Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 2.0min)

analyze1.5s (1.3%)

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 113 computations (11% saved)

Precisions
Click to see histograms. Total time spent on operations: 881.0ms
Operation ival-sub, time spent: 255.0ms, 29.0% of total-time
Operation ival-add, time spent: 247.0ms, 28.0% of total-time
Operation ival-pow, time spent: 112.0ms, 13.0% of total-time
Operation ival-div, time spent: 91.0ms, 10.0% of total-time
Operation ival-mult, time spent: 66.0ms, 7.0% of total-time
Operation const, time spent: 38.0ms, 4.0% of total-time
Operation ival-sin, time spent: 18.0ms, 2.0% of total-time
Operation ival-pi, time spent: 17.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 12.0ms, 1.0% of total-time
Operation ival-exp, time spent: 9.0ms, 1.0% of total-time
Operation ival-<=, time spent: 9.0ms, 1.0% of total-time
Operation ival-neg, time spent: 7.0ms, 1.0% of total-time

sample1.4min (68.4%)

Results
6.9s8162×256valid
1.1min3804×8192exit
119.0ms101×256unsamplable
74.0ms93×256infinite
1.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 1.2min
Operation ival-sin, time spent: 45.8s, 65.0% of total-time
Operation ival-sub, time spent: 6.1s, 9.0% of total-time
Operation ival-add, time spent: 5.5s, 8.0% of total-time
Operation ival-pow, time spent: 5.0s, 7.0% of total-time
Operation ival-div, time spent: 4.0s, 6.0% of total-time
Operation ival-mult, time spent: 2.1s, 3.0% of total-time
Operation const, time spent: 800.0ms, 1.0% of total-time
Operation ival-sqrt, time spent: 544.0ms, 1.0% of total-time
Operation ival-pi, time spent: 317.0ms, 0.0% of total-time
Operation ival-exp, time spent: 253.0ms, 0.0% of total-time
Operation ival-neg, time spent: 206.0ms, 0.0% of total-time
Operation ival-<=, time spent: 204.0ms, 0.0% of total-time
Bogosity

preprocess8.7s (7.3%)

Algorithm
egg-herbie
Rules
1316×associate-+r+
1222×distribute-rgt-in
1194×distribute-lft-in
958×associate-*r*
752×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2510-0-(-.f64 (-.f64 1 z) 1)
10-1(-6.96641671178084)(sin.f64 (*.f64 (PI.f64) z))
00-0-(+.f64 (-.f64 (-.f64 1 z) 1) 1/2)
00-0-(+.f64 (-.f64 (-.f64 1 z) 1) 7)
00-0-6765203681218851/10000000000000
00-0-(+.f64 (-.f64 (-.f64 1 z) 1) 3)
00-0-(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))
00-0--3147848041806007/2500000000000
00-0-(+.f64 (-.f64 (-.f64 1 z) 1) 1)
00-0-(+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1)))
00-0-(*.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)))))
00-0-(*.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))))
00-0-(*.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))))
00-0-(+.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)))
00-0-(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
00-0-(+.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)))
00-0-(sqrt.f64 (*.f64 (PI.f64) 2))
00-0-(+.f64 (-.f64 (-.f64 1 z) 1) 4)
00-0-2501468655737381/200000000000000
00-0-(PI.f64)
00-0--883075145810703/5000000000000
00-0--3464277381643003/25000000000000000
00-0-(+.f64 (-.f64 (-.f64 1 z) 1) 2)
00-0-(+.f64 (-.f64 (-.f64 1 z) 1) 6)
00-0-(/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8))
00-0-(+.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)))
00-0-(*.f64 (PI.f64) 2)
00-0-(+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)
00-0-3764081837873279/25000000000000000000000
00-0-(-.f64 1 z)
00-0-(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))
00-0-(/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))
00-0-(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))
00-0-(*.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)))
00-0-(/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))
00-0-(+.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)))
00-0-2496092394504893/250000000000000000000
00-0-z
00-0-(/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))
00-0-(/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))
00-0-(/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))
00-0-(+.f64 (-.f64 (-.f64 1 z) 1) 8)
00-0-(*.f64 (PI.f64) z)
00-0-9999999999998099/10000000000000000
00-0-(+.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)))
00-0-7713234287776531/10000000000000
00-0-(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))
00-0-8
00-0-1/2
00-0-7
00-0-6
00-0-5
00-0-(/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))
00-0-4
00-0-(+.f64 (-.f64 (-.f64 1 z) 1) 5)
00-0-(+.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)))
00-0-3
00-0-2
00-0-1
00-0-(/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01051488
12841328
212851072
Stop Event
node limit
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)))))
(*.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) (neg.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 8)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 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 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
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(*.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 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 8)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 1/2 (-.f64 (-.f64 1 (neg.f64 z)) -6)) (-.f64 (-.f64 1 (neg.f64 z)) 1/2)) (exp.f64 (neg.f64 (+.f64 1/2 (-.f64 (-.f64 1 (neg.f64 z)) -6))))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 (neg.f64 z)) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 (neg.f64 z)) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -7)))))
(*.f64 (PI.f64) (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (+.f64 z 1) 13/2) (-.f64 3/2 (-.f64 1 z))) (exp.f64 (neg.f64 (+.f64 (+.f64 z 1) 13/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 z 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 1 (-.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 1 (-.f64 z -3)))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 1 (-.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 1 (-.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 1 (-.f64 z -7)))))))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (/.f64 (*.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 2))) (neg.f64 (sin.f64 (*.f64 (PI.f64) z)))) (*.f64 (+.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 2)))) (/.f64 2501468655737381/200000000000000 (+.f64 z 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 8))))) (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (exp.f64 (-.f64 -15/2 z)))))
(neg.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 (neg.f64 z)) 1) 8))))))
(*.f64 (neg.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) (neg.f64 z))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 1/2 (-.f64 (-.f64 1 (neg.f64 z)) -6)) (-.f64 (-.f64 1 (neg.f64 z)) 1/2)) (exp.f64 (neg.f64 (+.f64 1/2 (-.f64 (-.f64 1 (neg.f64 z)) -6)))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 (neg.f64 z)) 0)) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 (neg.f64 z)) -1)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 (neg.f64 z)) -7))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (+.f64 (+.f64 z 1) 13/2) (-.f64 3/2 (-.f64 1 z))) (exp.f64 (neg.f64 (+.f64 (+.f64 z 1) 13/2)))) (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 z 1))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 1 (-.f64 z -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 1 (-.f64 z -2))) (/.f64 -883075145810703/5000000000000 (+.f64 1 (-.f64 z -3)))))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 1 (-.f64 z -4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 1 (-.f64 z -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 1 (-.f64 z -6))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 1 (-.f64 z -7)))))))) (/.f64 (neg.f64 (PI.f64)) (neg.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 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 z 3)) (+.f64 (+.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (+.f64 z 4)) (/.f64 6765203681218851/10000000000000 (+.f64 z 1))) (+.f64 9999999999998099/10000000000000000 (/.f64 -3147848041806007/2500000000000 (+.f64 z 2)))) (/.f64 2501468655737381/200000000000000 (+.f64 z 5)))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 z 6)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 z 7)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 z 8))))) (*.f64 (pow.f64 (+.f64 z 15/2) (+.f64 z 1/2)) (exp.f64 (-.f64 -15/2 z))))))
Results
4.3s270×1024valid
550.0ms111×256valid
1.2s110×512valid
347.0ms20×2048valid
3.0ms256valid
Compiler

Compiled 1914 to 1684 computations (12% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.4s
Operation ival-sub, time spent: 1.9s, 35.0% of total-time
Operation ival-add, time spent: 1.5s, 27.0% of total-time
Operation ival-div, time spent: 844.0ms, 16.0% of total-time
Operation ival-mult, time spent: 365.0ms, 7.0% of total-time
Operation ival-pow, time spent: 359.0ms, 7.0% of total-time
Operation const, time spent: 246.0ms, 5.0% of total-time
Operation ival-exp, time spent: 98.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 61.0ms, 1.0% of total-time
Operation ival-neg, time spent: 33.0ms, 1.0% of total-time
Operation ival-sin, time spent: 21.0ms, 0.0% of total-time
Operation ival-pi, time spent: 12.0ms, 0.0% of total-time

eval4.0ms (0%)

Compiler

Compiled 272 to 222 computations (18.4% saved)

prune8.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(*.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)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
Compiler

Compiled 398 to 342 computations (14.1% saved)

localize8.8s (7.4%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
98.5%
(*.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))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 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)))
10.3%
(-.f64 (-.f64 1 z) 1)
98.5%
(*.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)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
10.3%
(+.f64 (-.f64 1 z) -1)
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
98.5%
(*.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))))
98.4%
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.5%
(+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Results
4.7s135×1024valid
1.2s55×512valid
537.0ms55×256valid
466.0ms10×2048valid
14.0ms256valid
Compiler

Compiled 2518 to 2092 computations (16.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.5s
Operation ival-sub, time spent: 1.6s, 29.0% of total-time
Operation ival-div, time spent: 1.3s, 23.0% of total-time
Operation ival-add, time spent: 1.1s, 21.0% of total-time
Operation ival-pow, time spent: 487.0ms, 9.0% of total-time
Operation ival-mult, time spent: 308.0ms, 6.0% of total-time
Operation const, time spent: 306.0ms, 6.0% of total-time
Operation ival-exp, time spent: 194.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 88.0ms, 2.0% of total-time
Operation ival-neg, time spent: 59.0ms, 1.0% of total-time
Operation ival-sin, time spent: 9.0ms, 0.0% of total-time
Operation ival-pi, time spent: 8.0ms, 0.0% of total-time

series32.0ms (0%)

