VandenBroeck and Keller, Equation (20)

Time bar (total: 43.2s)

analyze476.0ms (1.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%75%0%0%25%0%3
0%0%62.5%0%0%25%12.5%4
0%0%56.2%0%0%25%18.7%5
6.3%3.1%46.9%0%0%28.1%21.9%6
6.5%3.1%45.3%0%0%28.1%23.4%7
6.6%3.1%44.5%0%0%28.1%24.2%8
8.3%3.9%43.3%0%0%28.5%24.2%9
8.7%4.1%43.1%0%0%28.5%24.2%10
9.1%4.3%42.9%0%0%28.6%24.2%11
9.1%4.3%42.8%0%0%28.6%24.3%12
Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 317.0ms
Operation ival-div, time spent: 88.0ms, 28.0% of total-time
Operation ival-mult, time spent: 69.0ms, 22.0% of total-time
Operation ival-exp, time spent: 55.0ms, 17.0% of total-time
Operation ival-log, time spent: 44.0ms, 14.0% of total-time
Operation ival-neg, time spent: 23.0ms, 7.0% of total-time
Operation ival-pi, time spent: 10.0ms, 3.0% of total-time
Operation ival-add, time spent: 9.0ms, 3.0% of total-time
Operation ival-sub, time spent: 9.0ms, 3.0% of total-time
Operation const, time spent: 8.0ms, 3.0% of total-time

sample12.7s (29.5%)

Results
3.5s3971×1024valid
3.2s3839×1024invalid
1.3s2092×512valid
1.2s2023×512invalid
609.0ms1836×256valid
342.0ms977×256invalid
843.0ms356×2048valid
1.0ms5×256unsamplable
0.0ms1×512valid
Precisions
Click to see histograms. Total time spent on operations: 8.8s
Operation ival-exp, time spent: 2.4s, 28.0% of total-time
Operation ival-div, time spent: 1.9s, 22.0% of total-time
Operation ival-mult, time spent: 1.7s, 20.0% of total-time
Operation ival-log, time spent: 1.1s, 13.0% of total-time
Operation ival-neg, time spent: 683.0ms, 8.0% of total-time
Operation ival-add, time spent: 322.0ms, 4.0% of total-time
Operation ival-sub, time spent: 212.0ms, 2.0% of total-time
Operation ival-pi, time spent: 207.0ms, 2.0% of total-time
Operation const, time spent: 160.0ms, 2.0% of total-time
Bogosity

preprocess2.3s (5.3%)

Algorithm
1×egg-herbie
Rules
3700×fma-define
1678×fma-neg
706×distribute-lft-in
650×distribute-rgt-in
606×div-sub
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2470-0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
50-0-(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
10-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
10-0-(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
10-0-(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
00-0-(PI.f64)
00-0-(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
00-0-(*.f64 (/.f64 (PI.f64) 4) f)
00-0-(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
00-0-f
00-0-(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))
00-0-(+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
00-0-(/.f64 (PI.f64) 4)
00-0-4
00-0-1
00-0-(/.f64 1 (/.f64 (PI.f64) 4))
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
033584
192484
2250484
3630484
41254484
51914484
62508484
72719484
83048484
93270484
103714364
114435316
124891316
135709316
146279316
156349316
166493316
176645316
186661316
196949316
Stop Event
1×node limit
Calls
Call 1
Inputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))))
Outputs
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 -1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(*.f64 (neg.f64 (*.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))))
(*.f64 (*.f64 (/.f64 1 (PI.f64)) 4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f) (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))) (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (-.f64 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) 1/2))) (/.f64 1 (+.f64 -1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
Compiler

Compiled 434 to 320 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.3s
Operation ival-exp, time spent: 415.0ms, 31.0% of total-time
Operation ival-div, time spent: 333.0ms, 25.0% of total-time
Operation ival-mult, time spent: 259.0ms, 19.0% of total-time
Operation ival-log, time spent: 98.0ms, 7.0% of total-time
Operation ival-sub, time spent: 85.0ms, 6.0% of total-time
Operation ival-neg, time spent: 77.0ms, 6.0% of total-time
Operation ival-add, time spent: 37.0ms, 3.0% of total-time
Operation const, time spent: 25.0ms, 2.0% of total-time
Operation ival-pi, time spent: 9.0ms, 1.0% of total-time

eval8.0ms (0%)

Compiler

Compiled 236 to 174 computations (26.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.9%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

localize824.0ms (1.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.7%
(*.f64 (PI.f64) f)
✓99.7%
(/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64))))
✓99.6%
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64))))))
✓99.3%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 113 to 77 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 459.0ms
Operation composed, time spent: 140.0ms, 31.0% of total-time
Operation ival-mult, time spent: 99.0ms, 22.0% of total-time
Operation ival-exp, time spent: 81.0ms, 18.0% of total-time
Operation ival-div, time spent: 40.0ms, 9.0% of total-time
Operation ival-log, time spent: 37.0ms, 8.0% of total-time
Operation ival-sub, time spent: 34.0ms, 7.0% of total-time
Operation const, time spent: 14.0ms, 3.0% of total-time
Operation ival-add, time spent: 11.0ms, 2.0% of total-time
Operation ival-pi, time spent: 3.0ms, 1.0% of total-time

series2.4s (5.5%)

Counts
4 → 72
Calls
Call 1
Inputs
#<alt (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))>
#<alt (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64))))))>
#<alt (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64))))>
#<alt (*.f64 (PI.f64) f)>
Outputs
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (*.f64 f (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 -1/6 (/.f64 (*.f64 f (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3)))))))))) (PI.f64))))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 f (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3))))))))) (PI.f64))) (*.f64 -1/30 (/.f64 (*.f64 f (+.f64 (*.f64 -15/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 30 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))))))) (+.f64 (*.f64 1/192 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3))))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (*.f64 -1/192 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))))))) (PI.f64))))))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 f (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3))))))))) (PI.f64))) (*.f64 f (+.f64 (*.f64 -1/30 (/.f64 (+.f64 (*.f64 -15/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 30 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 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(PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3))))))))) (+.f64 (*.f64 -45/2 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))) 2))) (+.f64 (*.f64 15/4 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 3))) (*.f64 180 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) 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#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
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#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
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#<alt (/.f64 -1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
#<alt (*.f64 f (PI.f64))>
Calls

12 calls:

TimeVariablePointExpression
1.3s
f
@inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
1.0s
f
@-inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
15.0ms
f
@0
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
9.0ms
f
@0
(log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1))))
3.0ms
f
@0
(/ -1 (- (exp (* (* -1/2 f) (PI))) 1))

rewrite254.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1540×prod-diff
743×log1p-expm1-u
458×expm1-log1p-u
292×associate-*r*
202×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024184
1323184
24715184
Stop Event
1×node limit
Counts
4 → 86
Calls
Call 1
Inputs
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64))))))
(/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64))))
(*.f64 (PI.f64) f)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))))) 1)
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4)))
(/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 2))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 1))
(+.f64 0 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(+.f64 (log.f64 (hypot.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))) (log.f64 (hypot.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 1)
(-.f64 (log.f64 (+.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (log.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2) (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(*.f64 1 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) 2)
(neg.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))

simplify207.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1266×times-frac
1112×fma-define
978×associate-*r*
880×distribute-lft-in
876×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053915299
1161013296
2710013160
Stop Event
1×node limit
Counts
158 → 185
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (*.f64 f (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))
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(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 1))
(+.f64 0 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(+.f64 (log.f64 (hypot.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))) (log.f64 (hypot.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 1)
(-.f64 (log.f64 (+.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (log.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2) (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(*.f64 1 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) 2)
(neg.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (neg.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (neg.f64 (*.f64 (PI.f64) 1/12))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (*.f64 f (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 -1 (+.f64 (*.f64 f (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))) (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/24)))) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (neg.f64 (fma.f64 f (*.f64 (*.f64 (PI.f64) 1/4) (+.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))) (*.f64 (PI.f64) 1/12)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 -1/6 (/.f64 (*.f64 f (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3)))))))))) (PI.f64))))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 (pow.f64 f 2) (fma.f64 -1 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)) (*.f64 f (fma.f64 -1 (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))) (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/24))) (*.f64 -1/6 (*.f64 f (/.f64 (fma.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)) 2)) (*.f64 (*.f64 6 (PI.f64)) (-.f64 (fma.f64 -1/24 (*.f64 (*.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)) (fma.f64 -1/960 (pow.f64 (PI.f64) 3) (fma.f64 1/384 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 1/4 (PI.f64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/96) (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)))))))) (fma.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 2) -1/96))) (fma.f64 -1/24 (*.f64 (*.f64 (PI.f64) -1/24) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) -1/640)))))) (PI.f64)))))))))
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(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) 1/3)
(log.f64 (*.f64 2 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (/.f64 2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 2)
(log.f64 (*.f64 2 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (/.f64 2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 2))
(log.f64 (*.f64 2 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (/.f64 2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3))
(log.f64 (*.f64 2 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (/.f64 2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 2 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(log1p.f64 (-.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(log1p.f64 (+.f64 (*.f64 2 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) -1))
(log1p.f64 (+.f64 -1 (/.f64 2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(log.f64 (*.f64 2 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (/.f64 2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 1))
(log.f64 (*.f64 2 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (/.f64 2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1)
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -2)
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) 2)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(neg.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 (PI.f64) f)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(*.f64 (PI.f64) f)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(*.f64 (PI.f64) f)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(*.f64 (PI.f64) f)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(*.f64 (PI.f64) f)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) f)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(*.f64 (PI.f64) f)

eval305.0ms (0.7%)

Compiler

Compiled 14780 to 11533 computations (22% saved)

prune107.0ms (0.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New17510185
Fresh000
Picked101
Done000
Total17610186
Accuracy
99.3%
Counts
186 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.0%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
96.3%
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
96.0%
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶96.3%
(*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (*.f64 1/4 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))) (/.f64 -4 (PI.f64)))
35.1%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
96.2%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (+.f64 1/2 (*.f64 f (-.f64 (neg.f64 (*.f64 f (fma.f64 -1/96 (pow.f64 (PI.f64) 2) (fma.f64 1/48 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/24)))))) (*.f64 (PI.f64) -1/24)))) (/.f64 2 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
▶95.1%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
▶96.2%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
95.9%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
▶96.0%
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
Compiler

Compiled 564 to 452 computations (19.9% saved)

localize4.1s (9.5%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
✓98.4%
(*.f64 -1/12 (PI.f64))
✓97.5%
(+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))
✓97.5%
(+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))
✓96.9%
(log.f64 (/.f64 4 (PI.f64)))
✓99.3%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
✓99.0%
(*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))
✓98.4%
(*.f64 1/12 (PI.f64))
✓97.5%
(+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))
✓99.7%
(/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))
99.7%
(*.f64 (PI.f64) f)
✓99.4%
(/.f64 (/.f64 2 (PI.f64)) f)
✓99.3%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
✓99.6%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓99.4%
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
✓96.9%
(log.f64 (/.f64 4 (PI.f64)))
✓99.7%
(*.f64 (PI.f64) (*.f64 f -1/2))
✓99.7%
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
✓99.6%
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
✓99.4%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
Compiler

Compiled 736 to 516 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.2s
Operation ival-mult, time spent: 945.0ms, 29.0% of total-time
Operation composed, time spent: 511.0ms, 16.0% of total-time
Operation ival-div, time spent: 503.0ms, 16.0% of total-time
Operation ival-log, time spent: 354.0ms, 11.0% of total-time
Operation ival-add, time spent: 290.0ms, 9.0% of total-time
Operation ival-exp, time spent: 245.0ms, 8.0% of total-time
Operation ival-sub, time spent: 240.0ms, 7.0% of total-time
Operation const, time spent: 71.0ms, 2.0% of total-time
Operation ival-pow, time spent: 42.0ms, 1.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series2.7s (6.3%)

Counts
18 → 168
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))>
#<alt (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))>
#<alt (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))>
#<alt (*.f64 (PI.f64) (*.f64 f -1/2))>
#<alt (log.f64 (/.f64 4 (PI.f64)))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))>
#<alt (/.f64 (/.f64 2 (PI.f64)) f)>
#<alt (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))>
#<alt (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))>
#<alt (*.f64 1/12 (PI.f64))>
#<alt (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))>
#<alt (log.f64 (/.f64 4 (PI.f64)))>
#<alt (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))>
#<alt (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))>
#<alt (*.f64 -1/12 (PI.f64))>
Outputs
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))>
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#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 (pow.f64 f 2) (PI.f64)))) (+.f64 (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -12 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2)))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 3) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3)))) (*.f64 (pow.f64 f 3) (PI.f64)))) (*.f64 4 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 f (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 (pow.f64 f 2) (PI.f64)))) (+.f64 (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -12 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2)))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 3) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3)))) (*.f64 (pow.f64 f 3) (PI.f64)))) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (+.f64 (*.f64 -48 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3)))) (*.f64 -6 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 4) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 4)))) (*.f64 48 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))))) (*.f64 (pow.f64 f 4) (PI.f64)))) (*.f64 4 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 f (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 (pow.f64 f 2) (PI.f64)))) (+.f64 (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -12 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2)))) (*.f64 -2 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 3) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3)))) (*.f64 (pow.f64 f 3) (PI.f64)))) (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (+.f64 (*.f64 -48 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3)))) (*.f64 -6 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 4) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 4)))) (*.f64 48 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))))) (*.f64 (pow.f64 f 4) (PI.f64)))) (+.f64 (*.f64 -1/30 (/.f64 (+.f64 (*.f64 -480 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3)))) (+.f64 (*.f64 -240 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 3) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 4)))) (*.f64 -24 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 5) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 5))))) (*.f64 (pow.f64 f 5) (PI.f64)))) (*.f64 4 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 f (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))))))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))) (*.f64 1/2 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) f)))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (+.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))) (*.f64 1/2 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 f (PI.f64))))) f)))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (+.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))) (*.f64 1/2 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (PI.f64))) (*.f64 2/3 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 3) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3))) (*.f64 12 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))))) (*.f64 f (PI.f64))))) f))) f)))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (+.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))) (*.f64 1/2 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (PI.f64))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2/3 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 3) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3))) (*.f64 12 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))))) (PI.f64))) (*.f64 1/6 (/.f64 (-.f64 (+.f64 (*.f64 -48 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3)))) (*.f64 -6 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 4) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 4)))) (*.f64 48 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))))) (*.f64 f (PI.f64))))) f))) f))) f)))>
#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -4 (+.f64 (/.f64 1 (*.f64 (PI.f64) (*.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))) (*.f64 1/2 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -2 (/.f64 (-.f64 (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (PI.f64))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/6 (/.f64 (-.f64 (+.f64 (*.f64 -48 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3)))) (*.f64 -6 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 4) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 4)))) (*.f64 48 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))))) (PI.f64))) (*.f64 1/30 (/.f64 (+.f64 (*.f64 24 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 5) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 5))) (+.f64 (*.f64 240 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 3) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 4)))) (*.f64 480 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3)))))) (*.f64 f (PI.f64))))) f)) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 3) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 3))) (*.f64 12 (/.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (*.f64 (PI.f64) (pow.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) 2))))) (PI.f64)))) f))) f))) f)))>
Calls

