000/3147848041806007 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))) (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 (fma.f64 (-.f64 1 z) -2500000000000/3147848041806007 -2500000000000/3147848041806007) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (fma.f64 (*.f64 -2500000000000/3147848041806007 (-.f64 2 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (fma.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 2500000000000/3147848041806007 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.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 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))))
(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 (fma.f64 (-.f64 1 z) -2500000000000/3147848041806007 -2500000000000/3147848041806007) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (fma.f64 (*.f64 -2500000000000/3147848041806007 (-.f64 2 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (fma.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 2500000000000/3147848041806007 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))))) 2) (cbrt.f64 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 (fma.f64 (-.f64 1 z) -2500000000000/3147848041806007 -2500000000000/3147848041806007) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (fma.f64 (*.f64 -2500000000000/3147848041806007 (-.f64 2 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (fma.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 2500000000000/3147848041806007 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.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 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))))
(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 (fma.f64 (-.f64 1 z) -2500000000000/3147848041806007 -2500000000000/3147848041806007) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (fma.f64 (*.f64 -2500000000000/3147848041806007 (-.f64 2 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (fma.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 2500000000000/3147848041806007 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))))) (sqrt.f64 (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2))))) (+.f64 9999999999998099/10000000000000000 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 -2500000000000/3147848041806007 (*.f64 (-.f64 1 z) -2500000000000/3147848041806007)) (+.f64 99999999999961980000000003613801/100000000000000000000000000000000 (*.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2)))))
(+.f64 (/.f64 -6765203681218851/10000000000000 (-.f64 1 z)) (fma.f64 (fma.f64 (-.f64 1 z) -2500000000000/3147848041806007 -2500000000000/3147848041806007) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) 9999999999998099/10000000000000000))
(+.f64 9999999999998099/10000000000000000 (fma.f64 (*.f64 -2500000000000/3147848041806007 (-.f64 2 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (fma.f64 (+.f64 -5000000000000/3147848041806007 (*.f64 2500000000000/3147848041806007 z)) (fma.f64 -45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) -2) 99999999999961980000000003613801/100000000000000000000000000000000) (/.f64 -6765203681218851/10000000000000 (-.f64 1 z))))

localize403.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.5%
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
✓99.4%
(*.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))
97.6%
(*.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)

series9.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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)))))
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
@0
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
0.0ms
z
@-inf
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))

rewrite68.0ms (0.1%)

Algorithm
1×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
041168
1963168
Stop Event
1×node limit
Counts
2 → 16
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 (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 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (/.f64 (PI.f64) (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)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(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)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))

simplify92.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1836×times-frac
1598×distribute-rgt-in
1594×distribute-lft-in
472×associate-*r*
428×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02624584
17934340
231894240
Stop Event
1×node limit
Counts
40 → 67
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))))
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(*.f64 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)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
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(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 3464024008321714637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 5195971728131790397167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) z)) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 31175378496294352533611/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 3))) (sqrt.f64 (pow.f64 (PI.f64) 3)))) (*.f64 5195971728131790397167/6250000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 z 2))) (sqrt.f64 (pow.f64 (PI.f64) 3)))))))
(/.f64 1 z)
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))
(+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 z 5) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (*.f64 1/720 (pow.f64 (PI.f64) 6)))))) (+.f64 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/120 (pow.f64 (PI.f64) 4)) (*.f64 -1/36 (pow.f64 (PI.f64) 4))) (pow.f64 z 3))) (/.f64 1 z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(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 (PI.f64) (/.f64 1 (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (/.f64 (PI.f64) (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)))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(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)))))
(log1p.f64 (expm1.f64 (/.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 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
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(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)))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.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 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 (sqrt.f64 (*.f64 2 (PI.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 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(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)))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.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 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 (sqrt.f64 (*.f64 2 (PI.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 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(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)))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.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 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 (sqrt.f64 (*.f64 2 (PI.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 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(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 (sqrt.f64 (*.f64 2 (PI.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 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 (sqrt.f64 (*.f64 2 (PI.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 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.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 1 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))))) (cbrt.f64 (/.f64 (PI.f64) (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))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1)
(/.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))))
(cbrt.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.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))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))

localize447.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.5%
(/.f64 4919378858736341/200000000000000 z)
✓98.7%
(*.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)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.6%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 338 to 229 computations (32.2% saved)

series6.0ms (0%)

Counts
2 → 12
Calls

6 calls:

TimeVariablePointExpression
2.0ms
z
@0
(*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
2.0ms
z
@-inf
(*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
1.0ms
z
@inf
(*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
0.0ms
z
@0
(/.f64 4919378858736341/200000000000000 z)
0.0ms
z
@inf
(/.f64 4919378858736341/200000000000000 z)

rewrite76.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038140
1936140
Stop Event
1×node limit
Counts
2 → 16
Calls
Call 1
Inputs
(*.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 4919378858736341/200000000000000 z)
Outputs
(pow.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 4919378858736341/200000000000000 (/.f64 1 z))
(*.f64 1 (/.f64 4919378858736341/200000000000000 z))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(*.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(pow.f64 (/.f64 4919378858736341/200000000000000 z) 1)
(log.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 4919378858736341/200000000000000 z)) (/.f64 4919378858736341/200000000000000 z)))
(expm1.f64 (log1p.f64 (/.f64 4919378858736341/200000000000000 z)))
(exp.f64 (log.f64 (/.f64 4919378858736341/200000000000000 z)))
(log1p.f64 (expm1.f64 (/.f64 4919378858736341/200000000000000 z)))

simplify66.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1628×fma-def
1600×distribute-rgt-in
1598×distribute-lft-in
1358×times-frac
222×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01902650
15502562
221962326
Stop Event
1×node limit
Counts
28 → 55
Calls
Call 1
Inputs
(*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2)))
(+.f64 (*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)) (+.f64 (*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2))) (/.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 6868447169803563/40000000000000 (exp.f64 -15/2)))) z)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 6868447169803563/40000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) z) (+.f64 (*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 6868447169803563/40000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 6868447169803563/80000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)) (*.f64 6868447169803563/40000000000000 (*.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 (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 6868447169803563/40000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) z) (+.f64 (*.f64 6868447169803563/40000000000000 (/.f64 (*.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 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 6868447169803563/40000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 6868447169803563/80000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (*.f64 6868447169803563/40000000000000 (*.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 (sqrt.f64 15/2) (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 2289482389934521/80000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 -4919378858736341/400000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2))))))))) z) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 6868447169803563/40000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 6868447169803563/80000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)) (*.f64 6868447169803563/40000000000000 (*.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 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2)))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2))) (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 3))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (+.f64 (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 3))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))))))
(pow.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 4919378858736341/200000000000000 (/.f64 1 z))
(*.f64 1 (/.f64 4919378858736341/200000000000000 z))
(*.f64 (*.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(*.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(pow.f64 (/.f64 4919378858736341/200000000000000 z) 1)
(log.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))
(cbrt.f64 (*.f64 (*.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 4919378858736341/200000000000000 z)) (/.f64 4919378858736341/200000000000000 z)))
(expm1.f64 (log1p.f64 (/.f64 4919378858736341/200000000000000 z)))
(exp.f64 (log.f64 (/.f64 4919378858736341/200000000000000 z)))
(log1p.f64 (expm1.f64 (/.f64 4919378858736341/200000000000000 z)))
Outputs
(*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2)))
(*.f64 6868447169803563/40000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (*.f64 z z) (sqrt.f64 15/2))))
(*.f64 6868447169803563/40000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (sqrt.f64 15/2)))
(+.f64 (*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)) (+.f64 (*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2))) (/.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 6868447169803563/40000000000000 (exp.f64 -15/2)))) z)))
(fma.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) z) (fma.f64 6868447169803563/40000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (*.f64 z z) (sqrt.f64 15/2))) (/.f64 (sqrt.f64 15/2) (/.f64 z (*.f64 (exp.f64 -15/2) 14711428495140737/100000000000000)))))
(fma.f64 6868447169803563/40000000000000 (/.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (fma.f64 6868447169803563/40000000000000 (*.f64 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (sqrt.f64 15/2)) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (exp.f64 -15/2) 14711428495140737/100000000000000))))
(fma.f64 6868447169803563/40000000000000 (fma.f64 (/.f64 (-.f64 -1/15 (log.f64 15/2)) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (/.f64 (exp.f64 -15/2) (*.f64 z z)) (sqrt.f64 15/2))) (*.f64 (/.f64 (sqrt.f64 15/2) z) (*.f64 (exp.f64 -15/2) 14711428495140737/100000000000000)))
(+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 6868447169803563/40000000000000 (exp.f64 -15/2))) (sqrt.f64 15/2)) z) (+.f64 (*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 6868447169803563/40000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2))) (+.f64 (*.f64 (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 6868447169803563/80000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2)) (*.f64 6868447169803563/40000000000000 (*.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 (sqrt.f64 15/2) (/.f64 z (*.f64 (exp.f64 -15/2) 14711428495140737/100000000000000))) (fma.f64 6868447169803563/40000000000000 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) z) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) 14711428495140737/100000000000000)) (fma.f64 6868447169803563/40000000000000 (/.f64 (exp.f64 -15/2) (/.f64 (*.f64 z z) (sqrt.f64 15/2))) (fma.f64 (fma.f64 -4919378858736341/200000000000000 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) 364696482717667720403082059/4200000000000000000000000)) (sqrt.f64 15/2) (*.f64 6868447169803563/40000000000000 (*.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)))))))))))
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(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (+.f64 (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 3))) (+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 2))) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))))))
(fma.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (fma.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2)))) (fma.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (*.f64 z z) (exp.f64 (+.f64 z -15/2)))) (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 z -15/2))))))))
(fma.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (fma.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (fma.f64 31175378496294352533611/6250000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 z 3)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 1078390842009938509147167/6250000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(fma.f64 9999999999998099/10000000000000000 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 -15/2 z))) (fma.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (exp.f64 (+.f64 -15/2 z))) (*.f64 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (/.f64 (exp.f64 (+.f64 -15/2 z)) z)) (+.f64 1078390842009938509147167/6250000000000000000000 (/.f64 31175378496294352533611/6250000000000000000000 z)))))
(pow.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1)
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (-.f64 (/.f64 4919378858736341/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(log.f64 (exp.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (-.f64 (/.f64 4919378858736341/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (-.f64 (/.f64 4919378858736341/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (-.f64 (/.f64 4919378858736341/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (-.f64 (/.f64 4919378858736341/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 4919378858736341/200000000000000 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (-.f64 (/.f64 4919378858736341/200000000000000 z) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))))
(*.f64 4919378858736341/200000000000000 (/.f64 1 z))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 1 (/.f64 4919378858736341/200000000000000 z))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (*.f64 (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z))) (cbrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(*.f64 (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)) (sqrt.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(pow.f64 (/.f64 4919378858736341/200000000000000 z) 1)
(/.f64 4919378858736341/200000000000000 z)
(log.f64 (exp.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(cbrt.f64 (*.f64 (*.f64 (/.f64 4919378858736341/200000000000000 z) (/.f64 4919378858736341/200000000000000 z)) (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(expm1.f64 (log1p.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(exp.f64 (log.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)
(log1p.f64 (expm1.f64 (/.f64 4919378858736341/200000000000000 z)))
(/.f64 4919378858736341/200000000000000 z)

localize595.0ms (0.7%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(*.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))))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
✓98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
Compiler