Counts
16 → 144
Calls
Call 1
Inputs
#<alt (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))>
#<alt (sqrt.f64 (*.f64 (PI.f64) 2))>
#<alt (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))>
#<alt (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))>
#<alt (sqrt.f64 (*.f64 (PI.f64) 2))>
#<alt (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))>
#<alt (*.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))))>
#<alt (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))>
#<alt (+.f64 (-.f64 1 z) -1)>
#<alt (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))>
#<alt (sqrt.f64 (*.f64 (PI.f64) 2))>
#<alt (*.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)))>
#<alt (-.f64 (-.f64 1 z) 1)>
#<alt (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2)))>
#<alt (sqrt.f64 (*.f64 (PI.f64) 2))>
#<alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))>
Outputs
#<alt 469507597606837/10000000000000>
#<alt (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))>
#<alt (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 2076511864126339/4000000000000 z))))>
#<alt (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z (+.f64 2076511864126339/4000000000000 (*.f64 23912966683069397/40000000000000 z))))))>
#<alt (/.f64 5826188486005177/10000000000000 z)>
#<alt (/.f64 (+.f64 5826188486005177/10000000000000 (*.f64 3683516130645841/2000000000000 (/.f64 1 z))) z)>
#<alt (/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2)))) z)>
#<alt (/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 z)) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2))))) z)>
#<alt (/.f64 5826188486005177/10000000000000 z)>
#<alt (/.f64 (+.f64 5826188486005177/10000000000000 (*.f64 3683516130645841/2000000000000 (/.f64 1 z))) z)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (*.f64 43600364987677261/10000000000000 (/.f64 1 z))) z)) 5826188486005177/10000000000000) z))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 z)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 2)))) z)) 5826188486005177/10000000000000) z))>
#<alt (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt 1106209385320415913103082059/4200000000000000000000000>
#<alt (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))>
#<alt (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 z))))>
#<alt (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z (+.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 z))))))>
#<alt 9999999999998099/10000000000000000>
#<alt (-.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))>
#<alt (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z 2))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))>
#<alt (-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z 2))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 398308844029173303716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))>
#<alt 9999999999998099/10000000000000000>
#<alt (-.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 -1 (/.f64 (-.f64 611458333333720910362579/25000000000000000000000 (*.f64 1078390842009938509147167/6250000000000000000000 (/.f64 1 z))) z)))>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 -1 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (*.f64 -1 (/.f64 (-.f64 1078390842009938509147167/6250000000000000000000 (*.f64 398308844029173303716389/6250000000000000000000 (/.f64 1 z))) z))) z)))>
#<alt 9151757080597036297/30000000000000000>
#<alt (+.f64 9151757080597036297/30000000000000000 (*.f64 40269435042492127/90000000000000 z))>
#<alt (+.f64 9151757080597036297/30000000000000000 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 295755570232608827/540000000000000 z))))>
#<alt (+.f64 9151757080597036297/30000000000000000 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 z (+.f64 295755570232608827/540000000000000 (*.f64 1967803238479727281/3240000000000000 z))))))>
#<alt 9999999999998099/10000000000000000>
#<alt (-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 -1 (/.f64 (+.f64 943522900885677/5000000000000 (*.f64 1180530552525097/2500000000000 (/.f64 1 z))) z)))>
#<alt (-.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 -1 (/.f64 (+.f64 1180530552525097/2500000000000 (*.f64 12909371801155759/5000000000000 (/.f64 1 z))) (pow.f64 z 2)))) (*.f64 943522900885677/5000000000000 (/.f64 1 z)))>
#<alt 9999999999998099/10000000000000000>
#<alt (-.f64 9999999999998099/10000000000000000 (*.f64 943522900885677/5000000000000 (/.f64 1 z)))>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 -1 (/.f64 (+.f64 943522900885677/5000000000000 (*.f64 1180530552525097/2500000000000 (/.f64 1 z))) z)))>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 -1 (/.f64 (+.f64 943522900885677/5000000000000 (+.f64 (*.f64 1180530552525097/2500000000000 (/.f64 1 z)) (/.f64 12909371801155759/5000000000000 (pow.f64 z 2)))) z)))>
#<alt (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt 371756020978964147/150000000000000000>
#<alt (+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))>
#<alt (+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 536852952257631293/5400000000000000000 z))))>
#<alt (+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 z (+.f64 536852952257631293/5400000000000000000 (*.f64 3224581990927430761/162000000000000000000 z))))))>
#<alt (/.f64 -154609652292764811/12500000000000000 z)>
#<alt (*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z))) z))>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1542632245546005107/25000000000000000 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 z))) z)) 154609652292764811/12500000000000000) z)>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 7692375563440167517/25000000000000000 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 z))) (pow.f64 z 2))) (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z)))) z)>
#<alt (/.f64 -154609652292764811/12500000000000000 z)>
#<alt (*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z))) z))>
#<alt (*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z)) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 2)))) z))>
#<alt (*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 7692375563440167517/25000000000000000 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 z))) z)) 1542632245546005107/25000000000000000) z))) z))>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt 479507597606835099/10000000000000000>
#<alt (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))>
#<alt (+.f64 479507597606835099/10000000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 2076511864126339/4000000000000 z))))>
#<alt (+.f64 479507597606835099/10000000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z (+.f64 2076511864126339/4000000000000 (*.f64 23912966683069397/40000000000000 z))))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))>
#<alt (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (/.f64 3683516130645841/2000000000000 (pow.f64 z 2))))>
#<alt (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 3683516130645841/2000000000000 (pow.f64 z 2)))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))>
#<alt (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (/.f64 3683516130645841/2000000000000 (pow.f64 z 2))))>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (*.f64 43600364987677261/10000000000000 (/.f64 1 z))) z)) 5826188486005177/10000000000000) z)))>
#<alt (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt (*.f64 -1 z)>
#<alt 479507597606835099/10000000000000000>
#<alt (+.f64 479507597606835099/10000000000000000 (*.f64 904338909853211/2500000000000 z))>
#<alt (+.f64 479507597606835099/10000000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 2076511864126339/4000000000000 z))))>
#<alt (+.f64 479507597606835099/10000000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z (+.f64 2076511864126339/4000000000000 (*.f64 23912966683069397/40000000000000 z))))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))>
#<alt (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (/.f64 3683516130645841/2000000000000 (pow.f64 z 2))))>
#<alt (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 3683516130645841/2000000000000 (pow.f64 z 2)))))>
#<alt 9999999999998099/10000000000000000>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)))>
#<alt (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 5826188486005177/10000000000000 (/.f64 1 z)) (/.f64 3683516130645841/2000000000000 (pow.f64 z 2))))>
#<alt (+.f64 9999999999998099/10000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (*.f64 43600364987677261/10000000000000 (/.f64 1 z))) z)) 5826188486005177/10000000000000) z)))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))>
#<alt (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (*.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (sqrt.f64 (PI.f64))))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (*.f64 (*.f64 z (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3))))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))))))) (sqrt.f64 (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))>
#<alt (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))))>
Calls

36 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(* (pow (+ (- 1 z) 13/2) (+ (- 1 z) -1/2)) (exp (neg (+ (- 1 z) 13/2))))
2.0ms
z
@0
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
2.0ms
z
@0
(* (pow (+ (neg z) 15/2) (- 1/2 z)) (exp (+ z -15/2)))
2.0ms
z
@inf
(* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2))))
1.0ms
z
@inf
(+ (+ (+ (/ 2496092394504893/250000000000000000000 (- 7 z)) (/ 3764081837873279/25000000000000000000000 (- 8 z))) (+ (+ (/ 6765203681218851/10000000000000 (- 1 z)) (/ -3147848041806007/2500000000000 (- 2 z))) (+ 9999999999998099/10000000000000000 (/ 7713234287776531/10000000000000 (- 3 z))))) (+ (/ -3464277381643003/25000000000000000 (- 6 z)) (+ (/ -883075145810703/5000000000000 (- 4 z)) (/ 2501468655737381/200000000000000 (- 5 z)))))

rewrite288.0ms (0.2%)

Algorithm
batch-egg-rewrite
Rules
910×log1p-expm1-u
910×expm1-log1p-u
462×fma-define
420×log-prod
326×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113777
12442699
Stop Event
node limit
Counts
16 → 269
Calls
Call 1
Inputs
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
(+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(sqrt.f64 (*.f64 (PI.f64) 2))
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
(*.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 (-.f64 1 z) -1)
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
(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 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)))
(sqrt.f64 (*.f64 (PI.f64) 2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) 1)
(*.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(/.f64 (fma.f64 6765203681218851/10000000000000 (-.f64 2 z) (*.f64 (-.f64 1 z) -3147848041806007/2500000000000)) (*.f64 (-.f64 1 z) (-.f64 2 z)))
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(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))
(log.f64 (+.f64 1 (expm1.f64 (*.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 (*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))
(log1p.f64 (expm1.f64 (*.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)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))
(+.f64 (-.f64 1 z) -1)
(+.f64 -1 (-.f64 1 z))
(*.f64 1 (neg.f64 z))
(*.f64 -1 z)
(*.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (fma.f64 (-.f64 1 z) (-.f64 1 z) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (fma.f64 (-.f64 1 z) (-.f64 1 z) (+.f64 1 (*.f64 (-.f64 1 z) 1))))
(/.f64 (fma.f64 (-.f64 1 z) (-.f64 1 z) -1) (-.f64 2 z))
(pow.f64 (neg.f64 z) 1)
(neg.f64 z)
(log.f64 (exp.f64 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))
(log.f64 (/.f64 1 (exp.f64 z)))
(cbrt.f64 (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z)))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z))) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 1)
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (/.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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))

simplify340.0ms (0.3%)

