Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 25.4s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

analyze864.0ms (3.4%)

Memory
-25.1MiB live, 1 017.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%74.9%25.1%0%0%0%0
0%0%74.9%25.1%0%0%0%1
0%0%74.9%25.1%0%0%0%2
25%18.7%56.2%25.1%0%0%0%3
50%37.5%37.5%25.1%0%0%0%4
56.3%42.1%32.8%25.1%0%0%0%5
62.5%46.8%28.1%25.1%0%0%0%6
64.1%48%26.9%25.1%0%0%0%7
65.6%49.2%25.8%25.1%0%0%0%8
66%49.5%25.5%25.1%0%0%0%9
66.4%49.8%25.2%25.1%0%0%0%10
66.5%49.8%25.1%25.1%0%0%0%11
66.6%49.9%25.1%25.1%0%0%0%12
Compiler

Compiled 127 to 61 computations (52% saved)

sample10.5s (41.1%)

Memory
-53.5MiB live, 10 222.9MiB allocated
Samples
5.9s8 256×0valid
2.6s3 866×0invalid
71.0ms99×0exit
Precisions
Click to see histograms. Total time spent on operations: 7.5s
const: 2.5s (33.4% of total)
ival-add: 1.6s (21.4% of total)
ival-div: 1.0s (14% of total)
ival-mult: 625.0ms (8.4% of total)
ival-sub: 480.0ms (6.4% of total)
ival-sinu: 405.0ms (5.4% of total)
ival-pow: 307.0ms (4.1% of total)
ival-sqrt: 132.0ms (1.8% of total)
ival-exp: 130.0ms (1.7% of total)
ival-neg: 76.0ms (1% of total)
exact: 64.0ms (0.9% of total)
ival-pi: 60.0ms (0.8% of total)
ival-<=: 46.0ms (0.6% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

explain1.8s (7%)

Memory
9.9MiB live, 2 425.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2500-0-(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
40-0-(sin.f64 (*.f64 (PI.f64) z))
40-0-(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
00-0-(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
00-0-(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
00-0-#s(literal 8 binary64)
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-#s(literal 9999999999998099/10000000000000000 binary64)
00-0-(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
00-0-(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
00-0-#s(literal 7713234287776531/10000000000000 binary64)
00-0-(*.f64 (PI.f64) z)
00-0-#s(literal 1/2 binary64)
00-0-#s(literal 7 binary64)
00-0-(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-#s(literal 6765203681218851/10000000000000 binary64)
00-0-#s(literal 3764081837873279/25000000000000000000000 binary64)
00-0-z
00-0-(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
00-0-(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
00-0-(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
00-0-#s(literal 6 binary64)
00-0-(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
00-0-(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))
00-0-(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))
00-0-(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
00-0-(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
00-0-#s(literal -883075145810703/5000000000000 binary64)
00-0-#s(literal 5 binary64)
00-0-(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
00-0-#s(literal -3147848041806007/2500000000000 binary64)
00-0-#s(literal -3464277381643003/25000000000000000 binary64)
00-0-#s(literal 2501468655737381/200000000000000 binary64)
00-0-(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
00-0-(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
00-0-(PI.f64)
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
00-0-(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
00-0-(*.f64 (PI.f64) #s(literal 2 binary64))
00-0-#s(literal 4 binary64)
00-0-#s(literal 2496092394504893/250000000000000000000 binary64)
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
00-0-(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
00-0-(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
00-0-(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
00-0-(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
00-0-(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))cancellation230
*.f64(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))o*u40
↳(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))overflow4
↳(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))overflow4
↳(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))underflow4
sin.f64(sin.f64 (*.f64 (PI.f64) z))sensitivity40
Confusion
Predicted +Predicted -
+40
-23229
Precision
0.14814814814814814
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+400
-230229
Precision?
0.14814814814814814
Recall?
1.0
Freqs
test
numberfreq
0229
123
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
513.0ms318×1valid
227.0ms136×2valid
134.0ms58×0valid
Compiler

Compiled 2 806 to 244 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 781.0ms
ival-add: 219.0ms (28.1% of total)
ival-div: 154.0ms (19.7% of total)
const: 125.0ms (16% of total)
adjust: 120.0ms (15.4% of total)
ival-sinu: 37.0ms (4.7% of total)
ival-mult: 32.0ms (4.1% of total)
ival-pow: 23.0ms (2.9% of total)
ival-neg: 23.0ms (2.9% of total)
ival-sub: 21.0ms (2.7% of total)
ival-exp: 13.0ms (1.7% of total)
ival-pi: 6.0ms (0.8% of total)
ival-sqrt: 4.0ms (0.5% of total)
exact: 3.0ms (0.4% of total)
ival-true: 1.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)

preprocess181.0ms (0.7%)

Memory
-5.3MiB live, 236.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062227
1168193
2718149
35313149
060123
0101101
119795
265776
3416874
0822174
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))))
Compiler

Compiled 123 to 60 computations (51.2% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Compiler

Compiled 123 to 60 computations (51.2% saved)

simplify136.0ms (0.5%)

Memory
3.8MiB live, 159.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff192
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060893
0101721
1197677
2657534
34168523
08221523
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 7 binary64)
#s(literal 1/2 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))
(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 6765203681218851/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal -3147848041806007/2500000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
#s(literal 7713234287776531/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
#s(literal 2501468655737381/200000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
#s(literal 2496092394504893/250000000000000000000 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (PI.f64) z)
(*.f64 z (PI.f64))
z
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
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(*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 15/2 binary64) z)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(-.f64 #s(literal 7 binary64) z)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(neg.f64 z)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 7 binary64)
#s(literal 1/2 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) z)
(exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (-.f64 z #s(literal 15/2 binary64)))
(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))
(-.f64 z #s(literal 15/2 binary64))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
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(+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
#s(literal 6765203681218851/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
#s(literal -3147848041806007/2500000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) z)
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
#s(literal 7713234287776531/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(-.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
(-.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
#s(literal 2501468655737381/200000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
(-.f64 #s(literal 5 binary64) z)
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
(-.f64 #s(literal 6 binary64) z)
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
(-.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)

localize396.0ms (1.6%)

Memory
1.8MiB live, 389.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.74609375
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
accuracy2.7533764246246153
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Samples
215.0ms159×1valid
110.0ms68×2valid
14.0ms29×0valid
Compiler