33 calls:

TimeVariablePointExpression
1.9s
f
@0
(/ (- (log (/ 4 (PI))) (log f)) (PI))
469.0ms
f
@-inf
(/ (- (log (/ 4 (PI))) (log f)) (PI))
286.0ms
f
@inf
(/ (- (log (/ 4 (PI))) (log f)) (PI))
11.0ms
f
@0
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ (+ (* f (+ 1/2 (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))))) (* 2 (/ 1 (PI)))) f))) (/ -4 (PI)))
10.0ms
f
@0
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ (/ 2 (PI)) f))) (/ -4 (PI)))

rewrite163.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
474×log1p-expm1-u
471×expm1-log1p-u
464×add-exp-log
459×add-log-exp
444×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062553
11119551
Stop Event
1×node limit
Counts
18 → 354
Calls
Call 1
Inputs
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
(log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (PI.f64) (*.f64 f -1/2))
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))
(+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))
(*.f64 1/12 (PI.f64))
(*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))
(+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))
(*.f64 -1/12 (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))))) 1)
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))
(*.f64 1 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))))
(*.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))) 2) (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))) (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))))
(pow.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))) -1)
(log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) -4) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))) 1))
(+.f64 0 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 2)) (log.f64 (cbrt.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) (log.f64 (sqrt.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))) 1)
(-.f64 (log.f64 (+.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) (*.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1))) (log.f64 (*.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -3) (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 3))) (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -2) (-.f64 (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2) (*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -2) (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2))) (log.f64 (-.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(*.f64 1 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(*.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) (sqrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) 2)
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(log1p.f64 (-.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 1 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2)) (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2)
(pow.f64 (neg.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1) -1)
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 f -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 f -1/2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 1))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 0 (log.f64 (/.f64 (PI.f64) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
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(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))))) 1))
(+.f64 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 0 (log.f64 (/.f64 (PI.f64) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/24))) 1)
(*.f64 1 (*.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) -1/24)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/24)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/512) (*.f64 (pow.f64 (PI.f64) 3) 1/1728)) (+.f64 (pow.f64 (*.f64 (PI.f64) -1/8) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (*.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/8) 2) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (fma.f64 (PI.f64) -1/8 (neg.f64 (*.f64 (PI.f64) 1/12))))
(pow.f64 (*.f64 (PI.f64) -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/24)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) -1/24)) 1))
(fma.f64 1 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12))
(fma.f64 1 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/8))
(fma.f64 (PI.f64) -1/8 (*.f64 (PI.f64) 1/12))
(fma.f64 (PI.f64) 1/12 (*.f64 (PI.f64) -1/8))
(fma.f64 -1/8 (PI.f64) (*.f64 (PI.f64) 1/12))
(fma.f64 1/12 (PI.f64) (*.f64 (PI.f64) -1/8))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/8)) (*.f64 (PI.f64) 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) -1/8))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/8)) (sqrt.f64 (*.f64 (PI.f64) -1/8)) (*.f64 (PI.f64) 1/12))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) (sqrt.f64 (*.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) -1/8))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/24))) 1)
(*.f64 1 (*.f64 (PI.f64) 1/24))
(*.f64 (PI.f64) 1/24)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/24)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/24)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/24)) (sqrt.f64 (*.f64 (PI.f64) 1/24)))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/1728) (*.f64 (pow.f64 (PI.f64) 3) 1/512)) (+.f64 (pow.f64 (*.f64 (PI.f64) -1/12) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 2) (*.f64 (*.f64 (PI.f64) -1/12) (*.f64 (PI.f64) 1/8)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/12) 2) (pow.f64 (*.f64 (PI.f64) 1/8) 2)) (-.f64 (*.f64 (PI.f64) -1/12) (*.f64 (PI.f64) 1/8)))
(pow.f64 (*.f64 (PI.f64) 1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/24)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/24))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/24)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/24)) 1))
(fma.f64 1 (*.f64 (PI.f64) -1/12) (*.f64 (PI.f64) 1/8))
(fma.f64 1 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/12))
(fma.f64 (PI.f64) -1/12 (*.f64 (PI.f64) 1/8))
(fma.f64 (PI.f64) 1/8 (*.f64 (PI.f64) -1/12))
(fma.f64 -1/12 (PI.f64) (*.f64 (PI.f64) 1/8))
(fma.f64 1/8 (PI.f64) (*.f64 (PI.f64) -1/12))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) -1/12) 2)) (cbrt.f64 (*.f64 (PI.f64) -1/12)) (*.f64 (PI.f64) 1/8))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/12))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/12)) (sqrt.f64 (*.f64 (PI.f64) -1/12)) (*.f64 (PI.f64) 1/8))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/12))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/12))) 1)
(pow.f64 (*.f64 (PI.f64) -1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/12)) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/12)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) -1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/12))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/1728))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/12)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) -1/12)) 1))