Algorithm
egg-herbie
Rules
938×fma-define
866×distribute-lft-in
850×fma-neg
848×distribute-rgt-in
806×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078323218
1210520738
2798720738
Stop Event
node limit
Counts
413 → 392
Calls
Call 1
Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 2076511864126339/4000000000000 z))))
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z (+.f64 2076511864126339/4000000000000 (*.f64 23912966683069397/40000000000000 z))))))
(/.f64 5826188486005177/10000000000000 z)
(/.f64 (+.f64 5826188486005177/10000000000000 (*.f64 3683516130645841/2000000000000 (/.f64 1 z))) z)
(/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2)))) z)
(/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 z)) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2))))) z)
(/.f64 5826188486005177/10000000000000 z)
(/.f64 (+.f64 5826188486005177/10000000000000 (*.f64 3683516130645841/2000000000000 (/.f64 1 z))) z)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (*.f64 43600364987677261/10000000000000 (/.f64 1 z))) z)) 5826188486005177/10000000000000) z))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 z)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 2)))) z)) 5826188486005177/10000000000000) z))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
1106209385320415913103082059/4200000000000000000000000
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 102757979785251069442117317613/235200000000000000000000000 z))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 64608921419941589693928044520019/118540800000000000000000000000 z))))
(+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z (+.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 4027292589444183035165374538123333/6638284800000000000000000000000 z))))))
9999999999998099/10000000000000000
(-.f64 9999999999998099/10000000000000000 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z 2))) (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 1078390842009938509147167/6250000000000000000000 (pow.f64 z 2))) (+.f64 (*.f64 611458333333720910362579/25000000000000000000000 (/.f64 1 z)) (*.f64 398308844029173303716389/6250000000000000000000 (/.f64 1 (pow.f64 z 3)))))
9999999999998099/10000000000000000
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(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))
(log.f64 (+.f64 1 (expm1.f64 (*.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 (*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))))
(log1p.f64 (expm1.f64 (*.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)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))
(+.f64 (-.f64 1 z) -1)
(+.f64 -1 (-.f64 1 z))
(*.f64 1 (neg.f64 z))
(*.f64 -1 z)
(*.f64 (*.f64 (cbrt.f64 (neg.f64 z)) (cbrt.f64 (neg.f64 z))) (cbrt.f64 (neg.f64 z)))
(*.f64 (sqrt.f64 (neg.f64 z)) (sqrt.f64 (neg.f64 z)))
(/.f64 (+.f64 (pow.f64 (-.f64 1 z) 3) -1) (fma.f64 (-.f64 1 z) (-.f64 1 z) (-.f64 1 (*.f64 (-.f64 1 z) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 z) 3) 1) (fma.f64 (-.f64 1 z) (-.f64 1 z) (+.f64 1 (*.f64 (-.f64 1 z) 1))))
(/.f64 (fma.f64 (-.f64 1 z) (-.f64 1 z) -1) (-.f64 2 z))
(pow.f64 (neg.f64 z) 1)
(neg.f64 z)
(log.f64 (exp.f64 (neg.f64 z)))
(log.f64 (+.f64 1 (expm1.f64 (neg.f64 z))))
(log.f64 (/.f64 1 (exp.f64 z)))
(cbrt.f64 (*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 z)))
(expm1.f64 (log1p.f64 (neg.f64 z)))
(log1p.f64 (expm1.f64 (neg.f64 z)))
(exp.f64 (log.f64 (neg.f64 z)))
(fma.f64 1 (-.f64 1 z) -1)
(fma.f64 (*.f64 (cbrt.f64 (-.f64 1 z)) (cbrt.f64 (-.f64 1 z))) (cbrt.f64 (-.f64 1 z)) -1)
(fma.f64 (sqrt.f64 (-.f64 1 z)) (sqrt.f64 (-.f64 1 z)) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) 1)
(*.f64 1 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))) (cbrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(*.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) 3) (pow.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) 3)) (fma.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (-.f64 (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (-.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))
(pow.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) 1)
(log.f64 (exp.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))))
(log.f64 (*.f64 (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))))
(log.f64 (*.f64 (exp.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (exp.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))))
(cbrt.f64 (*.f64 (*.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(expm1.f64 (log1p.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(log1p.f64 (expm1.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(exp.f64 (log.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))))
(fma.f64 1 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(fma.f64 1 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (cbrt.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (/.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 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (sqrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 2 (PI.f64)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (PI.f64))) 1)
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64))))))
(cbrt.f64 (*.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (*.f64 2 (PI.f64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) 1)
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))) (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (neg.f64 (fma.f64 -1 z 15/2)))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.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 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))))))
Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 2076511864126339/4000000000000 z))))
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z 2076511864126339/4000000000000))))
(fma.f64 z (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) 469507597606837/10000000000000)
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z (+.f64 2076511864126339/4000000000000 (*.f64 23912966683069397/40000000000000 z))))))
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z (+.f64 2076511864126339/4000000000000 (*.f64 z 23912966683069397/40000000000000))))))
(fma.f64 z (fma.f64 z (fma.f64 z 23912966683069397/40000000000000 2076511864126339/4000000000000) 904338909853211/2500000000000) 469507597606837/10000000000000)
(/.f64 5826188486005177/10000000000000 z)
(/.f64 (+.f64 5826188486005177/10000000000000 (*.f64 3683516130645841/2000000000000 (/.f64 1 z))) z)
(/.f64 (+.f64 5826188486005177/10000000000000 (/.f64 3683516130645841/2000000000000 z)) z)
(/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2)))) z)
(/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 z) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2)))) z)
(/.f64 (+.f64 (/.f64 3683516130645841/2000000000000 z) (+.f64 5826188486005177/10000000000000 (/.f64 43600364987677261/10000000000000 (pow.f64 z 2)))) z)
(/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 z)) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2))))) z)
(/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 z) (+.f64 (/.f64 43600364987677261/10000000000000 (pow.f64 z 2)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 3))))) z)
(/.f64 (+.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 3)))) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2))) z)
(/.f64 5826188486005177/10000000000000 z)
(/.f64 (+.f64 5826188486005177/10000000000000 (*.f64 3683516130645841/2000000000000 (/.f64 1 z))) z)
(/.f64 (+.f64 5826188486005177/10000000000000 (/.f64 3683516130645841/2000000000000 z)) z)
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (*.f64 43600364987677261/10000000000000 (/.f64 1 z))) z)) 5826188486005177/10000000000000) z))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (/.f64 43600364987677261/10000000000000 z)) z) -5826188486005177/10000000000000) z))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (/.f64 43600364987677261/10000000000000 z)) z) -5826188486005177/10000000000000) (neg.f64 z))
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 z)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 2)))) z)) 5826188486005177/10000000000000) z))
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (+.f64 (/.f64 43600364987677261/10000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 2)))) z) -5826188486005177/10000000000000) z))
(/.f64 (fma.f64 -1 (/.f64 (+.f64 (/.f64 43600364987677261/10000000000000 z) (+.f64 (/.f64 93965933656573373/10000000000000 (pow.f64 z 2)) 3683516130645841/2000000000000)) z) -5826188486005177/10000000000000) (neg.f64 z))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(fma.f64 z (*.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(fma.f64 z (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
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eval830.0ms (0.7%)

Compiler

Compiled 45626 to 36819 computations (19.3% saved)

prune174.0ms (0.1%)

Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New43129460
Fresh000
Picked314
Done000
Total43430464
Accuracy
99.9%
Counts
464 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
97.6%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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)))))
98.6%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.6%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
95.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.1%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
95.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.0%
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
96.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
6.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
3.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
98.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
95.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z 2076511864126339/4000000000000)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
94.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
93.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z (+.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z 4027292589444183035165374538123333/6638284800000000000000000000000))))))))
96.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z 64608921419941589693928044520019/118540800000000000000000000000))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
94.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
14.1%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 9999999999998099/10000000000000000))
96.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
Compiler

Compiled 4590 to 3836 computations (16.4% saved)

localize3.4s (2.8%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
98.5%
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.4%
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
98.5%
(*.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))))
98.4%
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.5%
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
98.5%
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
99.5%
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
99.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 9999999999998099/10000000000000000)
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
Results
2.3s255×256valid
8.0ms256valid
Compiler

Compiled 2089 to 1623 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.7s
Operation ival-sub, time spent: 456.0ms, 27.0% of total-time
Operation ival-div, time spent: 350.0ms, 21.0% of total-time
Operation ival-add, time spent: 335.0ms, 20.0% of total-time
Operation ival-pow, time spent: 207.0ms, 12.0% of total-time
Operation ival-mult, time spent: 120.0ms, 7.0% of total-time
Operation const, time spent: 97.0ms, 6.0% of total-time
Operation ival-exp, time spent: 69.0ms, 4.0% of total-time
Operation ival-sqrt, time spent: 33.0ms, 2.0% of total-time
Operation ival-neg, time spent: 16.0ms, 1.0% of total-time
Operation ival-cbrt, time spent: 6.0ms, 0.0% of total-time
Operation ival-sin, time spent: 4.0ms, 0.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series26.0ms (0%)

Counts
9 → 108
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))>
#<alt (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))>
#<alt (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 9999999999998099/10000000000000000)>
#<alt (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))>
#<alt (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))>
#<alt (/.f64 7713234287776531/10000000000000 (-.f64 3 z))>
#<alt (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))>
#<alt (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)>
#<alt (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))>
Outputs
#<alt (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt 371756020978964147/150000000000000000>
#<alt (+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))>
#<alt (+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 536852952257631293/5400000000000000000 z))))>
#<alt (+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 z (+.f64 536852952257631293/5400000000000000000 (*.f64 3224581990927430761/162000000000000000000 z))))))>
#<alt (/.f64 -154609652292764811/12500000000000000 z)>
#<alt (*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z))) z))>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1542632245546005107/25000000000000000 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 z))) z)) 154609652292764811/12500000000000000) z)>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 7692375563440167517/25000000000000000 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 z))) (pow.f64 z 2))) (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z)))) z)>
#<alt (/.f64 -154609652292764811/12500000000000000 z)>
#<alt (*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z))) z))>
#<alt (*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z)) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 2)))) z))>
#<alt (*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 7692375563440167517/25000000000000000 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 z))) z)) 1542632245546005107/25000000000000000) z))) z))>
#<alt (/.f64 9999999999998099/10000000000000000 z)>
#<alt (/.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 9999999999998099/60000000000000000 (*.f64 (pow.f64 z 2) (pow.f64 (PI.f64) 2)))) z)>
#<alt (/.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -9999999999998099/10000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))) (*.f64 9999999999998099/60000000000000000 (pow.f64 (PI.f64) 2))))) z)>
#<alt (/.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 9999999999998099/60000000000000000 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -9999999999998099/10000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (+.f64 (*.f64 1/720 (pow.f64 (PI.f64) 6)) (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))))))) (*.f64 -9999999999998099/10000000000000000 (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))))))) z)>
#<alt (*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (/.f64 1 z)>
#<alt (/.f64 (+.f64 1 (*.f64 1/6 (*.f64 (pow.f64 z 2) (pow.f64 (PI.f64) 2)))) z)>
#<alt (/.f64 (+.f64 1 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))) (*.f64 -1/6 (pow.f64 (PI.f64) 2))))) z)>
#<alt (/.f64 (+.f64 1 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (+.f64 (*.f64 1/720 (pow.f64 (PI.f64) 6)) (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))))))) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))) (*.f64 -1/6 (pow.f64 (PI.f64) 2))))) z)>
#<alt (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))>
#<alt (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))>
#<alt (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))>
#<alt (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))>
#<alt (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))>
#<alt (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))>
#<alt (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))>
#<alt (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))>
#<alt -41652288634797769/1000000000000000>
#<alt (-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)>
#<alt (-.f64 (*.f64 z (-.f64 (*.f64 -531910216885790327/200000000000000000 z) 105381455914863113/10000000000000000)) 41652288634797769/1000000000000000)>
#<alt (-.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -2679562833674850683/4000000000000000000 z) 531910216885790327/200000000000000000)) 105381455914863113/10000000000000000)) 41652288634797769/1000000000000000)>
#<alt (/.f64 32821537176690739/200000000000000 z)>
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#<alt 7713234287776531/30000000000000>
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#<alt (+.f64 7713234287776531/30000000000000 (*.f64 z (+.f64 7713234287776531/90000000000000 (*.f64 7713234287776531/270000000000000 z))))>
#<alt (+.f64 7713234287776531/30000000000000 (*.f64 z (+.f64 7713234287776531/90000000000000 (*.f64 z (+.f64 7713234287776531/270000000000000 (*.f64 7713234287776531/810000000000000 z))))))>
#<alt (/.f64 -7713234287776531/10000000000000 z)>
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#<alt (/.f64 -7713234287776531/10000000000000 z)>
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#<alt 371756020978964147/150000000000000000>
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#<alt (*.f64 (pow.f64 (exp.f64 -15/2) 3) (pow.f64 (sqrt.f64 15/2) 3))>
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#<alt (*.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) 3) (pow.f64 (exp.f64 (-.f64 z 15/2)) 3))>
#<alt (*.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) 3) (pow.f64 (exp.f64 (-.f64 z 15/2)) 3))>
#<alt (*.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) 3) (pow.f64 (exp.f64 (-.f64 z 15/2)) 3))>
#<alt (*.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) 3) (pow.f64 (exp.f64 (-.f64 z 15/2)) 3))>
#<alt (*.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) 3) (pow.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) 3))>
#<alt (*.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) 3) (pow.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) 3))>
#<alt (*.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) 3) (pow.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) 3))>
#<alt (*.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) 3) (pow.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) 3))>
#<alt (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
#<alt (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))>
Calls

27 calls:

