VandenBroeck and Keller, Equation (20)

Time bar (total: 29.3s)

analyze441.0ms (1.5%)

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: 289.0ms
Operation ival-div, time spent: 83.0ms, 29.0% of total-time
Operation ival-mult, time spent: 68.0ms, 24.0% of total-time
Operation ival-exp, time spent: 51.0ms, 18.0% of total-time
Operation ival-pi, time spent: 28.0ms, 10.0% of total-time
Operation ival-neg, time spent: 22.0ms, 8.0% of total-time
Operation ival-log, time spent: 11.0ms, 4.0% 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

sample12.3s (41.8%)

Results
3.5s3960×1024valid
3.0s3776×1024invalid
1.3s2110×512invalid
1.5s2064×512valid
707.0ms1883×256valid
232.0ms996×256invalid
586.0ms348×2048valid
1.0ms7×256unsamplable
1.0ms1×1024valid
Precisions
Click to see histograms. Total time spent on operations: 8.3s
Operation ival-div, time spent: 2.5s, 30.0% of total-time
Operation ival-exp, time spent: 2.0s, 24.0% of total-time
Operation ival-mult, time spent: 1.8s, 21.0% of total-time
Operation ival-log, time spent: 653.0ms, 8.0% of total-time
Operation ival-neg, time spent: 537.0ms, 6.0% of total-time
Operation ival-add, time spent: 269.0ms, 3.0% of total-time
Operation ival-pi, time spent: 236.0ms, 3.0% of total-time
Operation ival-sub, time spent: 229.0ms, 3.0% of total-time
Operation const, time spent: 153.0ms, 2.0% of total-time
Bogosity

preprocess2.2s (7.4%)

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
2462(0.0023219614730583113)0-(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
40-0-(/.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)))))
10-1(101.80369276983424)(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
10-1(101.80369276983424)(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: 1.1s
Operation ival-div, time spent: 315.0ms, 28.0% of total-time
Operation ival-exp, time spent: 314.0ms, 28.0% of total-time
Operation ival-mult, time spent: 242.0ms, 22.0% of total-time
Operation ival-log, time spent: 70.0ms, 6.0% of total-time
Operation ival-neg, time spent: 69.0ms, 6.0% of total-time
Operation ival-add, time spent: 45.0ms, 4.0% of total-time
Operation ival-sub, time spent: 32.0ms, 3.0% of total-time
Operation const, time spent: 22.0ms, 2.0% of total-time
Operation ival-pi, time spent: 13.0ms, 1.0% of total-time

eval4.0ms (0%)

Compiler

Compiled 236 to 174 computations (26.3% saved)

prune3.0ms (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)))
▶8.7%
(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))))))))
Compiler

Compiled 61 to 49 computations (19.7% saved)

localize1.3s (4.3%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓99.6%
(/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))
✓99.6%
(*.f64 (*.f64 -1/2 f) (PI.f64))
✓99.6%
(*.f64 (PI.f64) f)
✓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)))
✓99.6%
(*.f64 (/.f64 (PI.f64) 4) f)
✓99.3%
(*.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)))))))
✓98.1%
(/.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)))))
✓12.2%
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
Compiler

Compiled 309 to 219 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 995.0ms
Operation ival-exp, time spent: 231.0ms, 23.0% of total-time
Operation ival-mult, time spent: 216.0ms, 22.0% of total-time
Operation ival-div, time spent: 188.0ms, 19.0% of total-time
Operation composed, time spent: 142.0ms, 14.0% of total-time
Operation ival-sub, time spent: 64.0ms, 6.0% of total-time
Operation ival-log, time spent: 63.0ms, 6.0% of total-time
Operation ival-neg, time spent: 35.0ms, 4.0% of total-time
Operation ival-add, time spent: 31.0ms, 3.0% of total-time
Operation const, time spent: 23.0ms, 2.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series187.0ms (0.6%)

