Jmat.Real.gamma, branch z less than 0.5

Time bar (total: 23.1s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

analyze695.0ms (3%)

Memory
-21.7MiB live, 937.9MiB 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)

sample8.7s (37.7%)

Memory
-17.8MiB live, 10 134.4MiB allocated
Samples
4.8s8 256×0valid
2.3s3 846×0invalid
58.0ms94×0exit
Precisions
Click to see histograms. Total time spent on operations: 6.6s
const: 1.9s (29% of total)
ival-add: 1.7s (26.3% of total)
ival-div: 946.0ms (14.4% of total)
ival-mult: 622.0ms (9.5% of total)
ival-sinu: 337.0ms (5.1% of total)
ival-pow: 311.0ms (4.7% of total)
ival-sub: 200.0ms (3% of total)
ival-exp: 147.0ms (2.2% of total)
ival-pi: 94.0ms (1.4% of total)
ival-sqrt: 92.0ms (1.4% of total)
ival-neg: 74.0ms (1.1% of total)
exact: 63.0ms (1% of total)
ival-<=: 43.0ms (0.7% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

explain1.6s (6.9%)

Memory
42.7MiB live, 2 387.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
10-0-(sin.f64 (*.f64 (PI.f64) z))
10-0-(*.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))cancellation150
*.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*u10
↳(*.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))))overflow1
↳(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)))overflow1
↳(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))))underflow1
sin.f64(sin.f64 (*.f64 (PI.f64) z))sensitivity10
Confusion
Predicted +Predicted -
+10
-15240
Precision
0.0625
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-150240
Precision?
0.0625
Recall?
1.0
Freqs
test
numberfreq
0240
115
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
419.0ms350×1valid
205.0ms128×2valid
15.0ms34×0valid
Compiler

Compiled 2 806 to 244 computations (91.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 524.0ms
ival-add: 152.0ms (29% of total)
const: 106.0ms (20.2% of total)
adjust: 76.0ms (14.5% of total)
ival-div: 58.0ms (11.1% of total)
ival-sub: 31.0ms (5.9% of total)
ival-mult: 31.0ms (5.9% of total)
ival-exp: 27.0ms (5.2% of total)
ival-pow: 22.0ms (4.2% of total)
ival-sinu: 6.0ms (1.1% of total)
ival-neg: 5.0ms (1% of total)
ival-sqrt: 4.0ms (0.8% of total)
ival-pi: 2.0ms (0.4% of total)
exact: 2.0ms (0.4% of total)
ival-true: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)

preprocess199.0ms (0.9%)

Memory
14.6MiB live, 236.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
062227
1168193
2720149
35230149
060123
0101101
119795
265776
3417074
0823174
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
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.0%
(*.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))))))
Compiler

Compiled 123 to 60 computations (51.2% saved)

simplify162.0ms (0.7%)

Memory
-28.0MiB live, 275.3MiB 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
34170523
08231523
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)

localize521.0ms (2.3%)

Memory
-3.1MiB live, 662.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.1796875
(*.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)))))
accuracy2.789977340133998
(+.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))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Samples
261.0ms175×1valid
102.0ms64×2valid
8.0ms17×0valid
Compiler

Compiled 1 788 to 122 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 267.0ms
ival-add: 76.0ms (28.5% of total)
const: 49.0ms (18.4% of total)
adjust: 37.0ms (13.9% of total)
ival-div: 30.0ms (11.2% of total)
ival-pow: 24.0ms (9% of total)
ival-sub: 19.0ms (7.1% of total)
ival-mult: 15.0ms (5.6% of total)
ival-exp: 6.0ms (2.2% of total)
ival-sinu: 3.0ms (1.1% of total)
ival-sqrt: 2.0ms (0.7% of total)
ival-neg: 2.0ms (0.7% 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)

series8.0ms (0%)

Memory
29.5MiB live, 29.5MiB allocated
Counts
7 → 72
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))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 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 (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)))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
Outputs
(* -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))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
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)))
2.0ms
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)))

simplify294.0ms (1.3%)

Memory
-25.1MiB live, 208.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148733
1456692
21417648
35091647
08074626
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))))
(fma.f64 (fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 binary64)) z #s(literal 479507597606835099/10000000000000000 binary64))
(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(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))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(*.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)))
(+ (* (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))))
(*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (PI.f64)))
(+ (* 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)))))
(*.f64 (sqrt.f64 (PI.f64)) (fma.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 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) (+.f64 #s(literal 29/225 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64)))) z) z)))
(+ (* 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)))))
(fma.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (PI.f64)) (*.f64 (*.f64 z z) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 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) (+.f64 #s(literal 29/225 binary64) (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))))) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 (sqrt.f64 #s(literal 15/2 binary64)) (+.f64 (fma.f64 #s(literal -29/225 binary64) (log.f64 #s(literal 15/2 binary64)) #s(literal -1/10125 binary64)) (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 (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 1/6 binary64) (sqrt.f64 #s(literal 15/2 binary64)))) (*.f64 (*.f64 (exp.f64 #s(literal -15/2 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))) z)) (sqrt.f64 (PI.f64)))))
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* -1 z)
(neg.f64 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(* z (- (* 15/2 (/ 1 z)) 1))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(* z (- (* 15/2 (/ 1 z)) 1))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 7 (/ 1 z)) 1))
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(* z (- (* 7 (/ 1 z)) 1))
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(* z (- (* 7 (/ 1 z)) 1))
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* z (- (* 1/2 (/ 1 z)) 1))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
(* z (- (* 1/2 (/ 1 z)) 1))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
(* z (- (* 1/2 (/ 1 z)) 1))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) #s(literal 9999999999998099/10000000000000000 binary64))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(-.f64 (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -5826188486005177/10000000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (+ (* 43600364987677261/10000000000000 (/ 1 (pow z 3))) (/ 3683516130645841/2000000000000 (pow z 2)))))
(+.f64 (+.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 43600364987677261/10000000000000 binary64) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)) (/.f64 #s(literal -5826188486005177/10000000000000 binary64) z)))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #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)
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(* -1 (* z (- 1 (* 7 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 7 binary64) z) z (neg.f64 z))
(* -1 z)
(neg.f64 z)
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) z (neg.f64 z))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) #s(literal 9999999999998099/10000000000000000 binary64))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(-.f64 (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -5826188486005177/10000000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal -5826188486005177/10000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal 3683516130645841/2000000000000 binary64)) z)) z))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))

rewrite358.0ms (1.6%)