TimeVariablePointExpression
4.0ms
z
@0
(pow (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) 3)
3.0ms
z
@0
(* (/ (PI) (sin (* (PI) z))) 9999999999998099/10000000000000000)
3.0ms
z
@-inf
(pow (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) 3)
2.0ms
z
@inf
(pow (* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2))) 3)
2.0ms
z
@-inf
(* (pow (- 15/2 z) (- 1/2 z)) (exp (+ z -15/2)))

rewrite105.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
491×log1p-expm1-u
491×expm1-log1p-u
484×add-exp-log
482×add-log-exp
478×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060353
11074351
Stop Event
node limit
Counts
9 → 169
Calls
Call 1
Inputs
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 9999999999998099/10000000000000000)
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(/.f64 7713234287776531/10000000000000 (-.f64 3 z))
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2))) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) 3) (pow.f64 (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)) 3) (pow.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))))
(exp.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (log.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)))))
(exp.f64 (*.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (log.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))) 1)
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 2)) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(/.f64 (fma.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 5) (*.f64 (+.f64 (-.f64 1 z) 4) -3464277381643003/25000000000000000)) (*.f64 (+.f64 (-.f64 1 z) 4) (+.f64 (-.f64 1 z) 5)))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) 3) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 3)) (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) 2) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) 2) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))) 1))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 4)) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)) 2)) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000))) 1)
(/.f64 (*.f64 (PI.f64) 9999999999998099/10000000000000000) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000)) 2)
(log.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000)))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) 1)
(*.f64 1 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2) (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2)
(pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (sin.f64 (*.f64 z (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))) 1)
(*.f64 1 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2) (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(/.f64 (fma.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 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (*.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) 2) (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2)) (-.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)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 3))
(expm1.f64 (log1p.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)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))) 1))
(fma.f64 1 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 -883075145810703/5000000000000 (/.f64 1 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) 2) (cbrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(fma.f64 (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (sqrt.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) 1)
(*.f64 1 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))
(*.f64 7713234287776531/10000000000000 (/.f64 1 (-.f64 3 z)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2) (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(*.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 1)
(pow.f64 (cbrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 3)
(pow.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 2)
(pow.f64 (/.f64 (-.f64 3 z) 7713234287776531/10000000000000) -1)
(log.f64 (exp.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))
(cbrt.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) 3))
(expm1.f64 (log1p.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(log1p.f64 (expm1.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))
(exp.f64 (*.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1)
(*.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(/.f64 (fma.f64 2501468655737381/200000000000000 (-.f64 6 z) (*.f64 (-.f64 5 z) -3464277381643003/25000000000000000)) (*.f64 (-.f64 5 z) (-.f64 6 z)))
(/.f64 (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 3) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 3)) (+.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (-.f64 (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2) (*.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) 2) (pow.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) 2)) (-.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) 1)
(*.f64 1 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(*.f64 (pow.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) 3)) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3))
(*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 3) (pow.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) 3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3/2) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2) 3) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(exp.f64 (*.f64 3 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) 1))

simplify214.0ms (0.2%)

Algorithm
egg-herbie
Rules
880×fma-define
878×associate-*r*
822×associate-*l*
650×distribute-lft-in
646×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075614553
1201813117
2737312983
Stop Event
node limit
Counts
277 → 326
Calls
Call 1
Inputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 536852952257631293/5400000000000000000 z))))
(+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 z (+.f64 536852952257631293/5400000000000000000 (*.f64 3224581990927430761/162000000000000000000 z))))))
(/.f64 -154609652292764811/12500000000000000 z)
(*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z))) z))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1542632245546005107/25000000000000000 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 z))) z)) 154609652292764811/12500000000000000) z)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 7692375563440167517/25000000000000000 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 z))) (pow.f64 z 2))) (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z)))) z)
(/.f64 -154609652292764811/12500000000000000 z)
(*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z))) z))
(*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z)) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 2)))) z))
(*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 7692375563440167517/25000000000000000 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 z))) z)) 1542632245546005107/25000000000000000) z))) z))
(/.f64 9999999999998099/10000000000000000 z)
(/.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 9999999999998099/60000000000000000 (*.f64 (pow.f64 z 2) (pow.f64 (PI.f64) 2)))) z)
(/.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -9999999999998099/10000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))) (*.f64 9999999999998099/60000000000000000 (pow.f64 (PI.f64) 2))))) z)
(/.f64 (+.f64 9999999999998099/10000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 9999999999998099/60000000000000000 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -9999999999998099/10000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (+.f64 (*.f64 1/720 (pow.f64 (PI.f64) 6)) (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))))))) (*.f64 -9999999999998099/10000000000000000 (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))))))) z)
(*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(*.f64 9999999999998099/10000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))
(/.f64 1 z)
(/.f64 (+.f64 1 (*.f64 1/6 (*.f64 (pow.f64 z 2) (pow.f64 (PI.f64) 2)))) z)
(/.f64 (+.f64 1 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))) (*.f64 -1/6 (pow.f64 (PI.f64) 2))))) z)
(/.f64 (+.f64 1 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 (pow.f64 z 2) (-.f64 (*.f64 -1 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (+.f64 (*.f64 1/720 (pow.f64 (PI.f64) 6)) (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))))))) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))) (*.f64 -1/6 (pow.f64 (PI.f64) 2))))) z)
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
-41652288634797769/1000000000000000
(-.f64 (*.f64 -105381455914863113/10000000000000000 z) 41652288634797769/1000000000000000)
(-.f64 (*.f64 z (-.f64 (*.f64 -531910216885790327/200000000000000000 z) 105381455914863113/10000000000000000)) 41652288634797769/1000000000000000)
(-.f64 (*.f64 z (-.f64 (*.f64 z (-.f64 (*.f64 -2679562833674850683/4000000000000000000 z) 531910216885790327/200000000000000000)) 105381455914863113/10000000000000000)) 41652288634797769/1000000000000000)
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(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (+.f64 (-.f64 1 z) 5)) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 1 z) 4)))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000))) 1)
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(log.f64 (pow.f64 (exp.f64 9999999999998099/10000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000))))
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(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000)))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 9999999999998099/10000000000000000)) 1))
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(pow.f64 (/.f64 (sin.f64 (*.f64 z (PI.f64))) (PI.f64)) -1)
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) 1)
(*.f64 1 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(*.f64 (pow.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) 3)) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3))
(*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 3) (pow.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) 3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3/2) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2) 3) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(exp.f64 (*.f64 3 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(exp.f64 (*.f64 (*.f64 3 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1)
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) 1))
Outputs
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(+.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(fma.f64 z (*.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(fma.f64 z (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(fma.f64 z (fma.f64 z (fma.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2)))) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) (*.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(fma.f64 z (fma.f64 z (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) 1/2))) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(+.f64 (*.f64 z (+.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 z (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (+.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(fma.f64 z (fma.f64 z (fma.f64 1/2 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 z (fma.f64 1/6 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (fma.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (fma.f64 29/225 (fma.f64 -1 (log.f64 15/2) -1/15) (*.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3))))) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2)))))))) (*.f64 (exp.f64 -15/2) (+.f64 (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2)))) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15)))))) (*.f64 (exp.f64 -15/2) (+.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 15/2) (fma.f64 -1 (log.f64 15/2) -1/15))))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(fma.f64 z (fma.f64 z (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/2 (fma.f64 z (fma.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1/6 (fma.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (+.f64 (+.f64 86/10125 (fma.f64 1/6 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 3) (*.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 29/225))) (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (*.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1/2)))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (+.f64 (fma.f64 1/2 (pow.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 2) 29/225) (fma.f64 -1 (log.f64 15/2) -1/15))))) (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2)))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (exp.f64 (-.f64 z 15/2)))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
371756020978964147/150000000000000000
(+.f64 371756020978964147/150000000000000000 (*.f64 446800080651085577/900000000000000000 z))
(+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))
(fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000)
(+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 536852952257631293/5400000000000000000 z))))
(+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 z 536852952257631293/5400000000000000000))))
(fma.f64 z (fma.f64 z 536852952257631293/5400000000000000000 446800080651085577/900000000000000000) 371756020978964147/150000000000000000)
(+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 z (+.f64 536852952257631293/5400000000000000000 (*.f64 3224581990927430761/162000000000000000000 z))))))
(+.f64 371756020978964147/150000000000000000 (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 z (+.f64 536852952257631293/5400000000000000000 (*.f64 z 3224581990927430761/162000000000000000000))))))
(fma.f64 z (fma.f64 z (fma.f64 z 3224581990927430761/162000000000000000000 536852952257631293/5400000000000000000) 446800080651085577/900000000000000000) 371756020978964147/150000000000000000)
(/.f64 -154609652292764811/12500000000000000 z)
(*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z))) z))
(neg.f64 (/.f64 (+.f64 154609652292764811/12500000000000000 (/.f64 1542632245546005107/25000000000000000 z)) z))
(/.f64 (+.f64 154609652292764811/12500000000000000 (/.f64 1542632245546005107/25000000000000000 z)) (neg.f64 z))
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1542632245546005107/25000000000000000 (*.f64 7692375563440167517/25000000000000000 (/.f64 1 z))) z)) 154609652292764811/12500000000000000) z)
(/.f64 (fma.f64 -1 (/.f64 (+.f64 1542632245546005107/25000000000000000 (/.f64 7692375563440167517/25000000000000000 z)) z) -154609652292764811/12500000000000000) z)
(/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 7692375563440167517/25000000000000000 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 z))) (pow.f64 z 2))) (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z)))) z)
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 7692375563440167517/25000000000000000 (/.f64 38337163831461689477/25000000000000000 z)) (pow.f64 z 2))) (+.f64 154609652292764811/12500000000000000 (/.f64 1542632245546005107/25000000000000000 z))) z)
(/.f64 (-.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 7692375563440167517/25000000000000000 (/.f64 38337163831461689477/25000000000000000 z)) z) -1542632245546005107/25000000000000000) z) 154609652292764811/12500000000000000) z)
(/.f64 -154609652292764811/12500000000000000 z)
(*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z))) z))
(neg.f64 (/.f64 (+.f64 154609652292764811/12500000000000000 (/.f64 1542632245546005107/25000000000000000 z)) z))
(/.f64 (+.f64 154609652292764811/12500000000000000 (/.f64 1542632245546005107/25000000000000000 z)) (neg.f64 z))
(*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (+.f64 (*.f64 1542632245546005107/25000000000000000 (/.f64 1 z)) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 2)))) z))
(neg.f64 (/.f64 (+.f64 154609652292764811/12500000000000000 (+.f64 (/.f64 1542632245546005107/25000000000000000 z) (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 2)))) z))
(/.f64 (+.f64 (/.f64 1542632245546005107/25000000000000000 z) (+.f64 154609652292764811/12500000000000000 (/.f64 7692375563440167517/25000000000000000 (pow.f64 z 2)))) (neg.f64 z))
(*.f64 -1 (/.f64 (+.f64 154609652292764811/12500000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 7692375563440167517/25000000000000000 (*.f64 38337163831461689477/25000000000000000 (/.f64 1 z))) z)) 1542632245546005107/25000000000000000) z))) z))
(neg.f64 (/.f64 (+.f64 154609652292764811/12500000000000000 (neg.f64 (/.f64 (fma.f64 -1 (/.f64 (+.f64 7692375563440167517/25000000000000000 (/.f64 38337163831461689477/25000000000000000 z)) z) -1542632245546005107/25000000000000000) z))) z))
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(expm1.f64 (log1p.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(exp.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 1 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 -3464277381643003/25000000000000000 (/.f64 1 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) 2) (cbrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (sqrt.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
(+.f64 (/.f64 2501468655737381/200000000000000 (+.f64 4 (-.f64 1 z))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 1 z) 5)))
(+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) 1)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)))
(*.f64 1 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(*.f64 (pow.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) 3)) (pow.f64 (exp.f64 (+.f64 z -15/2)) 3))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(*.f64 (pow.f64 (exp.f64 (+.f64 z -15/2)) 3) (pow.f64 (-.f64 15/2 z) (*.f64 (-.f64 1/2 z) 3)))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 2) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3/2) (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3/2))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2) 3) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 3))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3)))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(exp.f64 (*.f64 3 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(exp.f64 (*.f64 (*.f64 3 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z))))) 1))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))) 1)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 1)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3) 1/3)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 2)
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))
(exp.f64 (*.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))) 1))
(*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z)))

eval2.1s (1.7%)