simplify357.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1630×distribute-lft-in
1608×distribute-rgt-in
820×*-commutative
510×+-commutative
400×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0146738633
1411338043
Stop Event
1×node limit
Counts
522 → 535
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (*.f64 f (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))
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(pow.f64 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))) -1)
(log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) -4) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))))))
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(+.f64 0 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))) 1)
(-.f64 (log.f64 (+.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) (*.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1))) (log.f64 (*.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
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(-.f64 (log.f64 (-.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -2) (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2))) (log.f64 (-.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(*.f64 1 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
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(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) 2)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 1 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2)) (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2)
(pow.f64 (neg.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1) -1)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
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(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
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(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 f -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 f -1/2) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
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(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 0 (log.f64 (/.f64 (PI.f64) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
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(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)
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(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
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(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
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(*.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
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(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)
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(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
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(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1))
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(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (/.f64 2 (PI.f64)) f))) -4) (PI.f64))
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(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (/.f64 2 (PI.f64)) f)) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (/.f64 2 (PI.f64)) f)) (/.f64 -4 (PI.f64))) 1)))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (/.f64 2 (PI.f64)) f))) 3)))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 (PI.f64)) f))))
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(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
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(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -3) 1/3)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 1) -1)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/24))) 1)
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(fma.f64 1 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/8))
(fma.f64 (PI.f64) -1/8 (*.f64 (PI.f64) 1/12))
(fma.f64 (PI.f64) 1/12 (*.f64 (PI.f64) -1/8))
(fma.f64 -1/8 (PI.f64) (*.f64 (PI.f64) 1/12))
(fma.f64 1/12 (PI.f64) (*.f64 (PI.f64) -1/8))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) -1/8))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
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(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/1728) 1/3)
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(log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/1728))
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(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1))
(+.f64 (*.f64 f (*.f64 (PI.f64) -1/8)) (*.f64 f (*.f64 (PI.f64) 1/12)))
(+.f64 (*.f64 (*.f64 (PI.f64) -1/8) f) (*.f64 (*.f64 (PI.f64) 1/12) f))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) -1/24)))) 1)
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(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) -1/24))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/24)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) -1/24) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) -1/24))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/24))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) -1/24))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) -1/24))) 1))
(fma.f64 f (*.f64 (PI.f64) -1/8) (*.f64 f (*.f64 (PI.f64) 1/12)))
(fma.f64 (*.f64 (PI.f64) -1/8) f (*.f64 (*.f64 (PI.f64) 1/12) f))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)))))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))) -4) (PI.f64))
(pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))))) 3)
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(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) 1)))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))) 3)))
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(expm1.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))))))
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(exp.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))))) 1))
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(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
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(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/24))) 1)
(*.f64 1 (*.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) -1/24)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/24)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/512) (*.f64 (pow.f64 (PI.f64) 3) 1/1728)) (+.f64 (pow.f64 (*.f64 (PI.f64) -1/8) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (*.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/8) 2) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (fma.f64 (PI.f64) -1/8 (neg.f64 (*.f64 (PI.f64) 1/12))))
(pow.f64 (*.f64 (PI.f64) -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/24)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) -1/24)) 1))
(fma.f64 1 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12))
(fma.f64 1 (*.f64 (PI.f64) 1/12) (*.f64 (PI.f64) -1/8))
(fma.f64 (PI.f64) -1/8 (*.f64 (PI.f64) 1/12))
(fma.f64 (PI.f64) 1/12 (*.f64 (PI.f64) -1/8))
(fma.f64 -1/8 (PI.f64) (*.f64 (PI.f64) 1/12))
(fma.f64 1/12 (PI.f64) (*.f64 (PI.f64) -1/8))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/8)) (*.f64 (PI.f64) 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) -1/8))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/8)) (sqrt.f64 (*.f64 (PI.f64) -1/8)) (*.f64 (PI.f64) 1/12))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) (sqrt.f64 (*.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) -1/8))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/24))) 1)
(*.f64 1 (*.f64 (PI.f64) 1/24))
(*.f64 (PI.f64) 1/24)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/24)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/24)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 1/24)) (sqrt.f64 (*.f64 (PI.f64) 1/24)))
(/.f64 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/1728) (*.f64 (pow.f64 (PI.f64) 3) 1/512)) (+.f64 (pow.f64 (*.f64 (PI.f64) -1/12) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 2) (*.f64 (*.f64 (PI.f64) -1/12) (*.f64 (PI.f64) 1/8)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/12) 2) (pow.f64 (*.f64 (PI.f64) 1/8) 2)) (-.f64 (*.f64 (PI.f64) -1/12) (*.f64 (PI.f64) 1/8)))
(pow.f64 (*.f64 (PI.f64) 1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/24)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/24))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/24)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/24)) 1))
(fma.f64 1 (*.f64 (PI.f64) -1/12) (*.f64 (PI.f64) 1/8))
(fma.f64 1 (*.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/12))
(fma.f64 (PI.f64) -1/12 (*.f64 (PI.f64) 1/8))
(fma.f64 (PI.f64) 1/8 (*.f64 (PI.f64) -1/12))
(fma.f64 -1/12 (PI.f64) (*.f64 (PI.f64) 1/8))
(fma.f64 1/8 (PI.f64) (*.f64 (PI.f64) -1/12))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) -1/12) 2)) (cbrt.f64 (*.f64 (PI.f64) -1/12)) (*.f64 (PI.f64) 1/8))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/12))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/12)) (sqrt.f64 (*.f64 (PI.f64) -1/12)) (*.f64 (PI.f64) 1/8))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/12))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/12))) 1)
(pow.f64 (*.f64 (PI.f64) -1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/12)) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/12)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) -1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/12))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/1728))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/12)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) -1/12)) 1))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (neg.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)))))
(-.f64 (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (pow.f64 f 2) (fma.f64 (PI.f64) 1/24 (*.f64 (PI.f64) 1/24))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (*.f64 f (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (*.f64 -1 (+.f64 (*.f64 f (+.f64 (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) 1/24)) (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/24)))) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 f (neg.f64 (fma.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (*.f64 (*.f64 -1/4 (PI.f64)) (*.f64 (PI.f64) 1/24))))) (fma.f64 (PI.f64) 1/24 (*.f64 (PI.f64) 1/24)))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 -1/6 (/.f64 (*.f64 f (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3)))))))))) (PI.f64))))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (fma.f64 -1 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)) (*.f64 f (fma.f64 -1 (+.f64 (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) 1/24)) (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/24))) (*.f64 -1/6 (*.f64 f (/.f64 (fma.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)) 2)) (*.f64 (*.f64 6 (PI.f64)) (-.f64 (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/24)) (fma.f64 -1/960 (pow.f64 (PI.f64) 3) (fma.f64 1/384 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 1/4 (PI.f64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/96) (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) 1/24))))))) (fma.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 2) -1/96))) (fma.f64 -1/24 (*.f64 (*.f64 (PI.f64) -1/24) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) -1/640)))))) (PI.f64)))))))))
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(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/12))))
(*.f64 (PI.f64) -1/12)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/1728))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/12)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/12)))
(*.f64 (PI.f64) -1/12)
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/12)))
(*.f64 (PI.f64) -1/12)
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) -1/12)) 1))
(*.f64 (PI.f64) -1/12)

eval822.0ms (1.9%)

Compiler

Compiled 39054 to 29684 computations (24% saved)

prune158.0ms (0.4%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New65325678
Fresh415
Picked415
Done000
Total66127688
Accuracy
99.6%
Counts
688 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.3%
(/.f64 (*.f64 -4 (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 1/4 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))))))) (PI.f64))
▶96.3%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
96.1%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
✓99.0%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
▶99.0%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
96.0%
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
95.1%
(*.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (*.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
95.1%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
95.1%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
▶96.2%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
95.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
96.2%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
95.5%
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
▶94.6%
(*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
95.5%
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64)))
94.7%
(*.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64)))
95.6%
(*.f64 -4 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (PI.f64)))
96.0%
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
▶96.0%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
94.7%
(*.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
96.0%
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
96.0%
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
94.9%
(*.f64 -4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1))
95.9%
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
95.9%
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
94.9%
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
94.9%
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
Compiler

Compiled 1227 to 985 computations (19.7% saved)

localize5.2s (12%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
✓99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
✓99.2%
(cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
✓98.9%
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)
✓98.1%
(PI.f64)
99.0%
(*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))
98.5%
(*.f64 1/12 (PI.f64))
✓98.1%
(PI.f64)
97.6%
(+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))
99.0%
(*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))
98.5%
(*.f64 1/12 (PI.f64))
✓98.1%
(PI.f64)
97.6%
(+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))
✓99.7%
(/.f64 4 (*.f64 (PI.f64) f))
99.7%
(*.f64 (PI.f64) f)
✓99.4%
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
✓98.1%
(PI.f64)
✓99.6%
(log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
✓99.6%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
✓99.6%
(/.f64 (/.f64 (PI.f64) -4) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
✓98.1%
(PI.f64)
Compiler