Compiled 579 to 490 computations (15.4% saved)

series2.0ms (0%)

Counts
2 → 12
Calls

3 calls:

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

rewrite90.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1240×add-exp-log
1240×add-log-exp
1238×log1p-expm1-u
1238×add-cube-cbrt
1238×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050222
11266222
Stop Event
1×node limit
Counts
2 → 14
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 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))
Outputs
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
(log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.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 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2))))
(pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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)))))))) 1)
(log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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))))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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))))))))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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))))))))))
(exp.f64 (log.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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))))))))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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))))))))))

simplify80.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1526×distribute-lft-in
1502×distribute-rgt-in
1044×fma-def
1018×associate-+l+
954×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01192556
13182268
213212080
377812080
Stop Event
1×node limit
Counts
26 → 48
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 2)))) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (+.f64 (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (pow.f64 z 3)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))))
(+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 3))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))
(+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))))
(+.f64 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 2))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)) (*.f64 -398308844029173303716389/6250000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (pow.f64 z 3))))))
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
(log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.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 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (+.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 (exp.f64 -15/2) (sqrt.f64 15/2))))
(pow.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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)))))))) 1)
(log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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))))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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))))))))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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))))))))))
(exp.f64 (log.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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))))))))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 z 1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))
(*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)))
(+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)))
(fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) z) 102757979785251069442117317613/235200000000000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))
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(fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (*.f64 z z))) (fma.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) z)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
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(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
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(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 1 (-.f64 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 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z))) (/.f64 -883075145810703/5000000000000 (+.f64 3 (-.f64 1 z)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (+.f64 (/.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 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 9999999999998099/10000000000000000)))
(*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))

localize928.0ms (1%)

Local Accuracy

Found 4 expressions with local accuracy:

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

Compiled 723 to 593 computations (18% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms
z
@-inf
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
0.0ms
z
@inf
(+.f64 (+.f64 (/.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))))

rewrite238.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
624×add-sqr-sqrt
598×add-exp-log
598×add-cbrt-cube
598×add-log-exp
598×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02491
160991
Stop Event
1×node limit
Counts
1 → 59
Calls
Call 1
Inputs
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))) (/.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 2) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(*.f64 1 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(*.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 2) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 2)) (/.f64 1 (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 2) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))) (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 3))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) (-.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 3)) (+.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (-.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 2) (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 2)) (-.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(/.f64 (+.f64 (*.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000)) (*.f64 (-.f64 1 (+.f64 z -6)) (-.f64 1 (+.f64 z -7)))) (*.f64 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (+.f64 z -5))) (fma.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -7)) (*.f64 (-.f64 1 (+.f64 z -6)) 3764081837873279/25000000000000000000000)))) (*.f64 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (+.f64 z -5))) (*.f64 (-.f64 1 (+.f64 z -6)) (-.f64 1 (+.f64 z -7)))))
(/.f64 (+.f64 (*.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -5)) (*.f64 (-.f64 1 (+.f64 z -4)) -3464277381643003/25000000000000000)) (+.f64 (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -6)) 2)) (-.f64 (pow.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))) 2) (/.f64 9395496047809491419109279454147/6250000000000000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -6)) (-.f64 1 (+.f64 z -7))))))) (*.f64 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 15551846857655318226905091849579726496037009957/15625000000000000000000000000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -6)) 3)) (pow.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))) 3)))) (*.f64 (*.f64 (-.f64 1 (+.f64 z -4)) (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 6230477241905170390422600941449/62500000000000000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -6)) 2)) (-.f64 (pow.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))) 2) (/.f64 9395496047809491419109279454147/6250000000000000000000000000000000000000000 (*.f64 (-.f64 1 (+.f64 z -6)) (-.f64 1 (+.f64 z -7))))))))
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(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))))) (pow.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))) 2)) (-.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))
(pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))))
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(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(fma.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))
(fma.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))
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simplify411.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1376×associate-+l+
1302×associate-+r+
540×distribute-rgt-in
520×distribute-lft-in
514×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030512969
19589717
237169673
Stop Event
1×node limit
Counts
71 → 123
Calls
Call 1
Inputs
10409174657078461523082059/4200000000000000000000000
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)))))
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(/.f64 (-.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (pow.f64 (-.f64 1 (+.f64 z -4)) 2)) (*.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) 2) (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) 2)) (-.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))))))
(/.f64 (-.f64 (*.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6)))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))))) (pow.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))) 2)) (-.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6)))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))
(pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(fma.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))
(fma.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))
(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 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) 2) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))
(fma.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 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))
(fma.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 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))
Outputs
10409174657078461523082059/4200000000000000000000000
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)
(fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000)
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 (fma.f64 350291408665333106351952839/705600000000000000000000000 z 10409174657078461523082059/4200000000000000000000000) (*.f64 11784999493416810208044520019/118540800000000000000000000000 (*.f64 z z)))
(fma.f64 350291408665333106351952839/705600000000000000000000000 z (fma.f64 11784999493416810208044520019/118540800000000000000000000000 (*.f64 z z) 10409174657078461523082059/4200000000000000000000000))
(+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) (+.f64 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (pow.f64 z 2)))))
(fma.f64 350291408665333106351952839/705600000000000000000000000 z (fma.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 (*.f64 z z)))))
(fma.f64 350291408665333106351952839/705600000000000000000000000 z (fma.f64 396401817189495604203614369999/19914854400000000000000000000000 (pow.f64 z 3) (fma.f64 11784999493416810208044520019/118540800000000000000000000000 (*.f64 z z) 10409174657078461523082059/4200000000000000000000000)))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 385658505730833990852833/6250000000000000000000 (*.f64 z z)) (/.f64 309219557958850910362579/25000000000000000000000 z)))
(+.f64 (/.f64 -385658505730833990852833/6250000000000000000000 (*.f64 z z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 385658505730833990852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -385658505730833990852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -385658505730833990852833/6250000000000000000000 (*.f64 z z)) (/.f64 -309219557958850910362579/25000000000000000000000 z)) (/.f64 -1923097008798534553716389/6250000000000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 385658505730833990852833/6250000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 9584312843660180496487187/6250000000000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -385658505730833990852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (+.f64 (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3)) (/.f64 9584312843660180496487187/6250000000000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -385658505730833990852833/6250000000000000000000 (*.f64 z z)) (/.f64 -309219557958850910362579/25000000000000000000000 z)) (/.f64 -1923097008798534553716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 -9584312843660180496487187/6250000000000000000000 (pow.f64 z 4)))
(/.f64 -309219557958850910362579/25000000000000000000000 z)
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 385658505730833990852833/6250000000000000000000 (*.f64 z z)) (/.f64 309219557958850910362579/25000000000000000000000 z)))
(+.f64 (/.f64 -385658505730833990852833/6250000000000000000000 (*.f64 z z)) (/.f64 -309219557958850910362579/25000000000000000000000 z))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (/.f64 385658505730833990852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -385658505730833990852833/6250000000000000000000 (*.f64 z z)) (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3))))
(+.f64 (+.f64 (/.f64 -385658505730833990852833/6250000000000000000000 (*.f64 z z)) (/.f64 -309219557958850910362579/25000000000000000000000 z)) (/.f64 -1923097008798534553716389/6250000000000000000000 (pow.f64 z 3)))
(neg.f64 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 309219557958850910362579/25000000000000000000000 (/.f64 1 z))))))
(neg.f64 (+.f64 (/.f64 385658505730833990852833/6250000000000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 309219557958850910362579/25000000000000000000000 z) (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 3))) (/.f64 9584312843660180496487187/6250000000000000000000 (pow.f64 z 4)))))
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(fma.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(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 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) 2) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.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 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))
(fma.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 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 1 (+.f64 z -4))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (+.f64 z -5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 1 (+.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (+.f64 z -7))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))

eval1.9s (2.1%)

Compiler

Compiled 79344 to 64258 computations (19% saved)

prune253.0ms (0.3%)

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New75914773
Fresh61824
Picked101
Done415
Total77033803
Accurracy
100.0%
Counts
803 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
98.0%
(*.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 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 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))))))
12.9%
(*.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))))))))
▶98.1%
(*.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 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000))) (/.f64 (*.f64 (-.f64 1 z) (-.f64 2 z)) -21295833160343550136109053437957/25000000000000000000000000)) (+.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))))))))
96.7%
(*.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 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.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))))))))
▶97.3%
(*.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 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)))))
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 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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))))))))
96.5%
(*.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 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.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))))))))
▶95.5%
(*.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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 9999999999998099/10000000000000000)))))
94.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))))))
94.3%
(*.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 469507597606837/10000000000000 (+.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))))))))
94.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
✓97.8%
(*.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 -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))))))
98.1%
(*.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 (/.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))))))))
96.7%
(*.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 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))))))
96.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -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))))))
95.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.7%
(*.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)))))
6.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (/.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))))))) (+.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)))))
▶4.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.8%
(*.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 (/.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 -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)))))
97.8%
(*.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 (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)))))
95.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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)))))
96.8%
(*.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)))))
96.4%
(*.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)))))
98.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.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 -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)))))
95.3%
(*.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)))))
▶13.9%
(*.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 1 z)))
13.9%
(*.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 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
13.9%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
13.9%
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
Compiler

Compiled 4469 to 3689 computations (17.5% saved)

localize590.0ms (0.7%)

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)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.6%
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
✓96.4%
(+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)))
Compiler

Compiled 753 to 624 computations (17.1% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)))
0.0ms
z
@inf
(+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)))
0.0ms
z
@-inf
(+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)))

rewrite97.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1184×log-prod
938×fma-def
578×pow-exp
522×expm1-udef
514×log1p-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01231
129431
2411223
Stop Event
1×node limit
Counts
1 → 77
Calls
Call 1
Inputs
(+.f64 (-.f64 -5000000000000/3147848041806007 (/.f64 z -3147848041806007/2500000000000)) (-.f64 10000000000000/6765203681218851 (/.f64 z 6765203681218851/10000000000000)))
Outputs
(-.f64 -5000000000000/3147848041806007 (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851)))
(-.f64 10000000000000/6765203681218851 (-.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))
(-.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)) (*.f64 z 10000000000000/6765203681218851))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) (-.f64 -5000000000000/3147848041806007 (fma.f64 z -2500000000000/3147848041806007 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) (/.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 2) (-.f64 -5000000000000/3147848041806007 (fma.f64 z -2500000000000/3147848041806007 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))))
(-.f64 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) -5000000000000/3147848041806007) (*.f64 z -2500000000000/3147848041806007))
(*.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 1)
(*.f64 1 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) 2))
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(expm1.f64 (log1p.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(exp.f64 (log.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) 2))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 1 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 1 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 1 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 1 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 1 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)) (*.f64 z -10000000000000/6765203681218851))
(fma.f64 (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (pow.f64 (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 2) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 2) (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (pow.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 2) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 2) (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (sqrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (sqrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (-.f64 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051 (*.f64 (pow.f64 z 3) 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051)) (/.f64 1 (fma.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (-.f64 -125000000000000000000000000000000000000/31191860336727207531769765603776766852501482343 (*.f64 (pow.f64 z 3) -15625000000000000000000000000000000000/31191860336727207531769765603776766852501482343)) (/.f64 1 (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (-.f64 100000000000000000000000000/45767980848377092942628957760201 (*.f64 (*.f64 z z) 100000000000000000000000000/45767980848377092942628957760201)) (/.f64 1 (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (-.f64 25000000000000000000000000/9908947294301912793614221284049 (*.f64 (*.f64 z z) 6250000000000000000000000/9908947294301912793614221284049)) (/.f64 1 (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)))) (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (*.f64 z -10000000000000/6765203681218851))
(fma.f64 (sqrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (sqrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (*.f64 z -10000000000000/6765203681218851))