Counts
8 → 96
Calls
Call 1
Inputs
#<alt (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))>
#<alt (/.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)))))>
#<alt (*.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)))))))>
#<alt (*.f64 (/.f64 (PI.f64) 4) f)>
#<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 (*.f64 (PI.f64) f)>
#<alt (*.f64 (*.f64 -1/2 f) (PI.f64))>
#<alt (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))>
Outputs
#<alt (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))>
#<alt (*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))>
#<alt (*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))>
#<alt (*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7))))) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))>
#<alt (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 f (+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (PI.f64))))))>
#<alt (+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 f (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 2/3 (/.f64 (*.f64 f (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))))>
#<alt (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<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 -4 (/.f64 (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)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (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)))) (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 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1/2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.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)>
#<alt (/.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)>
#<alt (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))>
Calls

24 calls:

TimeVariablePointExpression
53.0ms
f
@-inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
49.0ms
f
@inf
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
37.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
25.0ms
f
@inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
5.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))

rewrite178.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
510×associate-*r*
350×associate-*l*
257×add-exp-log
257×log1p-expm1-u
255×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036224
1579224
Stop Event
1×node limit
Counts
8 → 136
Calls
Call 1
Inputs
(-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))
(/.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 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 (PI.f64) 4) f)
(*.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 (PI.f64) f)
(*.f64 (*.f64 -1/2 f) (PI.f64))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))
Outputs
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

simplify103.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1166×associate-+l+
1040×associate-+r+
756×times-frac
574×fma-define
444×distribute-lft-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02766093
18465617
234535317
Stop Event
1×node limit
Counts
232 → 102
Calls
Call 1
Inputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/82575360 (pow.f64 (PI.f64) 7)) (*.f64 -1/82575360 (pow.f64 (PI.f64) 7))))) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 2 (*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)
(/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)
(/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (+.f64 (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (+.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 f (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 f (+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (PI.f64))))))
(+.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 f (+.f64 (*.f64 2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 2/3 (/.f64 (*.f64 f (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.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 (*.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))))))))
(+.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))))))))
(*.f64 -4 (/.f64 (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)))) (PI.f64)))
(*.f64 -4 (/.f64 (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)))) (PI.f64)))
(*.f64 -4 (/.f64 (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)))) (PI.f64)))
(*.f64 -4 (/.f64 (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)))) (PI.f64)))
(*.f64 -4 (/.f64 (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)))) (PI.f64)))
(*.f64 -4 (/.f64 (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)))) (PI.f64)))
(*.f64 -4 (/.f64 (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)))) (PI.f64)))
(*.f64 -4 (/.f64 (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)))) (PI.f64)))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(/.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 (*.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 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))
(/.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))
(/.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))
(/.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))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
Outputs
(*.f64 f (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(*.f64 f (-.f64 (+.f64 (*.f64 1/4 (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))) (*.f64 -1/4 (PI.f64))))
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(*.f64 f (*.f64 (PI.f64) -1/2))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f (PI.f64)) -1/2)
(*.f64 f (*.f64 -1/2 (PI.f64)))
(*.f64 f (*.f64 (PI.f64) -1/2))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f (PI.f64)) -1/2)
(*.f64 f (*.f64 -1/2 (PI.f64)))
(*.f64 f (*.f64 (PI.f64) -1/2))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f (PI.f64)) -1/2)
(*.f64 f (*.f64 -1/2 (PI.f64)))
(*.f64 f (*.f64 (PI.f64) -1/2))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f (PI.f64)) -1/2)
(*.f64 f (*.f64 -1/2 (PI.f64)))
(*.f64 f (*.f64 (PI.f64) -1/2))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f (PI.f64)) -1/2)
(*.f64 f (*.f64 -1/2 (PI.f64)))
(*.f64 f (*.f64 (PI.f64) -1/2))
(*.f64 -1/2 (*.f64 f (PI.f64)))
(*.f64 (*.f64 f (PI.f64)) -1/2)
(*.f64 f (*.f64 -1/2 (PI.f64)))
(*.f64 f (*.f64 (PI.f64) -1/2))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (fma.f64 -1/2 f (/.f64 2 (PI.f64))) f)
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(/.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 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)
(/.f64 (fma.f64 f (+.f64 -1/2 (*.f64 f (*.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f)
(/.f64 (fma.f64 f (fma.f64 f (*.f64 (PI.f64) 1/24) -1/2) (/.f64 2 (PI.f64))) f)
(/.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 (fma.f64 f (fma.f64 f (-.f64 (neg.f64 (*.f64 f (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 2) -1/96)))) (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)
(/.f64 (fma.f64 f (fma.f64 f (fma.f64 (neg.f64 f) (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 2) -1/24) (*.f64 (pow.f64 (PI.f64) 2) -1/96)) (*.f64 (PI.f64) 1/24)) -1/2) (/.f64 2 (PI.f64))) f)
(/.f64 (fma.f64 f (fma.f64 f (fma.f64 f (neg.f64 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 2) -1/24) (*.f64 (pow.f64 (PI.f64) 2) -1/96))) (*.f64 (PI.f64) 1/24)) -1/2) (/.f64 2 (PI.f64))) f)
(/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 f (PI.f64)) 1/2)))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval94.0ms (0.3%)