Compiled 1 788 to 122 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 251.0ms
adjust: 63.0ms (25.1% of total)
const: 59.0ms (23.5% of total)
ival-add: 44.0ms (17.6% of total)
ival-div: 30.0ms (12% of total)
ival-mult: 16.0ms (6.4% of total)
ival-pow: 12.0ms (4.8% of total)
ival-exp: 9.0ms (3.6% of total)
ival-sub: 6.0ms (2.4% of total)
ival-sinu: 4.0ms (1.6% of total)
ival-neg: 3.0ms (1.2% of total)
ival-sqrt: 2.0ms (0.8% of total)
ival-pi: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-29.2MiB live, 16.9MiB allocated
Counts
7 → 72
Calls
Call 1
Inputs
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (patch (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 15/2 (taylor 0 z) (#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 15/2 (* -1 z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 15/2 (* -1 z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 15/2 (* -1 z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 7 (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 7 (* -1 z)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 7 (* -1 z)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 7 (* -1 z)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 z)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 z)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 z)) (taylor 0 z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 479507597606835099/10000000000000000 (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z)) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z)))) (taylor 0 z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 z) (taylor -inf z) (#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 15/2 (/ 1 z))))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 15/2 (/ 1 z))))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 15/2 (/ 1 z))))) (taylor -inf z) (#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 7 (/ 1 z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 7 (/ 1 z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 7 (/ 1 z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 1/2 (/ 1 z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 1/2 (/ 1 z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (- 1 (* 1/2 (/ 1 z))))) (taylor -inf z) (#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt 9999999999998099/10000000000000000 (taylor -inf z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z))) (taylor -inf z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2)))) (taylor -inf z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z))) (taylor -inf z) (#s(alt (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (patch (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) (taylor -inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) (taylor -inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) (taylor -inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))) (taylor -inf z) (#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
8.0ms
z
@-inf
((- (- 1 z) 1) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (* (PI) 2)))
3.0ms
z
@inf
((- (- 1 z) 1) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (* (PI) 2)))
2.0ms
z
@0
((- (- 1 z) 1) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (* (PI) 2)))

simplify162.0ms (0.6%)

Memory
30.1MiB live, 218.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148733
1456692
21457648
35123623
08133605
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
7
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(+ 7 (* -1 z))
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
479507597606835099/10000000000000000
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(+ (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (* z (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* -1 z)
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 7 (/ 1 z)) 1))
(* z (- (* 7 (/ 1 z)) 1))
(* -1 z)
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
Outputs
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
7
#s(literal 7 binary64)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
479507597606835099/10000000000000000
#s(literal 479507597606835099/10000000000000000 binary64)
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(fma.f64 #s(literal 904338909853211/2500000000000 binary64) z #s(literal 479507597606835099/10000000000000000 binary64))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
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rewrite190.0ms (0.7%)

Memory
28.5MiB live, 257.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02787
04671
123662
2211562
0851162
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 363
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
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Outputs
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eval376.0ms (1.5%)

Memory
-15.0MiB live, 505.7MiB allocated
Compiler

Compiled 172 477 to 8 424 computations (95.1% saved)

prune85.0ms (0.3%)

Memory
-27.9MiB live, 137.5MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New1 287171 304
Fresh000
Picked101
Done000
Total1 288171 305
Accuracy
98.6%
Counts
1 305 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
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95.8%
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95.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -3147848041806007/2500000000000 binary64) (fma.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)) #s(literal 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 binary64) #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64)))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶96.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.8%
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94.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
21.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶95.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶95.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶97.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶93.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Compiler

Compiled 3 888 to 2 038 computations (47.6% saved)

simplify152.0ms (0.6%)

Memory
19.5MiB live, 174.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff384
(/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
cost-diff384
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff192
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff192
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff5824
(exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01274433
02163660
14223490
215492746
374672746
081232746
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
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(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal -13/2 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 6765203681218851/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal -3147848041806007/2500000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
#s(literal 7713234287776531/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
#s(literal 2501468655737381/200000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
#s(literal 2496092394504893/250000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))))) (*.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (PI.f64) z)
(*.f64 z (PI.f64))
z
(*.f64 (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (exp.f64 (+.f64 #s(literal -15/2 binary64) z)))
(exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
(*.f64 (*.f64 (exp.f64 (+.f64 #s(literal -15/2 binary64) z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (+.f64 #s(literal -15/2 binary64) z)))
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(fma.f64 (-.f64 #s(literal 1/2 binary64) z) (log.f64 (-.f64 #s(literal 15/2 binary64) z)) (+.f64 #s(literal -15/2 binary64) z))
(log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))
(log.f64 (-.f64 #s(literal 15/2 binary64) z))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
(-.f64 #s(literal 15/2 binary64) z)
(-.f64 #s(literal 1 binary64) z)
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(+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
(+.f64 (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))
(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
#s(literal 6765203681218851/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(neg.f64 z)
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
#s(literal -3147848041806007/2500000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) z)
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
#s(literal 7713234287776531/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(-.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
(-.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
#s(literal 2501468655737381/200000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
(-.f64 #s(literal 5 binary64) z)
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
(-.f64 #s(literal 6 binary64) z)
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(-.f64 #s(literal 7 binary64) z)
#s(literal 7 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
(-.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)

localize842.0ms (3.3%)

Memory
66.5MiB live, 1 017.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.75
(/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
accuracy2.7533764246246153
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy1.74609375
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64)))))
accuracy2.3199058000326276
#s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64))
accuracy2.7533764246246153
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy1.0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.4493584909298005
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
accuracy1.74609375
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.5786850574491815
#s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64))))
accuracy2.7533764246246153
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy1.0
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.9289600827781916
(exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))))
accuracy2.7533764246246153
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Samples
371.0ms159×1valid
191.0ms68×2valid
27.0ms29×0valid
Compiler

Compiled 8 415 to 206 computations (97.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 412.0ms
ival-add: 87.0ms (21.1% of total)
const: 80.0ms (19.4% of total)
adjust: 57.0ms (13.8% of total)
ival-mult: 51.0ms (12.4% of total)
ival-div: 37.0ms (9% of total)
ival-exp: 22.0ms (5.3% of total)
ival-pow: 22.0ms (5.3% of total)
ival-sub: 14.0ms (3.4% of total)
ival-log: 14.0ms (3.4% of total)
ival-sqrt: 10.0ms (2.4% of total)
ival-pi: 7.0ms (1.7% of total)
ival-neg: 5.0ms (1.2% of total)
ival-sinu: 4.0ms (1% of total)
exact: 2.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series36.0ms (0.1%)

Memory
-19.4MiB live, 56.9MiB allocated
Counts
21 → 216
Calls
Call 1
Inputs
#s(alt (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (patch (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())
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Outputs
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Calls

3 calls:

TimeVariablePointExpression
11.0ms
z
@0
((exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (- (- 1 z) 1) (- (- 1 z) -13/2) (- (- 1 z) 1/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (log (* (PI) 2)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (PI)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* (PI) 2)) (+ (+ (- (- 1 z) 1) 7) 1/2) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))))
6.0ms
z
@-inf
((exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (- (- 1 z) 1) (- (- 1 z) -13/2) (- (- 1 z) 1/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (log (* (PI) 2)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (PI)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* (PI) 2)) (+ (+ (- (- 1 z) 1) 7) 1/2) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))))
4.0ms
z
@inf
((exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (- (- 1 z) 1) (- (- 1 z) -13/2) (- (- 1 z) 1/2) (+ (- (- 1 z) 1) 1) (+ (- (- 1 z) 1) 2) (+ (- (- 1 z) 1) 3) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (log (* (PI) 2)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (sqrt (PI)) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* (PI) 2)) (+ (+ (- (- 1 z) 1) 7) 1/2) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))))

simplify190.0ms (0.7%)

Memory
15.0MiB live, 252.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03523794
111223622
236983379
083903201
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
Calls
Call 1
Inputs
(exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
2
(+ 2 (* -1 z))
(+ 2 (* -1 z))
(+ 2 (* -1 z))
3
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(+ 3 (* -1 z))
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
7
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(+ 7 (* -1 z))
1/2
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(+ 1/2 (* -1 z))
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))
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(/ (sqrt 15/2) (exp 15/2))
(+ (* z (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))) (/ (sqrt 15/2) (exp 15/2)))
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479507597606835099/10000000000000000
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(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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(+ (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))))) (* (* z (+ (* 1/6 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))))) (+ (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3))))))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (* (exp -15/2) (* (sqrt 2) (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)))))))) (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
479507597606835099/10000000000000000
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15/2
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(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(exp (- (+ (* 1/2 (log (* 2 (PI)))) (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (+ 15/2 (* -1 z))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 z)
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 (* z (- 1 (* 2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(* 9999999999998099/10000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (exp (+ 15/2 (* -1 z))))) (sqrt (PI)))) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))))
(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (exp (+ 15/2 (* -1 z))))) (sqrt (PI)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (exp (+ 15/2 (* -1 z))))) (sqrt (PI)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))))
(/ (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (exp (+ 15/2 (* -1 z))))
(/ (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (exp (+ 15/2 (* -1 z))))
(/ (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (exp (+ 15/2 (* -1 z))))
(/ (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (exp (+ 15/2 (* -1 z))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
Outputs
(exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))
(exp.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64)))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
(fma.f64 (*.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64)))) (exp.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))) (exp.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(fma.f64 (*.f64 (exp.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))) (fma.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64)) z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))))) z (exp.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))))
(+ (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (* z (+ (* z (+ (* z (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(fma.f64 (fma.f64 (*.f64 (exp.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))) (fma.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 #s(literal 1304/10125 binary64) (*.f64 #s(literal -29/225 binary64) (log.f64 #s(literal 15/2 binary64))))) z (fma.f64 (pow.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64)))) z (*.f64 (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) (exp.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))))) z (exp.f64 (fma.f64 (+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (log.f64 #s(literal 15/2 binary64))) #s(literal 1/2 binary64) #s(literal -15/2 binary64))))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
2
#s(literal 2 binary64)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
(+ 2 (* -1 z))
(-.f64 #s(literal 2 binary64) z)
3
#s(literal 3 binary64)
(+ 3 (* -1 z))
(-.f64 #s(literal 3 binary64) z)
(+ 3 (* -1 z))
(-.f64 #s(literal 3 binary64) z)
(+ 3 (* -1 z))
(-.f64 #s(literal 3 binary64) z)
15/2
#s(literal 15/2 binary64)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
(+ 15/2 (* -1 z))
(-.f64 #s(literal 15/2 binary64) z)
7
#s(literal 7 binary64)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
(-.f64 #s(literal 7 binary64) z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (exp 15/2)) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))) (sqrt (PI))))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 (fma.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))) z (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal 15/2 binary64))))))
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rewrite240.0ms (0.9%)

Memory
-4.7MiB live, 305.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109395
0179330
1732306
27147306
08140301
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 594
Calls
Call 1
Inputs
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Outputs
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eval1.4s (5.3%)

Memory
-122.3MiB live, 2 177.6MiB allocated
Compiler

Compiled 484 398 to 14 875 computations (96.9% saved)

prune175.0ms (0.7%)

Memory
-33.7MiB live, 506.3MiB allocated
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New4 115204 135
Fresh9312
Picked505
Done000
Total4 129234 152
Accuracy
99.6%
Counts
4 152 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.3%
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97.5%
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▶95.8%
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95.8%
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98.3%
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98.4%
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96.0%
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96.3%
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▶96.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 7) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
22.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶98.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
4.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (exp.f64 (fma.f64 (log.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶97.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶94.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
Compiler

Compiled 4 578 to 2 676 computations (41.5% saved)

simplify165.0ms (0.7%)

Memory
14.3MiB live, 171.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff192
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
cost-diff192
(+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff0
(sin.f64 (*.f64 (PI.f64) z))
cost-diff0
(PI.f64)
cost-diff0
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
cost-diff0
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
cost-diff128
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
cost-diff192
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01673934
02783263
15103119
217192605
378782605
081942605
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64)))
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
(neg.f64 z)
#s(literal -13/2 binary64)
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
#s(literal -1 binary64)
(+.f64 #s(literal -13/2 binary64) z)
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(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
z
(*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
(*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal -13/2 binary64)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
#s(literal -1 binary64)
(+.f64 #s(literal -13/2 binary64) z)
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
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(+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 6765203681218851/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
#s(literal -3147848041806007/2500000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
#s(literal 7713234287776531/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
#s(literal 2501468655737381/200000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
#s(literal 2496092394504893/250000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
Outputs
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(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (PI.f64) z)
(*.f64 z (PI.f64))
z
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
(*.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z)) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z)) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))))))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
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(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
(+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))
#s(literal 9999999999998099/10000000000000000 binary64)
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))
#s(literal 6765203681218851/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(neg.f64 z)
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 binary64) z))
#s(literal -3147848041806007/2500000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) z)
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
#s(literal 7713234287776531/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(-.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
(-.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
#s(literal 2501468655737381/200000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
(-.f64 #s(literal 5 binary64) z)
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
(-.f64 #s(literal 6 binary64) z)
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(-.f64 #s(literal 7 binary64) z)
#s(literal 7 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
(-.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)

localize1.2s (4.8%)

Memory
36.9MiB live, 1 132.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.951503759768442
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
accuracy1.0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy2.7533764246246153
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy1.4493584909298005
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
accuracy1.74609375
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)))))
accuracy2.320084689804969
#s(approx (+ (- (- 1 z) 1) 7) #s(literal 7 binary64))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy0.953125
(*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.4493584909298005
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy0.3046875
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
accuracy0.34850934334717815
(sin.f64 (*.f64 (PI.f64) z))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.4954797685987673
#s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))
accuracy1.0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy1.4493584909298005
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
accuracy1.5451598639629625
(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Samples
430.0ms159×1valid
364.0ms68×2valid
215.0ms29×0valid
Compiler