simplify98.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1358×distribute-rgt-in
1356×distribute-lft-in
1174×fma-def
490×*-commutative
460×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02464045
16423749
219693243
Stop Event
1×node limit
Counts
89 → 116
Calls
Call 1
Inputs
-2347537988034185000000000000/21295833160343550136109053437957
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 -5000000000000/3147848041806007 (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851)))
(-.f64 10000000000000/6765203681218851 (-.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))
(-.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)) (*.f64 z 10000000000000/6765203681218851))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) (-.f64 -5000000000000/3147848041806007 (fma.f64 z -2500000000000/3147848041806007 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) (/.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 2) (-.f64 -5000000000000/3147848041806007 (fma.f64 z -2500000000000/3147848041806007 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))))
(-.f64 (+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) -5000000000000/3147848041806007) (*.f64 z -2500000000000/3147848041806007))
(*.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 1)
(*.f64 1 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) 2) (cbrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) (sqrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(*.f64 (+.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 3) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3)) (/.f64 1 (fma.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (-.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2))))
(*.f64 (-.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 2)) (/.f64 1 (-.f64 -5000000000000/3147848041806007 (fma.f64 z -2500000000000/3147848041806007 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (-.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2)) (+.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 3) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3))))
(/.f64 1 (/.f64 (-.f64 -5000000000000/3147848041806007 (fma.f64 z -2500000000000/3147848041806007 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) (-.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 2))))
(/.f64 (+.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 3) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3)) (fma.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (-.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 3) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3)) (+.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 2) (-.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) (*.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 2)) (-.f64 -5000000000000/3147848041806007 (fma.f64 z -2500000000000/3147848041806007 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(/.f64 (fma.f64 (-.f64 -125000000000000000000000000000000000000/31191860336727207531769765603776766852501482343 (*.f64 (pow.f64 z 3) -15625000000000000000000000000000000000/31191860336727207531769765603776766852501482343)) (fma.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201) (*.f64 (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049) (-.f64 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051 (*.f64 (pow.f64 z 3) 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051)))) (*.f64 (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049) (fma.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201)))
(/.f64 (fma.f64 (-.f64 -125000000000000000000000000000000000000/31191860336727207531769765603776766852501482343 (*.f64 (pow.f64 z 3) -15625000000000000000000000000000000000/31191860336727207531769765603776766852501482343)) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) (*.f64 (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049) (-.f64 100000000000000000000000000/45767980848377092942628957760201 (*.f64 (*.f64 z z) 100000000000000000000000000/45767980848377092942628957760201)))) (*.f64 (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851)))
(/.f64 (fma.f64 (-.f64 25000000000000000000000000/9908947294301912793614221284049 (*.f64 (*.f64 z z) 6250000000000000000000000/9908947294301912793614221284049)) (fma.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201) (*.f64 (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) (-.f64 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051 (*.f64 (pow.f64 z 3) 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051)))) (*.f64 (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201)))
(/.f64 (fma.f64 (-.f64 25000000000000000000000000/9908947294301912793614221284049 (*.f64 (*.f64 z z) 6250000000000000000000000/9908947294301912793614221284049)) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) (*.f64 (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) (-.f64 100000000000000000000000000/45767980848377092942628957760201 (*.f64 (*.f64 z z) 100000000000000000000000000/45767980848377092942628957760201)))) (*.f64 (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851)))
(/.f64 (fma.f64 (-.f64 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051 (*.f64 (pow.f64 z 3) 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051)) (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049) (*.f64 (fma.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201) (-.f64 -125000000000000000000000000000000000000/31191860336727207531769765603776766852501482343 (*.f64 (pow.f64 z 3) -15625000000000000000000000000000000000/31191860336727207531769765603776766852501482343)))) (*.f64 (fma.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201) (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049)))
(/.f64 (fma.f64 (-.f64 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051 (*.f64 (pow.f64 z 3) 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051)) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) (*.f64 (fma.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201) (-.f64 25000000000000000000000000/9908947294301912793614221284049 (*.f64 (*.f64 z z) 6250000000000000000000000/9908947294301912793614221284049)))) (*.f64 (fma.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007)))
(/.f64 (fma.f64 (-.f64 100000000000000000000000000/45767980848377092942628957760201 (*.f64 (*.f64 z z) 100000000000000000000000000/45767980848377092942628957760201)) (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049) (*.f64 (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) (-.f64 -125000000000000000000000000000000000000/31191860336727207531769765603776766852501482343 (*.f64 (pow.f64 z 3) -15625000000000000000000000000000000000/31191860336727207531769765603776766852501482343)))) (*.f64 (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049)))
(/.f64 (fma.f64 (-.f64 100000000000000000000000000/45767980848377092942628957760201 (*.f64 (*.f64 z z) 100000000000000000000000000/45767980848377092942628957760201)) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) (*.f64 (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) (-.f64 25000000000000000000000000/9908947294301912793614221284049 (*.f64 (*.f64 z z) 6250000000000000000000000/9908947294301912793614221284049)))) (*.f64 (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 3) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3))) (neg.f64 (fma.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (-.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 2))) (neg.f64 (-.f64 -5000000000000/3147848041806007 (fma.f64 z -2500000000000/3147848041806007 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))))
(/.f64 (-.f64 -125000000000000000000000000000000000000/31191860336727207531769765603776766852501482343 (pow.f64 (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851)) 3)) (+.f64 25000000000000000000000000/9908947294301912793614221284049 (fma.f64 (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851)) (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851)) (*.f64 -5000000000000/3147848041806007 (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851))))))
(/.f64 (-.f64 (pow.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)) 3) (*.f64 (pow.f64 z 3) 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051)) (fma.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)) (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)) (fma.f64 (*.f64 z z) 100000000000000000000000000/45767980848377092942628957760201 (*.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)) (*.f64 z 10000000000000/6765203681218851)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 2) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2)) (-.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))
(/.f64 (-.f64 25000000000000000000000000/9908947294301912793614221284049 (*.f64 (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851)) (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851)))) (+.f64 -5000000000000/3147848041806007 (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851))))
(/.f64 (-.f64 (*.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)) (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (*.f64 (*.f64 z z) 100000000000000000000000000/45767980848377092942628957760201)) (+.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)) (*.f64 z 10000000000000/6765203681218851)))
(pow.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 1)
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) 3)
(pow.f64 (pow.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (-.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2)) (+.f64 (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 3) (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 3))) -1)
(pow.f64 (/.f64 (-.f64 -5000000000000/3147848041806007 (fma.f64 z -2500000000000/3147848041806007 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) (-.f64 (pow.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 2) (pow.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 2))
(log.f64 (exp.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (+.f64 1 (expm1.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (exp.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))) (+.f64 1 (expm1.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (+.f64 1 (expm1.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) (exp.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) (+.f64 1 (expm1.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)))))
(log.f64 (*.f64 (exp.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (exp.f64 (*.f64 z -10000000000000/6765203681218851))))
(log.f64 (*.f64 (exp.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (/.f64 1 (exp.f64 (*.f64 z 10000000000000/6765203681218851)))))
(log.f64 (/.f64 (exp.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (+.f64 1 (expm1.f64 (*.f64 z 10000000000000/6765203681218851)))))
(cbrt.f64 (pow.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 3))
(expm1.f64 (log1p.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(exp.f64 (log.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)))) 2))
(log1p.f64 (expm1.f64 (+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))))
(fma.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) 1 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) 1 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 1 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 1 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 1 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)) (*.f64 z -10000000000000/6765203681218851))
(fma.f64 (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (pow.f64 (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 2) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) 2) (cbrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (pow.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 2) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) 2) (cbrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (sqrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (sqrt.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (sqrt.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (-.f64 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051 (*.f64 (pow.f64 z 3) 1000000000000000000000000000000000000000/309629712517394580428200722024092610534658749051)) (/.f64 1 (fma.f64 (*.f64 z 10000000000000/6765203681218851) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851) 100000000000000000000000000/45767980848377092942628957760201)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (-.f64 -125000000000000000000000000000000000000/31191860336727207531769765603776766852501482343 (*.f64 (pow.f64 z 3) -15625000000000000000000000000000000000/31191860336727207531769765603776766852501482343)) (/.f64 1 (fma.f64 (*.f64 z -2500000000000/3147848041806007) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007) 25000000000000000000000000/9908947294301912793614221284049)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (-.f64 100000000000000000000000000/45767980848377092942628957760201 (*.f64 (*.f64 z z) 100000000000000000000000000/45767980848377092942628957760201)) (/.f64 1 (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (-.f64 25000000000000000000000000/9908947294301912793614221284049 (*.f64 (*.f64 z z) 6250000000000000000000000/9908947294301912793614221284049)) (/.f64 1 (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)))) (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (*.f64 z -10000000000000/6765203681218851))
(fma.f64 (sqrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (sqrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (*.f64 z -10000000000000/6765203681218851))
Outputs
-2347537988034185000000000000/21295833160343550136109053437957
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
(-.f64 (*.f64 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957)
(fma.f64 -14565471215012942500000000000/21295833160343550136109053437957 z -2347537988034185000000000000/21295833160343550136109053437957)
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(fma.f64 (-.f64 100000000000000000000000000/45767980848377092942628957760201 (*.f64 z (*.f64 z 100000000000000000000000000/45767980848377092942628957760201))) (/.f64 1 (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(fma.f64 (+.f64 100000000000000000000000000/45767980848377092942628957760201 (*.f64 (*.f64 z z) -100000000000000000000000000/45767980848377092942628957760201)) (/.f64 1 (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851)) (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007))
(+.f64 (fma.f64 z 2500000000000/3147848041806007 -5000000000000/3147848041806007) (/.f64 (fma.f64 (*.f64 z z) -100000000000000000000000000/45767980848377092942628957760201 100000000000000000000000000/45767980848377092942628957760201) (fma.f64 z 10000000000000/6765203681218851 10000000000000/6765203681218851)))
(fma.f64 (-.f64 25000000000000000000000000/9908947294301912793614221284049 (*.f64 (*.f64 z z) 6250000000000000000000000/9908947294301912793614221284049)) (/.f64 1 (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(fma.f64 (+.f64 25000000000000000000000000/9908947294301912793614221284049 (*.f64 (*.f64 z z) -6250000000000000000000000/9908947294301912793614221284049)) (/.f64 1 (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007)) (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851))
(+.f64 (fma.f64 z -10000000000000/6765203681218851 10000000000000/6765203681218851) (/.f64 (fma.f64 z (*.f64 z -6250000000000000000000000/9908947294301912793614221284049) 25000000000000000000000000/9908947294301912793614221284049) (fma.f64 z -2500000000000/3147848041806007 -5000000000000/3147848041806007)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851)))) (cbrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (*.f64 z -10000000000000/6765203681218851))
(-.f64 -5000000000000/3147848041806007 (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851)))
(-.f64 -5000000000000/3147848041806007 (fma.f64 z 10000000000000/6765203681218851 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851)))
(fma.f64 z -10000000000000/6765203681218851 (fma.f64 z 2500000000000/3147848041806007 -2347537988034185000000000000/21295833160343550136109053437957))
(fma.f64 (sqrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (sqrt.f64 (+.f64 -5000000000000/3147848041806007 (fma.f64 z 2500000000000/3147848041806007 10000000000000/6765203681218851))) (*.f64 z -10000000000000/6765203681218851))
(-.f64 -5000000000000/3147848041806007 (+.f64 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851) (*.f64 z 10000000000000/6765203681218851)))
(-.f64 -5000000000000/3147848041806007 (fma.f64 z 10000000000000/6765203681218851 (fma.f64 z -2500000000000/3147848041806007 -10000000000000/6765203681218851)))
(fma.f64 z -10000000000000/6765203681218851 (fma.f64 z 2500000000000/3147848041806007 -2347537988034185000000000000/21295833160343550136109053437957))

localize230.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(*.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 1 z))
✓99.4%
(*.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 1 z)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.6%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 252 to 191 computations (24.2% saved)

series6.0ms (0%)