Memory
17.8MiB live, 249.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02787
04671
123662
2211562
0850762
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))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 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 (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)))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))) (+.f64 #s(literal 8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) #s(literal -1 binary64))))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(pow.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
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eval542.0ms (2.3%)

Memory
-7.7MiB live, 401.9MiB allocated
Compiler

Compiled 174 370 to 8 458 computations (95.1% saved)

prune103.0ms (0.4%)

Memory
-2.5MiB live, 155.3MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1 291131 304
Fresh000
Picked101
Done000
Total1 292131 305
Accuracy
98.6%
Counts
1 305 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
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▶97.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (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))))))
97.8%
(*.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 #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))))))
▶97.8%
(*.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 #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))))))
97.8%
(*.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 #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))))))
97.1%
(*.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))) #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))))))
96.7%
(*.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) (fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 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))))))
96.5%
(*.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))))))
▶97.0%
(*.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)) #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))))))
▶97.8%
(*.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))))))
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 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (exp.f64 (-.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))))))
▶96.1%
(*.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 (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))))))
96.7%
(*.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 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 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))))))
Compiler

Compiled 3 332 to 1 810 computations (45.7% saved)

simplify150.0ms (0.6%)

Memory
12.6MiB live, 229.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 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
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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-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
01274425
02163661
14193481
216282743
084702743
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 (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 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(*.f64 (PI.f64) z)
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)))))
(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))))))
(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)))))
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (PI.f64) #s(literal 2 binary64))
#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))))
(log.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))
(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 (+.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))
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#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)))
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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
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(*.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))))
(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)) #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z)))
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(+.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)
#s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z))
(-.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))))
(neg.f64 (+.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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(+.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))))
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(+.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
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#s(literal 1/2 binary64)
#s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z))
(-.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 #s(literal -15/2 binary64) z))
(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 #s(literal -15/2 binary64) z)
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(+.f64 (+.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 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 2501468655737381/200000000000000 binary64) (-.f64 #s(literal 5 binary64) z)) (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z))))
(+.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 #s(literal -3464277381643003/25000000000000000 binary64) (-.f64 #s(literal 6 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 #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 (+.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 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))))
(+.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 (/.f64 #s(literal -883075145810703/5000000000000 binary64) (-.f64 #s(literal 4 binary64) z)) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))) (/.f64 #s(literal 7713234287776531/10000000000000 binary64) (-.f64 #s(literal 3 binary64) z))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 #s(literal 2 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 #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)

localize906.0ms (3.9%)

Memory
-1.7MiB live, 1 856.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.1796875
(*.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)))))
accuracy2.789977340133998
(+.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))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy1.0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.1796875
(*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))
accuracy2.789977340133998
(+.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))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy0.98046875
(+.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))))
accuracy1.0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.1796875
(*.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)))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy1.0
(*.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)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.789977340133998
(+.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))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy1.0
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.9823900511575376
(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))))))
accuracy2.789977340133998
(+.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))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Samples
376.0ms175×1valid
245.0ms64×2valid
18.0ms17×0valid
Compiler

Compiled 8 732 to 232 computations (97.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 400.0ms
ival-add: 95.0ms (23.8% of total)
adjust: 58.0ms (14.5% of total)
const: 57.0ms (14.3% of total)
ival-mult: 55.0ms (13.8% of total)
ival-div: 28.0ms (7% of total)
ival-pow: 24.0ms (6% of total)
ival-exp: 20.0ms (5% of total)
ival-sub: 20.0ms (5% of total)
ival-log: 16.0ms (4% of total)
ival-sqrt: 10.0ms (2.5% of total)
ival-neg: 6.0ms (1.5% of total)
ival-sinu: 4.0ms (1% of total)
ival-pi: 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)

series12.0ms (0%)

Memory
-10.9MiB live, 27.9MiB allocated
Counts
21 → 204
Calls
Call 1
Inputs
(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 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.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 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 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 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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 #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))))
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(sqrt.f64 (PI.f64))
(*.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 (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)))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(+.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 (*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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)) #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)))))
Outputs
(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
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
-15/2
(- z 15/2)
(- z 15/2)
(- z 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))))))
(* (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)))))
7827144361880981797/30000000000000000
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* 62898174544540606049/103680000000000000 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)))))
(* (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)))))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 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 (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* -1 z)
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* -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))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 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 (+ (* 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))))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (/ 585619739096309/2500000000000 (pow z 2))) (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (+ (* 1219830531815489/5000000000000 (/ 1 (pow z 3))) (/ 585619739096309/2500000000000 (pow z 2)))) (* 30223877537487/2500000000000 (/ 1 z)))
(* (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))))
(* (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)))))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -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))))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) 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))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
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) (neg (- (- 1 z) -13/2)) (neg (+ (+ (- (- 1 z) 1) 7) 1/2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (log (* (PI) 2)) (sqrt (PI)) (* (* (* (sqrt 15/2) (sqrt 2)) (exp -15/2)) (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)))) (sqrt (* (PI) 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))) (* (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (neg (- (- 1 z) -13/2)))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))))
2.0ms
z
@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) (neg (- (- 1 z) -13/2)) (neg (+ (+ (- (- 1 z) 1) 7) 1/2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (log (* (PI) 2)) (sqrt (PI)) (* (* (* (sqrt 15/2) (sqrt 2)) (exp -15/2)) (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)))) (sqrt (* (PI) 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))) (* (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (neg (- (- 1 z) -13/2)))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))))
2.0ms
z
@-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) (neg (- (- 1 z) -13/2)) (neg (+ (+ (- (- 1 z) 1) 7) 1/2)) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))) (log (* (PI) 2)) (sqrt (PI)) (* (* (* (sqrt 15/2) (sqrt 2)) (exp -15/2)) (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)))) (sqrt (* (PI) 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))) (* (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (neg (- (- 1 z) -13/2)))) (* (* (sqrt (* (PI) 2)) (pow (+ (+ (- (- 1 z) 1) 7) 1/2) (+ (- (- 1 z) 1) 1/2))) (exp (neg (+ (+ (- (- 1 z) 1) 7) 1/2)))))

simplify193.0ms (0.8%)