Compiled 6 660 to 237 computations (96.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 648.0ms
ival-sub: 141.0ms (21.8% of total)
ival-mult: 106.0ms (16.4% of total)
ival-add: 98.0ms (15.1% of total)
const: 69.0ms (10.6% of total)
ival-div: 65.0ms (10% of total)
adjust: 62.0ms (9.6% of total)
ival-exp: 40.0ms (6.2% of total)
ival-pow: 34.0ms (5.2% of total)
ival-neg: 10.0ms (1.5% of total)
ival-sqrt: 9.0ms (1.4% of total)
ival-log1p: 7.0ms (1.1% of total)
ival-sinu: 4.0ms (0.6% of total)
exact: 2.0ms (0.3% of total)
ival-pi: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.2%)

Memory
17.3MiB live, 53.4MiB allocated
Counts
25 → 264
Calls
Call 1
Inputs
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)) (patch (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) (patch (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))) (patch (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (patch (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (sin.f64 (*.f64 (PI.f64) z)) (patch (sin.f64 (*.f64 (PI.f64) z)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (patch (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (patch (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (patch #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #<representation binary64>) () ())
#s(alt #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))) (patch #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (patch (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (- 1 z) 1) 7) #s(literal 7 binary64)) (patch #s(approx (+ (- (- 1 z) 1) 7) #s(literal 7 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (patch (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) #<representation binary64>) () ())
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#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) #<representation binary64>) () ())
Outputs
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (- z 15/2) (taylor 0 z) (#s(alt (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)) (patch (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt (- z 15/2) (taylor 0 z) (#s(alt (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)) (patch (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)) #<representation binary64>) () ())) ())
#s(alt 13/2 (taylor 0 z) (#s(alt (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) (patch (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 13/2 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) (patch (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 13/2 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) (patch (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 13/2 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) (patch (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI)))) (taylor 0 z) (#s(alt (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))) (patch (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))) (patch (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z) (taylor 0 z) (#s(alt (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))) (patch (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) 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#s(alt (/ 1 z) (taylor 0 z) (#s(alt (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (patch (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 1/6 (* (pow z 2) (pow (PI) 2)))) z) (taylor 0 z) (#s(alt (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (patch (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2))) (taylor -inf z) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2))) (taylor -inf z) (#s(alt (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (patch (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
19.0ms
z
@inf
((- (- 1 z) 1) (- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- (neg z) -13/2) (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (PI) (sin (* (PI) z)) (+ (- (- 1 z) 1) 3) (+ (- (- 1 z) 1) 4) (+ (- (- 1 z) 1) 5) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (- (- 1 z) -13/2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* 2 (PI))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (sqrt (PI)) (* (* (exp (- z 15/2)) (sqrt (PI))) (sqrt 2)) (+ (- (- 1 z) 1) 7) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (sqrt (* 2 (PI))) (exp (+ -1 (+ -13/2 z)))))
7.0ms
z
@0
((- (- 1 z) 1) (- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- (neg z) -13/2) (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (PI) (sin (* (PI) z)) (+ (- (- 1 z) 1) 3) (+ (- (- 1 z) 1) 4) (+ (- (- 1 z) 1) 5) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (- (- 1 z) -13/2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* 2 (PI))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (sqrt (PI)) (* (* (exp (- z 15/2)) (sqrt (PI))) (sqrt 2)) (+ (- (- 1 z) 1) 7) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (sqrt (* 2 (PI))) (exp (+ -1 (+ -13/2 z)))))
4.0ms
z
@-inf
((- (- 1 z) 1) (- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- (neg z) -13/2) (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (PI) (sin (* (PI) z)) (+ (- (- 1 z) 1) 3) (+ (- (- 1 z) 1) 4) (+ (- (- 1 z) 1) 5) (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 7) (+ (- (- 1 z) 1) 1/2) (- (- 1 z) -13/2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* 2 (PI))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (sqrt (PI)) (* (* (exp (- z 15/2)) (sqrt (PI))) (sqrt 2)) (+ (- (- 1 z) 1) 7) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (sqrt (* 2 (PI))) (exp (+ -1 (+ -13/2 z)))))

simplify249.0ms (1%)