Counts
2 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
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 1 z)))
1.0ms
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 1 z)))
1.0ms
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 1 z)))
1.0ms
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 1 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 1 z))

rewrite83.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
934×add-sqr-sqrt
882×pow1
880×add-exp-log
880×add-log-exp
880×*-un-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040236
1935236
Stop Event
1×node limit
Counts
2 → 14
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 1 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 1 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 1) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) z)))

simplify90.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1460×distribute-lft-in
1458×distribute-rgt-in
1052×associate-+r+
1010×associate-+l+
448×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02385918
17235646
229195120
Stop Event
1×node limit
Counts
38 → 90
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))))
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(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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 1) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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))))) 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 (sqrt.f64 2) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))))
(+.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)))))
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(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 (exp.f64 -15/2) 686589210868425267349738751/705600000000000000000000000) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2)))))))))
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(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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))))) 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))))) 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))))) z)))
(/.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 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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))))) z)))
(/.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 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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))))) z)))
(/.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 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 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))))) z)))
(/.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 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) (/.f64 z (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

localize285.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.5%
(/.f64 4919378858736341/200000000000000 z)
✓98.7%
(*.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)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.6%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 292 to 206 computations (29.5% saved)

series2.0ms (0%)

Counts
1 → 12
Calls

3 calls:

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

rewrite65.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
856×add-sqr-sqrt
816×add-exp-log
814×add-log-exp
814×log1p-expm1-u
814×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034115
1835113
Stop Event
1×node limit
Counts
1 → 8
Calls
Call 1
Inputs
(*.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)))))
Outputs
(-.f64 (exp.f64 (log1p.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) 1)
(pow.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(log.f64 (+.f64 1 (expm1.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))

simplify59.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1924×fma-def
1590×distribute-lft-in
1588×distribute-rgt-in
1026×associate-+r+
752×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01682642
15002538
219862290
Stop Event
1×node limit
Counts
20 → 47
Calls
Call 1
Inputs
(*.f64 -4919378858736341/200000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (+.f64 (*.f64 -4919378858736341/200000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (*.f64 -4919378858736341/200000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))))
(+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (+.f64 (*.f64 -4919378858736341/200000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (+.f64 (*.f64 z (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 -4919378858736341/400000000000000 (exp.f64 -15/2))))) (*.f64 -4919378858736341/200000000000000 (*.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 -4919378858736341/200000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z)))))
(+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 4103006302980662903082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 -4919378858736341/1200000000000000 (exp.f64 -15/2)) (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)))))) (+.f64 (*.f64 -4919378858736341/200000000000000 (*.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 (+.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 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 -4919378858736341/400000000000000 (exp.f64 -15/2))))))))) (pow.f64 z 2)) (+.f64 (*.f64 -4919378858736341/200000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (+.f64 (*.f64 z (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 -2715848032326100368047161/705600000000000000000000000 (exp.f64 -15/2)) (*.f64 -4919378858736341/400000000000000 (exp.f64 -15/2))))) (*.f64 -4919378858736341/200000000000000 (*.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 -4919378858736341/200000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2)))))
(+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 2))) (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (pow.f64 z 3))))))
(*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 2)))))
(+.f64 (*.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (+.f64 (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 3))) (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) (pow.f64 z 2))))))
(-.f64 (exp.f64 (log1p.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) 1)
(pow.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1)
(log.f64 (exp.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(log.f64 (+.f64 1 (expm1.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
Outputs
(*.f64 -4919378858736341/200000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.f64 -4919378858736341/200000000000000 (/.f64 (exp.f64 -15/2) (/.f64 z (sqrt.f64 15/2))))
(/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2))) z)
(*.f64 -4919378858736341/200000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2)))
(+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -4919378858736341/200000000000000 (exp.f64 -15/2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)))) (+.f64 (*.f64 -4919378858736341/200000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2)))) (*.f64 -4919378858736341/200000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))))
(fma.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) -99203949730482498096917941/4200000000000000000000000) (*.f64 -4919378858736341/200000000000000 (+.f64 (*.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 z (sqrt.f64 15/2))))))
(fma.f64 -4919378858736341/200000000000000 (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 -99203949730482498096917941/4200000000000000000000000 (sqrt.f64 15/2))))
(fma.f64 -4919378858736341/200000000000000 (*.f64 (sqrt.f64 15/2) (+.f64 (/.f64 (exp.f64 -15/2) z) (*.f64 (exp.f64 -15/2) (-.f64 -1/15 (log.f64 15/2))))) (*.f64 (exp.f64 -15/2) (*.f64 -99203949730482498096917941/4200000000000000000000000 (sqrt.f64 15/2))))
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(fma.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 -611458333333720910362579/25000000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2)))) (fma.f64 5195971728131790397167/6250000000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (*.f64 z z)) (*.f64 31175378496294352533611/6250000000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 (pow.f64 z 3) (exp.f64 (+.f64 z -15/2))))))))
(fma.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (exp.f64 (+.f64 -15/2 z))) (fma.f64 31175378496294352533611/6250000000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (pow.f64 z 3)) (exp.f64 (+.f64 -15/2 z))) (*.f64 5195971728131790397167/6250000000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))))
(fma.f64 9999999999998099/10000000000000000 (*.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (fma.f64 -611458333333720910362579/25000000000000000000000 (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) z) (exp.f64 (+.f64 -15/2 z))) (*.f64 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 z z)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (+.f64 5195971728131790397167/6250000000000000000000 (/.f64 31175378496294352533611/6250000000000000000000 z)))))
(-.f64 (exp.f64 (log1p.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))) 1)
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(pow.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) 1)
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(log.f64 (exp.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(log.f64 (+.f64 1 (expm1.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))))
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (+.f64 (-.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (*.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (-.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(exp.f64 (log.f64 (*.f64 (+.f64 (-.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (-.f64 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
(*.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 -4919378858736341/200000000000000 z) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))

localize454.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
✓98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
Compiler

Compiled 506 to 412 computations (18.6% saved)

series1.0ms (0%)

Counts
2 → 24
Calls

6 calls:

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

rewrite124.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
880×expm1-udef
868×log1p-udef
504×add-sqr-sqrt
482×add-exp-log
482×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02062
149562
2730962
Stop Event
1×node limit
Counts
2 → 116
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
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(/.f64 (+.f64 (-.f64 3 z) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) 7713234287776531/10000000000000)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.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)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3))
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(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1))
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(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 -883075145810703/5000000000000 (pow.f64 (-.f64 4 z) -1) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (cbrt.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))

simplify116.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1434×fma-def
994×times-frac
752×div-sub
716×unswap-sqr
438×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04537088
111286792
235146784
Stop Event
1×node limit
Counts
140 → 194
Calls
Call 1
Inputs
469507597606837/10000000000000
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(/.f64 5826188486005177/10000000000000 z)
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12777243138120953/60000000000000
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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))
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 -883075145810703/5000000000000 (pow.f64 (-.f64 4 z) -1) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (cbrt.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
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 904338909853211/2500000000000 z (fma.f64 z (*.f64 z 2076511864126339/4000000000000) 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)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.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 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
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(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
(/.f64 5826188486005177/10000000000000 z)
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z))
(+.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 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (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 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)) (/.f64 5826188486005177/10000000000000 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)) (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 4)))))
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000))
(fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 z 53758197989915921/720000000000000)))
(+.f64 12777243138120953/60000000000000 (fma.f64 z 53758197989915921/720000000000000 (*.f64 z (*.f64 z 222980468271960011/8640000000000000))))
(fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000))
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(+.f64 12777243138120953/60000000000000 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 z 53758197989915921/720000000000000))))
(+.f64 12777243138120953/60000000000000 (fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 z 53758197989915921/720000000000000 (*.f64 z (*.f64 z 222980468271960011/8640000000000000)))))
(fma.f64 (pow.f64 z 3) 36630596080989161/4147200000000000 (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) (fma.f64 z 53758197989915921/720000000000000 12777243138120953/60000000000000)))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (-.f64 (-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (-.f64 (-.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (-.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(/.f64 (+.f64 (/.f64 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 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (/.f64 1 (*.f64 (-.f64 1 z) (-.f64 2 z))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))
(*.f64 (+.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3) (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3)) (/.f64 1 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 2 z)))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2)) (-.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (pow.f64 (-.f64 2 z) 2)) (/.f64 -21295833160343550136109053437957/25000000000000000000000000 (*.f64 (-.f64 1 z) (-.f64 2 z))))) (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (/.f64 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 (pow.f64 (-.f64 1 z) 3)))))
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(/.f64 (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (-.f64 3 z)) (-.f64 3 z)) (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)))
(/.f64 (+.f64 (neg.f64 (-.f64 3 z)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) -7713234287776531/10000000000000)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (neg.f64 (-.f64 3 z))))
(/.f64 (fma.f64 -7713234287776531/10000000000000 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (neg.f64 (-.f64 3 z))) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (neg.f64 (-.f64 3 z))))
(/.f64 (fma.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) -7713234287776531/10000000000000 (+.f64 -3 z)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (+.f64 -3 z)))
(/.f64 (fma.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) -7713234287776531/10000000000000 (+.f64 z -3)) (*.f64 (-.f64 -20000000000000/883075145810703 (/.f64 z -883075145810703/5000000000000)) (+.f64 z -3)))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (-.f64 4 z)) (*.f64 (-.f64 4 z) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(/.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (-.f64 4 z)) (*.f64 (-.f64 4 z) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(/.f64 (/.f64 (-.f64 (fma.f64 -883075145810703/5000000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 4) z) (-.f64 4 z)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)))
(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (neg.f64 (-.f64 3 z))) (*.f64 (-.f64 4 z) -7713234287776531/10000000000000)) (*.f64 (-.f64 4 z) (neg.f64 (-.f64 3 z))))
(*.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (/.f64 (/.f64 1 (-.f64 3 z)) (-.f64 4 z)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (-.f64 4 z)))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))) (*.f64 (neg.f64 (-.f64 4 z)) 1)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000))))
(/.f64 (fma.f64 883075145810703/5000000000000 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (neg.f64 (-.f64 4 z))) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (neg.f64 (-.f64 4 z))))
(/.f64 (fma.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 883075145810703/5000000000000 (+.f64 -4 z)) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (+.f64 -4 z)))
(/.f64 (fma.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) 883075145810703/5000000000000 (+.f64 z -4)) (*.f64 (-.f64 30000000000000/7713234287776531 (/.f64 z 7713234287776531/10000000000000)) (+.f64 z -4)))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (-.f64 3 z)) (*.f64 (neg.f64 (-.f64 4 z)) 7713234287776531/10000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (-.f64 3 z)))
(*.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (/.f64 (/.f64 1 (-.f64 3 z)) (-.f64 4 z)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (-.f64 4 z)))
(/.f64 (+.f64 (*.f64 883075145810703/5000000000000 (neg.f64 (-.f64 3 z))) (*.f64 (neg.f64 (-.f64 4 z)) -7713234287776531/10000000000000)) (*.f64 (neg.f64 (-.f64 4 z)) (neg.f64 (-.f64 3 z))))
(*.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (/.f64 (/.f64 1 (-.f64 3 z)) (-.f64 4 z)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (-.f64 4 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 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (/.f64 (/.f64 1 (-.f64 3 z)) (-.f64 4 z)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (*.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 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z)))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))) (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3)))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (+.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (-.f64 4 z) 3))) (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (+.f64 (/.f64 -6811365493350374017225292011293/50000000000000000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))) (/.f64 -59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)))))
(/.f64 (neg.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)))) (neg.f64 (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(/.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 -779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (-.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2)) (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(/.f64 (-.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (-.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (+.f64 (/.f64 59493983178131529437839794393961/100000000000000000000000000 (pow.f64 (-.f64 3 z) 2)) (/.f64 -779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 883075145810703/5000000000000 (-.f64 4 z))))
(/.f64 (/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (-.f64 3 z)) (-.f64 4 z))
(*.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (/.f64 (/.f64 1 (-.f64 3 z)) (-.f64 4 z)))
(/.f64 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 (-.f64 3 z) -883075145810703/5000000000000)) (*.f64 (-.f64 3 z) (-.f64 4 z)))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)
(+.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)))) 3)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3) 1/3)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 2)
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2))
(+.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 -883075145810703/5000000000000 (-.f64 4 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 3))
(+.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 -883075145810703/5000000000000 (-.f64 4 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 -883075145810703/5000000000000 (-.f64 4 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) 1))
(+.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 -883075145810703/5000000000000 (-.f64 4 z)))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 -883075145810703/5000000000000 (pow.f64 (-.f64 4 z) -1) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (cbrt.f64 (/.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (-.f64 4 z) 2))) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(fma.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))