Memory
47.3MiB live, 352.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02492454
17862310
223812112
377042086
080402007
Stop Event
1×iter limit
1×node limit
Counts
204 → 200
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
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
(+ 1/2 (* -1 z))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
-15/2
(- z 15/2)
(- z 15/2)
(- z 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))))))
(* (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)))))
7827144361880981797/30000000000000000
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* 62898174544540606049/103680000000000000 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)))))
(* (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)))))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 15/2))
(exp (- (+ z (+ (* 1/2 (log (* 2 (PI)))) (* (log (- 15/2 z)) (- 1/2 z)))) 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 (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* z (- (* 2 (/ 1 z)) 1))
(* -1 z)
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* -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))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 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 (+ (* 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))))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (/ 585619739096309/2500000000000 (pow z 2))) (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (+ (* 1219830531815489/5000000000000 (/ 1 (pow z 3))) (/ 585619739096309/2500000000000 (pow z 2)))) (* 30223877537487/2500000000000 (/ 1 z)))
(* (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))))
(* (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)))))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
9999999999998099/10000000000000000
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+ 9999999999998099/10000000000000000 (* -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))))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) 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))))
Outputs
(exp (- (+ (* 1/2 (log 15/2)) (* 1/2 (log (* 2 (PI))))) 15/2))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 15/2 binary64))) (exp.f64 #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))))))
(*.f64 (fma.f64 z (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 15/2 binary64))) (exp.f64 #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 (sqrt.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))) (fma.f64 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)) (-.f64 #s(literal 14/15 binary64) (log.f64 #s(literal 15/2 binary64))))) z))
(+ (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)))))))
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(* -1 z)
(neg.f64 z)
(* -1 z)
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(* -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)
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(-.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)
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(-.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))
-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))
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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(+ 479507597606835099/10000000000000000 (* z (+ 904338909853211/2500000000000 (* z (+ 2076511864126339/4000000000000 (* 23912966683069397/40000000000000 z))))))
(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))
(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
(*.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)))
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7827144361880981797/30000000000000000
#s(literal 7827144361880981797/30000000000000000 binary64)
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(fma.f64 #s(literal 314207804027640689/720000000000000 binary64) z #s(literal 7827144361880981797/30000000000000000 binary64))
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(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(fma.f64 (/.f64 #s(literal -15/2 binary64) z) z z)
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(fma.f64 (/.f64 #s(literal -15/2 binary64) z) z z)
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) #s(literal 9999999999998099/10000000000000000 binary64))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+.f64 (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal -5826188486005177/10000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal 3683516130645841/2000000000000 binary64)) z)) z))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 30223877537487/2500000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 #s(literal 585619739096309/2500000000000 binary64) z)) z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))

rewrite312.0ms (1.4%)

Memory
-14.6MiB live, 584.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079287
0134240
1541221
24536221
08170217
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 758
Calls
Call 1
Inputs
(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 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.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 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 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 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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 #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))))
(log.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(sqrt.f64 (PI.f64))
(*.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 (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)))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(+.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 (*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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)) #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)))))
Outputs
(*.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 (*.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))) (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))))
(*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (*.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 (*.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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(*.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 (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
(*.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))) (*.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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.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))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.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)))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.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))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.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 (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 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))) #s(literal -1 binary64)))
(/.f64 (exp.f64 (+.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 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 0 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.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)))))) (exp.f64 (/.f64 (pow.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))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.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 #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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1 binary64)) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.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 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 2 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
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(*.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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (pow.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))) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.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)))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.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))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.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 (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 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))) #s(literal -1 binary64)))
(/.f64 (exp.f64 (+.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 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) #s(literal 0 binary64))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.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)))))) (exp.f64 (/.f64 (pow.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))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.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 #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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1 binary64)) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.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))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.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 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z))))
(*.f64 (exp.f64 (fma.f64 #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z)) (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 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))))
(*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (*.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 (exp.f64 (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))) (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (exp.f64 (fma.f64 #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (exp.f64 (fma.f64 #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z)) (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) (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.f64 (*.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) #s(literal 1 binary64)) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)) #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64)))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))))
(exp.f64 (+.f64 (fma.f64 #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))) (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))))))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (fma.f64 #s(approx (+ (- (- 1 z) 1) 1/2) (-.f64 #s(literal 1/2 binary64) z)) (log1p.f64 (-.f64 (neg.f64 z) #s(literal -13/2 binary64))) (+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z)))))

eval1.2s (5.1%)

Memory
-89.8MiB live, 2 040.4MiB allocated
Compiler

Compiled 612 538 to 17 100 computations (97.2% saved)

prune140.0ms (0.6%)

Memory
14.0MiB live, 360.8MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New4 649124 661
Fresh718
Picked505
Done000
Total4 661134 674
Accuracy
99.6%
Counts
4 674 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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))) (exp.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 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))))))
97.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (neg.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))))))
96.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 #s(approx (neg (- (- 1 z) -13/2)) (fma.f64 (/.f64 #s(literal -15/2 binary64) z) z 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))))))
97.8%
(*.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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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))))))
▶97.8%
(*.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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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))))))
97.8%
(*.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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 #s(literal 314207804027640689/720000000000000 binary64) z #s(literal 7827144361880981797/30000000000000000 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))))))
▶97.8%
(*.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 #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))))))
99.1%
(*.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))))))
▶99.1%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.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))))))
97.8%
(*.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))))))
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 (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))))))
▶97.3%
(*.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))))))
97.0%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 #s(approx (exp (+ (* (log (* (PI) 2)) 1/2) (+ (* (log (- (- 1 z) -13/2)) (- (- 1 z) 1/2)) (neg (- (- 1 z) -13/2))))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (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 3 284 to 1 868 computations (43.1% saved)

simplify163.0ms (0.7%)

Memory
8.7MiB live, 197.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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-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-diff128
(neg.f64 (+.f64 (+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 7 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 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-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
01624336
02793595
15253367
218592766
366402766
089082766
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 (PI.f64)) (*.f64 (sqrt.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 (+.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
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#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 (sqrt.f64 (PI.f64)) (PI.f64)) (sin.f64 (*.f64 z (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 (+.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 #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 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (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 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (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 (+.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 #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)))))) (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 (PI.f64)) (*.f64 (sqrt.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 (*.f64 (sqrt.f64 (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))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.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 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt.f64 #s(literal 2 binary64))
#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 (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))))
(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 #s(literal 1/2 binary64) z) (log1p.f64 (-.f64 #s(literal 13/2 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))
(+.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))))
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(+.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))))
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#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)))
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(fma.f64 #s(literal 2076511864126339/4000000000000 binary64) z #s(literal 904338909853211/2500000000000 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))
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(+.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)

localize796.0ms (3.4%)

Memory
18.1MiB live, 1 306.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.17578125
(/.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))))
accuracy2.789977340133998
(+.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))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy0.98046875
(+.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))))
accuracy1.0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.1796875
(*.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)))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy0.9765625
(*.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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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)))))
accuracy1.0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.1796875
(*.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)))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy0.98046875
(+.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))))
accuracy1.0
(*.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)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy0.98046875
(+.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))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.5533424323420564
(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))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Samples
345.0ms175×1valid
179.0ms64×2valid
18.0ms17×0valid
Compiler