Compiler

Compiled 100013 to 78818 computations (21.2% saved)

prune306.0ms (0.3%)

Pruning

43 alts after pruning (42 fresh and 1 done)

PrunedKeptTotal
New1192281220
Fresh101424
Picked505
Done011
Total1207431250
Accuracy
100.0%
Counts
1250 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(*.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)))))
51.7%
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.8%
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 3) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.1%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -1/2)) (exp.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2)))) 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)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.4%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 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)))))
95.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.8%
(*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.1%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.8%
(*.f64 (*.f64 (*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.0%
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
14.1%
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 9999999999998099/10000000000000000))
96.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (fma.f64 (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (sqrt.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 1 z)))
98.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
14.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 9999999999998099/10000000000000000 z))
93.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 3) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
6.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
3.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
98.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (sqrt.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
95.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z 2076511864126339/4000000000000)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
94.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
94.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z (+.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z 4027292589444183035165374538123333/6638284800000000000000000000000))))))))
96.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z 64608921419941589693928044520019/118540800000000000000000000000))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
94.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
93.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
14.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) 9999999999998099/10000000000000000))
93.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
96.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (neg.f64 (fma.f64 -1 z 15/2)) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
95.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
94.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (*.f64 (exp.f64 -45/2) (*.f64 (sqrt.f64 15/2) 15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
95.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (exp.f64 (*.f64 3 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
Compiler

Compiled 6330 to 5292 computations (16.4% saved)

localize2.5s (2.1%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
98.5%
(*.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))))
98.4%
(+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2))))
98.4%
(sqrt.f64 (PI.f64))
98.5%
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
99.5%
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
99.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
99.7%
(/.f64 9999999999998099/10000000000000000 z)
99.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 9999999999998099/10000000000000000 z))
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))
Results
1.8s255×256valid
7.0ms256valid
Compiler

Compiled 1870 to 1462 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.4s
Operation ival-sub, time spent: 414.0ms, 29.0% of total-time
Operation ival-div, time spent: 249.0ms, 17.0% of total-time
Operation ival-add, time spent: 249.0ms, 17.0% of total-time
Operation ival-pow, time spent: 164.0ms, 11.0% of total-time
Operation ival-mult, time spent: 121.0ms, 8.0% of total-time
Operation const, time spent: 84.0ms, 6.0% of total-time
Operation ival-exp, time spent: 69.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 54.0ms, 4.0% of total-time
Operation ival-neg, time spent: 23.0ms, 2.0% of total-time
Operation ival-sin, time spent: 3.0ms, 0.0% of total-time
Operation ival-pi, time spent: 2.0ms, 0.0% of total-time

series25.0ms (0%)

Counts
5 → 36
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 9999999999998099/10000000000000000 z))>
#<alt (/.f64 9999999999998099/10000000000000000 z)>
#<alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))>
#<alt (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))>
#<alt (sqrt.f64 (PI.f64))>
Outputs
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (/.f64 (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 z (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))) (sqrt.f64 (PI.f64))))) z)>
#<alt (/.f64 (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))) (*.f64 z (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 z (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (sqrt.f64 (PI.f64))))))) z)>
#<alt (/.f64 (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))) (*.f64 z (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))))) (*.f64 z (+.f64 (*.f64 9999999999998099/10000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))))))) (*.f64 9999999999998099/10000000000000000 (*.f64 (*.f64 z (+.f64 (*.f64 1/6 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))) (+.f64 (*.f64 1/2 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15))))) (+.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3))))))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))))))) (sqrt.f64 (PI.f64))))))))) z)>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))) z) (sqrt.f64 (PI.f64))))>
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#<alt 12777243138120953/60000000000000>
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#<alt (+.f64 12777243138120953/60000000000000 (*.f64 z (+.f64 53758197989915921/720000000000000 (*.f64 222980468271960011/8640000000000000 z))))>
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Calls

12 calls:

TimeVariablePointExpression
5.0ms
z
@inf
(+ (/ 7713234287776531/10000000000000 (- (- 1 z) -2)) (/ -883075145810703/5000000000000 (- (- 1 z) -3)))
4.0ms
z
@0
(* (* (sqrt (* (PI) 2)) (* (pow (+ (neg z) 15/2) (- 1/2 z)) (exp (+ z -15/2)))) (* (/ (PI) (sin (* (PI) z))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z))))
3.0ms
z
@inf
(* (* (sqrt (* (PI) 2)) (* (pow (+ (neg z) 15/2) (- 1/2 z)) (exp (+ z -15/2)))) (* (/ (PI) (sin (* (PI) z))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z))))
3.0ms
z
@-inf
(* (* (sqrt (* (PI) 2)) (* (pow (+ (neg z) 15/2) (- 1/2 z)) (exp (+ z -15/2)))) (* (/ (PI) (sin (* (PI) z))) (- 9999999999998099/10000000000000000 (/ (+ 611458333333720910362579/25000000000000000000000 (/ -1078390842009938509147167/6250000000000000000000 z)) z))))
2.0ms
z
@0
(* (* (sqrt (* (PI) 2)) (* (pow (+ (neg z) 15/2) (- 1/2 z)) (exp (+ z -15/2)))) (/ 9999999999998099/10000000000000000 z))

rewrite82.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
359×log1p-expm1-u
359×expm1-log1p-u
354×add-exp-log
352×add-log-exp
352×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047278
1795274
Stop Event
node limit
Counts
5 → 92
Calls
Call 1
Inputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 9999999999998099/10000000000000000 z))
(/.f64 9999999999998099/10000000000000000 z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
(+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))
(sqrt.f64 (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))))) 1)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 9999999999998099/10000000000000000) z)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))) 2)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))) 3))
(cbrt.f64 (*.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 (+.f64 z -15/2)))) 3) (pow.f64 (/.f64 9999999999998099/10000000000000000 z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 9999999999998099/10000000000000000 z) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 9999999999998099/10000000000000000 z))) 1)
(*.f64 9999999999998099/10000000000000000 (/.f64 1 z))
(*.f64 1 (/.f64 9999999999998099/10000000000000000 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 9999999999998099/10000000000000000 z)) 2) (cbrt.f64 (/.f64 9999999999998099/10000000000000000 z)))
(*.f64 (sqrt.f64 (/.f64 9999999999998099/10000000000000000 z)) (sqrt.f64 (/.f64 9999999999998099/10000000000000000 z)))
(pow.f64 (/.f64 9999999999998099/10000000000000000 z) 1)
(pow.f64 (cbrt.f64 (/.f64 9999999999998099/10000000000000000 z)) 3)
(pow.f64 (pow.f64 (/.f64 9999999999998099/10000000000000000 z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 9999999999998099/10000000000000000 z)) 2)
(pow.f64 (/.f64 z 9999999999998099/10000000000000000) -1)
(log.f64 (exp.f64 (/.f64 9999999999998099/10000000000000000 z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 9999999999998099/10000000000000000 z))))
(cbrt.f64 (pow.f64 (/.f64 9999999999998099/10000000000000000 z) 3))
(expm1.f64 (log1p.f64 (/.f64 9999999999998099/10000000000000000 z)))
(log1p.f64 (expm1.f64 (/.f64 9999999999998099/10000000000000000 z)))
(exp.f64 (log.f64 (/.f64 9999999999998099/10000000000000000 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 9999999999998099/10000000000000000 z)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))) 2)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))) 3))
(cbrt.f64 (*.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 (+.f64 z -15/2)))) 3) (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 1)
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3) (*.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))
(/.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(log1p.f64 (expm1.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))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.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 (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 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))

simplify167.0ms (0.1%)

Algorithm
egg-herbie
Rules
1040×associate-*r*
788×associate-*l*
622×distribute-lft-out
594×fma-define
582×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048610747
1131810085
253199693
Stop Event
node limit
Counts
128 → 197
Calls
Call 1
Inputs
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(*.f64 -1 (/.f64 (+.f64 47576671969241/80000000000 (*.f64 16075101696843969/10000000000000 (/.f64 1 z))) z))
(*.f64 -1 (/.f64 (+.f64 47576671969241/80000000000 (+.f64 (*.f64 16075101696843969/10000000000000 (/.f64 1 z)) (/.f64 41160703924046283/10000000000000 (pow.f64 z 2)))) z))
(*.f64 -1 (/.f64 (+.f64 47576671969241/80000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 41160703924046283/10000000000000 (*.f64 95223707106196353/10000000000000 (/.f64 1 z))) z)) 16075101696843969/10000000000000) z))) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))))) 1)
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 9999999999998099/10000000000000000) z)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))) 2)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z))) 3))
(cbrt.f64 (*.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 (+.f64 z -15/2)))) 3) (pow.f64 (/.f64 9999999999998099/10000000000000000 z) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 9999999999998099/10000000000000000 z) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (/.f64 9999999999998099/10000000000000000 z)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 9999999999998099/10000000000000000 z))) 1)
(*.f64 9999999999998099/10000000000000000 (/.f64 1 z))
(*.f64 1 (/.f64 9999999999998099/10000000000000000 z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 9999999999998099/10000000000000000 z)) 2) (cbrt.f64 (/.f64 9999999999998099/10000000000000000 z)))
(*.f64 (sqrt.f64 (/.f64 9999999999998099/10000000000000000 z)) (sqrt.f64 (/.f64 9999999999998099/10000000000000000 z)))
(pow.f64 (/.f64 9999999999998099/10000000000000000 z) 1)
(pow.f64 (cbrt.f64 (/.f64 9999999999998099/10000000000000000 z)) 3)
(pow.f64 (pow.f64 (/.f64 9999999999998099/10000000000000000 z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 9999999999998099/10000000000000000 z)) 2)
(pow.f64 (/.f64 z 9999999999998099/10000000000000000) -1)
(log.f64 (exp.f64 (/.f64 9999999999998099/10000000000000000 z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 9999999999998099/10000000000000000 z))))
(cbrt.f64 (pow.f64 (/.f64 9999999999998099/10000000000000000 z) 3))
(expm1.f64 (log1p.f64 (/.f64 9999999999998099/10000000000000000 z)))
(log1p.f64 (expm1.f64 (/.f64 9999999999998099/10000000000000000 z)))
(exp.f64 (log.f64 (/.f64 9999999999998099/10000000000000000 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 9999999999998099/10000000000000000 z)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))))) 1)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))) 2)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) 2))) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))) 3))
(cbrt.f64 (*.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 (+.f64 z -15/2)))) 3) (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))) 3) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (*.f64 (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))) 1)
(*.f64 1 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 2) (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(/.f64 (fma.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 3) (*.f64 (+.f64 (-.f64 1 z) 2) -883075145810703/5000000000000)) (*.f64 (+.f64 (-.f64 1 z) 2) (+.f64 (-.f64 1 z) 3)))
(/.f64 (-.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2)) (-.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))
(/.f64 (+.f64 (/.f64 458891030965964263706993392018425544321343929291/1000000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 2) 3)) (/.f64 -688641173045047177036613100428008022090298927/125000000000000000000000000000000000000 (pow.f64 (+.f64 (-.f64 1 z) 3) 3))) (+.f64 (pow.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) 2) (-.f64 (pow.f64 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)) 2) (*.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 1)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))) 2)
(log.f64 (exp.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3)))))
(log1p.f64 (expm1.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))
(fma.f64 7713234287776531/10000000000000 (/.f64 1 (+.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 (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 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/2) (pow.f64 (cbrt.f64 (PI.f64)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
Outputs
(*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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eval1.5s (1.3%)