localize490.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000)
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
97.6%
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2))))
Compiler

Compiled 666 to 535 computations (19.7% saved)

series4.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000)
0.0ms
z
@0
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000)
0.0ms
z
@-inf
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000)

rewrite93.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1012×fma-def
714×expm1-udef
706×log1p-udef
484×fma-neg
402×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01655
139651
2589551
Stop Event
1×node limit
Counts
1 → 25
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000))) 1)
(/.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (-.f64 4 z)) (/.f64 (-.f64 3 z) 883075145810703/5000000000000))
(/.f64 883075145810703/5000000000000 (*.f64 (-.f64 3 z) (/.f64 (-.f64 4 z) (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)))))
(/.f64 1 (/.f64 (-.f64 3 z) (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z))))
(/.f64 (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z)) (-.f64 3 z))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z))) (neg.f64 (-.f64 3 z)))
(/.f64 (*.f64 883075145810703/5000000000000 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z))) (*.f64 (-.f64 3 z) (-.f64 4 z)))
(/.f64 (*.f64 883075145810703/5000000000000 (/.f64 (neg.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z))) (-.f64 4 z))) (neg.f64 (-.f64 3 z)))
(/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (*.f64 (-.f64 3 z) (-.f64 4 z)))
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z))) (-.f64 4 z)) 883075145810703/5000000000000) (neg.f64 (-.f64 3 z)))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z)) 1) (-.f64 3 z))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z)) (pow.f64 (cbrt.f64 (-.f64 3 z)) 2)) (cbrt.f64 (-.f64 3 z)))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z)) (sqrt.f64 (-.f64 3 z))) (sqrt.f64 (-.f64 3 z)))
(pow.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)) 2)
(sqrt.f64 (*.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 2)))
(log.f64 (pow.f64 (exp.f64 883075145810703/5000000000000) (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)))

simplify73.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1104×associate-*r/
1088×log-div
832×associate-*l/
776×log-prod
514×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01171663
13171635
211421571
366691571
Stop Event
1×node limit
Counts
37 → 54
Calls
Call 1
Inputs
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000))) 1)
(/.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (-.f64 4 z)) (/.f64 (-.f64 3 z) 883075145810703/5000000000000))
(/.f64 883075145810703/5000000000000 (*.f64 (-.f64 3 z) (/.f64 (-.f64 4 z) (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)))))
(/.f64 1 (/.f64 (-.f64 3 z) (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z))))
(/.f64 (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z)) (-.f64 3 z))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z))) (neg.f64 (-.f64 3 z)))
(/.f64 (*.f64 883075145810703/5000000000000 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z))) (*.f64 (-.f64 3 z) (-.f64 4 z)))
(/.f64 (*.f64 883075145810703/5000000000000 (/.f64 (neg.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z))) (-.f64 4 z))) (neg.f64 (-.f64 3 z)))
(/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (*.f64 (-.f64 3 z) (-.f64 4 z)))
(/.f64 (*.f64 (/.f64 (neg.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z))) (-.f64 4 z)) 883075145810703/5000000000000) (neg.f64 (-.f64 3 z)))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z)) 1) (-.f64 3 z))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z)) (pow.f64 (cbrt.f64 (-.f64 3 z)) 2)) (cbrt.f64 (-.f64 3 z)))
(/.f64 (/.f64 (/.f64 (*.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) 883075145810703/5000000000000) (-.f64 4 z)) (sqrt.f64 (-.f64 3 z))) (sqrt.f64 (-.f64 3 z)))
(pow.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)) 2)
(sqrt.f64 (*.f64 779821713148594364211109354209/25000000000000000000000000 (pow.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 2)))
(log.f64 (pow.f64 (exp.f64 883075145810703/5000000000000) (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)))
Outputs
12777243138120953/60000000000000
(+.f64 12777243138120953/60000000000000 (*.f64 53758197989915921/720000000000000 z))
(fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000)
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 53758197989915921/720000000000000 z)))
(+.f64 12777243138120953/60000000000000 (fma.f64 53758197989915921/720000000000000 z (*.f64 z (*.f64 z 222980468271960011/8640000000000000))))
(fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000))
(+.f64 12777243138120953/60000000000000 (+.f64 (*.f64 36630596080989161/4147200000000000 (pow.f64 z 3)) (+.f64 (*.f64 222980468271960011/8640000000000000 (pow.f64 z 2)) (*.f64 53758197989915921/720000000000000 z))))
(+.f64 12777243138120953/60000000000000 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 222980468271960011/8640000000000000 (*.f64 z z) (*.f64 53758197989915921/720000000000000 z))))
(+.f64 (fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (*.f64 z (*.f64 z 222980468271960011/8640000000000000))) (fma.f64 53758197989915921/720000000000000 z 12777243138120953/60000000000000))
(fma.f64 36630596080989161/4147200000000000 (pow.f64 z 3) (fma.f64 53758197989915921/720000000000000 z (fma.f64 z (*.f64 z 222980468271960011/8640000000000000) 12777243138120953/60000000000000)))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 47576671969241/80000000000 z) (+.f64 (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4)))))
(+.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3)))) (/.f64 -95223707106196353/10000000000000 (pow.f64 z 4)))
(/.f64 -47576671969241/80000000000 z)
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 47576671969241/80000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(neg.f64 (+.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3))))
(-.f64 (+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (/.f64 -47576671969241/80000000000 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))
(+.f64 (/.f64 -16075101696843969/10000000000000 (*.f64 z z)) (+.f64 (/.f64 -47576671969241/80000000000 z) (/.f64 -41160703924046283/10000000000000 (pow.f64 z 3))))
(neg.f64 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 95223707106196353/10000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 47576671969241/80000000000 (/.f64 1 z)) (*.f64 41160703924046283/10000000000000 (/.f64 1 (pow.f64 z 3)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 16075101696843969/10000000000000 (*.f64 z z)) (/.f64 95223707106196353/10000000000000 (pow.f64 z 4))) (+.f64 (/.f64 47576671969241/80000000000 z) (/.f64 41160703924046283/10000000000000 (pow.f64 z 3)))))
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(*.f64 (+.f64 z (-.f64 12777243138120953/883075145810703 (*.f64 z 7713234287776531/1766150291621406))) (/.f64 883075145810703/5000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))
(exp.f64 (log.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)))
(*.f64 (/.f64 (+.f64 (-.f64 15426468575553062/883075145810703 (fma.f64 z 7713234287776531/1766150291621406 3)) z) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)
(*.f64 (/.f64 (+.f64 z (-.f64 15426468575553062/883075145810703 (fma.f64 z 7713234287776531/1766150291621406 3))) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)
(*.f64 (+.f64 z (-.f64 12777243138120953/883075145810703 (*.f64 z 7713234287776531/1766150291621406))) (/.f64 883075145810703/5000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)) 1))
(*.f64 (/.f64 (+.f64 (-.f64 15426468575553062/883075145810703 (fma.f64 z 7713234287776531/1766150291621406 3)) z) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)
(*.f64 (/.f64 (+.f64 z (-.f64 15426468575553062/883075145810703 (fma.f64 z 7713234287776531/1766150291621406 3))) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)
(*.f64 (+.f64 z (-.f64 12777243138120953/883075145810703 (*.f64 z 7713234287776531/1766150291621406))) (/.f64 883075145810703/5000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (-.f64 15426468575553062/883075145810703 (-.f64 (fma.f64 z 7713234287776531/1766150291621406 3) z)) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)))
(*.f64 (/.f64 (+.f64 (-.f64 15426468575553062/883075145810703 (fma.f64 z 7713234287776531/1766150291621406 3)) z) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)
(*.f64 (/.f64 (+.f64 z (-.f64 15426468575553062/883075145810703 (fma.f64 z 7713234287776531/1766150291621406 3))) (*.f64 (-.f64 3 z) (-.f64 4 z))) 883075145810703/5000000000000)
(*.f64 (+.f64 z (-.f64 12777243138120953/883075145810703 (*.f64 z 7713234287776531/1766150291621406))) (/.f64 883075145810703/5000000000000 (*.f64 (-.f64 3 z) (-.f64 4 z))))

eval1.2s (1.3%)

Compiler

Compiled 78195 to 62485 computations (20.1% saved)

prune278.0ms (0.3%)

Pruning

43 alts after pruning (42 fresh and 1 done)