Compiled 8 450 to 283 computations (96.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 380.0ms
const: 73.0ms (19.2% of total)
ival-add: 68.0ms (17.9% of total)
adjust: 61.0ms (16.1% of total)
ival-mult: 57.0ms (15% of total)
ival-div: 34.0ms (9% of total)
ival-exp: 23.0ms (6.1% of total)
ival-pow: 22.0ms (5.8% of total)
ival-sub: 16.0ms (4.2% of total)
ival-sqrt: 8.0ms (2.1% of total)
ival-log1p: 7.0ms (1.8% of total)
ival-sinu: 3.0ms (0.8% of total)
ival-neg: 3.0ms (0.8% of total)
exact: 2.0ms (0.5% of total)
ival-pi: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.1%)

Memory
19.5MiB live, 19.5MiB allocated
Counts
24 → 252
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 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 (-.f64 #s(literal 1 binary64) z) #s(literal 1 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 (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 #s(literal 1 binary64) z) #s(literal -13/2 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))))
(sqrt.f64 (PI.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 (*.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 #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 (*.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)))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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)) #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 #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 (+.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))))
Outputs
(* -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))
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
(- z 15/2)
(- z 15/2)
(- z 15/2)
(/ (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)))
(+ (* z (- (+ (* z (- (/ (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))) (* 1/2 (/ (sqrt 15/2) (exp 15/2)))))) (/ (* (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)))
(+ (* z (- (+ (* z (- (+ (* z (- (/ (* (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)) (+ (* -1 (- (/ (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))) (* 1/2 (/ (sqrt 15/2) (exp 15/2)))))) (+ (* -1/6 (/ (sqrt 15/2) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))))))) (/ (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))) (* 1/2 (/ (sqrt 15/2) (exp 15/2)))))) (/ (* (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)))
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)))))))
7827144361880981797/30000000000000000
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* 62898174544540606049/103680000000000000 z))))))
7827144361880981797/30000000000000000
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
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Calls

3 calls:

TimeVariablePointExpression
5.0ms
z
@inf
((- (- 1 z) 1) (- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- (neg z) -13/2) (+ (- (- 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) (neg (+ (+ (- (- 1 z) 1) 7) 1/2)) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))) (- (- 1 z) -13/2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (sqrt (PI)) (+ (+ (+ (+ 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))) (* (* (* (sqrt 15/2) (sqrt 2)) (exp -15/2)) (sqrt (PI))) (+ (+ (+ (+ 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))) (* (* (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)) (* (* (* (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))) (/ 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) 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))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))
5.0ms
z
@0
((- (- 1 z) 1) (- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- (neg z) -13/2) (+ (- (- 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) (neg (+ (+ (- (- 1 z) 1) 7) 1/2)) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))) (- (- 1 z) -13/2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (sqrt (PI)) (+ (+ (+ (+ 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))) (* (* (* (sqrt 15/2) (sqrt 2)) (exp -15/2)) (sqrt (PI))) (+ (+ (+ (+ 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))) (* (* (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)) (* (* (* (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))) (/ 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) 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))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))
4.0ms
z
@-inf
((- (- 1 z) 1) (- (- 1 z) 1/2) (+ -1 (+ -13/2 z)) (- (neg z) -13/2) (+ (- (- 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) (neg (+ (+ (- (- 1 z) 1) 7) 1/2)) (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))) (- (- 1 z) -13/2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (sqrt (PI)) (+ (+ (+ (+ 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))) (* (* (* (sqrt 15/2) (sqrt 2)) (exp -15/2)) (sqrt (PI))) (+ (+ (+ (+ 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))) (* (* (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)) (* (* (* (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))) (/ 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) 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))) (/ 7713234287776531/10000000000000 (+ (- (- 1 z) 1) 3))) (/ -883075145810703/5000000000000 (+ (- (- 1 z) 1) 4))) (+ (+ 9999999999998099/10000000000000000 (/ 6765203681218851/10000000000000 (+ (- (- 1 z) 1) 1))) (/ -3147848041806007/2500000000000 (+ (- (- 1 z) 1) 2))))

simplify232.0ms (1%)