Memory
10.8MiB live, 190.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05084468
116764279
258653928
082273783
Stop Event
1×iter limit
1×node limit
Counts
264 → 262
Calls
Call 1
Inputs
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
13/2
(+ 13/2 (* -1 z))
(+ 13/2 (* -1 z))
(+ 13/2 (* -1 z))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)
(/ 1 z)
(/ (+ 1 (* 1/6 (* (pow z 2) (pow (PI) 2)))) z)
(/ (+ 1 (* (pow z 2) (- (* -1 (* (pow z 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (* -1/6 (pow (PI) 2))))) z)
(/ (+ 1 (* (pow z 2) (- (* (pow z 2) (- (* -1 (* (pow z 2) (+ (* -1/5040 (pow (PI) 6)) (+ (* 1/720 (pow (PI) 6)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))))))) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (* -1/6 (pow (PI) 2))))) z)
(* z (PI))
(* z (+ (PI) (* -1/6 (* (pow z 2) (pow (PI) 3)))))
(* z (+ (PI) (* (pow z 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow z 2) (pow (PI) 5)))))))
(* z (+ (PI) (* (pow z 2) (+ (* -1/6 (pow (PI) 3)) (* (pow z 2) (+ (* -1/5040 (* (pow z 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
3
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(+ 3 (* -1 z))
4
(+ 4 (* -1 z))
(+ 4 (* -1 z))
(+ 4 (* -1 z))
5
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(+ 5 (* -1 z))
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
7
(+ 7 (* -1 z))
(+ 7 (* -1 z))
(+ 7 (* -1 z))
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(exp (- (* 1/2 (log 15/2)) 15/2))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (+ (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2))))) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (+ (* z (+ (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3)))))) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2)))))))
479507597606835099/10000000000000000
(+ 479507597606835099/10000000000000000 (* 904338909853211/2500000000000 z))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* 2076511864126339/4000000000000 z))))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2))))
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(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2)))
Outputs
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
-15/2
#s(literal -15/2 binary64)
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
13/2
#s(literal 13/2 binary64)
(+ 13/2 (* -1 z))
(-.f64 #s(literal 13/2 binary64) z)
(+ 13/2 (* -1 z))
(-.f64 #s(literal 13/2 binary64) z)
(+ 13/2 (* -1 z))
(-.f64 #s(literal 13/2 binary64) z)
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) z) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal -1106209385320415913103082059/4200000000000000000000000 binary64)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) z) (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64))) (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))) (*.f64 (PI.f64) (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15 binary64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal -1106209385320415913103082059/4200000000000000000000000 binary64))))) z (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal -1106209385320415913103082059/4200000000000000000000000 binary64))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (+.f64 (fma.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64))) (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))) (*.f64 (PI.f64) (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15 binary64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal -1106209385320415913103082059/4200000000000000000000000 binary64))))) z (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal -1106209385320415913103082059/4200000000000000000000000 binary64))))) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (+.f64 (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 #s(literal -29/225 binary64) (log.f64 #s(literal 15/2 binary64)) #s(literal -29/3375 binary64))) #s(literal 86/10125 binary64)))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64) #s(literal 4027292589444183035165374538123333/6638284800000000000000000000000 binary64)))) (PI.f64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 15/2 binary64))) (-.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (fma.f64 (pow.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 29/225 binary64))) (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64) #s(literal 64608921419941589693928044520019/118540800000000000000000000000 binary64)))) (*.f64 (PI.f64) (exp.f64 #s(literal 15/2 binary64)))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal 15 binary64))) (*.f64 (PI.f64) (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (PI.f64)) (-.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (fma.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 102757979785251069442117317613/235200000000000000000000000 binary64))) (exp.f64 #s(literal 15/2 binary64))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) #s(literal 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(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (+ 1 (* 1/6 (* (pow z 2) (pow (PI) 2)))) z)
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)
(/ (+ 1 (* (pow z 2) (- (* -1 (* (pow z 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (* -1/6 (pow (PI) 2))))) z)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal 7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 z z))) (*.f64 z z) #s(literal 1 binary64)) z)
(/ (+ 1 (* (pow z 2) (- (* (pow z 2) (- (* -1 (* (pow z 2) (+ (* -1/5040 (pow (PI) 6)) (+ (* 1/720 (pow (PI) 6)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))))))) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (* -1/6 (pow (PI) 2))))) z)
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (*.f64 (fma.f64 #s(literal 7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 z) z) (fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/840 binary64))))) (*.f64 z z))) (*.f64 z z) #s(literal 1 binary64)) z)
(* z (PI))
(*.f64 (PI.f64) z)
(* z (+ (PI) (* -1/6 (* (pow z 2) (pow (PI) 3)))))
(*.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z)
(* z (+ (PI) (* (pow z 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow z 2) (pow (PI) 5)))))))
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rewrite250.0ms (1%)

Memory
16.2MiB live, 366.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119463
0181390
1803356
27760356
08040356
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 650
Calls
Call 1
Inputs
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Outputs
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eval1.1s (4.2%)

Memory
19.4MiB live, 1 706.2MiB allocated
Compiler

Compiled 351 507 to 13 630 computations (96.1% saved)

prune207.0ms (0.8%)

Memory
26.1MiB live, 659.3MiB allocated
Pruning

41 alts after pruning (41 fresh and 0 done)

PrunedKeptTotal
New3 300343 334
Fresh11718
Picked505
Done000
Total3 316413 357
Accuracy
100.0%
Counts
3 357 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
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95.6%
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96.1%
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95.7%
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95.3%
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95.8%
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95.8%
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96.1%
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95.8%
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98.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))))
98.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (sqrt.f64 #s(literal 2 binary64)))))
96.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 7) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 7) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶98.6%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 #s(approx (- (neg z) -13/2) #s(literal 13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
▶97.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))
94.6%
(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
97.5%
(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.8%
(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.6%
(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
95.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
93.9%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z)))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
94.6%
(*.f64 (PI.f64) (/.f64 #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) (sin.f64 (*.f64 (PI.f64) z))))
▶94.6%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal 7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 z z))) (*.f64 z z) #s(literal 1 binary64)) z)) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
▶95.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
98.0%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.6%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
95.8%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 7) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.7%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.9%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.6%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
▶94.9%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
Compiler

Compiled 6 376 to 3 994 computations (37.4% saved)

simplify213.0ms (0.8%)

Memory
-24.7MiB live, 302.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
cost-diff128
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff192
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal 7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 z z))) (*.f64 z z) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal 7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 z z))) (*.f64 z z) #s(literal 1 binary64)) z)
cost-diff0
#s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal 7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 z z))) (*.f64 z z) #s(literal 1 binary64)) z))
cost-diff0
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal 7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 z z))) (*.f64 z z) #s(literal 1 binary64)) z)) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
cost-diff0
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
cost-diff128
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
cost-diff192
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
cost-diff192
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
cost-diff256
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01903418
03222932
15862813
218122405
087842405
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
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(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
(+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
(+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
(+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64))
(fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64))
#s(literal 23912966683069397/40000000000000 binary64)
#s(literal 2076511864126339/4000000000000 binary64)
#s(literal 904338909853211/2500000000000 binary64)
#s(literal 479507597606835099/10000000000000000 binary64)
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
#s(literal 7713234287776531/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
#s(literal 2501468655737381/200000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
#s(literal 2496092394504893/250000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
#s(literal 8 binary64)
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(*.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(sin.f64 (*.f64 z (PI.f64)))
(*.f64 (PI.f64) z)
(*.f64 z (PI.f64))
z
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))))
(*.f64 (*.f64 (*.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z)) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 z #s(literal 15/2 binary64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
(*.f64 #s(literal 2 binary64) (PI.f64))
#s(literal 2 binary64)
(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))
(fma.f64 (log1p.f64 (-.f64 #s(literal 13/2 binary64) z)) (-.f64 #s(literal 1/2 binary64) z) (-.f64 z #s(literal 15/2 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(-.f64 #s(literal 1/2 binary64) z)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64)))
(log1p.f64 (-.f64 #s(literal 13/2 binary64) z))
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
(-.f64 #s(literal 13/2 binary64) z)
(neg.f64 z)
#s(literal -13/2 binary64)
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
(-.f64 z #s(literal 15/2 binary64))
#s(literal -1 binary64)
(+.f64 #s(literal -13/2 binary64) z)
(-.f64 z #s(literal 13/2 binary64))
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(+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))))
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(+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
(+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))))
(+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
(+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))))
(+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z)))
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))
(fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64))
(fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64))
#s(literal 23912966683069397/40000000000000 binary64)
#s(literal 2076511864126339/4000000000000 binary64)
#s(literal 904338909853211/2500000000000 binary64)
#s(literal 479507597606835099/10000000000000000 binary64)
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))
#s(literal 7713234287776531/10000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(-.f64 #s(literal 3 binary64) z)
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(neg.f64 z)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))
#s(literal -883075145810703/5000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
(-.f64 #s(literal 4 binary64) z)
#s(literal 4 binary64)
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))
(/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z))
#s(literal 2501468655737381/200000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
(-.f64 #s(literal 5 binary64) z)
#s(literal 5 binary64)
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))
(/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 binary64) z))
#s(literal -3464277381643003/25000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64))
(-.f64 #s(literal 6 binary64) z)
#s(literal 6 binary64)
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))
(/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 #s(literal 7 binary64) z))
#s(literal 2496092394504893/250000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(-.f64 #s(literal 7 binary64) z)
#s(literal 7 binary64)
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64)))
(/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 #s(literal 8 binary64) z))
#s(literal 3764081837873279/25000000000000000000000 binary64)
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))
(-.f64 #s(literal 8 binary64) z)
#s(literal 8 binary64)

localize1.1s (4.2%)