PrunedKeptTotal
New86521886
Fresh62127
Picked101
Done415
Total87643919
Accurracy
100.0%
Counts
919 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(*.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 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 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))))))
97.3%
(*.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 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
12.9%
(*.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 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
96.7%
(*.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 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957) (/.f64 (*.f64 (-.f64 1 z) (-.f64 2 z)) -21295833160343550136109053437957/25000000000000000000000000)) (+.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))))))))
96.7%
(*.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 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)))))
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 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (+.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))))))))
96.5%
(*.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 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
94.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 9999999999998099/10000000000000000)))))
94.3%
(*.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 469507597606837/10000000000000 (+.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))))))))
95.7%
(*.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 469507597606837/10000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 9999999999998099/10000000000000000)))))
94.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
✓97.8%
(*.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 -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))))))
▶98.1%
(*.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 (/.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))))))))
96.7%
(*.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 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))))))
96.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -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))))))
95.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
▶13.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
97.7%
(*.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)))))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
3.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
6.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (/.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))))))) (+.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)))))
4.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.8%
(*.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 (/.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 -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)))))
97.8%
(*.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 (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)))))
95.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 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)))))
▶96.8%
(*.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)))))
96.4%
(*.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)))))
▶98.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.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 -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)))))
95.3%
(*.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)))))
13.9%
(*.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 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
13.9%
(*.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 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (/.f64 1 z)))
13.9%
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 z)))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
5.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (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))))) z))))
13.9%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
13.9%
(*.f64 9999999999998099/10000000000000000 (*.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))))) z) (sqrt.f64 (PI.f64))))
13.9%
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
Compiler

Compiled 4915 to 4059 computations (17.4% saved)

localize465.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
✓98.5%
(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)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
Compiler

Compiled 561 to 436 computations (22.3% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@0
(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)))))
0.0ms
z
@-inf
(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)))))
0.0ms
z
@inf
(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)))))

rewrite71.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1498×log-prod
1020×pow-prod-down
738×pow-prod-up
688×pow-exp
524×expm1-udef
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01629
132929
2378029
Stop Event
1×node limit
Counts
1 → 54
Calls
Call 1
Inputs
(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 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 1)
(*.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (exp.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) 2) (*.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2))))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2))))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 4)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) 2))) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (exp.f64 (*.f64 (*.f64 3/2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3)) (exp.f64 (*.f64 (*.f64 3/2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3)))
(*.f64 (exp.f64 (*.f64 (fma.f64 2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1/3)) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 z)) (exp.f64 -15/2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) 2)) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (+.f64 z -15/2))) 1/2) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (cbrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (*.f64 (PI.f64) 2) 1/4)) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 2))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 6) 1/6)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3/2) 2/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.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 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)))
(exp.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 1))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3) 1))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (+.f64 z -15/2))) 1/2))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 2) 1/2))
(exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (+.f64 z -15/2))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))

simplify73.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1046×fma-def
662×distribute-lft-in
636×distribute-rgt-in
624×*-commutative
618×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01912512
14572418
214402308
354602300
Stop Event
1×node limit
Counts
66 → 90
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2)))) (sqrt.f64 (PI.f64)))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 1)
(*.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (exp.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) 2) (*.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2))))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2))))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 4)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) 2))) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (exp.f64 (*.f64 (*.f64 3/2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3)) (exp.f64 (*.f64 (*.f64 3/2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3)))
(*.f64 (exp.f64 (*.f64 (fma.f64 2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1/3)) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 z)) (exp.f64 -15/2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) 2)) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (+.f64 z -15/2))) 1/2) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (cbrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (*.f64 (PI.f64) 2) 1/4)) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 2))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 1/2)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 6) 1/6)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3/2) 2/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 2)
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.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 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)))
(exp.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 1))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 1) 1))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3) 1))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (+.f64 z -15/2))) 1/2))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 2) 1/2))
(exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (+.f64 z -15/2))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 3) 1/3))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 3))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 2))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
Outputs
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (PI.f64))))
(*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (+.f64 z 1) (exp.f64 -15/2))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64)))))
(fma.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)) (fma.f64 1/2 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 z z)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 z z) (sqrt.f64 (PI.f64)))) 1/2)))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (*.f64 (+.f64 z 1) (exp.f64 -15/2))) (*.f64 (sqrt.f64 2) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 z z))))))
(+.f64 (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))) (+.f64 (*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (sqrt.f64 (PI.f64)))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (pow.f64 z 2))) (sqrt.f64 (PI.f64)))) (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) z)) (sqrt.f64 (PI.f64))))))
(fma.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64)) (fma.f64 1/6 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (pow.f64 z 3)) (sqrt.f64 (PI.f64)))) (fma.f64 1/2 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (*.f64 z z)))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) z) (sqrt.f64 (PI.f64)))))))
(+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (pow.f64 z 3)))) (*.f64 (*.f64 1/2 (sqrt.f64 2)) (*.f64 (exp.f64 -15/2) (*.f64 z z))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (+.f64 (exp.f64 -15/2) (*.f64 (exp.f64 -15/2) z)))))
(*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (pow.f64 z 3))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 z z))))) (*.f64 (sqrt.f64 2) (*.f64 (+.f64 z 1) (exp.f64 -15/2)))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (sqrt.f64 2) (exp.f64 (-.f64 z 15/2))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 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 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 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 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 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 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 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 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 2 (PI.f64))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 2 (PI.f64))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 z) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) 2) (*.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2))))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (exp.f64 2) (+.f64 -15/2 z)))))
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) 1/4) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (fma.f64 2 z -15)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 2) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 2 (PI.f64)) (pow.f64 (exp.f64 2) (+.f64 -15/2 z))))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (*.f64 (exp.f64 (fma.f64 2 z -15)) (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (*.f64 (exp.f64 (fma.f64 2 z -15)) (pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 3))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (*.f64 (exp.f64 (fma.f64 2 z -15)) (pow.f64 (*.f64 2 (PI.f64)) 3/2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 4)) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (sqrt.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) 2))) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (exp.f64 (*.f64 (*.f64 3/2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3)) (exp.f64 (*.f64 (*.f64 3/2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (*.f64 (fma.f64 2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1/3)) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 2 (PI.f64)) (pow.f64 (exp.f64 2) (+.f64 -15/2 z))))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (*.f64 (exp.f64 (fma.f64 2 z -15)) (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (*.f64 (exp.f64 (fma.f64 2 z -15)) (pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 3))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 z))) (cbrt.f64 (*.f64 (exp.f64 (fma.f64 2 z -15)) (pow.f64 (*.f64 2 (PI.f64)) 3/2))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 z)) (exp.f64 -15/2))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 z -15/2))) 2)) (cbrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (+.f64 z -15/2))) 1/2) (sqrt.f64 (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 z))) (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (exp.f64 (+.f64 -15/2 z))))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (cbrt.f64 (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (+.f64 -15/2 z)) (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (pow.f64 (*.f64 (PI.f64) 2) 1/4)) (pow.f64 (*.f64 (PI.f64) 2) 1/4))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (PI.f64))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 (+.f64 -15/2 z))))
(*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))) 1/2)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 3)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 6) 1/6)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z))) 6) 1/6)
(pow.f64 (pow.f64 (*.f64 (*.f64 2 (PI.f64)) (exp.f64 (fma.f64 2 z -15))) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3/2) 2/3)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))) 2)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (exp.f64 (*.f64 2 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(fabs.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 1))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 1) 1))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1/3) 1))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (+.f64 z -15/2))) 1/2))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 2) 1/2))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (+.f64 z -15/2))) 1) 1/2))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (*.f64 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2)) 3) 1/3))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (*.f64 (*.f64 3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 1) 1/3))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (*.f64 1/3 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 3))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (*.f64 1/2 (fma.f64 1/2 (log.f64 (*.f64 (PI.f64) 2)) (+.f64 z -15/2))) 2))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 -15/2 z)))

localize74.0ms (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)

series5.0ms (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))))

rewrite87.0ms (0.1%)

Algorithm
1×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
1×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))))

simplify94.0ms (0.1%)

Algorithm
1×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
1×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))
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.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))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.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))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.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))
(*.f64 4103006302980662903082059/4200000000000000000000000 (/.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) z))
(*.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))
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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))
(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))

localize114.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.3%
(/.f64 (sqrt.f64 2) z)
✓98.4%
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
✓98.4%
(sqrt.f64 (PI.f64))
✓97.6%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
Compiler

Compiled 92 to 68 computations (26.1% saved)

series1.0ms (0%)

Counts
4 → 12
Calls

6 calls:

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

rewrite92.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1932×log-prod
776×expm1-udef
766×log1p-udef
456×fma-def
452×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02166
145666
2558366
Stop Event
1×node limit
Counts
4 → 98
Calls
Call 1
Inputs
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(/.f64 (sqrt.f64 2) z)
Outputs
(+.f64 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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 (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 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (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 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))
(exp.f64 (*.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))) 1)
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)) 2)
(sqrt.f64 (*.f64 (PI.f64) 99999999999961980000000003613801/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)))
(+.f64 0 (/.f64 (sqrt.f64 2) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 z))
(*.f64 (/.f64 (sqrt.f64 2) z) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) z))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (cbrt.f64 (/.f64 2 (*.f64 z z))))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (/.f64 (sqrt.f64 2) z)))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 z)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 2) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) z))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 z)))
(pow.f64 (/.f64 (sqrt.f64 2) z) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) 2)
(pow.f64 (/.f64 z (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)))
(sqrt.f64 (/.f64 2 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) z))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) z)))