Memory
-15.5MiB live, 222.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03853444
112223287
241052996
085412860
Stop Event
1×iter limit
1×node limit
Counts
252 → 248
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))
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
(- z 15/2)
(- z 15/2)
(- z 15/2)
(/ (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)))
(+ (* z (- (+ (* z (- (/ (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))) (* 1/2 (/ (sqrt 15/2) (exp 15/2)))))) (/ (* (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)))
(+ (* z (- (+ (* z (- (+ (* z (- (/ (* (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)) (+ (* -1 (- (/ (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))) (* 1/2 (/ (sqrt 15/2) (exp 15/2)))))) (+ (* -1/6 (/ (sqrt 15/2) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))))))) (/ (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))) (* 1/2 (/ (sqrt 15/2) (exp 15/2)))))) (/ (* (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)))
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)))))))
7827144361880981797/30000000000000000
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* 62898174544540606049/103680000000000000 z))))))
7827144361880981797/30000000000000000
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* 62898174544540606049/103680000000000000 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)))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (sqrt (PI))))
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(* (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)))))
7827144361880981797/30000000000000000
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* 62898174544540606049/103680000000000000 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))))))
(* -1 z)
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(* -1 z)
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(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
z
(* z (- 1 (* 15/2 (/ 1 z))))
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(* z (- 1 (* 15/2 (/ 1 z))))
(* -1 z)
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(* z (- (* 13/2 (/ 1 z)) 1))
(* z (- (* 13/2 (/ 1 z)) 1))
(* -1 z)
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(* -1 z)
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(* z (- (* 4 (/ 1 z)) 1))
(* z (- (* 4 (/ 1 z)) 1))
(* -1 z)
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(* z (- (* 5 (/ 1 z)) 1))
(* z (- (* 5 (/ 1 z)) 1))
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* -1 z)
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(* 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))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(/ (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- 15/2 z)))
(/ (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- 15/2 z)))
(/ (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- 15/2 z)))
(/ (exp (* (log (- 15/2 z)) (- 1/2 z))) (exp (- 15/2 z)))
(* -1 z)
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (/ 585619739096309/2500000000000 (pow z 2))) (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (+ (* 1219830531815489/5000000000000 (/ 1 (pow z 3))) (/ 585619739096309/2500000000000 (pow z 2)))) (* 30223877537487/2500000000000 (/ 1 z)))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (/ 585619739096309/2500000000000 (pow z 2))) (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (+ (* 1219830531815489/5000000000000 (/ 1 (pow z 3))) (/ 585619739096309/2500000000000 (pow z 2)))) (* 30223877537487/2500000000000 (/ 1 z)))
(* (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 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2)))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))))
(+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 2)) (sqrt (PI))))))
(+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 3)) (sqrt (PI)))) (+ (* -611458333333720910362579/25000000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) z) (sqrt (PI)))) (+ (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))))) (* 1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (* (log (- 15/2 z)) (- 1/2 z))) (* (exp (- z 15/2)) (sqrt 2))) (pow z 2)) (sqrt (PI)))))))
(* (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 (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (/ 585619739096309/2500000000000 (pow z 2))) (* 30223877537487/2500000000000 (/ 1 z)))
(- (+ 9999999999998099/10000000000000000 (+ (* 1219830531815489/5000000000000 (/ 1 (pow z 3))) (/ 585619739096309/2500000000000 (pow z 2)))) (* 30223877537487/2500000000000 (/ 1 z)))
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)
(* -1 z)
(* -1 z)
(* -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)))))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 z)
(* -1 (* z (- 1 (* 13/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 13/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 13/2 (/ 1 z)))))
(* -1 z)
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(* -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)))))
(* -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)))))
z
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(/ (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))))
(* -1 z)
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
(* -1 (* z (- 1 (* 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))))
(exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z))))
9999999999998099/10000000000000000
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) z)))
9999999999998099/10000000000000000
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(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) 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))))
(* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))
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(+ (* -1 (/ (+ (* -1078390842009938509147167/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 9999999999998099/10000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -398308844029173303716389/6250000000000000000000 (* (/ (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))) z) (sqrt (PI)))) (* 1078390842009938509147167/6250000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 611458333333720910362579/25000000000000000000000 (* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2)))))) z)) (* 9999999999998099/10000000000000000 (* (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 (* 30223877537487/2500000000000 (/ 1 z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) 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)))
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)
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(-.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)
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(-.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)
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)
4
#s(literal 4 binary64)
(+ 4 (* -1 z))
(-.f64 #s(literal 4 binary64) z)
(+ 4 (* -1 z))
(-.f64 #s(literal 4 binary64) z)
(+ 4 (* -1 z))
(-.f64 #s(literal 4 binary64) z)
5
#s(literal 5 binary64)
(+ 5 (* -1 z))
(-.f64 #s(literal 5 binary64) z)
(+ 5 (* -1 z))
(-.f64 #s(literal 5 binary64) z)
(+ 5 (* -1 z))
(-.f64 #s(literal 5 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)
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(-.f64 #s(literal 15/2 binary64) z)
7
#s(literal 7 binary64)
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(-.f64 #s(literal 7 binary64) z)
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(-.f64 #s(literal 7 binary64) z)
(+ 7 (* -1 z))
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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))
(/ (sqrt 15/2) (exp 15/2))
(*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))
(+ (* 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)))
(fma.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64)))) z (*.f64 (exp.f64 #s(literal -15/2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))))
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(+ (* z (- (+ (* z (- (+ (* z (- (/ (* (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)) (+ (* -1 (- (/ (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (exp 15/2)) (+ (* -1 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))) (* 1/2 (/ (sqrt 15/2) (exp 15/2)))))) (+ (* -1/6 (/ (sqrt 15/2) (exp 15/2))) (* 1/2 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))))))) (/ (* (sqrt 15/2) (+ 29/225 (* 1/2 (pow (- (* -1 (log 15/2)) 1/15) 2)))) (exp 15/2))) (+ (* -1 (- (/ (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15)) (exp 15/2)) (* -1 (/ (sqrt 15/2) (exp 15/2))))) (* 1/2 (/ (sqrt 15/2) (exp 15/2)))))) (/ (* (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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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)
(exp (- (* 1/2 (log 15/2)) 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))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
(*.f64 (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 (PI.f64))) (sqrt.f64 #s(literal 2 binary64))) (exp.f64 (-.f64 z #s(literal 15/2 binary64))))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 30223877537487/2500000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- 30223877537487/2500000000000 (* 585619739096309/2500000000000 (/ 1 z))) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 #s(literal 585619739096309/2500000000000 binary64) z)) z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal 30223877537487/2500000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1219830531815489/5000000000000 binary64) z) #s(literal 585619739096309/2500000000000 binary64)) z)) z))
9999999999998099/10000000000000000
#s(literal 9999999999998099/10000000000000000 binary64)
(+ 9999999999998099/10000000000000000 (* 5826188486005177/10000000000000 (/ 1 z)))
(+.f64 (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z) #s(literal 9999999999998099/10000000000000000 binary64))
(+ 9999999999998099/10000000000000000 (+ (* 5826188486005177/10000000000000 (/ 1 z)) (/ 3683516130645841/2000000000000 (pow z 2))))
(+.f64 (+.f64 (/.f64 #s(literal 3683516130645841/2000000000000 binary64) (*.f64 z z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal 5826188486005177/10000000000000 binary64) z))
(+ 9999999999998099/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 3683516130645841/2000000000000 (* 43600364987677261/10000000000000 (/ 1 z))) z)) 5826188486005177/10000000000000) z)))
(-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 (-.f64 #s(literal -5826188486005177/10000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 43600364987677261/10000000000000 binary64) z) #s(literal 3683516130645841/2000000000000 binary64)) z)) z))

rewrite278.0ms (1.2%)

Memory
33.6MiB live, 260.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0118485
0197404
1897350
08265350
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 738
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 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 (-.f64 #s(literal 1 binary64) z) #s(literal 1 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 (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 #s(literal 1 binary64) z) #s(literal -13/2 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))))
(sqrt.f64 (PI.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 (*.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 #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 (*.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)))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
(*.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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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)) #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 #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 (+.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))))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(/.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 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (expm1.f64 (*.f64 (log1p.f64 (neg.f64 z)) #s(literal 3 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(fma.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 z z z))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 z #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))
(+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)))
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(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
(*.f64 (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3/2 binary64))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)))))
(*.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 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 (-.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (+.f64 z #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.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 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64))))) (+.f64 (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 3 binary64)))))
(fma.f64 (-.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9999999999998099/10000000000000000 binary64) (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal 999999999999429700000000108414029999993130164299/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 99999999999961980000000003613801/100000000000000000000000000000000 binary64) (pow.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (/.f64 #s(literal 67652036812175649347802002964249/100000000000000000000000000000 binary64) (-.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
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(fma.f64 #s(literal 3147848041806007/2500000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)))
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(-.f64 (/.f64 (pow.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 9999999999998099/10000000000000000 binary64)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))))
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(+.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)))
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(+.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 9999999999998099/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 6765203681218851/10000000000000 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -3147848041806007/2500000000000 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))))

eval868.0ms (3.8%)