Compiled 858 to 627 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.5s
Operation ival-mult, time spent: 1.8s, 40.0% of total-time
Operation composed, time spent: 634.0ms, 14.0% of total-time
Operation ival-log, time spent: 590.0ms, 13.0% of total-time
Operation ival-exp, time spent: 458.0ms, 10.0% of total-time
Operation ival-div, time spent: 376.0ms, 8.0% of total-time
Operation ival-add, time spent: 350.0ms, 8.0% of total-time
Operation ival-sub, time spent: 153.0ms, 3.0% of total-time
Operation const, time spent: 80.0ms, 2.0% of total-time
Operation ival-cbrt, time spent: 17.0ms, 0.0% of total-time
Operation ival-pow, time spent: 15.0ms, 0.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series1.3s (3%)

Counts
13 → 144
Calls
Call 1
Inputs
#<alt (PI.f64)>
#<alt (/.f64 (/.f64 (PI.f64) -4) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))>
#<alt (/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))>
#<alt (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))>
#<alt (PI.f64)>
#<alt (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))>
#<alt (/.f64 4 (*.f64 (PI.f64) f))>
#<alt (PI.f64)>
#<alt (PI.f64)>
#<alt (PI.f64)>
#<alt (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)>
#<alt (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))>
#<alt (/.f64 (/.f64 4 (PI.f64)) f)>
Outputs
#<alt (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))>
#<alt (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))))>
#<alt (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/16 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))))))>
#<alt (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))) (*.f64 f (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))) (*.f64 1/4 (*.f64 f (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2)) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3))) (*.f64 1/24 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3)))))))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2)))))))))))>
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(+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/1920 (*.f64 (pow.f64 (PI.f64) 4) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/46080 (pow.f64 (PI.f64) 5)) (*.f64 1/161280 (pow.f64 (PI.f64) 5))))))))))))))) (*.f64 1/120 (+.f64 (*.f64 -15/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 30 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))))))) (+.f64 (*.f64 1/192 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 (*.f64 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#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
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#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
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#<alt (log.f64 (-.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))>
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#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
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#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
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#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
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#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
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#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
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#<alt (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
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#<alt (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (cbrt.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
Calls

24 calls:

TimeVariablePointExpression
525.0ms
f
@-inf
(/ (log (/ 4 (* (PI) f))) (PI))
385.0ms
f
@0
(/ (log (/ 4 (* (PI) f))) (PI))
293.0ms
f
@inf
(/ (log (/ 4 (* (PI) f))) (PI))
12.0ms
f
@0
(/ (/ (PI) -4) (log (+ (/ -1 (- (exp (* (PI) (* f -1/2))) 1)) (/ 1 (- (exp (* (PI) (* f 1/2))) 1)))))
8.0ms
f
@0
(log (+ (/ -1 (- (exp (* (PI) (* f -1/2))) 1)) (/ 1 (- (exp (* (PI) (* f 1/2))) 1))))

rewrite254.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1870×prod-diff
404×associate-*r*
296×associate-*l*
260×frac-times
225×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037374
1580368
27688368
Stop Event
1×node limit
Counts
13 → 425
Calls
Call 1
Inputs
(PI.f64)
(/.f64 (/.f64 (PI.f64) -4) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(PI.f64)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(PI.f64)
(PI.f64)
(PI.f64)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)
(cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (PI.f64) 3)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (/.f64 1 (PI.f64)) 1/3))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (/.f64 1 (PI.f64))))
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(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/6) (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1/3))
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(/.f64 1 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
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(/.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (cbrt.f64 (PI.f64))))
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(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2)))
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(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
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(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
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(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
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(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
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(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))
(neg.f64 (/.f64 (/.f64 -4 (PI.f64)) f))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

simplify367.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1148×fma-define
926×distribute-lft-in
910×distribute-rgt-in
778×times-frac
622×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094736280
1251433506
Stop Event
1×node limit
Counts
569 → 432
Calls
Call 1
Inputs
(*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
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(*.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (neg.f64 (PI.f64))) 4)
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(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 2)
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(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 -1/4 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 1))
(exp.f64 (-.f64 (log.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (log.f64 (*.f64 (PI.f64) -1/4))))
(+.f64 0 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 1)
(-.f64 (log.f64 (+.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (log.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)))
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(-.f64 (log.f64 (+.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
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(pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(log1p.f64 (-.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
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(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2)) 1) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2)) (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/6)) (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/6))
(/.f64 -1 (neg.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 1 (/.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (log.f64 (*.f64 (PI.f64) (/.f64 f 4))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (*.f64 (PI.f64) (/.f64 f 4))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (/.f64 1 (PI.f64)) 1/3))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 1 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2))) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/6) (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1/3))
(/.f64 1 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 1 (/.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) (/.f64 f 4)))) (cbrt.f64 (neg.f64 (PI.f64))))
(/.f64 (neg.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(*.f64 -4 (/.f64 1 (*.f64 (PI.f64) (neg.f64 f))))
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 4 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (*.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(*.f64 (/.f64 1 (*.f64 (PI.f64) f)) 4)
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) 1) (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (pow.f64 f 2))) (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(pow.f64 (*.f64 (PI.f64) (/.f64 f 4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))
(neg.f64 (/.f64 (/.f64 -4 (PI.f64)) f))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
Outputs
(*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))))
(*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
(/.f64 (*.f64 -1/4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))))
(fma.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2))))
(fma.f64 -1/4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (*.f64 1/16 (*.f64 (pow.f64 (*.f64 (PI.f64) f) 2) (*.f64 (PI.f64) 1/12))) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))
(+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/16 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (*.f64 (pow.f64 f 2) (*.f64 1/16 (+.f64 (/.f64 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))) (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2)) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2))))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (cbrt.f64 (pow.f64 f 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (pow.f64 f 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) 1) (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) f))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (pow.f64 f 2))) (/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 f 2))) (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (cbrt.f64 (pow.f64 f 2)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (*.f64 (PI.f64) (/.f64 f 4)) -1)
(/.f64 1 (*.f64 (PI.f64) (/.f64 f 4)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (E.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(/.f64 4 (*.f64 (PI.f64) f))
(neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(neg.f64 (/.f64 (/.f64 -4 (PI.f64)) f))
(/.f64 4 (*.f64 (PI.f64) f))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(/.f64 4 (*.f64 (PI.f64) f))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(/.f64 4 (*.f64 (PI.f64) f))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 4 (*.f64 (PI.f64) f))

eval1.6s (3.8%)

Compiler

Compiled 56952 to 43377 computations (23.8% saved)

prune388.0ms (0.9%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1178151193
Fresh12921
Picked325
Done011
Total1193271220
Accuracy
99.6%
Counts
1220 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.3%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
▶96.1%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
✓99.0%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
96.3%
(/.f64 1 (fma.f64 (pow.f64 f 2) (fma.f64 f (fma.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (*.f64 1/4 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)))) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (*.f64 (*.f64 1/4 f) (fma.f64 1/24 (*.f64 (PI.f64) (/.f64 (fma.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (*.f64 (*.f64 6 (PI.f64)) (-.f64 (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/24)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/640) (*.f64 (*.f64 (PI.f64) 1/4) (fma.f64 (pow.f64 (PI.f64) 2) -1/96 (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))))))) (fma.f64 (*.f64 -1/4 (PI.f64)) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 2) -1/96)) (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 3) -1/640)))))) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (/.f64 (*.f64 -1/16 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3))))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))) (/.f64 (*.f64 -1/4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
94.0%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3)))
▶96.2%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (*.f64 1/4 (pow.f64 f 2)) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))) (log.f64 f)))))
17.9%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (+.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))) (log.f64 (cbrt.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
95.2%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
✓99.0%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
96.3%
(/.f64 1 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))) (*.f64 f (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))) (*.f64 1/4 (*.f64 f (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2)) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3))) (*.f64 1/24 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3)))))))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))))))))))))
95.1%
(/.f64 1 (*.f64 (PI.f64) (/.f64 -1/4 (log.f64 (*.f64 2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
95.2%
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
▶96.0%
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
95.1%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
96.2%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
95.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
94.4%
(*.f64 -4 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
96.0%
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
95.6%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓96.0%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
94.7%
(*.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
96.0%
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
96.0%
(*.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
▶95.9%
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
95.9%
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
94.9%
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
94.9%
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
Compiler

