Jmat.Real.gamma, branch z less than 0.5

Details

Time bar (total: 1.4min)

analyze691.0ms (0.8%)

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

Compiled 127 to 112 computations (11.8% saved)

sample58.0s (70.3%)

Results
52.9s3872×body8192exit
5.0s8160×body256valid
46.0ms95×body256unsamplable
45.0ms96×body256infinite
Bogosity

preprocess54.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 125 to 111 computations (11.2% saved)

simplify49.0ms (0.1%)

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

Useful iterations: 3 (0.0ms)

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

eval7.0ms (0%)

Compiler

Compiled 470 to 383 computations (18.5% saved)

prune55.0ms (0.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New055
Fresh011
Picked000
Done000
Total066
Accurracy
99.0%
Counts
6 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(*.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)))))
98.6%
(*.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))))))
97.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.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))))))))
98.3%
(*.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)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
98.3%
(*.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 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.6%
(*.f64 (/.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)))))
98.6%
(*.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))))))
97.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.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))))))))
98.3%
(*.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)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
98.3%
(*.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 (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 1896 to 1612 computations (15% saved)

localize5.4s (6.6%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
8.6%
(-.f64 (-.f64 1 z) 1)
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)))
97.8%
(*.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))))
98.5%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
98.5%
(+.f64 (/.f64 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))
97.8%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.8%
(*.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)))
8.6%
(+.f64 (-.f64 1 z) -1)
Compiler

Compiled 3167 to 2626 computations (17.1% saved)

series16.0ms (0%)

Counts
20 → 180
Calls

45 calls:

TimeVariablePointExpression
1.0ms
z
@inf
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
1.0ms
z
@0
(*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
1.0ms
z
@inf
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
1.0ms
z
@0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
1.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))

rewrite155.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
572×cbrt-prod
526×unpow-prod-down
474×fma-def
442×log-prod
420×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0112774
12919696
Stop Event
node limit
Counts
20 → 456
Calls
Call 1
Inputs
(+.f64 (-.f64 1 z) -1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(*.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 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 (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)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))
(-.f64 (-.f64 1 z) 1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
(sqrt.f64 (*.f64 (PI.f64) 2))
Outputs
(-.f64 1 (+.f64 z 1))
(-.f64 (-.f64 1 z) 1)
(-.f64 0 z)
(*.f64 1 (neg.f64 z))
(*.f64 -1 z)
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) 1) (pow.f64 (cbrt.f64 (neg.f64 z)) 1))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 z)) 1) (pow.f64 (sqrt.f64 (neg.f64 z)) 1))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 z) 2)) (cbrt.f64 (neg.f64 z)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 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 2 z))
(pow.f64 (neg.f64 z) 1)
(pow.f64 (cbrt.f64 (neg.f64 z)) 3)
(pow.f64 (sqrt.f64 (neg.f64 z)) 2)
(pow.f64 (pow.f64 (neg.f64 z) 3) 1/3)
(neg.f64 z)
(log.f64 (exp.f64 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))
(cbrt.f64 (pow.f64 (neg.f64 z) 3))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) 1) (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
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(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.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 2 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.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 2 z)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 2)
(log.f64 (pow.f64 (exp.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1) (pow.f64 (sqrt.f64 2) 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))

simplify214.0ms (0.3%)