Memory
-16.4MiB live, 1 822.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.953125
(*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.3907784751628585
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy1.0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy1.3001087332106365
#s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z))
accuracy2.7533764246246153
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.2159367933855483
#s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal 7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 z z))) (*.f64 z z) #s(literal 1 binary64)) z))
accuracy1.58496250072115
(pow.f64 (PI.f64) #s(literal 4 binary64))
accuracy2.4954797685987673
#s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64)))))
accuracy0.27572250976844204
(/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))
accuracy0.39291000976844204
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.516545067634524
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
accuracy1.0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))
accuracy1.4493584909298005
#s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64)))
accuracy1.5451598639629625
(exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
accuracy57.40331596091018
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Samples
515.0ms159×1valid
265.0ms68×2valid
43.0ms29×0valid
Compiler

Compiled 5 590 to 284 computations (94.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 606.0ms
ival-mult: 131.0ms (21.6% of total)
const: 107.0ms (17.6% of total)
adjust: 76.0ms (12.5% of total)
ival-add: 70.0ms (11.5% of total)
ival-div: 68.0ms (11.2% of total)
ival-exp: 48.0ms (7.9% of total)
ival-pow: 37.0ms (6.1% of total)
ival-sub: 27.0ms (4.5% of total)
ival-sqrt: 18.0ms (3% of total)
ival-log1p: 12.0ms (2% of total)
ival-sinu: 4.0ms (0.7% of total)
ival-neg: 4.0ms (0.7% of total)
ival-pi: 3.0ms (0.5% of total)
exact: 2.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.1%)

Memory
14.8MiB live, 52.8MiB allocated
Counts
26 → 264
Calls
Call 1
Inputs
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)) (patch (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)) #<representation binary64>) () ())
#s(alt (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) (patch (-.f64 (neg.f64 z) #s(literal -13/2 binary64)) #<representation binary64>) () ())
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Outputs
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#s(alt (* -1 z) (taylor 0 z) (#s(alt (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (patch (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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Calls

3 calls:

TimeVariablePointExpression
4.0ms
z
@0
((- (- 1 z) 1) (- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- (neg z) -13/2) (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (/ (* (sqrt 15/2) (sqrt 2)) (* (exp 15/2) z))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)) (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (/ (+ (* (+ (* (* 1/6 (PI)) (PI)) (* (* 7/360 (pow (PI) 4)) (* z z))) (* z z)) 1) z) (+ (* (+ (* (* 1/6 (PI)) (PI)) (* (* 7/360 (pow (PI) 4)) (* z z))) (* z z)) 1) (- (- 1 z) -13/2) (+ (- (- 1 z) 1) 3) (+ (- (- 1 z) 1) 4) (+ (- (- 1 z) 1) 5) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* 2 (PI))) (/ (* (sqrt 15/2) (sqrt 2)) (* (exp 15/2) z)) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (pow (PI) 4) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (exp (- z 15/2)) (sqrt (PI))) (sqrt 2)))
4.0ms
z
@-inf
((- (- 1 z) 1) (- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- (neg z) -13/2) (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (/ (* (sqrt 15/2) (sqrt 2)) (* (exp 15/2) z))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)) (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (/ (+ (* (+ (* (* 1/6 (PI)) (PI)) (* (* 7/360 (pow (PI) 4)) (* z z))) (* z z)) 1) z) (+ (* (+ (* (* 1/6 (PI)) (PI)) (* (* 7/360 (pow (PI) 4)) (* z z))) (* z z)) 1) (- (- 1 z) -13/2) (+ (- (- 1 z) 1) 3) (+ (- (- 1 z) 1) 4) (+ (- (- 1 z) 1) 5) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* 2 (PI))) (/ (* (sqrt 15/2) (sqrt 2)) (* (exp 15/2) z)) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (pow (PI) 4) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (exp (- z 15/2)) (sqrt (PI))) (sqrt 2)))
4.0ms
z
@inf
((- (- 1 z) 1) (- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- (neg z) -13/2) (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (* (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (/ (* (sqrt 15/2) (sqrt 2)) (* (exp 15/2) z))) (* (sqrt (PI)) 1106209385320415913103082059/4200000000000000000000000) (sqrt (PI)) (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/ (PI) (sin (* (PI) z))) (/ (+ (* (+ (* (* 1/6 (PI)) (PI)) (* (* 7/360 (pow (PI) 4)) (* z z))) (* z z)) 1) z) (+ (* (+ (* (* 1/6 (PI)) (PI)) (* (* 7/360 (pow (PI) 4)) (* z z))) (* z z)) 1) (- (- 1 z) -13/2) (+ (- (- 1 z) 1) 3) (+ (- (- 1 z) 1) 4) (+ (- (- 1 z) 1) 5) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (sqrt (* 2 (PI))) (/ (* (sqrt 15/2) (sqrt 2)) (* (exp 15/2) z)) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (pow (PI) 4) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ (PI) (sin (* (PI) z))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (* (* (exp (- z 15/2)) (sqrt (PI))) (sqrt 2)))

simplify237.0ms (0.9%)