Compiled 1935 to 1547 computations (20.1% saved)

localize2.7s (6.2%)

Localize:

Found 18 expressions with local error:

NewAccuracyProgram
✓99.5%
(/.f64 (/.f64 (PI.f64) -4) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (*.f64 1/4 (pow.f64 f 2)) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))) (log.f64 f))))
✓98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))
✓98.4%
(*.f64 (PI.f64) 1/12)
96.9%
(log.f64 (/.f64 4 (PI.f64)))
✓99.7%
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
✓99.7%
(*.f64 (PI.f64) (*.f64 f 1/2))
✓99.4%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
✓99.4%
(/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)
99.6%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓99.3%
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
96.9%
(log.f64 (/.f64 4 (PI.f64)))
✓100.0%
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
✓99.3%
(*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓99.4%
(/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)
✓99.4%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
✓99.0%
(*.f64 f (*.f64 (PI.f64) -1/24))
✓98.4%
(*.f64 (PI.f64) -1/24)
Compiler

Compiled 586 to 423 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.9s
Operation ival-mult, time spent: 539.0ms, 29.0% of total-time
Operation ival-div, time spent: 363.0ms, 20.0% of total-time
Operation ival-log, time spent: 317.0ms, 17.0% of total-time
Operation ival-add, time spent: 239.0ms, 13.0% of total-time
Operation composed, time spent: 164.0ms, 9.0% of total-time
Operation ival-sub, time spent: 79.0ms, 4.0% of total-time
Operation ival-exp, time spent: 72.0ms, 4.0% of total-time
Operation const, time spent: 53.0ms, 3.0% of total-time
Operation ival-pow, time spent: 30.0ms, 2.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series86.0ms (0.2%)

Counts
15 → 211
Calls
Call 1
Inputs
#<alt (*.f64 (PI.f64) -1/24)>
#<alt (*.f64 f (*.f64 (PI.f64) -1/24))>
#<alt (/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))>
#<alt (/.f64 (/.f64 4 (PI.f64)) f)>
#<alt (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))>
#<alt (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))>
#<alt (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))>
#<alt (*.f64 (PI.f64) (*.f64 f 1/2))>
#<alt (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))>
#<alt (*.f64 (PI.f64) 1/12)>
#<alt (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))>
#<alt (/.f64 (/.f64 (PI.f64) -4) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (*.f64 1/4 (pow.f64 f 2)) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))) (log.f64 f))))>
Outputs
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
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#<alt (+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (*.f64 1/24 (PI.f64)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2))))))))>
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#<alt (/.f64 (-.f64 (+.f64 (*.f64 -27648 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) 2) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 576 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 1327104 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) 3) (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (*.f64 12 (/.f64 1 (PI.f64)))) (pow.f64 f 2))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 -63700992 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) 4) (*.f64 (pow.f64 f 8) (pow.f64 (PI.f64) 9)))) (+.f64 (*.f64 -27648 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) 2) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 576 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (*.f64 1327104 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) 3) (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))) (*.f64 12 (/.f64 1 (PI.f64)))) (pow.f64 f 2))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 -63700992 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) 4) (*.f64 (pow.f64 f 8) (pow.f64 (PI.f64) 9)))) (+.f64 (*.f64 -27648 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) 2) (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 576 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (+.f64 (*.f64 1327104 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) 3) (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (*.f64 3057647616 (/.f64 (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) 5) (*.f64 (pow.f64 f 10) (pow.f64 (PI.f64) 11)))))))) (*.f64 12 (/.f64 1 (PI.f64)))) (pow.f64 f 2))>
Calls

36 calls:

TimeVariablePointExpression
11.0ms
f
@0
(/ (* -4 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f)))) (PI))
7.0ms
f
@0
(/ (* -4 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ (+ (* f (+ 1/2 (* -1 (* f (* (PI) -1/24))))) (* 2 (/ 1 (PI)))) f)))) (PI))
7.0ms
f
@0
(/ (/ (PI) -4) (+ (log (/ 4 (PI))) (- (* (* 1/4 (pow f 2)) (* (PI) (* (PI) 1/12))) (log f))))
7.0ms
f
@-inf
(/ (* -4 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ (+ (* f (+ 1/2 (* -1 (* f (* (PI) -1/24))))) (* 2 (/ 1 (PI)))) f)))) (PI))
5.0ms
f
@inf
(/ (* -4 (log (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ (+ (* f (+ 1/2 (* -1 (* f (* (PI) -1/24))))) (* 2 (/ 1 (PI)))) f)))) (PI))

rewrite162.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
468×log1p-expm1-u
467×expm1-log1p-u
462×add-exp-log
457×add-log-exp
443×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058560
11041552
Stop Event
1×node limit
Counts
15 → 266
Calls
Call 1
Inputs
(*.f64 (PI.f64) -1/24)
(*.f64 f (*.f64 (PI.f64) -1/24))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/2))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 (PI.f64) 1/12)
(*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))
(/.f64 (/.f64 (PI.f64) -4) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (*.f64 1/4 (pow.f64 f 2)) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))) (log.f64 f))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/24))) 1)
(pow.f64 (*.f64 (PI.f64) -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/24))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/24)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/24)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) -1/24)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) -1/24) f))) 1)
(pow.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) -1/24) f)) 3)
(pow.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) -1/24) f)) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) -1/24) f))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) -1/24) 3)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (PI.f64) -1/24) f)))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) -1/24) f)))
(exp.f64 (log.f64 (*.f64 (*.f64 (PI.f64) -1/24) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) -1/24) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64))))) 1)
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))
(*.f64 1 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64))))
(*.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))) 2) (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))) (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))))
(pow.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))))) -1)
(log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)) -4) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))) 1)
(*.f64 1 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))
(*.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)) 2) (cbrt.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)) (sqrt.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)))
(pow.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)) 2)
(pow.f64 (/.f64 f (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64)))) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)))
(exp.f64 (log.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 f (fma.f64 (*.f64 (*.f64 (PI.f64) -1/24) f) -1 1/2) (/.f64 2 (PI.f64))) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1)
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2)
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (PI.f64) 3)))
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(pow.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)) 1) -1)
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) 2)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 1/12) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4)))) 1)
(*.f64 1 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4)))
(*.f64 (*.f64 (PI.f64) -1/4) (/.f64 1 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4)) 2)) (cbrt.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))) (sqrt.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))) 2)
(pow.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) (*.f64 (PI.f64) -1/4)) -1)
(log.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4)))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) -1/4) 3) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))) 1))