Compiler

Compiled 4546 to 3425 computations (24.7% saved)

prune33.0ms (0.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9810108
Fresh000
Picked202
Done000
Total10010110
Accuracy
99.3%
Counts
110 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))))) (PI.f64))
96.8%
(-.f64 (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
▶96.7%
(*.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 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
95.8%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
▶94.5%
(*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
96.0%
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
8.7%
(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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))))))))
97.0%
(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 f (+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (pow.f64 (PI.f64) 3) 1/192))) (*.f64 (PI.f64) 1/2)))))))
▶95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
▶8.7%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
Compiler

Compiled 554 to 436 computations (21.3% saved)

localize3.8s (13.1%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
✓99.6%
(*.f64 f (PI.f64))
✓99.5%
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
✓98.1%
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
✓12.2%
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
✓99.3%
(*.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 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓98.9%
(*.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)))
99.6%
(*.f64 (*.f64 -1/2 f) (PI.f64))
✓99.6%
(*.f64 f (PI.f64))
✓99.5%
(log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64))))))
✓99.3%
(*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
✓100.0%
(log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))
✓99.6%
(/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))
✓99.6%
(*.f64 f (*.f64 (PI.f64) 1/2))
✓99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
✓99.6%
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
✓99.6%
(*.f64 f (*.f64 (PI.f64) 1/2))
✓99.6%
(*.f64 f (*.f64 (PI.f64) -1/2))
✓99.5%
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))))) (PI.f64))
Compiler

Compiled 752 to 515 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.2s
Operation ival-mult, time spent: 1.1s, 33.0% of total-time
Operation ival-div, time spent: 375.0ms, 12.0% of total-time
Operation composed, time spent: 361.0ms, 11.0% of total-time
Operation ival-exp, time spent: 358.0ms, 11.0% of total-time
Operation ival-sub, time spent: 278.0ms, 9.0% of total-time
Operation ival-log, time spent: 251.0ms, 8.0% of total-time
Operation ival-neg, time spent: 247.0ms, 8.0% of total-time
Operation ival-add, time spent: 215.0ms, 7.0% of total-time
Operation const, time spent: 62.0ms, 2.0% of total-time
Operation ival-pi, time spent: 9.0ms, 0.0% of total-time

series87.0ms (0.3%)

Counts
19 → 144
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))))) (PI.f64))>
#<alt (*.f64 f (*.f64 (PI.f64) -1/2))>
#<alt (*.f64 f (*.f64 (PI.f64) 1/2))>
#<alt (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))>
#<alt (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))>
#<alt (*.f64 f (*.f64 (PI.f64) 1/2))>
#<alt (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))>
#<alt (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))>
#<alt (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64))))))>
#<alt (*.f64 f (PI.f64))>
#<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 (+.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 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))>
#<alt (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))>
#<alt (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))>
#<alt (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))>
#<alt (*.f64 f (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)))))))>
#<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))))))))>
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#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))>
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#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 f (+.f64 (*.f64 1/2 (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 1/6 (/.f64 (*.f64 f (+.f64 (*.f64 -3/2 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 3))) (*.f64 3 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (*.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (/.f64 (*.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))) (*.f64 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 2 (/.f64 (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))) (/.f64 (log.f64 (/.f64 2 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))>
Calls

51 calls:

TimeVariablePointExpression
18.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
18.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
7.0ms
f
@inf
(* (log (+ (/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
7.0ms
f
@inf
(* (/ 1 (/ (PI) 4)) (log (/ 2 (* f (* (PI) 1/2)))))
3.0ms
f
@-inf
(* (log (+ (/ (+ (* f (- (* -1 (* f (+ (* -1/8 (PI)) (* 1/12 (PI))))) 1/2)) (* 2 (/ 1 (PI)))) f) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))

rewrite170.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
567×log1p-expm1-u
564×expm1-log1p-u
562×add-exp-log
557×add-log-exp
540×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
067748
11232638
Stop Event
1×node limit
Counts
19 → 319
Calls
Call 1
Inputs
(/.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))))) (PI.f64))
(*.f64 f (*.f64 (PI.f64) -1/2))
(*.f64 f (*.f64 (PI.f64) 1/2))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))
(log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64))))))
(*.f64 f (PI.f64))
(+.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 (+.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 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))
(*.f64 f (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64))))) 1)
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))
(*.f64 1 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64))))
(*.f64 (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))) 2) (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))) (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))))
(pow.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (*.f64 -4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))))) -1)
(log.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))) -4) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))))
(log1p.f64 (expm1.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))) (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) 1)
(pow.f64 (*.f64 f (*.f64 (PI.f64) -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) -1/2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/2) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) -1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2) (cbrt.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) -1))
(pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1) -1)
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))) 1)
(/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2)
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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))
(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)
(pow.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) 1/3)
(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)))
(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))
(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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(+.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) 2) (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) 2) (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))))
(*.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 2) (exp.f64 (+.f64 (*.f64 (*.f64 1/4 f) (PI.f64)) (*.f64 -1/4 (*.f64 f (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 2)) (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 1))
(fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) 2) (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) 1)
(*.f64 1 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2) (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(pow.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -1)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))) 1)
(*.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) -1)
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1)
(pow.f64 (*.f64 f (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1))

simplify221.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1312×associate-*r*
1214×fma-define
746×distribute-lft-in
740×distribute-rgt-in
514×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0114023176
1291121815
Stop Event
1×node limit
Counts
463 → 562
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log.f64 (exp.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(+.f64 0 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (log.f64 (sqrt.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(-.f64 0 (log.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
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(pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2)))
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(log1p.f64 (-.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
(pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.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 2 (*.f64 f (PI.f64))) (/.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 2 (*.f64 f (PI.f64))) (/.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 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
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(+.f64 0 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
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(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 1)
(-.f64 (log.f64 (fma.f64 2 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) (*.f64 (*.f64 f (PI.f64)) -1))) (log.f64 (*.f64 (*.f64 f (PI.f64)) (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (/.f64 2 (*.f64 f (PI.f64))) 3) (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 3))) (log.f64 (+.f64 (pow.f64 (/.f64 2 (*.f64 f (PI.f64))) 2) (-.f64 (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2) (*.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 2 (*.f64 f (PI.f64))) 2) (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2))) (log.f64 (-.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(*.f64 1 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
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(pow.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
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(pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 2)
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(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1)
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(pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
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(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
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(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))
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(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) 1/12))) 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))
(+.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)
(pow.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) -1/24))) 3)
(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))
(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)
(pow.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) 1/3)
(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)))
(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))
(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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(+.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) 2) (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) 2) (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))))
(*.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 2) (exp.f64 (+.f64 (*.f64 (*.f64 1/4 f) (PI.f64)) (*.f64 -1/4 (*.f64 f (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 2)) (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 1))
(fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) 2) (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) 1)
(*.f64 1 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2) (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(pow.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -1)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))) 1)
(*.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) -1)
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1)
(pow.f64 (*.f64 f (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 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) (*.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 (PI.f64) -1/4) (*.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 1/4 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) (*.f64 (pow.f64 (PI.f64) 2) -1/24))) (*.f64 (PI.f64) 1/12)))))
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(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) 1/24)) -1/2) (/.f64 2 (PI.f64))) f))))
(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))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f))))))
(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 (+.f64 (*.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))
(log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -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))
(log1p.f64 (+.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f (+.f64 (*.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))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f (+.f64 (*.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 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2)))) (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) 1/24)) -1/2) (/.f64 2 (PI.f64))) f))))
(+.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(+.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(fma.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(fma.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (*.f64 0 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (*.f64 0 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) 2) (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 1 (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (*.f64 0 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) 2) (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 2))))
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(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (*.f64 0 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
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(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (+.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(+.f64 (*.f64 0 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) (-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(*.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2) (cbrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))) 2) (exp.f64 (+.f64 (*.f64 (*.f64 1/4 f) (PI.f64)) (*.f64 -1/4 (*.f64 f (PI.f64))))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2) (exp.f64 (fma.f64 (*.f64 f 1/4) (PI.f64) (*.f64 -1/4 (*.f64 (PI.f64) f)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 3)) (+.f64 (+.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (*.f64 (PI.f64) f))) (exp.f64 (*.f64 (*.f64 (PI.f64) f) 0))) (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.f64 (PI.f64) f)))))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 2)) (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))
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(pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 1)
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(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (sqrt.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
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(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(expm1.f64 (log1p.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(log1p.f64 (expm1.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 1))
(*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(*.f64 2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(fma.f64 1 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) 2) (cbrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 1 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (*.f64 2 (cosh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (/.f64 1 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1/2 (sinh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(*.f64 2 (*.f64 (cosh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)) (/.f64 1/2 (sinh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2) (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 1)
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 3)
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3)
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))) -1)
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))))))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) 1))
(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 1 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))) 1)
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(+.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))) -1)
(*.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(*.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (/.f64 1 (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 3)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 3) 1/3)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 2)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))))) -1)
(/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))
(/.f64 1 (/.f64 (neg.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) (/.f64 1 (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)) 3))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(+.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))) -1)
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 1))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (neg.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (PI.f64)))) 1)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(pow.f64 (*.f64 f (PI.f64)) 1)
(*.f64 (PI.f64) f)
(pow.f64 (cbrt.f64 (*.f64 f (PI.f64))) 3)
(*.f64 (PI.f64) f)
(pow.f64 (pow.f64 (*.f64 f (PI.f64)) 3) 1/3)
(*.f64 (PI.f64) f)
(pow.f64 (sqrt.f64 (*.f64 f (PI.f64))) 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 f (PI.f64)))))
(*.f64 (PI.f64) f)
(cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 3))
(*.f64 (PI.f64) f)
(expm1.f64 (log1p.f64 (*.f64 f (PI.f64))))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 f (PI.f64))))
(*.f64 (PI.f64) f)
(exp.f64 (log.f64 (*.f64 f (PI.f64))))
(*.f64 (PI.f64) f)
(exp.f64 (*.f64 (log.f64 (*.f64 f (PI.f64))) 1))
(*.f64 (PI.f64) f)