Memory
16.5MiB live, 282.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04735731
115215547
252075088
087854877
Stop Event
1×iter limit
1×node limit
Counts
264 → 262
Calls
Call 1
Inputs
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
1/2
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
13/2
(+ 13/2 (* -1 z))
(+ 13/2 (* -1 z))
(+ 13/2 (* -1 z))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)
(/ 1 z)
(/ (+ 1 (* 1/6 (* (pow z 2) (pow (PI) 2)))) z)
(/ (+ 1 (* (pow z 2) (- (* -1 (* (pow z 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (* -1/6 (pow (PI) 2))))) z)
(/ (+ 1 (* (pow z 2) (- (* (pow z 2) (- (* -1 (* (pow z 2) (+ (* -1/5040 (pow (PI) 6)) (+ (* 1/720 (pow (PI) 6)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))))))) (+ (* -1/36 (pow (PI) 4)) (* 1/120 (pow (PI) 4))))) (* -1/6 (pow (PI) 2))))) z)
(/ 1 z)
(/ (+ 1 (* 1/6 (* (pow z 2) (pow (PI) 2)))) z)
(/ (+ 1 (* (pow z 2) (+ (* 7/360 (* (pow z 2) (pow (PI) 4))) (* 1/6 (pow (PI) 2))))) z)
(/ (+ 1 (* (pow z 2) (+ (* 7/360 (* (pow z 2) (pow (PI) 4))) (* 1/6 (pow (PI) 2))))) z)
1
(+ 1 (* 1/6 (* (pow z 2) (pow (PI) 2))))
(+ 1 (* (pow z 2) (+ (* 7/360 (* (pow z 2) (pow (PI) 4))) (* 1/6 (pow (PI) 2)))))
(+ 1 (* (pow z 2) (+ (* 7/360 (* (pow z 2) (pow (PI) 4))) (* 1/6 (pow (PI) 2)))))
15/2
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
(+ 15/2 (* -1 z))
3
(+ 3 (* -1 z))
(+ 3 (* -1 z))
(+ 3 (* -1 z))
4
(+ 4 (* -1 z))
(+ 4 (* -1 z))
(+ 4 (* -1 z))
5
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(+ 5 (* -1 z))
(exp (- (* 1/2 (log 15/2)) 15/2))
(+ (exp (- (* 1/2 (log 15/2)) 15/2)) (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (+ 14/15 (* -1 (log 15/2))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))) (sqrt (pow (PI) 3)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI)))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (pow (PI) 3)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* (exp (+ 15/2 (* -1 z))) (sin (* z (PI))))))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(* 7/360 (* (pow z 3) (pow (PI) 4)))
(* -1 (* (pow z 3) (+ (* -1/6 (/ (pow (PI) 2) (pow z 2))) (* -7/360 (pow (PI) 4)))))
(* -1 (* (pow z 3) (- (+ (* -1/6 (/ (pow (PI) 2) (pow z 2))) (* -7/360 (pow (PI) 4))) (/ 1 (pow z 4)))))
(* -1 (* (pow z 3) (- (+ (* -1/6 (/ (pow (PI) 2) (pow z 2))) (* -7/360 (pow (PI) 4))) (/ 1 (pow z 4)))))
(* 7/360 (* (pow z 4) (pow (PI) 4)))
(* (pow z 4) (+ (* 7/360 (pow (PI) 4)) (* 1/6 (/ (pow (PI) 2) (pow z 2)))))
(* (pow z 4) (+ (* 7/360 (pow (PI) 4)) (+ (* 1/6 (/ (pow (PI) 2) (pow z 2))) (/ 1 (pow z 4)))))
(* (pow z 4) (+ (* 7/360 (pow (PI) 4)) (+ (* 1/6 (/ (pow (PI) 2) (pow z 2))) (/ 1 (pow z 4)))))
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 (* z (- 1 (* 3 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* -1 (* z (- 1 (* 4 (/ 1 z)))))
(* -1 z)
(* -1 (* z (- 1 (* 5 (/ 1 z)))))
(* -1 (* z (- 1 (* 5 (/ 1 z)))))
(* -1 (* z (- 1 (* 5 (/ 1 z)))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2)))
(/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2)))
(/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2)))
(/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2)))
(* 9999999999998099/10000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (exp (+ 15/2 (* -1 z))))) (sqrt (PI)))) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))))
(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (exp (+ 15/2 (* -1 z))))) (sqrt (PI)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (* z (exp (+ 15/2 (* -1 z))))) (sqrt (PI)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z))))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (/ (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)) (exp (+ 15/2 (* -1 z)))))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2)))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (sqrt 2)))
Outputs
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
(+ 1/2 (* -1 z))
(-.f64 #s(literal 1/2 binary64) z)
-15/2
#s(literal -15/2 binary64)
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
(- z 15/2)
(-.f64 z #s(literal 15/2 binary64))
13/2
#s(literal 13/2 binary64)
(+ 13/2 (* -1 z))
(-.f64 #s(literal 13/2 binary64) z)
(+ 13/2 (* -1 z))
(-.f64 #s(literal 13/2 binary64) z)
(+ 13/2 (* -1 z))
(-.f64 #s(literal 13/2 binary64) z)
(* 1106209385320415913103082059/4200000000000000000000000 (* (/ (* (sqrt 2) (sqrt 15/2)) (* z (exp 15/2))) (sqrt (PI))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (sqrt (pow (PI) 3)))) z)
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(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (sqrt (pow (PI) 3)))))) z)
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(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (/ (* (sqrt 2) (sqrt 15/2)) (exp 15/2)))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (* (* z (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 86/10125 (+ (* 29/225 (- (* -1 (log 15/2)) 1/15)) (* 1/6 (pow (- (* -1 (log 15/2)) 1/15) 3)))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 64608921419941589693928044520019/118540800000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 4027292589444183035165374538123333/6638284800000000000000000000000 (sqrt 15/2)))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2))))) (+ (* 102757979785251069442117317613/235200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 64608921419941589693928044520019/118540800000000000000000000000 (sqrt 15/2))))) (* (PI) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2))))))) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (* (sqrt 15/2) (+ (* -1/6 (* (PI) (exp 15/2))) (* 1/6 (* (pow (PI) 3) (exp 15/2)))))) (* (pow (PI) 2) (pow (exp 15/2) 2)))) (/ (* (+ (* -1/6 (* (pow (PI) 3) (exp 15/2))) (* 1/2 (* (PI) (exp 15/2)))) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2)))))) (* (PI) (exp 15/2))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (- (/ (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))) (* (PI) (exp 15/2))) (* -1106209385320415913103082059/4200000000000000000000000 (/ (* (sqrt 2) (sqrt 15/2)) (* (PI) (exp 15/2))))))))) z)
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rewrite225.0ms (0.9%)

Memory
32.3MiB live, 293.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0132677
0204592
1905561
08227561
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 431
Calls
Call 1
Inputs
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eval548.0ms (2.2%)

Memory
-27.2MiB live, 877.5MiB allocated
Compiler

Compiled 178 735 to 8 986 computations (95% saved)

prune250.0ms (1%)

Memory
-12.8MiB live, 538.4MiB allocated
Pruning

56 alts after pruning (56 fresh and 0 done)