simplify272.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1810×fma-define
1060×distribute-lft-in
1052×distribute-rgt-in
634×*-commutative
600×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0129332897
1343132133
Stop Event
1×node limit
Counts
477 → 558
Calls
Call 1
Inputs
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/24 (PI.f64)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (*.f64 1/24 (PI.f64)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2))))))))
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(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) -1/4) 3) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))) 1))
Outputs
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -1/24 (*.f64 f (PI.f64)))
(*.f64 (*.f64 -1/24 f) (PI.f64))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/24 (PI.f64)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (neg.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 -1/24 (PI.f64))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (*.f64 (PI.f64) 1/12) (neg.f64 (pow.f64 f 2))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (*.f64 1/24 (PI.f64)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2))))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (fma.f64 -1 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 -1/24 (PI.f64))) (*.f64 f (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 -1/24 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) -1/96))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 f (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 -1/24 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) -1/96))) (*.f64 (PI.f64) 1/12))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (*.f64 1/24 (PI.f64)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/6 (/.f64 (*.f64 f (+.f64 (*.f64 -6 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3))))))) (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (*.f64 1/24 (PI.f64)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))))) (PI.f64))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (fma.f64 -1 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 -1/24 (PI.f64))) (*.f64 f (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 -1/24 (PI.f64))) (fma.f64 -1/6 (*.f64 f (/.f64 (fma.f64 -6 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 -1/24 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) -1/96))) (fma.f64 -1/24 (*.f64 (*.f64 -1/24 (PI.f64)) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) -1/640)))) (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 -1/24 (PI.f64))) 2)))) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) -1/96)))))))
(fma.f64 (pow.f64 f 2) (fma.f64 f (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 -1/24 (PI.f64))) (fma.f64 -1/6 (*.f64 f (/.f64 (fma.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 1/144)) (*.f64 (*.f64 -6 (PI.f64)) (fma.f64 (*.f64 (PI.f64) -1/4) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 -1/24 (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) -1/96)) (fma.f64 (pow.f64 (PI.f64) 3) -1/640 (*.f64 (*.f64 -1/24 (pow.f64 (PI.f64) 2)) (*.f64 -1/24 (PI.f64))))))) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 2) -1/96))) (neg.f64 (*.f64 (PI.f64) 1/12))) (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (*.f64 1/24 (PI.f64)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 f (+.f64 (*.f64 -1/6 (/.f64 (+.f64 (*.f64 -6 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3))))))) (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (*.f64 1/24 (PI.f64)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2)))) (PI.f64))) (*.f64 -1/30 (/.f64 (*.f64 f (+.f64 (*.f64 -30 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3))))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/192 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/3840 (pow.f64 (PI.f64) 4)) (*.f64 1/11520 (pow.f64 (PI.f64) 4)))))))) (*.f64 15/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))) (-.f64 (*.f64 1/24 (PI.f64)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))) (PI.f64))))))))))))
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(/.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f)))) (*.f64 (PI.f64) -1/4)))
(log.f64 (exp.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(/.f64 (PI.f64) (*.f64 -4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4)))))
(/.f64 (PI.f64) (*.f64 -4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4)) 3))
(/.f64 (PI.f64) (*.f64 -4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) -1/4) 3) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) 3)))
(cbrt.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/64) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (*.f64 -4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))))
(expm1.f64 (log1p.f64 (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(/.f64 (PI.f64) (*.f64 -4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))))
(/.f64 (PI.f64) (*.f64 -4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) (*.f64 1/4 (pow.f64 f 2)) (neg.f64 (log.f64 f)))) -4))) 1))
(/.f64 (PI.f64) (*.f64 -4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))
(*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (fma.f64 (*.f64 1/12 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 f 2) 1/4) (neg.f64 (log.f64 f))))))

eval759.0ms (1.8%)

Compiler

Compiled 31704 to 24020 computations (24.2% saved)

prune204.0ms (0.5%)

Pruning

32 alts after pruning (27 fresh and 5 done)

PrunedKeptTotal
New74310753
Fresh21719
Picked325
Done033
Total74832780
Accuracy
99.6%
Counts
780 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.3%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
96.1%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
96.3%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 1/24 (*.f64 f (PI.f64))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
✓99.0%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
96.1%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64)))))) (PI.f64))
50.8%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (-.f64 (*.f64 -1/24 (PI.f64)) (/.f64 (+.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64))) f)) (neg.f64 f))))) (PI.f64))
96.3%
(/.f64 1 (fma.f64 (pow.f64 f 2) (fma.f64 f (fma.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (*.f64 1/4 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)))) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (*.f64 (*.f64 1/4 f) (fma.f64 1/24 (*.f64 (PI.f64) (/.f64 (fma.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (*.f64 (*.f64 6 (PI.f64)) (-.f64 (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/24)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/640) (*.f64 (*.f64 (PI.f64) 1/4) (fma.f64 (pow.f64 (PI.f64) 2) -1/96 (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))))))) (fma.f64 (*.f64 -1/4 (PI.f64)) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 2) -1/96)) (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 3) -1/640)))))) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (/.f64 (*.f64 -1/16 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3))))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))) (/.f64 (*.f64 -1/4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
94.0%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3)))
✓96.2%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (*.f64 1/4 (pow.f64 f 2)) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))) (log.f64 f)))))
17.9%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (+.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))) (log.f64 (cbrt.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
95.2%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
✓99.0%
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
4.1%
(/.f64 1 (/.f64 (/.f64 -12 (pow.f64 f 2)) (PI.f64)))
4.1%
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
96.3%
(/.f64 1 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))) (*.f64 f (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))) (*.f64 1/4 (*.f64 f (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2)) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3))) (*.f64 1/24 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3)))))))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))))))))))))
95.1%
(/.f64 1 (*.f64 (PI.f64) (/.f64 -1/4 (log.f64 (*.f64 2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
95.9%
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
95.2%
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
✓96.0%
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
95.1%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
95.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
94.7%
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
94.4%
(*.f64 -4 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
96.0%
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
95.6%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓96.0%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
96.0%
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
96.0%
(*.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
95.9%
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
94.9%
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
94.9%
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
74.7%
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
Compiler

Compiled 2945 to 2261 computations (23.2% saved)

regimes103.0ms (0.2%)

Counts
62 → 1
Calls
Call 1
Inputs
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
(/.f64 1 (/.f64 (/.f64 -12 (pow.f64 f 2)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(/.f64 1 (*.f64 (PI.f64) (/.f64 -1/4 (log.f64 (*.f64 2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64)))))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (-.f64 (*.f64 -1/24 (PI.f64)) (/.f64 (+.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64))) f)) (neg.f64 f))))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 1/24 (*.f64 f (PI.f64))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64)))
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64)))
(*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(*.f64 -4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1))
(*.f64 -4 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))
(*.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (*.f64 (PI.f64) -1/24) -1/2) (/.f64 2 (PI.f64))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 (*.f64 1/4 (pow.f64 f 2)) (*.f64 (PI.f64) (*.f64 (PI.f64) 1/12))) (log.f64 f)))))
(/.f64 (*.f64 -4 (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 1/4 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))))))) (PI.f64))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
(*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (*.f64 -1 (log.f64 f)) (*.f64 1/4 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (+.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))) (log.f64 (cbrt.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (fma.f64 f (+.f64 1/2 (*.f64 f (-.f64 (neg.f64 (*.f64 f (fma.f64 -1/96 (pow.f64 (PI.f64) 2) (fma.f64 1/48 (pow.f64 (PI.f64) 2) (*.f64 (*.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/24)))))) (*.f64 (PI.f64) -1/24)))) (/.f64 2 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (PI.f64)))
(/.f64 1 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))) (*.f64 f (+.f64 (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))) (*.f64 1/4 (*.f64 f (+.f64 (*.f64 -1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2)) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 3))) (*.f64 1/24 (/.f64 (*.f64 (PI.f64) (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3)))))))))) (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) 2))))))))))))
(/.f64 1 (fma.f64 (pow.f64 f 2) (fma.f64 f (fma.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) (/.f64 (*.f64 1/4 (+.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)))) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (*.f64 (*.f64 1/4 f) (fma.f64 1/24 (*.f64 (PI.f64) (/.f64 (fma.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (*.f64 (*.f64 6 (PI.f64)) (-.f64 (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/24)) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/640) (*.f64 (*.f64 (PI.f64) 1/4) (fma.f64 (pow.f64 (PI.f64) 2) -1/96 (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))))))) (fma.f64 (*.f64 -1/4 (PI.f64)) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 2) -1/96)) (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 3) -1/640)))))) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2))) (/.f64 (*.f64 -1/16 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (*.f64 (PI.f64) 1/12) 2))) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 3))))) (*.f64 1/16 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/12)) (pow.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 2)))) (/.f64 (*.f64 -1/4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
Outputs
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
Calls