Algorithm
egg-herbie
Rules
1044×fma-def
956×associate-*r*
576×sqr-pow
508×distribute-rgt-in
474×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
098325526
1253224376
Stop Event
node limit
Counts
636 → 541
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))))
-175036605963169168476917941/4200000000000000000000000
(-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (*.f64 -7438431377385067353648047161/705600000000000000000000000 z)) 175036605963169168476917941/4200000000000000000000000)
(-.f64 (+.f64 (*.f64 -315341357520700009111955479981/118540800000000000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) (*.f64 -13342905177403410807236385630001/19914854400000000000000000000000 (pow.f64 z 3)))) 175036605963169168476917941/4200000000000000000000000)
(/.f64 4106156171094664089637421/25000000000000000000000 z)
(+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 61061698821196059503512813/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))))
(/.f64 4106156171094664089637421/25000000000000000000000 z)
(+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))
(+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z))))
(+.f64 (*.f64 15738405907415525446283611/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 61061698821196059503512813/6250000000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 4029717223322681009147167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 4106156171094664089637421/25000000000000000000000 (/.f64 1 z)))))
(*.f64 (*.f64 (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)))
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (*.f64 446800080651085577/900000000000000000 z)))
(+.f64 371756020978964147/150000000000000000 (+.f64 (*.f64 536852952257631293/5400000000000000000 (pow.f64 z 2)) (+.f64 (*.f64 446800080651085577/900000000000000000 z) (*.f64 3224581990927430761/162000000000000000000 (pow.f64 z 3)))))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))))
(/.f64 -154609652292764811/12500000000000000 z)
(neg.f64 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))
(neg.f64 (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z)))))
(neg.f64 (+.f64 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 (pow.f64 z 2))) (*.f64 154609652292764811/12500000000000000 (/.f64 1 z))))))
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(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 -883075145810703/5000000000000 (/.f64 1 (+.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 (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)))
(+.f64 (-.f64 1 z) -1)
(+.f64 -1 (-.f64 1 z))
(*.f64 1 (neg.f64 z))
(*.f64 -1 z)
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 z)) 2) 1) (pow.f64 (cbrt.f64 (neg.f64 z)) 1))
(*.f64 (pow.f64 (sqrt.f64 (neg.f64 z)) 1) (pow.f64 (sqrt.f64 (neg.f64 z)) 1))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 z) 2)) (cbrt.f64 (neg.f64 z)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (+.f64 (pow.f64 (-.f64 1 z) 2) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 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 2 z))
(pow.f64 (neg.f64 z) 1)
(pow.f64 (cbrt.f64 (neg.f64 z)) 3)
(pow.f64 (sqrt.f64 (neg.f64 z)) 2)
(pow.f64 (pow.f64 (neg.f64 z) 3) 1/3)
(neg.f64 z)
(log.f64 (exp.f64 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))
(cbrt.f64 (pow.f64 (neg.f64 z) 3))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (neg.f64 z)) 1))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 z)) 2) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(*.f64 1 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) 1) (pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1) (pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2)) (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (+.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (-.f64 (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2) (*.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 2) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 2)) (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2)
(log.f64 (exp.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(fma.f64 1 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.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 2 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.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 2 z)))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 2)
(log.f64 (pow.f64 (exp.f64 (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 1) (pow.f64 (sqrt.f64 2) 1))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
Outputs
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
(*.f64 -1 z)
(neg.f64 z)
479507597606835099/10000000000000000
(+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))
(fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000)))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000))
(+.f64 (*.f64 2076511864126339/4000000000000 (pow.f64 z 2)) (+.f64 (*.f64 23912966683069397/40000000000000 (pow.f64 z 3)) (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (+.f64 479507597606835099/10000000000000000 (*.f64 z 904338909853211/2500000000000))))
(fma.f64 2076511864126339/4000000000000 (*.f64 z z) (fma.f64 23912966683069397/40000000000000 (pow.f64 z 3) (fma.f64 z 904338909853211/2500000000000 479507597606835099/10000000000000000)))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z)) (/.f64 3683516130645841/2000000000000 (*.f64 z z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 3683516130645841/2000000000000 (*.f64 z z))))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))))))
(+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 5826188486005177/10000000000000 z) (+.f64 (/.f64 3683516130645841/2000000000000 (*.f64 z z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 3)))))
9999999999998099/10000000000000000
(+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))
(+.f64 9999999999998099/10000000000000000 (/.f64 5826188486005177/10000000000000 z))
(+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z))))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
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(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 9999999999998099/10000000000000000)
(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 2 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) 2) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(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 2 z)))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(fma.f64 (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (sqrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))) 1)
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 1)
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3) 1/3)
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
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(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
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(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
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(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))
(exp.f64 (*.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))) 1))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (neg.f64 (-.f64 15/2 z)))) (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (sqrt.f64 (*.f64 2 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
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(sqrt.f64 (*.f64 2 (PI.f64)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (*.f64 2 (PI.f64))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
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(*.f64 (sqrt.f64 2) (sqrt.f64 (PI.f64)))
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(sqrt.f64 (*.f64 2 (PI.f64)))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 2 (PI.f64))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (cbrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (*.f64 (PI.f64) 2) 1/2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) 1)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 3)
(sqrt.f64 (*.f64 2 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 2)
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 2) 3/2))
(cbrt.f64 (pow.f64 (*.f64 2 (PI.f64)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 2)) 1/2))
(sqrt.f64 (*.f64 2 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) 1))
(sqrt.f64 (*.f64 2 (PI.f64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 2 (PI.f64)))

eval904.0ms (1.1%)

Compiler

Compiled 64473 to 51432 computations (20.2% saved)

prune244.0ms (0.3%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New65324677
Fresh000
Picked235
Done000
Total65527682
Accurracy
99.9%
Counts
682 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3)) (+.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))))))
98.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
98.6%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
96.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))))
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))) (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 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.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 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 -883075145810703/5000000000000 (-.f64 3 z))) (*.f64 (-.f64 3 z) (-.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))))))))
97.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.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))))))))
98.2%
(*.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 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))))))))
97.4%
(*.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))))))))
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 z 904338909853211/2500000000000) 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))))))))
95.8%
(*.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 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))))))))
98.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2))))))
97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))))
98.3%
(*.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)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
98.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
98.0%
(*.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 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.3%
(*.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)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
98.3%
(*.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 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.1%
(*.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)))))
98.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.5%
(*.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)))))
97.2%
(*.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)))))
96.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3)) (+.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))))))
98.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
98.6%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
96.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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))))))))
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))) (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 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
97.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.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 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 -883075145810703/5000000000000 (-.f64 3 z))) (*.f64 (-.f64 3 z) (-.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))))))))
97.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (neg.f64 (+.f64 (-.f64 1 z) 13/2)))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.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))))))))
98.2%
(*.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 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))))))))
97.4%
(*.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))))))))
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 z 904338909853211/2500000000000) 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))))))))
95.8%
(*.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 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))))))))
98.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2))))))
97.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))))
98.3%
(*.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)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
98.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.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 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
98.0%
(*.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 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.3%
(*.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)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
98.3%
(*.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 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.1%
(*.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)))))
98.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.5%
(*.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)))))
97.2%
(*.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)))))
Compiler

Compiled 7904 to 6586 computations (16.7% saved)

localize1.8s (2.2%)

Local Accuracy

Found 20 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 (PI.f64))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
97.8%
(*.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))))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)))
97.8%
(*.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))))
98.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2)))
98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
98.5%
(+.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.5%
(*.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)))))
98.5%
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.8%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 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))))))
98.5%
(+.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))
97.5%
(exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))
Compiler

Compiled 2394 to 1904 computations (20.5% saved)

series7.0ms (0%)

Counts
9 → 96
Calls

24 calls:

TimeVariablePointExpression
1.0ms
z
@0
(*.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)))))
1.0ms
z
@-inf
(*.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)))))
1.0ms
z
@0
(exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))
1.0ms
z
@inf
(*.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)))))
0.0ms
z
@inf
(exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))

rewrite99.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1492×add-exp-log
1492×pow1
1490×add-log-exp
1482×log1p-expm1-u
1482×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066453
11592453
Stop Event
node limit
Counts
9 → 83
Calls
Call 1
Inputs
(exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))
(*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.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 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(*.f64 (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 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(*.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))))
(sqrt.f64 (PI.f64))
Outputs
(*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
(*.f64 (exp.f64 (-.f64 -15/2 (neg.f64 z))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))
(*.f64 1 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(pow.f64 (*.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 (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 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 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 (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 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))))
(*.f64 1 (+.f64 7902188421553103227/30000000000000000 (+.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 -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 -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 -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 -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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(/.f64 (+.f64 493448851681645071244654587925452777567818866739274158083/27000000000000000000000000000000000000000000000000 (pow.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) 3)) (+.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (-.f64 (*.f64 (+.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 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))))
(/.f64 (-.f64 62444581849727925073340192313717813529/900000000000000000000000000000000 (*.f64 (+.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 7902188421553103227/30000000000000000 (+.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 -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 -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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (+.f64 7902188421553103227/30000000000000000 (+.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 -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 -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 -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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))))))
(pow.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 (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 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 (fma.f64 -1 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 -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 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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))) (*.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 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z)))))))
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(*.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000) 3) (pow.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) 3)) (+.f64 (*.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (-.f64 (*.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))) (*.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (*.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)))) (-.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
(pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(exp.f64 (log.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(*.f64 1 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
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(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) 3)) (+.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))))
(/.f64 (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(pow.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
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(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
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(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
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(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5))) (*.f64 (+.f64 4 (-.f64 1 z)) -3464277381643003/25000000000000000)) (*.f64 (+.f64 4 (-.f64 1 z)) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) 3)) (+.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z)))) (-.f64 (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (*.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))
(/.f64 (-.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z)))) (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (-.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
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(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))

simplify162.0ms (0.2%)

Algorithm
egg-herbie
Rules
1304×times-frac
846×fma-def
726×associate-*r*
698×associate-*l*
538×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051110121
115289489
264319451
Stop Event
node limit
Counts
179 → 236
Calls
Call 1
Inputs
(exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2))
(+.f64 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)))
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(pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(exp.f64 (log.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(*.f64 1 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (cbrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (sqrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) 3)) (+.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))))
(/.f64 (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000))))
(pow.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))) (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) 371756020978964147/150000000000000000)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(/.f64 (+.f64 (*.f64 2501468655737381/200000000000000 (-.f64 1 (-.f64 z 5))) (*.f64 (+.f64 4 (-.f64 1 z)) -3464277381643003/25000000000000000)) (*.f64 (+.f64 4 (-.f64 1 z)) (-.f64 1 (-.f64 z 5))))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) 3) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) 3)) (+.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z)))) (-.f64 (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (*.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))))
(/.f64 (-.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z)))) (*.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (-.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
Outputs
(exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2))
(exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))
(*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)))
(fma.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) z) (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)))
(fma.f64 (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (-.f64 14/15 (log.f64 15/2))) z (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)))
(fma.f64 (-.f64 14/15 (log.f64 15/2)) (*.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 2))) (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2))))
(fma.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) z) (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) 2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 z z)) (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))))
(fma.f64 (-.f64 14/15 (log.f64 15/2)) (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) z) (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2) 29/225) (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 z z)) (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2))))
(fma.f64 (-.f64 14/15 (log.f64 15/2)) (*.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2) 29/225) (*.f64 (*.f64 z z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (*.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) z)) (+.f64 (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 2))) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (pow.f64 z 2))) (+.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2)) (*.f64 (pow.f64 z 3) (+.f64 86/10125 (+.f64 (*.f64 29/225 (+.f64 14/15 (*.f64 -1 (log.f64 15/2)))) (*.f64 1/6 (pow.f64 (+.f64 14/15 (*.f64 -1 (log.f64 15/2))) 3)))))))))
(fma.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) z) (+.f64 (fma.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) 2))) (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (*.f64 z z)) (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2))) (*.f64 (*.f64 (exp.f64 (fma.f64 1/2 (log.f64 15/2) -15/2)) (pow.f64 z 3)) (+.f64 86/10125 (fma.f64 29/225 (+.f64 14/15 (neg.f64 (log.f64 15/2))) (*.f64 1/6 (pow.f64 (+.f64 14/15 (neg.f64 (log.f64 15/2))) 3)))))))
(fma.f64 (-.f64 14/15 (log.f64 15/2)) (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) z) (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2) 29/225) (*.f64 (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)) (*.f64 z z)) (*.f64 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 3)) (+.f64 1304/10125 (*.f64 (log.f64 15/2) -29/225)))) 1) (*.f64 (pow.f64 15/2 1/2) (exp.f64 -15/2)))))
(fma.f64 (-.f64 14/15 (log.f64 15/2)) (*.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (fma.f64 (fma.f64 1/2 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 2) 29/225) (*.f64 (*.f64 z z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (+.f64 (*.f64 (pow.f64 z 3) (+.f64 (*.f64 1/6 (pow.f64 (-.f64 14/15 (log.f64 15/2)) 3)) (+.f64 1304/10125 (*.f64 (log.f64 15/2) -29/225)))) 1) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(exp.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2))) z) 15/2))
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))
(exp.f64 (-.f64 (+.f64 (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2))) z) 15/2))
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(/.f64 (-.f64 (/.f64 (/.f64 6257345435636579942128840739161/40000000000000000000000000000 (-.f64 5 z)) (-.f64 5 z)) (/.f64 (/.f64 12001217776963300659043738858009/625000000000000000000000000000000 (+.f64 (-.f64 1 z) 5)) (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) 1)
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5)))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))) (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 1 (-.f64 z 5))))))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(pow.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) 1)
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))) (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))))
(*.f64 (pow.f64 (+.f64 (-.f64 1 z) 13/2) (-.f64 1 (-.f64 z -1/2))) (exp.f64 (+.f64 (neg.f64 (-.f64 1 z)) -13/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2)))
(*.f64 1 (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) 1/2)
(sqrt.f64 (PI.f64))
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(sqrt.f64 (PI.f64))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(cbrt.f64 (*.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))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))

eval1.4s (1.7%)