simplify63.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1930×fma-def
1068×distribute-lft-in
1034×distribute-rgt-in
914×unswap-sqr
586×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03023022
16882806
223032740
Stop Event
1×node limit
Counts
110 → 136
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 0 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 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 (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 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (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 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))
(exp.f64 (*.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))) 1)
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)) 2)
(sqrt.f64 (*.f64 (PI.f64) 99999999999961980000000003613801/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)))
(+.f64 0 (/.f64 (sqrt.f64 2) z))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z))) 1)
(*.f64 (sqrt.f64 2) (/.f64 1 z))
(*.f64 (/.f64 (sqrt.f64 2) z) 1)
(*.f64 1 (/.f64 (sqrt.f64 2) z))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (cbrt.f64 (/.f64 2 (*.f64 z z))))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 z)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (/.f64 (sqrt.f64 2) z)))
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 z)))
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) (sqrt.f64 2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 2) (sqrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) z))
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 z)))
(pow.f64 (/.f64 (sqrt.f64 2) z) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) 2)
(pow.f64 (/.f64 z (sqrt.f64 2)) -1)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)))
(sqrt.f64 (/.f64 2 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) z))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3))
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) z)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) 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))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 (*.f64 (*.f64 (fma.f64 -1 (log.f64 15/2) 14/15) (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))))
(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 (exp.f64 -15/2) (sqrt.f64 15/2) (*.f64 z (+.f64 (*.f64 (*.f64 (fma.f64 -1 (log.f64 15/2) 14/15) (exp.f64 -15/2)) (sqrt.f64 15/2)) (*.f64 z (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (-.f64 -1/15 (log.f64 15/2)) 2) 29/225) (fma.f64 -1 (log.f64 15/2) 13/30)))))))
(+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) (pow.f64 z 2)) (*.f64 (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z (fma.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2))) (*.f64 z z) (*.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (+.f64 86/10125 (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (neg.f64 (log.f64 15/2)) 14/15)) z (fma.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (+.f64 (neg.f64 (log.f64 15/2)) 13/30))) (*.f64 z z) (*.f64 (+.f64 (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)) 1/2))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) 86/10125))))) (pow.f64 z 3)))))
(fma.f64 (exp.f64 -15/2) (sqrt.f64 15/2) (fma.f64 (*.f64 (*.f64 (fma.f64 -1 (log.f64 15/2) 14/15) (exp.f64 -15/2)) (sqrt.f64 15/2)) z (*.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 (exp.f64 -15/2) (*.f64 (*.f64 (sqrt.f64 15/2) (-.f64 -1/15 (log.f64 15/2))) 1/2))))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(*.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 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 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 (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 (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 (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 0 (*.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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.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 -15/2 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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (sqrt.f64 (-.f64 15/2 z))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) z) (sqrt.f64 (-.f64 15/2 z))))
(*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) z)) (sqrt.f64 (-.f64 15/2 z)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 15/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (-.f64 15/2 z) z))
(/.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 (pow.f64 (-.f64 15/2 z) z) (sqrt.f64 (-.f64 15/2 z))))
(*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) (pow.f64 (-.f64 15/2 z) z)) (sqrt.f64 (-.f64 15/2 z)))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(log.f64 (pow.f64 (exp.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 -15/2 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.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)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(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)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(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)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(expm1.f64 (log1p.f64 (*.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)))
(exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)) 1))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(log1p.f64 (expm1.f64 (*.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 0 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(*.f64 1 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (fabs.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (fabs.f64 (cbrt.f64 (PI.f64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(sqrt.f64 (PI.f64))
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(sqrt.f64 (PI.f64))
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(sqrt.f64 (PI.f64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(sqrt.f64 (PI.f64))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(sqrt.f64 (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(sqrt.f64 (PI.f64))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(+.f64 0 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))))
(fma.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(pow.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000) 1)
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)) 3)
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000) 3) 1/3)
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)) 2)
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(sqrt.f64 (*.f64 (PI.f64) 99999999999961980000000003613801/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))))
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000) 3))
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)) 1))
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)))
(*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000)
(+.f64 0 (/.f64 (sqrt.f64 2) z))
(/.f64 (sqrt.f64 2) z)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))))
(fma.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z))) 1)
(/.f64 (sqrt.f64 2) z)
(*.f64 (sqrt.f64 2) (/.f64 1 z))
(/.f64 (sqrt.f64 2) z)
(*.f64 (/.f64 (sqrt.f64 2) z) 1)
(/.f64 (sqrt.f64 2) z)
(*.f64 1 (/.f64 (sqrt.f64 2) z))
(/.f64 (sqrt.f64 2) z)
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (cbrt.f64 (/.f64 2 (*.f64 z z))))
(*.f64 (cbrt.f64 (/.f64 2 (*.f64 z z))) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (cbrt.f64 (/.f64 2 (*.f64 z z))))
(*.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 (sqrt.f64 2)) (/.f64 1 z)))
(*.f64 (cbrt.f64 2) (*.f64 (/.f64 1 z) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) (sqrt.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(*.f64 (pow.f64 2 1/4) (*.f64 (pow.f64 2 1/4) (/.f64 1 z)))
(/.f64 (sqrt.f64 2) z)
(*.f64 (neg.f64 (sqrt.f64 2)) (/.f64 1 (neg.f64 z)))
(/.f64 (sqrt.f64 2) z)
(*.f64 (/.f64 1 z) (sqrt.f64 2))
(/.f64 (sqrt.f64 2) z)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(*.f64 (/.f64 1 (sqrt.f64 z)) (/.f64 (sqrt.f64 2) (sqrt.f64 z)))
(/.f64 (sqrt.f64 2) z)
(*.f64 (/.f64 (cbrt.f64 2) 1) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(*.f64 (cbrt.f64 2) (*.f64 (/.f64 1 z) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(*.f64 (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 (/.f64 (sqrt.f64 2) z)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 z) 2)))
(*.f64 (/.f64 (cbrt.f64 2) (sqrt.f64 z)) (/.f64 (cbrt.f64 (sqrt.f64 2)) (sqrt.f64 z)))
(*.f64 (cbrt.f64 2) (*.f64 (/.f64 1 z) (cbrt.f64 (sqrt.f64 2))))
(*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 (sqrt.f64 2)) z))
(*.f64 (/.f64 (pow.f64 2 1/4) 1) (/.f64 (pow.f64 2 1/4) z))
(/.f64 (sqrt.f64 2) z)
(*.f64 (/.f64 (pow.f64 2 1/4) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (pow.f64 2 1/4) (cbrt.f64 z)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 z) 2)) (/.f64 (sqrt.f64 2) (cbrt.f64 z)))
(/.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2))
(pow.f64 (/.f64 (sqrt.f64 2) z) 1)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 2) z)) 3)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3) 1/3)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) z)) 2)
(/.f64 (sqrt.f64 2) z)
(pow.f64 (/.f64 z (sqrt.f64 2)) -1)
(/.f64 (sqrt.f64 2) z)
(neg.f64 (/.f64 (sqrt.f64 2) (neg.f64 z)))
(/.f64 (sqrt.f64 2) z)
(sqrt.f64 (/.f64 2 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 2) z))))
(/.f64 (sqrt.f64 2) z)
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 2) z) 3))
(/.f64 (sqrt.f64 2) z)
(cbrt.f64 (/.f64 (*.f64 2 (sqrt.f64 2)) (pow.f64 z 3)))
(/.f64 (sqrt.f64 2) z)
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(exp.f64 (log.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 2) z)) 1))
(/.f64 (sqrt.f64 2) z)
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 2) z)))
(/.f64 (sqrt.f64 2) z)

localize267.0ms (0.3%)

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))
97.6%
(*.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
1.0ms
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)))))

rewrite79.0ms (0.1%)

Algorithm
1×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
1×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))))))))

simplify76.0ms (0.1%)

Algorithm
1×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
1×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))))
(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (+.f64 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)) (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (exp.f64 -15/2)))) (sqrt.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (+.f64 (*.f64 (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))))))
(*.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 (*.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)))))
(+.f64 (*.f64 39321001939258358983/90000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) z))) (+.f64 (*.f64 7902188421553103227/30000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 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))))))
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(*.f64 2943194126470171931171/5400000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))))
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(+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))) z)) (+.f64 (*.f64 7902188421553103227/30000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2))))) (+.f64 (*.f64 39321001939258358983/90000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 z (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))) (*.f64 2943194126470171931171/5400000000000000000 (*.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 z) 15/2))) (*.f64 (pow.f64 z 2) (exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 -1 z) 15/2)) (+.f64 (*.f64 -1 z) 1/2)))))))))
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z)))
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))))
(*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2))
(+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))))
(*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2))
(+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (+.f64 (*.f64 2943194126470171931171/5400000000000000000 (pow.f64 z 2)) (*.f64 39321001939258358983/90000000000000000 z))))
(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))))))))
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))))
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(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)))

localize409.0ms (0.5%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓98.5%
(+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
98.5%
(+.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))
97.6%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
Compiler

Compiled 547 to 418 computations (23.6% saved)

series1.0ms (0%)

Counts
1 → 12
Calls

3 calls:

TimeVariablePointExpression
0.0ms
z
@inf
(+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
0.0ms
z
@0
(+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
0.0ms
z
@-inf
(+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))

rewrite75.0ms (0.1%)

Algorithm
1×batch-egg-rewrite
Rules
1092×add-cbrt-cube
1092×add-cube-cbrt
1090×add-exp-log
1090×add-log-exp
1090×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044145
11117145
Stop Event
1×node limit
Counts
1 → 11
Calls
Call 1
Inputs
(+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
Outputs
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (+.f64 (pow.f64 (+.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))))))) 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 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 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 (+.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 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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (-.f64 (*.f64 (+.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 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 (/.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 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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) 1)
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simplify77.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1408×associate-+l+
1346×exp-sum
1042×associate-+r+
702×fma-def
646×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01042569
12762561
212582221
366012221
Stop Event
1×node limit
Counts
23 → 43
Calls
Call 1
Inputs
1106209385320415913103082059/4200000000000000000000000
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(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
Outputs
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000)
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(fma.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z z) (fma.f64 102757979785251069442117317613/235200000000000000000000000 z 1106209385320415913103082059/4200000000000000000000000))
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(cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
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eval734.0ms (0.8%)

Compiler

Compiled 49481 to 38024 computations (23.2% saved)

prune347.0ms (0.4%)

Pruning

52 alts after pruning (50 fresh and 2 done)

PrunedKeptTotal
New73923762
Fresh102737
Picked101
Done325
Total75352805
Accurracy
100.0%
Counts
805 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
13.9%
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 4103006302980662903082059/4200000000000000000000000) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
98.0%
(*.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 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 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))))))
97.3%
(*.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 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
12.9%
(*.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 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
96.7%
(*.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 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957) (/.f64 (*.f64 (-.f64 1 z) (-.f64 2 z)) -21295833160343550136109053437957/25000000000000000000000000)) (+.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))))))))
96.7%
(*.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 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)))))
96.5%
(*.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 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))))
94.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 9999999999998099/10000000000000000)))))
94.3%
(*.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 469507597606837/10000000000000 (+.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))))))))
95.7%
(*.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 469507597606837/10000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 9999999999998099/10000000000000000)))))
94.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
98.1%
(*.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 (/.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 (pow.f64 (*.f64 (PI.f64) 2) 1/4) (sqrt.f64 (*.f64 (exp.f64 (*.f64 2 (+.f64 z -15/2))) (sqrt.f64 (*.f64 (PI.f64) 2))))))))
✓97.8%
(*.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.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)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 2)) (*.f64 2 (+.f64 z -15/2))) 1/2)))))
96.7%
(*.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 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))))))
96.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -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))))))
95.1%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
✓13.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
13.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 9999999999998099/10000000000000000))
13.9%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
14.7%
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
13.9%
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
97.7%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.7%
(*.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 15/2) (/.f64 (exp.f64 -15/2) z)) (*.f64 4103006302980662903082059/4200000000000000000000000 (sqrt.f64 (*.f64 2 (PI.f64)))))
3.6%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
6.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (+.f64 (+.f64 (/.f64 6868447169803563/40000000000000 (*.f64 z z)) (/.f64 -4919378858736341/200000000000000 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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)))))
97.8%
(*.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 (/.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 -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)))))
97.8%
(*.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 (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)))))
96.8%
(*.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)))))
95.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 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)))))
98.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.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 -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)))))
96.3%
(*.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)))))
6.3%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (-.f64 (/.f64 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 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 (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 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
13.9%
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 z)))
97.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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)))))
95.4%
(*.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)))))
94.7%
(*.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 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
13.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
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))))
5.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
13.9%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
13.9%
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
5.8%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
5.8%
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
Compiler

Compiled 7687 to 6061 computations (21.2% saved)

regimes191.0ms (0.2%)

Counts
92 → 1
Calls
Call 1
Inputs
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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 (/.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 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))))))
Calls

2 calls:

39.0ms
(*.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)))))
38.0ms
z
Results
AccuracySegmentsBranch
98.1%1z
98.1%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
Compiler