Memory
20.3MiB live, 1 388.0MiB allocated
Compiler

Compiled 476 261 to 17 118 computations (96.4% saved)

prune122.0ms (0.5%)

Memory
10.7MiB live, 268.0MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New3 500153 515
Fresh718
Picked505
Done000
Total3 512163 528
Accuracy
99.6%
Counts
3 528 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
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▶97.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (neg.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))))))
97.8%
(*.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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 #s(literal 314207804027640689/720000000000000 binary64) z #s(literal 7827144361880981797/30000000000000000 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))))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 #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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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))))))
97.6%
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▶98.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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))))))
98.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 #s(literal 314207804027640689/720000000000000 binary64) z #s(literal 7827144361880981797/30000000000000000 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))))))
▶98.4%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) #s(literal 7827144361880981797/30000000000000000 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 (*.f64 #s(approx (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))) (*.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)))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 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))))))
97.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (PI.f64))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.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))) #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))))))
97.3%
(*.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) #s(approx (+ (- (- 1 z) 1) 4) #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 (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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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 (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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 #s(literal 314207804027640689/720000000000000 binary64) z #s(literal 7827144361880981797/30000000000000000 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 (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 #s(approx (+ (+ (+ (+ 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))) #s(literal 7827144361880981797/30000000000000000 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))))))
▶98.2%
(*.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 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
▶97.2%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
Compiler

Compiled 4 080 to 2 404 computations (41.1% saved)

simplify190.0ms (0.8%)

Memory
-22.4MiB live, 209.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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-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))
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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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
01583638
02573065
14972914
218052430
358622430
083612430
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 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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
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(+.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))
#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 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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)) #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (/.f64 (PI.f64) (sin.f64 (*.f64 z (PI.f64))))) (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)) (sqrt.f64 #s(literal 2 binary64))))) (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 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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 #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)) #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))))))) (sqrt.f64 (PI.f64))) (*.f64 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z))))
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(*.f64 (*.f64 (sqrt.f64 (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))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.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 (*.f64 (exp.f64 (-.f64 z #s(literal 15/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 15/2 binary64) z) (-.f64 #s(literal 1/2 binary64) z)))
(sqrt.f64 #s(literal 2 binary64))
#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 #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)
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#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)
#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)

localize892.0ms (3.9%)

Memory
-28.4MiB live, 1 043.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.98046875
(+.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))))
accuracy1.0
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))
accuracy1.1796875
(*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy0.9765625
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.5533424323420564
(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))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy0.98046875
(+.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))))
accuracy1.0
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 binary64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
accuracy0.2734375
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
accuracy0.30078125
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
accuracy0.8312218458482783
#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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64)))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy0.9765625
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy1.5533424323420564
(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))))
accuracy59.38483159095712
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
Samples
406.0ms175×1valid
215.0ms64×2valid
23.0ms17×0valid
Compiler

Compiled 7 067 to 293 computations (95.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 449.0ms
const: 99.0ms (22% of total)
ival-mult: 69.0ms (15.4% of total)
adjust: 66.0ms (14.7% of total)
ival-add: 63.0ms (14% of total)
ival-pow: 54.0ms (12% of total)
ival-div: 27.0ms (6% of total)
ival-exp: 20.0ms (4.5% of total)
ival-sub: 18.0ms (4% of total)
ival-neg: 12.0ms (2.7% of total)
ival-sqrt: 9.0ms (2% of total)
ival-log1p: 7.0ms (1.6% of total)
ival-sinu: 3.0ms (0.7% of total)
exact: 2.0ms (0.4% of total)
ival-pi: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
15.2MiB live, 15.2MiB allocated
Counts
22 → 216
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal -13/2 binary64) z))
(-.f64 (neg.f64 z) #s(literal -13/2 binary64))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z)))
(PI.f64)
(sin.f64 (*.f64 (PI.f64) z))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 4 binary64))
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 5 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64))
(neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 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))))
(sqrt.f64 (PI.f64))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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))))))
#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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 binary64)))
(+.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 (*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -13/2 binary64)))))
(sqrt.f64 (*.f64 (PI.f64) #s(literal 2 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))))
Outputs
(* -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 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* (sqrt (pow (PI) 3)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* (* z (- (+ (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* -1106209385320415913103082059/25200000000000000000000000 (* (PI) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))))) (sqrt (pow (PI) 3)))))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* z (+ (* (sqrt (pow (PI) 3)) (- (+ (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* -1106209385320415913103082059/25200000000000000000000000 (* (PI) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))))) (* (* z (- (+ (* 1/2 (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))) (+ (* 1106209385320415913103082059/25200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (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))))) (* -1/6 (* (pow (PI) 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))))))) (sqrt (pow (PI) 3))))) (* (sqrt (pow (PI) 3)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI))))))) 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))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
(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)))))))
(* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))
(+ (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2))) (* (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2)))))) (sqrt (PI))))
(+ (* z (+ (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2)))))) (* (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2))))
(+ (* z (+ (* z (+ (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 29/225 (* 1/2 (pow (+ 14/15 (* -1 (log 15/2))) 2)))))) (* (* z (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 86/10125 (+ (* 29/225 (+ 14/15 (* -1 (log 15/2)))) (* 1/6 (pow (+ 14/15 (* -1 (log 15/2))) 3))))))) (sqrt (PI))))) (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (* (sqrt 2) (+ 14/15 (* -1 (log 15/2)))))))) (* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2))))
(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (sqrt (PI))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* (sqrt (PI)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))) (* (* z (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (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)))))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))) (sqrt (PI))))))
(+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* z (+ (* (sqrt (PI)) (+ (* 1106209385320415913103082059/8400000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (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)))))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))))) (* (* z (+ (* 1/2 (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2)))))) (+ (* 1106209385320415913103082059/25200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (+ (* (exp -15/2) (* (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))))))) (* (exp -15/2) (* (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)))))))))) (sqrt (PI))))) (* (sqrt (PI)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))) (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))))))))
7827144361880981797/30000000000000000
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* 62898174544540606049/103680000000000000 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)))))
7827144361880981797/30000000000000000
(+ 7827144361880981797/30000000000000000 (* 314207804027640689/720000000000000 z))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* 4708246094784852251/8640000000000000 z))))
(+ 7827144361880981797/30000000000000000 (* z (+ 314207804027640689/720000000000000 (* z (+ 4708246094784852251/8640000000000000 (* 62898174544540606049/103680000000000000 z))))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
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(* z (- (* 1/2 (/ 1 z)) 1))
(* z (- (* 1/2 (/ 1 z)) 1))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* -1 z)
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(* z (- (* 13/2 (/ 1 z)) 1))
(* z (- (* 13/2 (/ 1 z)) 1))
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(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(sin (* z (PI)))
(sin (* z (PI)))
(sin (* z (PI)))
(sin (* z (PI)))
(* -1 z)
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(* z (- (* 3 (/ 1 z)) 1))
(* z (- (* 3 (/ 1 z)) 1))
(* -1 z)
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(* -1 z)
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(* -1 z)
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(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(* (sqrt (PI)) (* (exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2)) (sqrt 2)))
(* (sqrt (PI)) (* (exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2)) (sqrt 2)))
(* (sqrt (PI)) (* (exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2)) (sqrt 2)))
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(- (+ 9999999999998099/10000000000000000 (+ (* 1219830531815489/5000000000000 (/ 1 (pow z 3))) (/ 585619739096309/2500000000000 (pow z 2)))) (* 30223877537487/2500000000000 (/ 1 z)))
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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))))
9999999999998099/10000000000000000
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(* -1 (* z (- 1 (* 1/2 (/ 1 z)))))
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z
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(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(sin (* z (PI)))
(sin (* z (PI)))
(sin (* z (PI)))
(sin (* z (PI)))
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(* -1 z)
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(* -1 (* z (- 1 (* 15/2 (/ 1 z)))))
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z
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(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(* -1 (* z (- (* 15/2 (/ 1 z)) 1)))
(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))))
(* (sqrt (PI)) (* (exp (- (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z))) (+ 15/2 (* -1 z)))) (sqrt 2)))
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(- 9999999999998099/10000000000000000 (* 30223877537487/2500000000000 (/ 1 z)))
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(* (sqrt (PI)) (* (exp (neg (+ 15/2 (* -1 z)))) (* (exp (* (log (+ 15/2 (* -1 z))) (+ 1/2 (* -1 z)))) (sqrt 2))))
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9999999999998099/10000000000000000
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(+ 9999999999998099/10000000000000000 (* -1 (/ (+ 30223877537487/2500000000000 (* -1 (/ (+ 585619739096309/2500000000000 (* 1219830531815489/5000000000000 (/ 1 z))) z))) z)))
Calls