eval453.0ms (1.5%)

Compiler

Compiled 21756 to 16125 computations (25.9% saved)

prune144.0ms (0.5%)

Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New61528643
Fresh415
Picked505
Done000
Total62429653
Accuracy
99.6%
Counts
653 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
93.2%
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3) (/.f64 -4 (PI.f64)))
93.4%
(*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 1) (/.f64 -4 (PI.f64)))
▶96.7%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
96.0%
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
1.6%
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64)))
94.2%
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3))
95.5%
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
95.9%
(neg.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
94.4%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)))
▶95.3%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)))
▶95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (*.f64 f 1/2) (PI.f64))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))))
▶95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
94.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
97.7%
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 3)))
▶99.1%
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
96.0%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)) (PI.f64))))
40.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3))) (PI.f64))))
99.0%
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (neg.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))
96.0%
(neg.f64 (*.f64 4 (-.f64 (+.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (*.f64 f (/.f64 (*.f64 0 (PI.f64)) (PI.f64)))) (/.f64 (log.f64 f) (PI.f64)))))
99.1%
(neg.f64 (*.f64 4 (+.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))) -1)))
98.0%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))))
77.1%
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) (/.f64 4 (PI.f64)))))
94.7%
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) 1/4)))))
94.7%
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
95.5%
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3)))
Compiler

Compiled 1120 to 948 computations (15.4% saved)

localize2.0s (6.7%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 f (*.f64 (PI.f64) 1/2))
✓99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2))
✓99.2%
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)
✓97.7%
(PI.f64)
✓99.3%
(/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f)
✓99.0%
(*.f64 f (*.f64 (PI.f64) -1/24))
✓98.5%
(*.f64 (PI.f64) -1/24)
✓97.7%
(PI.f64)
✓99.7%
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓97.7%
(PI.f64)
✓96.9%
(log.f64 (/.f64 4 (PI.f64)))
✓99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.6%
(*.f64 (PI.f64) f)
✓99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
✓97.7%
(PI.f64)
✓100.0%
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
✓99.6%
(*.f64 (PI.f64) (*.f64 f 1/4))
✓99.5%
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
✓97.7%
(PI.f64)
Compiler