6 calls:

34.0ms
f
32.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
8.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
8.0ms
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
7.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
Results
AccuracySegmentsBranch
99.0%1f
99.0%1(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
99.0%1(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
99.0%1(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
99.0%1(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))
99.0%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes28.0ms (0.1%)

Counts
46 → 1
Calls
Call 1
Inputs
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
(/.f64 1 (/.f64 (/.f64 -12 (pow.f64 f 2)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(/.f64 1 (*.f64 (PI.f64) (/.f64 -1/4 (log.f64 (*.f64 2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64)))))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (-.f64 (*.f64 -1/24 (PI.f64)) (/.f64 (+.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64))) f)) (neg.f64 f))))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 1/24 (*.f64 f (PI.f64))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64)))
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64)))
(*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(*.f64 -4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1))
(*.f64 -4 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
Outputs
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
Calls

1 calls:

22.0ms
f
Results
AccuracySegmentsBranch
98.9%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes27.0ms (0.1%)

Counts
45 → 1
Calls
Call 1
Inputs
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
(/.f64 1 (/.f64 (/.f64 -12 (pow.f64 f 2)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(/.f64 1 (*.f64 (PI.f64) (/.f64 -1/4 (log.f64 (*.f64 2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64)))))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (-.f64 (*.f64 -1/24 (PI.f64)) (/.f64 (+.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64))) f)) (neg.f64 f))))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 1/24 (*.f64 f (PI.f64))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64)))
(*.f64 -4 (/.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (PI.f64)))
(*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(*.f64 -4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1))
(*.f64 -4 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
Outputs
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 1/24 (*.f64 f (PI.f64))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
Calls

1 calls:

22.0ms
f
Results
AccuracySegmentsBranch
96.3%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0%)

Counts
29 → 1
Calls
Call 1
Inputs
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
(/.f64 1 (/.f64 (/.f64 -12 (pow.f64 f 2)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 1 (/.f64 (/.f64 (PI.f64) -4) (log.f64 (/.f64 -2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(/.f64 1 (*.f64 (PI.f64) (/.f64 -1/4 (log.f64 (*.f64 2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64)))))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (*.f64 (-.f64 (*.f64 -1/24 (PI.f64)) (/.f64 (+.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64))) f)) (neg.f64 f))))) (PI.f64))
Outputs
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
Calls

1 calls:

15.0ms
f
Results
AccuracySegmentsBranch
96.3%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0%)

Counts
13 → 1
Calls
Call 1
Inputs
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
(/.f64 1 (/.f64 (/.f64 -12 (pow.f64 f 2)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
Outputs
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
Calls

1 calls:

8.0ms
f
Results
AccuracySegmentsBranch
96.2%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes9.0ms (0%)

Counts
12 → 1
Calls
Call 1
Inputs
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
(/.f64 1 (/.f64 (/.f64 -12 (pow.f64 f 2)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
Outputs
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
Calls

1 calls:

8.0ms
f
Results
AccuracySegmentsBranch
96.1%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts
10 → 1
Calls
Call 1
Inputs
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
(/.f64 1 (/.f64 (/.f64 -12 (pow.f64 f 2)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(*.f64 -4 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
Calls

1 calls:

6.0ms
f
Results
AccuracySegmentsBranch
96.0%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
(/.f64 1 (/.f64 (/.f64 -12 (pow.f64 f 2)) (PI.f64)))
Outputs
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
4.1%1f
Compiler

Compiled 2 to 1 computations (50% saved)

simplify25.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
78×*-commutative
56×+-commutative
30×sub-neg
30×neg-sub0
26×neg-mul-1
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090803
1138791
2157791
3186783
4225783
5243783
6252783
7254783
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 1/24 (*.f64 f (PI.f64))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
Outputs
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 1/2 (*.f64 (PI.f64) f)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 1/24 (*.f64 f (PI.f64))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 (*.f64 (PI.f64) f) 1/24))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (-.f64 (neg.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)))) 1/2))) f) (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (+.f64 1/2 (neg.f64 (*.f64 f (*.f64 (PI.f64) -1/24)))))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (-.f64 (*.f64 (+.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)) (neg.f64 f)) 1/2))) f) (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (-.f64 1/2 (*.f64 f (*.f64 (PI.f64) -1/24))))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (+.f64 1/2 (*.f64 f (+.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)))))) f) (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (-.f64 1/2 (*.f64 f (*.f64 (PI.f64) -1/24))))) f)))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (-.f64 (neg.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)))) 1/2))) f) (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (+.f64 1/2 (neg.f64 (*.f64 f (*.f64 (PI.f64) -1/24)))))) f))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (-.f64 (*.f64 (+.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)) (neg.f64 f)) 1/2))) f) (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (-.f64 1/2 (*.f64 f (*.f64 (PI.f64) -1/24))))) f))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (+.f64 1/2 (*.f64 f (+.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)))))) f) (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (-.f64 1/2 (*.f64 f (*.f64 (PI.f64) -1/24))))) f))))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (+.f64 1/2 (neg.f64 (*.f64 f (*.f64 (PI.f64) -1/24)))))) f) (/.f64 (+.f64 (*.f64 f -1/2) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 2 (/.f64 1 (PI.f64))) (*.f64 f (-.f64 1/2 (*.f64 f (*.f64 (PI.f64) -1/24))))) f) (/.f64 (+.f64 (*.f64 f -1/2) (*.f64 2 (/.f64 1 (PI.f64)))) f)))) (PI.f64))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(/.f64 1 (/.f64 -12 (*.f64 (pow.f64 f 2) (PI.f64))))
(/.f64 1 (/.f64 -12 (*.f64 (PI.f64) (pow.f64 f 2))))
Compiler

Compiled 224 to 176 computations (21.4% saved)

soundness1.7s (3.9%)

Rules
3700×fma-define
1678×fma-neg
1630×distribute-lft-in
1608×distribute-rgt-in
1266×times-frac
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
062553
11119551
094736280
1251433506
0146738633
1411338043
033584
192484
2250484
3630484
41254484
51914484
62508484
72719484
83048484
93270484
103714364
114435316
124891316
135709316
146279316
156349316
166493316
176645316
186661316
196949316
053915299
1161013296
2710013160
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 710 to 549 computations (22.7% saved)

end0.0ms (0%)

preprocess143.0ms (0.3%)

Compiler

Compiled 510 to 380 computations (25.5% saved)

Profiling

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