Compiler

Compiled 95876 to 74660 computations (22.1% saved)

prune283.0ms (0.3%)

Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New1153211174
Fresh61319
Picked505
Done303
Total1167341201
Accurracy
99.9%
Counts
1201 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3)) (+.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))))))
98.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
98.6%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
96.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.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))))))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 z 904338909853211/2500000000000) 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))))))))
98.2%
(*.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 2 z))) (+.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))))))))
97.7%
(*.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 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 -883075145810703/5000000000000 (-.f64 3 z))) (*.f64 (-.f64 3 z) (-.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))))))))
98.2%
(*.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 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
95.8%
(*.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 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))))))))
97.2%
(*.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 469507597606837/10000000000000 (+.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))))))))
98.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -865413626735057605112894129/78400000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
0.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 -253373321288362579/25000000000000000000000 z)) (/.f64 444344332714102833/6250000000000000000000 (*.f64 z z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2))))))
98.0%
(*.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 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
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 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
60.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 371756020978964147/150000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.3%
(*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.3%
(*.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 (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)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.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)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
6.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.5%
(*.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)))))
96.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
38.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 7902188421553103227/30000000000000000 (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)))))
97.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3)) (+.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))))))
98.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
98.6%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
96.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.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))))))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 z 904338909853211/2500000000000) 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))))))))
98.2%
(*.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 2 z))) (+.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))))))))
97.7%
(*.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 (fma.f64 7713234287776531/10000000000000 (-.f64 4 z) (*.f64 -883075145810703/5000000000000 (-.f64 3 z))) (*.f64 (-.f64 3 z) (-.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))))))))
98.2%
(*.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 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
95.8%
(*.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 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))))))))
97.2%
(*.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 469507597606837/10000000000000 (+.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))))))))
98.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -865413626735057605112894129/78400000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
0.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 -253373321288362579/25000000000000000000000 z)) (/.f64 444344332714102833/6250000000000000000000 (*.f64 z z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
96.9%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2))))))
98.0%
(*.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 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
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 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))) 3)))))
60.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 371756020978964147/150000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.3%
(*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.3%
(*.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 (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)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.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)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
6.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.5%
(*.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)))))
96.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
38.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 7902188421553103227/30000000000000000 (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)))))
97.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Compiler

Compiled 9700 to 8032 computations (17.2% saved)

localize1.7s (2%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
98.5%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2)))
98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))
98.4%
(sqrt.f64 (PI.f64))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
97.8%
(*.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))))
99.3%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))
98.5%
(/.f64 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))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
98.5%
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 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))
97.5%
(exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))
Compiler

Compiled 2111 to 1645 computations (22.1% saved)

series12.0ms (0%)

Counts
8 → 72
Calls

18 calls:

TimeVariablePointExpression
5.0ms
z
@0
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
2.0ms
z
@0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
2.0ms
z
@inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
1.0ms
z
@-inf
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
0.0ms
z
@0
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))

rewrite82.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1326×pow1
1306×add-exp-log
1306×add-log-exp
1302×log1p-expm1-u
1302×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062318
11427318
Stop Event
node limit
Counts
8 → 62
Calls
Call 1
Inputs
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(/.f64 7713234287776531/10000000000000 (-.f64 3 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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2)))
Outputs
(+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(*.f64 1 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (sqrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(pow.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 1)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(pow.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) 1)
(log.f64 (exp.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2))))
(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))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))))
(*.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))))
(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))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (-.f64 2 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))

simplify137.0ms (0.2%)

Algorithm
egg-herbie
Rules
938×associate-*l*
906×associate-*r*
736×fma-def
554×*-commutative
466×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04787532
113767264
253127120
Stop Event
node limit
Counts
134 → 198
Calls
Call 1
Inputs
7902188421553103227/30000000000000000
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9999999999998099/10000000000000000
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9999999999998099/10000000000000000
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))
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7713234287776531/30000000000000
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(/.f64 -7713234287776531/10000000000000 z)
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(log.f64 (exp.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))))))
(*.f64 1 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (cbrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(/.f64 (+.f64 (*.f64 6765203681218851/10000000000000 (-.f64 2 z)) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (+.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (-.f64 (*.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
Outputs
7902188421553103227/30000000000000000
(+.f64 7902188421553103227/30000000000000000 (*.f64 (+.f64 6765203681218851/10000000000000 (+.f64 (*.f64 -21565831191711300017/135000000000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1242342262210344407/3000000000000000) 4)) 1/3)) (*.f64 -21565831191711300017/270000000000000000 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 -1242342262210344407/3000000000000000) 4)) 1/3)))) z))
(+.f64 7902188421553103227/30000000000000000 (*.f64 (+.f64 6765203681218851/10000000000000 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1242342262210344407/3000000000000000) 4)) -21565831191711300017/90000000000000000)) z))
(fma.f64 (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 -1242342262210344407/3000000000000000) 4)) -21565831191711300017/90000000000000000 6765203681218851/10000000000000) z 7902188421553103227/30000000000000000)
(fma.f64 (fma.f64 (cbrt.f64 (*.f64 (cbrt.f64 -1242342262210344407/3000000000000000) -1242342262210344407/3000000000000000)) -21565831191711300017/90000000000000000 6765203681218851/10000000000000) z 7902188421553103227/30000000000000000)
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(/.f64 (-.f64 (/.f64 (/.f64 45767980848377092942628957760201/100000000000000000000000000 (-.f64 1 z)) (-.f64 1 z)) (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 3147848041806007/2500000000000 (-.f64 2 z))))
(/.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
(pow.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(log.f64 (exp.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(cbrt.f64 (*.f64 (*.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))
(cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (exp.f64 (+.f64 z -15/2)))

eval1.3s (1.6%)