Compiler

Compiled 90756 to 72742 computations (19.8% saved)

prune308.0ms (0.3%)

Pruning

52 alts after pruning (51 fresh and 1 done)

PrunedKeptTotal
New1102251127
Fresh112637
Picked505
Done011
Total1118521170
Accuracy
100.0%
Counts
1170 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(*.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)))))
51.5%
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) (+.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)))))
95.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 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)))))
97.6%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
95.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.1%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (log.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -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)))))
96.8%
(*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.8%
(*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
98.1%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.0%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 1 z)))
98.1%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))))
96.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 z 295755570232608827/540000000000000)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.7%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 9151757080597036297/30000000000000000 (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (*.f64 (*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
6.6%
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
97.0%
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
14.1%
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 9999999999998099/10000000000000000))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 1 z)))
98.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
93.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) 3) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
3.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
98.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
95.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z 2076511864126339/4000000000000)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
94.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
94.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z (+.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z 4027292589444183035165374538123333/6638284800000000000000000000000))))))))
96.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z 64608921419941589693928044520019/118540800000000000000000000000))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
94.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
6.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
93.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
14.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) 9999999999998099/10000000000000000))
14.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
6.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
93.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
96.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
95.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
95.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (exp.f64 (*.f64 3 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
14.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 9999999999998099/10000000000000000 z))))
14.0%
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
14.0%
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
Compiler

Compiled 7204 to 6032 computations (16.3% saved)

localize2.1s (1.8%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
98.5%
(+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))
98.5%
(*.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))))
98.4%
(sqrt.f64 (PI.f64))
98.5%
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
95.7%
(+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1)))
99.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000)
98.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
99.7%
(/.f64 9999999999998099/10000000000000000 z)
99.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
98.4%
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.5%
(+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))
98.5%
(*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2)))
98.4%
(sqrt.f64 (*.f64 (PI.f64) 2))
98.3%
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
Results
1.5s255×256valid
6.0ms256valid
Compiler

Compiled 1526 to 1187 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
Operation ival-sub, time spent: 322.0ms, 27.0% of total-time
Operation ival-add, time spent: 187.0ms, 16.0% of total-time
Operation ival-div, time spent: 173.0ms, 15.0% of total-time
Operation ival-pow, time spent: 135.0ms, 11.0% of total-time
Operation ival-mult, time spent: 134.0ms, 11.0% of total-time
Operation const, time spent: 69.0ms, 6.0% of total-time
Operation ival-exp, time spent: 66.0ms, 6.0% of total-time
Operation ival-sqrt, time spent: 47.0ms, 4.0% of total-time
Operation composed, time spent: 23.0ms, 2.0% of total-time
Operation ival-neg, time spent: 23.0ms, 2.0% of total-time
Operation ival-sin, time spent: 3.0ms, 0.0% of total-time
Operation ival-pi, time spent: 2.0ms, 0.0% of total-time

series20.0ms (0%)

Counts
7 → 72
Calls
Call 1
Inputs
#<alt (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))>
#<alt (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))>
#<alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))>
#<alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))>
#<alt (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000)>
#<alt (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7))))>
#<alt (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))>
Outputs
#<alt 469507597606837/10000000000000>
#<alt (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))>
#<alt (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 2076511864126339/4000000000000 z))))>
#<alt (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z (+.f64 2076511864126339/4000000000000 (*.f64 23912966683069397/40000000000000 z))))))>
#<alt (/.f64 5826188486005177/10000000000000 z)>
#<alt (/.f64 (+.f64 5826188486005177/10000000000000 (*.f64 3683516130645841/2000000000000 (/.f64 1 z))) z)>
#<alt (/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 z)) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2)))) z)>
#<alt (/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 z)) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2))))) z)>
#<alt (/.f64 5826188486005177/10000000000000 z)>
#<alt (/.f64 (+.f64 5826188486005177/10000000000000 (*.f64 3683516130645841/2000000000000 (/.f64 1 z))) z)>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (*.f64 43600364987677261/10000000000000 (/.f64 1 z))) z)) 5826188486005177/10000000000000) z))>
#<alt (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 3683516130645841/2000000000000 (+.f64 (*.f64 43600364987677261/10000000000000 (/.f64 1 z)) (/.f64 93965933656573373/10000000000000 (pow.f64 z 2)))) z)) 5826188486005177/10000000000000) z))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 9999999999998099/10000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))>
#<alt (/.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 z (+.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (PI.f64)))) (sqrt.f64 (pow.f64 (PI.f64) 3))))) z)>
#<alt (/.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))) (*.f64 z (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (PI.f64))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (PI.f64))) (+.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (PI.f64)))) (*.f64 -1/6 (*.f64 (PI.f64) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))) z)>
#<alt (/.f64 (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))))) (*.f64 z (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (+.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (PI.f64))))) (*.f64 z (+.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (-.f64 (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (PI.f64))) (+.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (PI.f64)))) (*.f64 -1/6 (*.f64 (PI.f64) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2)))))))) (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (*.f64 z (-.f64 (+.f64 (*.f64 1/6 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (PI.f64))) (+.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 86/10125 (+.f64 (*.f64 29/225 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)) (*.f64 1/6 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 3))))))) (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (+.f64 29/225 (*.f64 1/2 (pow.f64 (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15) 2)))))) (PI.f64))))) (*.f64 -1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (PI.f64)) (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 15/2) (-.f64 (*.f64 -1 (log.f64 15/2)) 1/15)))) (PI.f64))))))) (sqrt.f64 (pow.f64 (PI.f64) 3))))))))) z)>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))) (sin.f64 (*.f64 z (PI.f64))))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))) (sin.f64 (*.f64 z (PI.f64))))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))) (sin.f64 (*.f64 z (PI.f64))))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (-.f64 15/2 z)) (-.f64 1/2 z))) (*.f64 (exp.f64 (-.f64 z 15/2)) (sqrt.f64 2))) (sin.f64 (*.f64 z (PI.f64))))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))) (sin.f64 (*.f64 z (PI.f64))))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))) (sin.f64 (*.f64 z (PI.f64))))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))) (sin.f64 (*.f64 z (PI.f64))))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3)) (/.f64 (*.f64 (exp.f64 (neg.f64 (+.f64 15/2 (*.f64 -1 z)))) (*.f64 (exp.f64 (*.f64 (log.f64 (+.f64 15/2 (*.f64 -1 z))) (+.f64 1/2 (*.f64 -1 z)))) (sqrt.f64 2))) (sin.f64 (*.f64 z (PI.f64))))))>
#<alt (/.f64 1106209385320415913103082059/4200000000000000000000000 z)>
#<alt (/.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 1106209385320415913103082059/25200000000000000000000000 (*.f64 (pow.f64 z 2) (pow.f64 (PI.f64) 2)))) z)>
#<alt (/.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))) (*.f64 1106209385320415913103082059/25200000000000000000000000 (pow.f64 (PI.f64) 2))))) z)>
#<alt (/.f64 (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 1106209385320415913103082059/25200000000000000000000000 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1106209385320415913103082059/4200000000000000000000000 (*.f64 (pow.f64 z 2) (+.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 6)) (+.f64 (*.f64 1/720 (pow.f64 (PI.f64) 6)) (*.f64 1/6 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))))))) (*.f64 -1106209385320415913103082059/4200000000000000000000000 (+.f64 (*.f64 -1/36 (pow.f64 (PI.f64) 4)) (*.f64 1/120 (pow.f64 (PI.f64) 4))))))))) z)>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt (*.f64 1106209385320415913103082059/4200000000000000000000000 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))>
#<alt 1106209385320415913103082059/4200000000000000000000000>
#<alt (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 255590905325635605746351952839/705600000000000000000000000 z))>
#<alt (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 255590905325635605746351952839/705600000000000000000000000 (*.f64 2279179422194160697069041056297/4390400000000000000000000000 z))))>
#<alt (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 255590905325635605746351952839/705600000000000000000000000 (*.f64 z (+.f64 2279179422194160697069041056297/4390400000000000000000000000 (*.f64 146982484496518469829601937915679/245862400000000000000000000000 z))))))>
#<alt (*.f64 446800080651085577/900000000000000000 z)>
#<alt (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 8116215966570329533/37500000000000000 (/.f64 1 z))))>
#<alt (*.f64 z (+.f64 446800080651085577/900000000000000000 (+.f64 (*.f64 8116215966570329533/37500000000000000 (/.f64 1 z)) (/.f64 14565470961639621211637421/25000000000000000000000 (pow.f64 z 2)))))>
#<alt (*.f64 z (+.f64 446800080651085577/900000000000000000 (+.f64 (*.f64 8116215966570329533/37500000000000000 (/.f64 1 z)) (+.f64 (*.f64 11510987463923920410897167/6250000000000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 14565470961639621211637421/25000000000000000000000 (pow.f64 z 2))))))>
#<alt (*.f64 446800080651085577/900000000000000000 z)>
#<alt (*.f64 z (+.f64 446800080651085577/900000000000000000 (*.f64 8116215966570329533/37500000000000000 (/.f64 1 z))))>
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#<alt (*.f64 -1 (*.f64 z (-.f64 (*.f64 -1 (/.f64 (+.f64 8116215966570329533/37500000000000000 (+.f64 (*.f64 14565470961639621211637421/25000000000000000000000 (/.f64 1 z)) (/.f64 11510987463923920410897167/6250000000000000000000 (pow.f64 z 2)))) z)) 446800080651085577/900000000000000000)))>
#<alt 10409174657078461523082059/4200000000000000000000000>
#<alt (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 350291408665333106351952839/705600000000000000000000000 z))>
#<alt (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z (+.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 11784999493416810208044520019/118540800000000000000000000000 z))))>
#<alt (+.f64 10409174657078461523082059/4200000000000000000000000 (*.f64 z (+.f64 350291408665333106351952839/705600000000000000000000000 (*.f64 z (+.f64 11784999493416810208044520019/118540800000000000000000000000 (*.f64 396401817189495604203614369999/19914854400000000000000000000000 z))))))>
#<alt (/.f64 -309219557958850910362579/25000000000000000000000 z)>
#<alt (*.f64 -1 (/.f64 (+.f64 309219557958850910362579/25000000000000000000000 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 z))) z))>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 385658505730833990852833/6250000000000000000000 (*.f64 1923097008798534553716389/6250000000000000000000 (/.f64 1 z))) z)) 309219557958850910362579/25000000000000000000000) z)>
#<alt (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1923097008798534553716389/6250000000000000000000 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 z))) (pow.f64 z 2))) (+.f64 309219557958850910362579/25000000000000000000000 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 z)))) z)>
#<alt (/.f64 -309219557958850910362579/25000000000000000000000 z)>
#<alt (*.f64 -1 (/.f64 (+.f64 309219557958850910362579/25000000000000000000000 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 z))) z))>
#<alt (*.f64 -1 (/.f64 (+.f64 309219557958850910362579/25000000000000000000000 (+.f64 (*.f64 385658505730833990852833/6250000000000000000000 (/.f64 1 z)) (/.f64 1923097008798534553716389/6250000000000000000000 (pow.f64 z 2)))) z))>
#<alt (*.f64 -1 (/.f64 (+.f64 309219557958850910362579/25000000000000000000000 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 1923097008798534553716389/6250000000000000000000 (*.f64 9584312843660180496487187/6250000000000000000000 (/.f64 1 z))) z)) 385658505730833990852833/6250000000000000000000) z))) z))>
Calls