3 calls:

TimeVariablePointExpression
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) 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))) (/ 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) -13/2) (neg (- (- 1 z) -13/2)) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (sqrt (PI)) (* (sqrt (PI)) (* (sqrt 2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))))) (* (* (* (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))) (/ 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 -15/2)) (sqrt 15)) (+ (+ (+ (+ 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))) (* (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (neg (- (- 1 z) -13/2)))) (sqrt (* (PI) 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))))
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) 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))) (/ 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) -13/2) (neg (- (- 1 z) -13/2)) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (sqrt (PI)) (* (sqrt (PI)) (* (sqrt 2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))))) (* (* (* (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))) (/ 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 -15/2)) (sqrt 15)) (+ (+ (+ (+ 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))) (* (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (neg (- (- 1 z) -13/2)))) (sqrt (* (PI) 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))))
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) 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))) (/ 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) -13/2) (neg (- (- 1 z) -13/2)) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))) (sqrt (PI)) (* (sqrt (PI)) (* (sqrt 2) (exp (+ (* (- (- 1 z) 1/2) (log (+ 1 (- (neg z) -13/2)))) (+ -1 (+ -13/2 z)))))) (* (* (* (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))) (/ 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 -15/2)) (sqrt 15)) (+ (+ (+ (+ 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))) (* (* (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (sqrt (* (PI) 2))) (exp (neg (- (- 1 z) -13/2)))) (sqrt (* (PI) 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))))

simplify380.0ms (1.6%)

Memory
-12.5MiB live, 300.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04834058
116013860
260653539
087653373
Stop Event
1×iter limit
1×node limit
Counts
216 → 212
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 (* (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) z) (sqrt (PI))))
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* (* z (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (sqrt (pow (PI) 3)))) z)
(/ (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))) (* z (+ (* (sqrt (pow (PI) 3)) (+ (* 1106209385320415913103082059/4200000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (/ (* (exp -15/2) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* (* z (- (+ (* 1106209385320415913103082059/8400000000000000000000000 (/ (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))) (PI))) (+ (/ (* (exp -15/2) (* (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) (* (sqrt 2) (+ (* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt 15/2) (- (* -1 (log 15/2)) 1/15))) (* 102757979785251069442117317613/235200000000000000000000000 (sqrt 15/2))))) (PI)))) (* -1106209385320415913103082059/25200000000000000000000000 (* (PI) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))))) (sqrt (pow (PI) 3)))))) z)
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(/ 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))
-15/2
(- z 15/2)
(- z 15/2)
(- z 15/2)
(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)))))))
(* (sqrt (PI)) (* (exp (- (* 1/2 (log 15/2)) 15/2)) (sqrt 2)))
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(* 1106209385320415913103082059/4200000000000000000000000 (* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2)))))
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7827144361880981797/30000000000000000
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(* (sqrt (PI)) (* (exp -15/2) (* (sqrt 2) (sqrt 15/2))))
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7827144361880981797/30000000000000000
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(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(/ (PI) (sin (* z (PI))))
(sin (* z (PI)))
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(* -1 z)
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(* z (- (* 15/2 (/ 1 z)) 1))
(* z (- (* 15/2 (/ 1 z)) 1))
z
(* z (- 1 (* 15/2 (/ 1 z))))
(* z (- 1 (* 15/2 (/ 1 z))))
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(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
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(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
(exp (- (+ z (* (log (- 15/2 z)) (- 1/2 z))) 15/2))
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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)
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#s(literal -15/2 binary64)
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13/2
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rewrite461.0ms (2%)

Memory
38.0MiB live, 348.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0117502
0174416
1824385
08141385
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 622
Calls
Call 1
Inputs
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(sqrt.f64 (PI.f64))
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#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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64)))))
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(+.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))))
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(+.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))))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(fma.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64) #s(literal -1 binary64))
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(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))))
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(/.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) #s(literal 1/2 binary64))))
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eval698.0ms (3%)