Compiler

Compiled 90452 to 69869 computations (22.8% saved)

prune268.0ms (0.3%)

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New1089131102
Fresh101929
Picked415
Done000
Total1103331136
Accurracy
99.9%
Counts
1136 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
98.6%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
96.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
98.2%
(*.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 2 z))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
95.8%
(*.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 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))))))))
96.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2))))))
98.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -865413626735057605112894129/78400000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
0.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 -253373321288362579/25000000000000000000000 z)) (/.f64 444344332714102833/6250000000000000000000 (*.f64 z 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))))))
98.0%
(*.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 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
60.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 371756020978964147/150000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2))))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (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 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.3%
(*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.3%
(*.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 (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)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.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)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
6.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.5%
(*.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)))))
14.4%
(*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
38.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 7902188421553103227/30000000000000000 (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 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
97.3%
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
97.6%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
97.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
98.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
98.6%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
96.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
98.2%
(*.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 2 z))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
95.8%
(*.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 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))))))))
96.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2))))))
98.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -865413626735057605112894129/78400000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
0.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 -253373321288362579/25000000000000000000000 z)) (/.f64 444344332714102833/6250000000000000000000 (*.f64 z 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))))))
98.0%
(*.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 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
60.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 371756020978964147/150000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2))))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (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 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.3%
(*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.3%
(*.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 (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)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.9%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.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)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.0%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
6.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.5%
(*.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)))))
14.4%
(*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
38.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 7902188421553103227/30000000000000000 (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 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
97.3%
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
97.6%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
97.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
Compiler

Compiled 7974 to 6584 computations (17.4% saved)

localize1.8s (2.2%)

Local Accuracy

Found 20 expressions with local accuracy:

NewAccuracyProgram
98.5%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
98.5%
(+.f64 (/.f64 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))
97.5%
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))
98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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))
97.8%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
98.5%
(*.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)))))
98.5%
(+.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)))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
97.8%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))
99.2%
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
99.1%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
98.4%
(sqrt.f64 (PI.f64))
98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
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))
98.4%
(exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
97.5%
(exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))
Compiler

Compiled 2257 to 1754 computations (22.3% saved)

series10.0ms (0%)

Counts
7 → 60
Calls

21 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
1.0ms
z
@0
(*.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)))))
1.0ms
z
@inf
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
1.0ms
z
@0
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
0.0ms
z
@-inf
(*.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)))))

rewrite92.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
1514×add-exp-log
1514×pow1
1508×add-log-exp
1504×log1p-expm1-u
1504×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069373
11606373
Stop Event
node limit
Counts
7 → 67
Calls
Call 1
Inputs
(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 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z)
(+.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 (+.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 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))
Outputs
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.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 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
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(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(cbrt.f64 (*.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 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(*.f64 1 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))))
(*.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)) (exp.f64 -15/2))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))) (cbrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))))) (cbrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))) (sqrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(pow.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))) 1)
(log.f64 (exp.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))) (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))) (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))

simplify136.0ms (0.2%)