18 calls:

TimeVariablePointExpression
3.0ms
z
@0
(* (* (sqrt (* (PI) 2)) (* (pow (+ (neg z) 15/2) (- 1/2 z)) (exp (+ z -15/2)))) (* (/ (PI) (sin (* (PI) z))) 1106209385320415913103082059/4200000000000000000000000))
2.0ms
z
@inf
(* (* (sqrt (* (PI) 2)) (* (pow (+ (neg z) 15/2) (- 1/2 z)) (exp (+ z -15/2)))) (* (/ (PI) (sin (* (PI) z))) 1106209385320415913103082059/4200000000000000000000000))
2.0ms
z
@-inf
(* (* (sqrt (* (PI) 2)) (* (pow (+ (neg z) 15/2) (- 1/2 z)) (exp (+ z -15/2)))) (* (/ (PI) (sin (* (PI) z))) 1106209385320415913103082059/4200000000000000000000000))
2.0ms
z
@0
(* (* (sqrt (* (PI) 2)) (* (exp -15/2) (sqrt 15/2))) (/ 9999999999998099/10000000000000000 z))
1.0ms
z
@inf
(* (* (sqrt (* (PI) 2)) (* (exp -15/2) (sqrt 15/2))) (/ 9999999999998099/10000000000000000 z))

rewrite110.0ms (0.1%)

Algorithm
batch-egg-rewrite
Rules
642×log1p-expm1-u
642×expm1-log1p-u
609×pow1
462×add-exp-log
380×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084454
11561448
Stop Event
node limit
Counts
7 → 119
Calls
Call 1
Inputs
(fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.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 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
Outputs
(+.f64 (*.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))) 1)
(*.f64 1 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2) (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(*.f64 (sqrt.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (sqrt.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(pow.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 3)
(pow.f64 (pow.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 2)
(log.f64 (exp.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))
(cbrt.f64 (pow.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(log1p.f64 (expm1.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (log.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) 1)
(pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) 2)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 15/2)) (exp.f64 -15/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))))
(exp.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))))
(exp.f64 (*.f64 (+.f64 -15/2 (log.f64 (sqrt.f64 15/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z))))) 1)
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z)))) 2)
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (/.f64 9999999999998099/10000000000000000 z)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)))) 1)
(pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))) 2)
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 (exp.f64 (+.f64 z -15/2))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z))) (exp.f64 (+.f64 z -15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))))
(exp.f64 (+.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))) (+.f64 z -15/2)) (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))))
(exp.f64 (*.f64 (+.f64 (+.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (pow.f64 (fma.f64 -1 z 15/2) (-.f64 1/2 z)))) (+.f64 z -15/2)) (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))) 1)
(/.f64 (*.f64 (PI.f64) 1106209385320415913103082059/4200000000000000000000000) (sin.f64 (*.f64 z (PI.f64))))
(pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) 2)
(log.f64 (pow.f64 (exp.f64 1106209385320415913103082059/4200000000000000000000000) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) 1106209385320415913103082059/4200000000000000000000000)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) 12777243138120953/60000000000000)) (+.f64 (fma.f64 z 446800080651085577/900000000000000000 371756020978964147/150000000000000000) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))))) 1)
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(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 2)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1))
(fma.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(fma.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) 2) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
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(fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))

simplify203.0ms (0.2%)

Algorithm
egg-herbie
Rules
882×times-frac
682×associate-*r*
576×fma-define
560×associate-*l*
524×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061214158
1157112966
2546412878
Stop Event
node limit
Counts
191 → 269
Calls
Call 1
Inputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 2076511864126339/4000000000000 z))))
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z (+.f64 2076511864126339/4000000000000 (*.f64 23912966683069397/40000000000000 z))))))
(/.f64 5826188486005177/10000000000000 z)
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(/.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (*.f64 3683516130645841/2000000000000 (/.f64 1 z)) (+.f64 (*.f64 93965933656573373/10000000000000 (/.f64 1 (pow.f64 z 3))) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2))))) z)
(/.f64 5826188486005177/10000000000000 z)
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(pow.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 2)
(log.f64 (exp.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(exp.f64 (log.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))) 1))
(fma.f64 1 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(fma.f64 1 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(fma.f64 1 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
(fma.f64 2501468655737381/200000000000000 (/.f64 1 (-.f64 5 z)) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) 2) (cbrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) 2) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
Outputs
469507597606837/10000000000000
(+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z))
(fma.f64 904338909853211/2500000000000 z 469507597606837/10000000000000)
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 2076511864126339/4000000000000 z))))
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z 2076511864126339/4000000000000))))
(fma.f64 z (fma.f64 z 2076511864126339/4000000000000 904338909853211/2500000000000) 469507597606837/10000000000000)
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z (+.f64 2076511864126339/4000000000000 (*.f64 23912966683069397/40000000000000 z))))))
(+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z (+.f64 2076511864126339/4000000000000 (*.f64 z 23912966683069397/40000000000000))))))
(fma.f64 z (fma.f64 z (fma.f64 z 23912966683069397/40000000000000 2076511864126339/4000000000000) 904338909853211/2500000000000) 469507597606837/10000000000000)
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(/.f64 (+.f64 (+.f64 5826188486005177/10000000000000 (+.f64 (/.f64 3683516130645841/2000000000000 z) (/.f64 93965933656573373/10000000000000 (pow.f64 z 3)))) (/.f64 43600364987677261/10000000000000 (pow.f64 z 2))) z)
(/.f64 5826188486005177/10000000000000 z)
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(/.f64 (-.f64 -5826188486005177/10000000000000 (/.f64 (+.f64 3683516130645841/2000000000000 (/.f64 43600364987677261/10000000000000 z)) z)) (neg.f64 z))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z) 1106209385320415913103082059/4200000000000000000000000)
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) 2) (cbrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 6 (-.f64 1 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) 2) (cbrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 6 (-.f64 1 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(fma.f64 (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (sqrt.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 6 (-.f64 1 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (sqrt.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 6 (-.f64 1 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(fma.f64 (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (sqrt.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 6 (-.f64 1 z))) (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 1 (-.f64 z 7))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)))))
(+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))

eval982.0ms (0.8%)

Compiler

Compiled 59620 to 47386 computations (20.5% saved)

prune376.0ms (0.3%)

Pruning

53 alts after pruning (51 fresh and 2 done)

PrunedKeptTotal
New85015865
Fresh103646
Picked415
Done011
Total86453917
Accuracy
100.0%
Counts
917 → 53
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.0%
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
95.5%
(*.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z) 1106209385320415913103082059/4200000000000000000000000)
97.3%
(*.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)))))
94.6%
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (/.f64 1106209385320415913103082059/4200000000000000000000000 (sin.f64 (*.f64 z (PI.f64)))))))
95.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
97.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) (+.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)))))
97.7%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.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 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)))))
97.6%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)))) (expm1.f64 (log1p.f64 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -883075145810703/5000000000000 (-.f64 4 z)))))) (+.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)))))
98.9%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
95.5%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 12777243138120953/60000000000000) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
95.3%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) 1106209385320415913103082059/4200000000000000000000000)
98.1%
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (fma.f64 -1 (+.f64 (-.f64 1 z) 6) -1/2) (log.f64 (pow.f64 (-.f64 15/2 z) (+.f64 (-.f64 1 z) -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)))))
96.8%
(*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
96.8%
(*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.0%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 1 z)))
96.5%
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 z 295755570232608827/540000000000000)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
97.4%
(*.f64 (*.f64 (*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
6.6%
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
97.0%
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 9908947294301912793614221284049/6250000000000000000000000 (-.f64 2 z)) (-.f64 2 z)) (*.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
96.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 1 z)))
98.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
94.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
3.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 z))))
98.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
97.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
95.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z 2076511864126339/4000000000000)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
94.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
94.9%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
96.4%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z (+.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z 4027292589444183035165374538123333/6638284800000000000000000000000))))))))
96.3%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z 64608921419941589693928044520019/118540800000000000000000000000))))))
95.7%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
6.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
93.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
14.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
94.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
14.0%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
96.5%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
95.2%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (fma.f64 -1 z 15/2)))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
97.6%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
95.8%
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (exp.f64 (*.f64 3 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
14.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 9999999999998099/10000000000000000 z))))
14.0%
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 9999999999998099/10000000000000000 z))))
95.9%
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
95.6%
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
14.0%
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
14.0%
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
14.0%
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
Compiler

Compiled 10322 to 8303 computations (19.6% saved)

regimes134.0ms (0.1%)

Counts
101 → 1
Calls
Call 1
Inputs
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(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 9999999999998099/10000000000000000 z))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 1 z)))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
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(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 -31191860336727207531769765603776766852501482343/15625000000000000000000000000000000000 (pow.f64 (-.f64 2 z) 3)) (pow.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) 3)) (fma.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (*.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (-.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))))))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2))) 3))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (exp.f64 (log.f64 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (+.f64 (-.f64 1 z) -1) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000))) (cbrt.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) 9999999999998099/10000000000000000)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (fma.f64 z (*.f64 (exp.f64 -15/2) (*.f64 (+.f64 (fma.f64 -1 (log.f64 15/2) -1/15) 1) (sqrt.f64 15/2))) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
Calls

2 calls:

43.0ms
(*.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)))))
40.0ms
z
Results
AccuracySegmentsBranch
98.9%1z
98.9%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 126 to 111 computations (11.9% saved)

regimes94.0ms (0.1%)

Counts
78 → 1
Calls
Call 1
Inputs
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 9999999999998099/10000000000000000 z))))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
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(*.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (exp.f64 (*.f64 3 (+.f64 (+.f64 z -15/2) (*.f64 (-.f64 1/2 z) (log.f64 (-.f64 15/2 z)))))))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 9151757080597036297/30000000000000000 (*.f64 z (+.f64 40269435042492127/90000000000000 (*.f64 z 295755570232608827/540000000000000)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (-.f64 2 z)) (+.f64 9999999999998099/10000000000000000 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 7713234287776531/10000000000000 (+.f64 2 (-.f64 1 z)))))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (*.f64 (PI.f64) (/.f64 1 (sin.f64 (*.f64 z (PI.f64)))))))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
Calls

2 calls:

33.0ms
(*.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)))))
29.0ms
z
Results
AccuracySegmentsBranch
98.9%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2) (+.f64 (-.f64 (-.f64 1 z) 1) 1/2))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 1 z) 1) 7) 1/2)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 1))) (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 2))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 3))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 4))) (/.f64 2501468655737381/200000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 5))) (/.f64 -3464277381643003/25000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 6))) (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 7))) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 (-.f64 1 z) 1) 8)))))
98.9%1z
Compiler

Compiled 126 to 111 computations (11.9% saved)

regimes50.0ms (0%)

Counts
59 → 1
Calls
Call 1
Inputs
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 9999999999998099/10000000000000000 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) 9999999999998099/10000000000000000))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 1 z)))
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(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(*.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (/.f64 1106209385320415913103082059/4200000000000000000000000 (sin.f64 (*.f64 z (PI.f64)))))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (/.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 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
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Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) (+.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

1 calls:

29.0ms
z
Results
AccuracySegmentsBranch
98.9%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes35.0ms (0%)

Counts
48 → 1
Calls
Call 1
Inputs
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(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 371756020978964147/150000000000000000 (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
Calls

1 calls:

20.0ms
z
Results
AccuracySegmentsBranch
98.3%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes45.0ms (0%)

Counts
43 → 2
Calls
Call 1
Inputs
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(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
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(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z 64608921419941589693928044520019/118540800000000000000000000000))))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
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(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z 2076511864126339/4000000000000)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) 12777243138120953/60000000000000) (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
Outputs
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 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

1 calls:

31.0ms
z
Results
AccuracySegmentsBranch
98.7%2z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes21.0ms (0%)

Counts
40 → 1
Calls
Call 1
Inputs
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(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
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(*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 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 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (/.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) z) (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 (sqrt.f64 2) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)))) z))
(*.f64 (/.f64 (*.f64 (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 2) (sqrt.f64 15/2))) (sqrt.f64 (PI.f64))) z) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64)))) (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (PI.f64) (/.f64 1106209385320415913103082059/4200000000000000000000000 (sin.f64 (*.f64 z (PI.f64)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) 1106209385320415913103082059/4200000000000000000000000))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z 102757979785251069442117317613/235200000000000000000000000))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 611458333333720910362579/25000000000000000000000 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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) 1106209385320415913103082059/4200000000000000000000000)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z 64608921419941589693928044520019/118540800000000000000000000000))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 1106209385320415913103082059/4200000000000000000000000 (*.f64 z (+.f64 102757979785251069442117317613/235200000000000000000000000 (*.f64 z (+.f64 64608921419941589693928044520019/118540800000000000000000000000 (*.f64 z 4027292589444183035165374538123333/6638284800000000000000000000000))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 12777243138120953/60000000000000) (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 7713234287776531/30000000000000))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 904338909853211/2500000000000 z)) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 479507597606835099/10000000000000000 (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.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 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 469507597606837/10000000000000 (*.f64 z (+.f64 904338909853211/2500000000000 (*.f64 z 2076511864126339/4000000000000)))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
Outputs
(*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 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

1 calls:

15.0ms
z
Results
AccuracySegmentsBranch
96.8%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0%)

Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 9999999999998099/10000000000000000 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
(*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.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 (+.f64 (+.f64 (/.f64 -3147848041806007/2500000000000 (+.f64 (-.f64 1 z) 1)) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 1 z))) (/.f64 7713234287776531/10000000000000 (+.f64 (-.f64 1 z) 2)))) (/.f64 -883075145810703/5000000000000 (+.f64 (-.f64 1 z) 3))) (+.f64 (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (+.f64 (-.f64 1 z) 6)) (/.f64 3764081837873279/25000000000000000000000 (+.f64 (-.f64 1 z) 7))))) (/.f64 1 z)))
Outputs
(*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 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:

7.0ms
z
Results
AccuracySegmentsBranch
96.8%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 9999999999998099/10000000000000000 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) 9999999999998099/10000000000000000))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) (-.f64 9999999999998099/10000000000000000 (/.f64 (+.f64 611458333333720910362579/25000000000000000000000 (/.f64 -1078390842009938509147167/6250000000000000000000 z)) z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 1 z) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 469507597606837/10000000000000 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z)))))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
Calls

1 calls:

6.0ms
z
Results
AccuracySegmentsBranch
94.7%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (/.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (-.f64 15/2 z)))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (*.f64 (exp.f64 (+.f64 -15/2 z)) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 9999999999998099/10000000000000000 z))
Outputs
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
Calls

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
14.0%1z
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (*.f64 (exp.f64 -15/2) (*.f64 (sqrt.f64 15/2) (/.f64 9999999999998099/10000000000000000 z))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (/.f64 9999999999998099/10000000000000000 z))
(/.f64 (*.f64 (*.f64 (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2)) (sqrt.f64 (*.f64 2 (PI.f64)))) 9999999999998099/10000000000000000) z)
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (exp.f64 -15/2) (sqrt.f64 15/2))) (*.f64 9999999999998099/10000000000000000 (/.f64 1 z)))
Outputs
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
Calls

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
14.0%1z
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch58.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
56.0ms
-8.51024111341409e-15
-5.115249174125002e-20
Results
42.0ms79×256valid
1.0ms256valid
Compiler

Compiled 973 to 829 computations (14.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
Operation ival-sub, time spent: 8.0ms, 25.0% of total-time
Operation ival-add, time spent: 7.0ms, 22.0% of total-time
Operation ival-div, time spent: 5.0ms, 15.0% of total-time
Operation ival-mult, time spent: 3.0ms, 9.0% of total-time
Operation ival-pow, time spent: 3.0ms, 9.0% of total-time
Operation ival-sin, time spent: 2.0ms, 6.0% of total-time
Operation const, time spent: 2.0ms, 6.0% of total-time
Operation ival-pi, time spent: 1.0ms, 3.0% of total-time
Operation ival-exp, time spent: 1.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 1.0ms, 3.0% of total-time
Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

simplify297.0ms (0.2%)

Algorithm
egg-herbie
Rules
1052×distribute-lft-neg-in
658×neg-mul-1
652×distribute-neg-in
614×neg-sub0
530×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01732599
12882579
23322579
33702579
43962579
54572579
65142579
76342579
88102579
910012579
1012022579
1114842579
1217752579
1321382579
1425462579
1529312579
1632342579
1734092579
1835252579
1936242579
2036782579
2136802579
2236802579
2337182579
2437262579
2537262579
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (+.f64 (*.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z))) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (exp.f64 (+.f64 -15/2 z))))) (+.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 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (+.f64 (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z)))) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 5 z)) (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z))))))))
(if (<=.f64 z -2535301200456459/1267650600228229401496703205376) (*.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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (+.f64 (+.f64 (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 7 z)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 8 z))) (+.f64 (+.f64 (/.f64 6765203681218851/10000000000000 (-.f64 1 z)) (/.f64 -3147848041806007/2500000000000 (-.f64 2 z))) (+.f64 9999999999998099/10000000000000000 (/.f64 7713234287776531/10000000000000 (-.f64 3 z))))) (+.f64 (/.f64 -3464277381643003/25000000000000000 (-.f64 6 z)) (+.f64 (/.f64 -883075145810703/5000000000000 (-.f64 4 z)) (/.f64 2501468655737381/200000000000000 (-.f64 5 z))))))) (*.f64 (*.f64 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 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 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 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 (/.f64 1 z) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (/.f64 6765203681218851/10000000000000 (-.f64 (-.f64 1 z) 0))) (/.f64 -3147848041806007/2500000000000 (-.f64 (-.f64 1 z) -1))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 371756020978964147/150000000000000000 (*.f64 z 446800080651085577/900000000000000000))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 1/2 z)) (exp.f64 (+.f64 z -15/2)))) (/.f64 1106209385320415913103082059/4200000000000000000000000 z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
Outputs
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (+.f64 (neg.f64 z) 15/2) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 (-.f64 1 z) 1/2)) (exp.f64 (+.f64 (neg.f64 (-.f64 (-.f64 1 z) -6)) -1/2))))) (+.f64 (+.f64 (+.f64 (+.f64 9999999999998099/10000000000000000 (fma.f64 -3147848041806007/2500000000000 (/.f64 1 (-.f64 2 z)) (/.f64 6765203681218851/10000000000000 (-.f64 1 z)))) (+.f64 (/.f64 7713234287776531/10000000000000 (-.f64 (-.f64 1 z) -2)) (/.f64 -883075145810703/5000000000000 (-.f64 (-.f64 1 z) -3)))) (+.f64 (/.f64 2501468655737381/200000000000000 (-.f64 (-.f64 1 z) -4)) (/.f64 -3464277381643003/25000000000000000 (-.f64 (-.f64 1 z) -5)))) (+.f64 (/.f64 2496092394504893/250000000000000000000 (-.f64 (-.f64 1 z) -6)) (/.f64 3764081837873279/25000000000000000000000 (-.f64 (-.f64 1 z) -7)))))
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(*.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 1106209385320415913103082059/4200000000000000000000000 z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 -15/2 z)) (*.f64 (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (exp.f64 (+.f64 z -15/2)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (pow.f64 (-.f64 15/2 z) (-.f64 1/2 z)))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (exp.f64 -15/2) (sqrt.f64 (*.f64 2 (PI.f64))))) z))
(*.f64 9999999999998099/10000000000000000 (/.f64 (*.f64 (sqrt.f64 15/2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (exp.f64 -15/2))) z))
Compiler

Compiled 750 to 634 computations (15.5% saved)

soundness1.3s (1.1%)

Rules
1316×associate-+r+
1222×distribute-rgt-in
1194×distribute-lft-in
1040×associate-*r*
958×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01051488
12841328
212851072
048610747
1131810085
253199693
047278
1795274
061214158
1157112966
2546412878
084454
11561448
0113777
12442699
078323218
1210520738
2798720738
075614553
1201813117
2737312983
Stop Event
node limit
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 4612 to 3707 computations (19.6% saved)

end1.0ms (0%)

preprocess351.0ms (0.3%)

Compiler

Compiled 1730 to 1428 computations (17.5% saved)

Profiling

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