PrunedKeptTotal
New1 712291 741
Fresh92736
Picked505
Done000
Total1 726561 782
Accuracy
100.0%
Counts
1 782 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(/.f64 #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
96.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
95.8%
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95.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (- (- 1 z) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 7) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 #s(literal 15/2 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
98.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))))
98.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -7 binary64))) (+.f64 (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -6 binary64))) (+.f64 (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -5 binary64))) (+.f64 (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -4 binary64))) (+.f64 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64))) (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))))))))) (sqrt.f64 (PI.f64))) (*.f64 (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))) (sqrt.f64 #s(literal 2 binary64)))))
96.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (+ (- (- 1 z) 1) 7) 1/2) #s(literal 15/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 7) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.9%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 #s(approx (- (neg z) -13/2) #s(literal 13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(approx (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 (PI.f64)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) #s(literal 479507597606835099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 5) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.5%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))
94.6%
(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
97.5%
(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.8%
(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (PI.f64) z))) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.8%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64))) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
93.9%
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z)))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
94.6%
(*.f64 (PI.f64) (/.f64 #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) (sin.f64 (*.f64 (PI.f64) z))))
95.7%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal 7/360 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 z z))) (*.f64 z z) #s(literal 1 binary64)) z)) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
94.6%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) (PI.f64) (*.f64 (*.f64 #s(literal 7/360 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 z z))) (*.f64 z z) #s(literal 1 binary64)) z)) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
95.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1/2 binary64)) (+.f64 z #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.3%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z))) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 5) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 4) (-.f64 #s(literal 4 binary64) z)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 (fma.f64 #s(literal 23912966683069397/40000000000000 binary64) z #s(literal 2076511864126339/4000000000000 binary64)) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.1%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.8%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 #s(literal 904338909853211/2500000000000 binary64) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (- (- 1 z) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
98.0%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
94.6%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
95.8%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 7) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
97.7%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
96.9%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(approx (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))) (*.f64 (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.0%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64)))))
94.6%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))))))
95.3%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
94.8%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))
94.9%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
94.8%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))
95.6%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
95.1%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z)))
95.2%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))))
95.0%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))
95.2%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))
94.9%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 #s(literal 15/2 binary64))) z)))))
94.6%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
95.3%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))))
Compiler

Compiled 12 003 to 3 066 computations (74.5% saved)

regimes103.0ms (0.4%)

Memory
38.4MiB live, 110.9MiB allocated
Counts
101 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64)))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))
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(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 (fma.f64 #s(literal -3147848041806007/2500000000000 binary64) (fma.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)) #s(literal 309629712517394580428200722024092610534658749051/1000000000000000000000000000000000000000 binary64) #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64)))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (-.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Outputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Calls

2 calls:

60.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
28.0ms
z
Results
AccuracySegmentsBranch
98.6%1z
98.6%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes44.0ms (0.2%)

Memory
10.9MiB live, 81.8MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))
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Outputs
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Calls

2 calls:

17.0ms
z
15.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Results
AccuracySegmentsBranch
98.0%1z
98.0%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes32.0ms (0.1%)

Memory
-19.4MiB live, 27.4MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 #s(literal 15/2 binary64))) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))
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Outputs
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Calls

2 calls:

11.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
10.0ms
z
Results
AccuracySegmentsBranch
97.7%1z
97.7%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes24.0ms (0.1%)

Memory
-8.3MiB live, 30.0MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64)))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))))
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
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Outputs
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Calls

2 calls:

10.0ms
z
9.0ms
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Results
AccuracySegmentsBranch
95.7%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.7%1z
Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes28.0ms (0.1%)

Memory
3.4MiB live, 41.1MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
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#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z)))
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(/.f64 #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15 binary64))) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (fma.f64 (*.f64 (*.f64 z z) #s(literal -1/6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64)) (PI.f64)) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (sin.f64 (*.f64 (PI.f64) z)))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
Outputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
Calls

2 calls:

16.0ms
z
8.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Results
AccuracySegmentsBranch
95.6%1z
95.6%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes18.0ms (0.1%)

Memory
-8.1MiB live, 27.8MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (sqrt.f64 #s(literal 15 binary64)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 15 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 #s(literal 15/2 binary64))) z)))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 #s(literal 15/2 binary64)) z) (*.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 15 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (*.f64 (/.f64 (sqrt.f64 #s(literal 15/2 binary64)) z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (PI.f64) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
Outputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
Calls

2 calls:

10.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
5.0ms
z
Results
AccuracySegmentsBranch
95.3%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.3%1z
Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes7.0ms (0%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (sqrt.f64 (PI.f64))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 15 binary64)) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z)) (sqrt.f64 (PI.f64))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) z) (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64)))))
Outputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z)))
Calls

2 calls:

3.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
2.0ms
z
Results
AccuracySegmentsBranch
95.1%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
95.1%1z
Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes4.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
Outputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
Calls

2 calls:

2.0ms
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
1.0ms
z
Results
AccuracySegmentsBranch
94.6%1z
94.6%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64)) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64)))) (exp.f64 (neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)) #s(literal 1/2 binary64))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
Compiler

Compiled 124 to 61 computations (50.8% saved)

simplify62.0ms (0.2%)

Memory
-22.6MiB live, 97.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01661021
13061005
2778872
34183833
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 3) (-.f64 #s(literal 3 binary64) z)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) #s(literal 1/6 binary64)) (PI.f64)) (PI.f64) #s(literal 1 binary64)) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))) (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64)))) (/.f64 #s(literal -3464277381643003/25000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 6 binary64)))) (/.f64 #s(literal 2496092394504893/250000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64)))) (/.f64 #s(literal 3764081837873279/25000000000000000000000 binary64) (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 8 binary64))))))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #s(approx (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8)))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 #s(literal 15/2 binary64))))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 (PI.f64))) (exp.f64 #s(literal 15/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15 binary64)) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 15 binary64)) (exp.f64 #s(literal -15/2 binary64))) z)))
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (sqrt (PI)) (* (sqrt 2) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))))) (+ (+ (+ (+ (+ (+ (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (/ 2501468655737381/200000000000000 (+ (- (- 1 z) 1) 5))) (/ -3464277381643003/25000000000000000 (+ (- (- 1 z) 1) 6))) (/ 2496092394504893/250000000000000000000 (+ (- (- 1 z) 1) 7))) (/ 3764081837873279/25000000000000000000000 (+ (- (- 1 z) 1) 8))))) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (*.f64 #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64) (sqrt.f64 #s(literal 15 binary64))) (*.f64 (exp.f64 #s(literal 15/2 binary64)) z))))
Outputs
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soundness1.6s (6.3%)

Memory
-19.8MiB live, 1 221.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0132677
0204592
1905561
08227561
03523794
111223622
236983379
083903201
02787
04671
123662
2211562
0851162
05084468
116764279
258653928
082273783
0109395
0179330
1732306
27147306
08140301
0148733
1456692
21457648
35123623
08133605
0119463
0181390
1803356
27760356
08040356
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 1 886 to 997 computations (47.1% saved)

preprocess96.0ms (0.4%)

Memory
-20.3MiB live, 216.6MiB allocated
Compiler

Compiled 1 008 to 362 computations (64.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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