Algorithm
egg-herbie
Rules
1674×times-frac
678×associate-*r*
668×fma-def
664×associate-*l*
466×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04387519
112717163
254697145
Stop Event
node limit
Counts
127 → 196
Calls
Call 1
Inputs
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))))))
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(/.f64 -121443148578839881/200000000000000 z)
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1106209385320415913103082059/4200000000000000000000000
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(*.f64 39321001939258358983/90000000000000000 z)
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(*.f64 39321001939258358983/90000000000000000 z)
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(+.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 3464024008321714637421/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))) z)) (*.f64 7902188421553103227/30000000000000000 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2))))))
(+.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 3464024008321714637421/25000000000000000000000 (/.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (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 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 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))))))
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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 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))))))
-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2))) 41652288634797769/1000000000000000)
(-.f64 (+.f64 (*.f64 -2679562833674850683/4000000000000000000 (pow.f64 z 3)) (+.f64 (*.f64 -105381455914863113/10000000000000000 z) (*.f64 -531910216885790327/200000000000000000 (pow.f64 z 2)))) 41652288634797769/1000000000000000)
(/.f64 32821537176690739/200000000000000 z)
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(+.f64 (*.f64 389597758261645411/40000000000000 (/.f64 1 (pow.f64 z 4))) (+.f64 (*.f64 5151387202041023/8000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 100526275385083079/40000000000000 (/.f64 1 (pow.f64 z 3))) (*.f64 32821537176690739/200000000000000 (/.f64 1 z)))))
(/.f64 32821537176690739/200000000000000 z)
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(exp.f64 (-.f64 (*.f64 1/2 (log.f64 15/2)) 15/2))
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(exp.f64 (-.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) 15/2))
(exp.f64 (-.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) 15/2))
(exp.f64 (-.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) 15/2))
(exp.f64 (-.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) 15/2))
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(/.f64 (+.f64 (*.f64 -883075145810703/5000000000000 (-.f64 5 z)) (*.f64 (-.f64 4 z) 2501468655737381/200000000000000)) (*.f64 (-.f64 4 z) (-.f64 5 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 3) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3)) (+.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (-.f64 (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (-.f64 (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (-.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 1)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(cbrt.f64 (*.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 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(*.f64 1 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))))
(*.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)) (exp.f64 -15/2))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))) (cbrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))))) (cbrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))) (sqrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(pow.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))) 1)
(log.f64 (exp.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))) (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))) (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
Outputs
646366562873259793/3000000000000000
(+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z))
(fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000)
(+.f64 (*.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (+.f64 646366562873259793/3000000000000000 (*.f64 6764801184542762983/90000000000000000 z)))
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (fma.f64 6764801184542762983/90000000000000000 z 646366562873259793/3000000000000000))
(+.f64 (*.f64 139903109899614281171/5400000000000000000 (pow.f64 z 2)) (+.f64 646366562873259793/3000000000000000 (+.f64 (*.f64 6764801184542762983/90000000000000000 z) (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) (+.f64 646366562873259793/3000000000000000 (fma.f64 6764801184542762983/90000000000000000 z (*.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3)))))
(+.f64 (fma.f64 2868249125582949494677/324000000000000000000 (pow.f64 z 3) (*.f64 6764801184542762983/90000000000000000 z)) (fma.f64 139903109899614281171/5400000000000000000 (*.f64 z z) 646366562873259793/3000000000000000))
(/.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 z z)) (/.f64 121443148578839881/200000000000000 z)))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 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 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (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)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 443431544818219937/40000000000000 (pow.f64 z 4)) (/.f64 66801875443113257/40000000000000 (*.f64 z z))) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 177150158974872037/40000000000000 (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 z z)) (/.f64 121443148578839881/200000000000000 z)))
(+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 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 66801875443113257/40000000000000 (*.f64 z z)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
(-.f64 (+.f64 (/.f64 -66801875443113257/40000000000000 (*.f64 z z)) (/.f64 -121443148578839881/200000000000000 z)) (/.f64 177150158974872037/40000000000000 (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)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 443431544818219937/40000000000000 (pow.f64 z 4)) (/.f64 66801875443113257/40000000000000 (*.f64 z z))) (+.f64 (/.f64 121443148578839881/200000000000000 z) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
(-.f64 (/.f64 -443431544818219937/40000000000000 (pow.f64 z 4)) (+.f64 (/.f64 121443148578839881/200000000000000 z) (+.f64 (/.f64 66801875443113257/40000000000000 (*.f64 z z)) (/.f64 177150158974872037/40000000000000 (pow.f64 z 3)))))
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))
(fma.f64 z 102757979785251069442117317613/235200000000000000000000000 1106209385320415913103082059/4200000000000000000000000)
(+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 102757979785251069442117317613/235200000000000000000000000 z (*.f64 (*.f64 z z) -76044331624539137747479981/118540800000000000000000000000)))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 (*.f64 z z) -76044331624539137747479981/118540800000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)))
(+.f64 (*.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3)) (+.f64 1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 102757979785251069442117317613/235200000000000000000000000 z) (*.f64 -76044331624539137747479981/118540800000000000000000000000 (pow.f64 z 2)))))
(fma.f64 -2129255331893733814996830001/19914854400000000000000000000000 (pow.f64 z 3) (+.f64 1106209385320415913103082059/4200000000000000000000000 (fma.f64 102757979785251069442117317613/235200000000000000000000000 z (*.f64 (*.f64 z z) -76044331624539137747479981/118540800000000000000000000000))))
(+.f64 (fma.f64 (*.f64 z z) -76044331624539137747479981/118540800000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (fma.f64 (pow.f64 z 3) -2129255331893733814996830001/19914854400000000000000000000000 1106209385320415913103082059/4200000000000000000000000))
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 z 39321001939258358983/90000000000000000)
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))
(fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000)
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (*.f64 z 39321001939258358983/90000000000000000)))
(+.f64 7902188421553103227/30000000000000000 (fma.f64 z 39321001939258358983/90000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 39321001939258358983/90000000000000000 z))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (*.f64 z 39321001939258358983/90000000000000000)) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(+.f64 (fma.f64 z 39321001939258358983/90000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(*.f64 39321001939258358983/90000000000000000 z)
(*.f64 z 39321001939258358983/90000000000000000)
(+.f64 7902188421553103227/30000000000000000 (*.f64 39321001939258358983/90000000000000000 z))
(+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000))
(fma.f64 z 39321001939258358983/90000000000000000 7902188421553103227/30000000000000000)
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 39321001939258358983/90000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (*.f64 z 39321001939258358983/90000000000000000)))
(+.f64 7902188421553103227/30000000000000000 (fma.f64 z 39321001939258358983/90000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (*.f64 5195971728131790397167/6250000000000000000000 (/.f64 1 (pow.f64 z 2))) (+.f64 (*.f64 3464024008321714637421/25000000000000000000000 (/.f64 1 z)) (*.f64 39321001939258358983/90000000000000000 z))))
(+.f64 7902188421553103227/30000000000000000 (+.f64 (+.f64 (/.f64 3464024008321714637421/25000000000000000000000 z) (*.f64 z 39321001939258358983/90000000000000000)) (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(+.f64 (fma.f64 z 39321001939258358983/90000000000000000 (/.f64 3464024008321714637421/25000000000000000000000 z)) (+.f64 7902188421553103227/30000000000000000 (/.f64 5195971728131790397167/6250000000000000000000 (*.f64 z z))))
(*.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 (*.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 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))) z (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (sqrt.f64 15/2)))
(fma.f64 z (fma.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 -1 (log.f64 15/2) -1/15)) (*.f64 (exp.f64 -15/2) (*.f64 54901901787731453525296637639/78400000000000000000000000 (sqrt.f64 15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(+.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2)))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (sqrt.f64 15/2))))) z) (+.f64 (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))) (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))) (sqrt.f64 15/2)))) (*.f64 (sqrt.f64 15/2) (+.f64 (*.f64 -76044331624539137747479981/118540800000000000000000000000 (exp.f64 -15/2)) (+.f64 (*.f64 1106209385320415913103082059/8400000000000000000000000 (exp.f64 -15/2)) (*.f64 102757979785251069442117317613/235200000000000000000000000 (exp.f64 -15/2))))))) (pow.f64 z 2)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
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(exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (exp.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)) (exp.f64 -15/2))
(exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))) (cbrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))))) (cbrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))) (sqrt.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(pow.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))) 1)
(exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(log.f64 (exp.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(cbrt.f64 (*.f64 (*.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z))) (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))) (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))))
(exp.f64 (+.f64 -15/2 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))