Compiled 5287 to 4087 computations (22.7% saved)

regimes172.0ms (0.2%)

Counts
89 → 1
Calls
Call 1
Inputs
(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))))
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(*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(*.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)
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
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(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
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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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (/.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 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 (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 2 z) (-.f64 -12591392167224028/6765203681218851 (/.f64 z -6765203681218851/12591392167224028))) (-.f64 2 z)) (-.f64 10000000000000/6765203681218851 (/.f64 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))))))))
Calls

2 calls:

38.0ms
(*.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)))))
34.0ms
z
Results
AccuracySegmentsBranch
98.1%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
98.1%1z
Compiler

Compiled 4984 to 3846 computations (22.8% saved)

regimes105.0ms (0.1%)

Counts
80 → 1
Calls
Call 1
Inputs
(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)))))
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(*.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 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(*.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)
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(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
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(*.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 469507597606837/10000000000000 (*.f64 z 904338909853211/2500000000000)) (*.f64 (/.f64 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.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))))))))
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(*.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 -14565471215012942500000000000/21295833160343550136109053437957 z) 2347537988034185000000000000/21295833160343550136109053437957) (/.f64 (*.f64 (-.f64 1 z) (-.f64 2 z)) -21295833160343550136109053437957/25000000000000000000000000)) (+.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))))))))
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Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.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 -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:

32.0ms
z
Results
AccuracySegmentsBranch
98.0%1z
Compiler

Compiled 3936 to 3004 computations (23.7% saved)

regimes62.0ms (0.1%)

Counts
58 → 1
Calls
Call 1
Inputs
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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)) 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))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6868447169803563/40000000000000 (*.f64 z z))) (/.f64 4919378858736341/200000000000000 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (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 469507597606837/10000000000000 (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 9999999999998099/10000000000000000)))))
(*.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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (+.f64 12777243138120953/60000000000000 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 9999999999998099/10000000000000000)))))
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(*.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 -883075145810703/5000000000000 (-.f64 4 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 469507597606837/10000000000000 (+.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))))))))
(*.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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 1 z)))) (+.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))))) 9999999999998099/10000000000000000)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.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 (/.f64 (-.f64 (-.f64 15426468575553062/883075145810703 (/.f64 z 1766150291621406/7713234287776531)) (-.f64 3 z)) (-.f64 4 z)) (-.f64 3 z)) 883075145810703/5000000000000))) (+.f64 (*.f64 350291408665333106351952839/705600000000000000000000000 z) 10409174657078461523082059/4200000000000000000000000)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 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:

24.0ms
z
Results
AccuracySegmentsBranch
96.8%1z
Compiler

Compiled 2088 to 1559 computations (25.3% saved)

regimes41.0ms (0%)

Counts
42 → 1
Calls
Call 1
Inputs
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(sqrt.f64 (*.f64 (PI.f64) (*.f64 15 (*.f64 (pow.f64 z -2) (*.f64 (exp.f64 -15) 16834660722299047347928306329752967843321287679481/17640000000000000000000000000000000000000000000000)))))
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(*.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 (/.f64 (*.f64 4103006302980662903082059/4200000000000000000000000 (exp.f64 -15/2)) z) (sqrt.f64 15/2)))
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(*.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 9999999999998099/10000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 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 1 z)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 9999999999998099/10000000000000000))
(*.f64 9999999999998099/10000000000000000 (*.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))))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (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))))) 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 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (/.f64 1 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 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
(*.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 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.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 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 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 (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 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 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)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

17.0ms
z
Results
AccuracySegmentsBranch
96.4%1z
Compiler

Compiled 1119 to 837 computations (25.2% saved)

regimes38.0ms (0%)

Counts
40 → 1
Calls
Call 1
Inputs
(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 (*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(*.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 9999999999998099/10000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 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 1 z)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(*.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 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 1078390842009938509147167/6250000000000000000000 (*.f64 z z)) (/.f64 611458333333720910362579/25000000000000000000000 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 (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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.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:

16.0ms
z
Results
AccuracySegmentsBranch
96.3%1z
Compiler

Compiled 1019 to 769 computations (24.5% saved)

regimes30.0ms (0%)

Counts
33 → 1
Calls
Call 1
Inputs
(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 (*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(*.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 9999999999998099/10000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 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 1 z)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 9999999999998099/10000000000000000))
(*.f64 9999999999998099/10000000000000000 (*.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))))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (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))))) 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 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (/.f64 1 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 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
(*.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 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (/.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 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
Outputs
(*.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)))))
Calls

1 calls:

14.0ms
z
Results
AccuracySegmentsBranch
95.4%1z
Compiler

Compiled 732 to 579 computations (20.9% saved)

regimes29.0ms (0%)

Counts
31 → 1
Calls
Call 1
Inputs
(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 (*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(*.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 9999999999998099/10000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 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 1 z)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 9999999999998099/10000000000000000))
(*.f64 9999999999998099/10000000000000000 (*.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))))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (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))))) 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 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (/.f64 1 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 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
(*.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)))))
Outputs
(*.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)))))
Calls

1 calls:

13.0ms
z
Results
AccuracySegmentsBranch
94.7%1z
Compiler

Compiled 694 to 555 computations (20% saved)

regimes28.0ms (0%)

Counts
30 → 1
Calls
Call 1
Inputs
(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 (*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(*.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 9999999999998099/10000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 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 1 z)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3/2)) 9999999999998099/10000000000000000))
(*.f64 9999999999998099/10000000000000000 (*.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))))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (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))))) 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 (+.f64 (*.f64 z (fma.f64 -1 (log.f64 15/2) 14/15)) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (/.f64 1 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 (*.f64 1/6 (*.f64 z (pow.f64 (PI.f64) 2))) (/.f64 1 z))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
Calls

1 calls:

13.0ms
z
Results
AccuracySegmentsBranch
14.7%1z
Compiler

Compiled 675 to 540 computations (20% saved)

regimes21.0ms (0%)

Counts
24 → 1
Calls
Call 1
Inputs
(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 (*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(*.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 9999999999998099/10000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 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 1 z)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 2) (exp.f64 -15/2))) z) (*.f64 (sqrt.f64 (PI.f64)) 4103006302980662903082059/4200000000000000000000000))
(*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 9999999999998099/10000000000000000 (sqrt.f64 2)) (/.f64 (/.f64 z (exp.f64 (+.f64 -15/2 z))) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (*.f64 (/.f64 1 z) (sqrt.f64 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (log1p.f64 (expm1.f64 (/.f64 (exp.f64 -15/2) z))) (sqrt.f64 15/2))))
Outputs
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
Calls

1 calls:

10.0ms
z
Results
AccuracySegmentsBranch
13.9%1z
Compiler

Compiled 460 to 370 computations (19.6% saved)

regimes15.0ms (0%)

Counts
17 → 1
Calls
Call 1
Inputs
(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 (*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(*.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 9999999999998099/10000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 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 1 z)))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (/.f64 z (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
Outputs
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 z)))
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
13.9%1z
Compiler

Compiled 324 to 266 computations (17.9% saved)

regimes12.0ms (0%)

Counts
13 → 1
Calls
Call 1
Inputs
(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 (*.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 (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))
(*.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 9999999999998099/10000000000000000 (*.f64 (/.f64 (exp.f64 (+.f64 -15/2 z)) z) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 9999999999998099/10000000000000000 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (/.f64 z (exp.f64 (+.f64 -15/2 z)))) (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) 9999999999998099/10000000000000000)))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
Calls

1 calls:

6.0ms
z
Results
AccuracySegmentsBranch
13.9%1z
Compiler

Compiled 217 to 178 computations (18% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
5.8%1z
Compiler

Compiled 29 to 25 computations (13.8% saved)

simplify351.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1402×distribute-lft-neg-in
1340×unsub-neg
960×neg-mul-1
768×neg-sub0
670×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02271781
13751769
24541769
35651765
46861765
57871765
69991765
712051765
813101765
914781765
1017481765
1120921765
1224391765
1328281765
1432091765
1535841765
1638911765
1741521765
1842701765
1943661765
2045311765
2146951765
2247641765
2348241765
2448771765
2549181765
2649511765
2749851765
2849951765
2949971765
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.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 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 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 (+.f64 (-.f64 2 z) (-.f64 -12591392167224028/6765203681218851 (/.f64 z -6765203681218851/12591392167224028))) (-.f64 2 z)) (-.f64 10000000000000/6765203681218851 (/.f64 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))))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.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 -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 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 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 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 (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 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (sqrt.f64 (PI.f64)) 9999999999998099/10000000000000000))
(*.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 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 1 z)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 4103006302980662903082059/4200000000000000000000000 (*.f64 (/.f64 (exp.f64 -15/2) z) (sqrt.f64 15/2))))
(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
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 (/.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 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 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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000)))) (+.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 -1/2 (-.f64 (-.f64 1 z) -6))))) (+.f64 (+.f64 (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000)))) (+.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 (+.f64 -6 (+.f64 z -1)) -1/2)))) (+.f64 (+.f64 (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 -2500000000000/3147848041806007 (/.f64 (+.f64 z -1) -3147848041806007/2500000000000)))) (+.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 (+.f64 -6 (+.f64 z -1)) -1/2)))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (+.f64 -2500000000000/3147848041806007 (/.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (-.f64 99999999999961980000000003613801/100000000000000000000000000000000 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (pow.f64 (-.f64 1 z) 2))))) (*.f64 (-.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 -2500000000000/3147848041806007 (/.f64 (-.f64 1 z) -3147848041806007/2500000000000)))) (+.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 (+.f64 (-.f64 2 z) (-.f64 -12591392167224028/6765203681218851 (/.f64 z -6765203681218851/12591392167224028))) (-.f64 2 z)) (-.f64 10000000000000/6765203681218851 (/.f64 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))))))))
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(*.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) (+.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 7902188421553103227/30000000000000000 (*.f64 z (+.f64 39321001939258358983/90000000000000000 (*.f64 z 2943194126470171931171/5400000000000000000))))))))
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(*.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 -15/2 (neg.f64 z)))))))
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(*.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)))))
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(sqrt.f64 (*.f64 2 (*.f64 (PI.f64) (*.f64 (*.f64 (exp.f64 -15) (pow.f64 z -2)) 16834660722299047347928306329752967843321287679481/2352000000000000000000000000000000000000000000000))))
Compiler

Compiled 577 to 485 computations (15.9% saved)

soundness1.7s (1.9%)

Rules
1932×log-prod
1892×fma-neg
1892×fma-neg
1892×fma-neg
1722×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064311
1163293
2641237
34401229
030119
1727115
064311
1163293
2641237
34401229
02385918
17235646
229195120
01883
136783
2426383
02543387
15803271
219623137
372413137
02385918
17235646
229195120
02166
145666
2558366
02534105
17183965
229903615
371733615
02093997
16553731
228933239
02093997
16553731
228933239
02534105
17183965
229903615
371733615
044196
11057196
02534105
17183965
229903615
371733615
064311
1163293
2641237
34401229
029137
1711133
04897203
113715881
243365843
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 4255 to 3432 computations (19.3% saved)

end284.0ms (0.3%)

Compiler

Compiled 1378 to 1098 computations (20.3% saved)

Profiling

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