Memory
41.4MiB live, 1 070.2MiB allocated
Compiler

Compiled 352 959 to 11 301 computations (96.8% saved)

prune196.0ms (0.9%)

Memory
-1.0MiB live, 417.1MiB allocated
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New2 609262 635
Fresh8311
Picked505
Done000
Total2 622292 651
Accuracy
100.0%
Counts
2 651 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
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97.2%
(/.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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
98.4%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.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 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
97.2%
(*.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 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
98.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) z))) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
97.8%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.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))) (*.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 15/2 binary64) z))) (+.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))) #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64)))))))))))
97.8%
(*.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 (+.f64 #s(literal -15/2 binary64) z)))) (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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))))))
97.3%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- (- 1 z) -13/2) #s(literal 15/2 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (neg.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))))))
97.8%
(*.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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 #s(literal 314207804027640689/720000000000000 binary64) z #s(literal 7827144361880981797/30000000000000000 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))))))
98.7%
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 binary64))) (/.f64 #s(literal 2501468655737381/200000000000000 binary64) #s(approx (+ (- (- 1 z) 1) 5) (-.f64 #s(literal 5 binary64) z)))) (/.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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (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 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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 (*.f64 #s(approx (/ (pow (- (- 1 z) -13/2) (- (- 1 z) 1/2)) (exp (- (- 1 z) -13/2))) (*.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)))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 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))))))
98.2%
(*.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 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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) #s(approx (+ (- (- 1 z) 1) 4) #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))))))
98.1%
(*.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 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 binary64)))) (+.f64 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 #s(literal 4708246094784852251/8640000000000000 binary64) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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) #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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
98.2%
(*.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 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
97.2%
(*.f64 (/.f64 (PI.f64) #s(approx (sin (* (PI) z)) (*.f64 (PI.f64) z))) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
98.0%
(*.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.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 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
97.3%
(*.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
97.8%
(*.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 (*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (neg.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))))))
99.2%
(*.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 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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 #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 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
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)) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
97.8%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.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))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 2 binary64)))) (exp.f64 (neg.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))))))
99.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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 #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 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
97.2%
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
97.9%
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (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))) (/ 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 12 673 to 2 753 computations (78.3% saved)

regimes115.0ms (0.5%)

Memory
-17.2MiB live, 94.8MiB allocated
Counts
67 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (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))) (/ 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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(*.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 (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) (fma.f64 (/.f64 #s(literal 15/2 binary64) z) z (neg.f64 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 (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 (exp.f64 #s(literal -15/2 binary64)) (fma.f64 (*.f64 (+.f64 (-.f64 #s(literal -1/15 binary64) (log.f64 #s(literal 15/2 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) z (*.f64 (sqrt.f64 #s(literal 15/2 binary64)) (sqrt.f64 #s(literal 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))))))
(*.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))))))
(*.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))))))
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 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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:

50.0ms
(*.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))))))
23.0ms
z
Results
AccuracySegmentsBranch
99.2%1z
99.2%1(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) #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)

regimes19.0ms (0.1%)

Memory
4.4MiB live, 41.3MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
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(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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 #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 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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) #s(approx (+ (- (- 1 z) 1) 4) #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 #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 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
(*.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) #s(approx (+ (- (- 1 z) 1) 4) #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 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.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 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
Outputs
(*.f64 #s(approx (/ (PI) (sin (* (PI) z))) (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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:

9.0ms
z
7.0ms
(*.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
99.2%1z
99.2%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)

regimes16.0ms (0.1%)

Memory
-1.8MiB live, 33.8MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (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))) (/ 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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (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:

7.0ms
z
6.0ms
(*.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
98.3%1z
98.3%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))))))
Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes10.0ms (0%)

Memory
32.2MiB live, 32.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (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))) (/ 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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(/.f64 (*.f64 (PI.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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))) (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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(*.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(*.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 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
(*.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 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
Outputs
(*.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 (sqrt.f64 (PI.f64)) (exp.f64 #s(literal -15/2 binary64))) (sqrt.f64 #s(literal 15 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))))))
Calls

2 calls:

5.0ms
(*.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))))))
4.0ms
z
Results
AccuracySegmentsBranch
98.3%1z
98.3%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))))))
Compiler

Compiled 124 to 61 computations (50.8% saved)

regimes11.0ms (0%)

Memory
-13.4MiB live, 22.9MiB allocated
Accuracy

Total -0.6b remaining (-48.1%)

Threshold costs -0.6b (-48.1%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (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))) (/ 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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(/.f64 (*.f64 (PI.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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64))))) (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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 (PI.f64)) #s(literal 1106209385320415913103082059/4200000000000000000000000 binary64)))) (/.f64 (sin.f64 (*.f64 (PI.f64) z)) (PI.f64)))
(*.f64 (/.f64 (PI.f64) (sin.f64 (*.f64 (PI.f64) z))) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
(*.f64 (*.f64 (neg.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) z))))) #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)))) (+ (+ (+ (+ (+ (+ (+ (+ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 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) 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))) (/ 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 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 15/2 binary64))) (exp.f64 #s(literal -15/2 binary64))))))
Outputs
#s(approx (* (/ (PI) (sin (* (PI) z))) (* (* (* (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))) (/ 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))))
Calls

2 calls:

6.0ms
(*.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))))))
3.0ms
z
Results
AccuracySegmentsBranch
97.9%1z
97.9%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)

simplify58.0ms (0.2%)

Memory
-13.5MiB live, 75.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149681
1198681
2211681
3224681
4228681
5229681
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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 (PI.f64)) (*.f64 (sqrt.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 (+.f64 (+.f64 (+.f64 #s(approx (+ (+ (+ (+ 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))) (fma.f64 (fma.f64 (fma.f64 #s(literal 62898174544540606049/103680000000000000 binary64) z #s(literal 4708246094784852251/8640000000000000 binary64)) z #s(literal 314207804027640689/720000000000000 binary64)) z #s(literal 7827144361880981797/30000000000000000 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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Outputs
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soundness1.4s (6.1%)

Memory
-71.4MiB live, 1 120.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03853444
112223287
241052996
085412860
079287
0134240
1541221
24536221
08170217
0118485
0197404
1897350
08265350
02492454
17862310
223812112
377042086
080402007
04834058
116013860
260653539
087653373
0117502
0174416
1824385
08141385
0148733
1456692
21417648
35091647
08074626
Stop Event
1×fuel
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×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 2 522 to 1 150 computations (54.4% saved)

preprocess70.0ms (0.3%)

Memory
3.8MiB live, 195.1MiB allocated
Compiler

Compiled 1 608 to 444 computations (72.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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