eval2.0s (2.4%)

Compiler

Compiled 137116 to 105179 computations (23.3% saved)

prune372.0ms (0.5%)

Pruning

39 alts after pruning (36 fresh and 3 done)

PrunedKeptTotal
New1552171569
Fresh81927
Picked325
Done011
Total1563391602
Accurracy
99.9%
Counts
1602 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
98.6%
(*.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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
96.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 (+.f64 -1 z) -13/2))) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
98.2%
(*.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 2 z))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
98.0%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.5%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -865413626735057605112894129/78400000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
0.6%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 -253373321288362579/25000000000000000000000 z)) (/.f64 444344332714102833/6250000000000000000000 (*.f64 z 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))))))
98.0%
(*.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 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
60.4%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 371756020978964147/150000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.3%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
97.8%
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 7713234287776531/90000000000000 z) 7713234287776531/30000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2))))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (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 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (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 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (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 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
4.3%
(*.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))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.1%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.3%
(*.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 (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)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
99.2%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
6.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.5%
(*.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 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)))))
98.1%
(*.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 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.5%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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)))))
14.4%
(*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
38.8%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (*.f64 7902188421553103227/30000000000000000 (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 (exp.f64 -15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
97.3%
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
97.6%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
97.0%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
96.1%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
96.6%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
87.1%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
97.3%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
97.4%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
5.8%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
41.4%
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
Compiler

Compiled 7294 to 5734 computations (21.4% saved)

regimes174.0ms (0.2%)

Counts
80 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 (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 (*.f64 7902188421553103227/30000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.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 -865413626735057605112894129/78400000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 371756020978964147/150000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 -253373321288362579/25000000000000000000000 z)) (/.f64 444344332714102833/6250000000000000000000 (*.f64 z z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.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 (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 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (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 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (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 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (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 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (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 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

2 calls:

31.0ms
(*.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)))))
27.0ms
z
Results
AccuracySegmentsBranch
99.2%1z
99.2%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 5308 to 4094 computations (22.9% saved)

regimes165.0ms (0.2%)

Counts
76 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
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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)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3)) (+.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))) (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 (/.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 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

2 calls:

30.0ms
(*.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)))))
26.0ms
z
Results
AccuracySegmentsBranch
99.2%1z
99.2%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 4887 to 3764 computations (23% saved)

regimes147.0ms (0.2%)

Counts
75 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 (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 (*.f64 7902188421553103227/30000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
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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)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (exp.f64 (log.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 3)) (+.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))) (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 (/.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 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (-.f64 3 z) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 2) (*.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 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

2 calls:

30.0ms
(*.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)))))
25.0ms
z
Results
AccuracySegmentsBranch
99.2%1z
99.2%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 4786 to 3685 computations (23% saved)

regimes108.0ms (0.1%)

Counts
57 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 (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 (*.f64 7902188421553103227/30000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.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 -865413626735057605112894129/78400000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
(*.f64 (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))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.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))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (*.f64 (sqrt.f64 2) (exp.f64 -15/2)) (sqrt.f64 (PI.f64))))))
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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
Calls

2 calls:

25.0ms
(*.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)))))
19.0ms
z
Results
AccuracySegmentsBranch
98.6%1z
98.6%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 3218 to 2463 computations (23.5% saved)

regimes65.0ms (0.1%)

Counts
45 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 (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 (*.f64 7902188421553103227/30000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
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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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
Calls

1 calls:

16.0ms
z
Results
AccuracySegmentsBranch
98.6%1z
Compiler

Compiled 2301 to 1752 computations (23.9% saved)

regimes56.0ms (0.1%)

Counts
43 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
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(*.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)))))
(*.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 (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))))))))
(*.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 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 (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 2 z))) (+.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))))))))
(*.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))))))
(*.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))))))))
(*.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 z 904338909853211/2500000000000) 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))))))))
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 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 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)))))
Calls

1 calls:

15.0ms
z
Results
AccuracySegmentsBranch
98.5%1z
Compiler

Compiled 2116 to 1603 computations (24.2% saved)

regimes42.0ms (0.1%)

Counts
34 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
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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 (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 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.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 469507597606837/10000000000000 (+.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))))))))
(*.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 2 z))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.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 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.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 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
Outputs
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Calls

1 calls:

12.0ms
z
Results
AccuracySegmentsBranch
98.3%1z
Compiler

Compiled 1386 to 1031 computations (25.6% saved)

regimes39.0ms (0%)

Counts
32 → 1
Calls
Call 1
Inputs
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
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(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.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 469507597606837/10000000000000 (+.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))))))))
(*.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 2 z))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.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 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 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
Calls

1 calls:

12.0ms
z
Results
AccuracySegmentsBranch
98.3%1z
Compiler

Compiled 1237 to 916 computations (25.9% saved)

regimes38.0ms (0%)

Counts
31 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 (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 (*.f64 7902188421553103227/30000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.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 -865413626735057605112894129/78400000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 371756020978964147/150000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 -253373321288362579/25000000000000000000000 z)) (/.f64 444344332714102833/6250000000000000000000 (*.f64 z z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.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 469507597606837/10000000000000 (+.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))))))))
(*.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 2 z))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.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 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 12777243138120953/60000000000000 (*.f64 z 53758197989915921/720000000000000)))) (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))))
Calls

1 calls:

12.0ms
z
Results
AccuracySegmentsBranch
98.2%1z
Compiler

Compiled 1163 to 860 computations (26.1% saved)

regimes33.0ms (0%)

Counts
30 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 (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 (*.f64 7902188421553103227/30000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.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 -865413626735057605112894129/78400000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 371756020978964147/150000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 -253373321288362579/25000000000000000000000 z)) (/.f64 444344332714102833/6250000000000000000000 (*.f64 z z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.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 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (+.f64 (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.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 469507597606837/10000000000000 (+.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))))))))
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 646366562873259793/3000000000000000 (*.f64 z 6764801184542762983/90000000000000000))))) (+.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:

12.0ms
z
Results
AccuracySegmentsBranch
98.1%1z
Compiler

Compiled 1090 to 803 computations (26.3% saved)

regimes25.0ms (0%)

Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 (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 (*.f64 7902188421553103227/30000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.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 -865413626735057605112894129/78400000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (*.f64 -7438431377385067353648047161/705600000000000000000000000 z) 175036605963169168476917941/4200000000000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 371756020978964147/150000000000000000)) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 646366562873259793/3000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (-.f64 (+.f64 371756020978964147/150000000000000000 (/.f64 -253373321288362579/25000000000000000000000 z)) (/.f64 444344332714102833/6250000000000000000000 (*.f64 z z))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.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:

10.0ms
z
Results
AccuracySegmentsBranch
98.0%1z
Compiler

Compiled 757 to 554 computations (26.8% saved)

regimes17.0ms (0%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 (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 (*.f64 7902188421553103227/30000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (-.f64 z 15/2)) (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 7902188421553103227/30000000000000000 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) -175036605963169168476917941/4200000000000000000000000) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 z -15/2))))))
Outputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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:

8.0ms
z
Results
AccuracySegmentsBranch
97.8%1z
Compiler

Compiled 433 to 322 computations (25.6% saved)

regimes13.0ms (0%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (cbrt.f64 (pow.f64 (PI.f64) 3/2))))
(expm1.f64 (log1p.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (log.f64 (exp.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (log.f64 (exp.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))) z) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 (sin.f64 (*.f64 z (PI.f64))) (pow.f64 (PI.f64) 3/2))))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 15/2) (*.f64 1106209385320415913103082059/4200000000000000000000000 (exp.f64 -15/2))) (PI.f64)) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.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 (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 (*.f64 7902188421553103227/30000000000000000 (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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
97.6%1z
Compiler

Compiled 265 to 207 computations (21.9% saved)

regimes4.0ms (0%)

Accuracy

Total -0.4b remaining (-25.2%)

Threshold costs -0.4b (-25.2%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (sqrt.f64 2) (/.f64 z (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (sqrt.f64 (PI.f64))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
Outputs
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
97.4%1z
Compiler

Compiled 48 to 40 computations (16.7% saved)

simplify277.0ms (0.3%)

Algorithm
egg-herbie
Rules
1124×distribute-lft-neg-in
770×neg-mul-1
696×neg-sub0
690×distribute-neg-in
644×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02352900
13982876
24622876
35662872
46622872
57362872
68142872
78552872
89172872
910942872
1013872872
1118072872
1222492872
1327392872
1431992872
1535552872
1638492872
1739202872
1839402872
1943112872
2043972872
2144322872
2244322872
2344322872
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (-.f64 -15/2 (neg.f64 z)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 2) (cbrt.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (exp.f64 (+.f64 (fma.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)) z) -15/2))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (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 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 z 15/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))))
(*.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 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 7713234287776531/10000000000000 (-.f64 3 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))))))
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(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 (+.f64 7902188421553103227/30000000000000000 (*.f64 z 39321001939258358983/90000000000000000)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))))) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (-.f64 -15/2 (neg.f64 z))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000)) (*.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 1106209385320415913103082059/4200000000000000000000000 (/.f64 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (PI.f64)))) z))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 (/.f64 (sqrt.f64 2) z) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))))
Outputs
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Compiler

Compiled 940 to 777 computations (17.3% saved)

soundness3.5s (4.3%)

Rules
1674×times-frac
1674×times-frac
1514×add-exp-log
1514×pow1
1508×add-log-exp
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064311
1163293
2641237
34401229
0112774
12919696
0112774
12919696
069373
11606373
04387519
112717163
254697145
04787532
113767264
253127120
098325526
1253224376
04387519
112717163
254697145
0112774
12919696
098325526
1253224376
098325526
1253224376
064311
1163293
2641237
34401229
098325526
1253224376
0112774
12919696
098325526
1253224376
051110121
115289489
264319451
051110121
115289489
264319451
064311
1163293
2641237
34401229
0112774
12919696
098325526
1253224376
064311
1163293
2641237
34401229
0112774
12919696
098325526
1253224376
051110121
115289489
264319451
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 7831 to 6228 computations (20.5% saved)

end400.0ms (0.5%)

Compiler

Compiled 2102 to 1654 computations (21.3% saved)

Profiling

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