Compiled 471 to 340 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
Operation ival-mult, time spent: 408.0ms, 33.0% of total-time
Operation ival-div, time spent: 255.0ms, 21.0% of total-time
Operation ival-log, time spent: 234.0ms, 19.0% of total-time
Operation composed, time spent: 74.0ms, 6.0% of total-time
Operation ival-sub, time spent: 54.0ms, 4.0% of total-time
Operation ival-exp, time spent: 44.0ms, 4.0% of total-time
Operation const, time spent: 39.0ms, 3.0% of total-time
Operation ival-add, time spent: 32.0ms, 3.0% of total-time
Operation ival-neg, time spent: 27.0ms, 2.0% of total-time
Operation ival-tanh, time spent: 23.0ms, 2.0% of total-time
Operation ival-sqrt, time spent: 17.0ms, 1.0% of total-time
Operation ival-pow, time spent: 11.0ms, 1.0% of total-time
Operation ival-pi, time spent: 8.0ms, 1.0% of total-time

series260.0ms (0.9%)

Counts
18 → 128
Calls
Call 1
Inputs
#<alt (PI.f64)>
#<alt (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))>
#<alt (*.f64 (PI.f64) (*.f64 f 1/4))>
#<alt (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))>
#<alt (PI.f64)>
#<alt (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))>
#<alt (/.f64 4 (*.f64 (PI.f64) f))>
#<alt (log.f64 (/.f64 4 (PI.f64)))>
#<alt (PI.f64)>
#<alt (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))>
#<alt (PI.f64)>
#<alt (*.f64 (PI.f64) -1/24)>
#<alt (*.f64 f (*.f64 (PI.f64) -1/24))>
#<alt (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (PI.f64)>
#<alt (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)>
#<alt (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2))>
Outputs
#<alt (*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))>
#<alt (+.f64 (*.f64 -2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 -1/2 (/.f64 (*.f64 f (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 f (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))) (PI.f64))) (*.f64 -1/6 (/.f64 (*.f64 f (+.f64 (*.f64 -48 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64)))))) (PI.f64))))))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (*.f64 1/4 (*.f64 f (PI.f64)))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))>
#<alt (+.f64 (log.f64 f) (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64)))))>
#<alt (+.f64 (log.f64 f) (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 1/2 (*.f64 f (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (PI.f64)))))))>
#<alt (+.f64 (log.f64 f) (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (*.f64 f (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 f (+.f64 (*.f64 1/6 (*.f64 f (+.f64 (*.f64 -48 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64))))))) (*.f64 1/2 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))))))))>
#<alt (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))>
#<alt (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))>
#<alt (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))>
#<alt (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))>
#<alt (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))>
#<alt (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))>
#<alt (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))>
#<alt (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.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 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<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 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 1/24 (*.f64 f (PI.f64))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 1/24 (*.f64 f (PI.f64))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (*.f64 1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 f (-.f64 (*.f64 1/24 (PI.f64)) (*.f64 1/2 (/.f64 1 f))))>
#<alt (*.f64 f (-.f64 (+.f64 (*.f64 1/24 (PI.f64)) (/.f64 2 (*.f64 (pow.f64 f 2) (PI.f64)))) (*.f64 1/2 (/.f64 1 f))))>
#<alt (*.f64 f (-.f64 (+.f64 (*.f64 1/24 (PI.f64)) (/.f64 2 (*.f64 (pow.f64 f 2) (PI.f64)))) (*.f64 1/2 (/.f64 1 f))))>
#<alt (*.f64 1/24 (*.f64 f (PI.f64)))>
#<alt (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/24 (PI.f64)) (*.f64 1/2 (/.f64 1 f)))))>
#<alt (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (*.f64 f (PI.f64)))) 1/2) f)) (*.f64 -1/24 (PI.f64)))))>
#<alt (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 2 (/.f64 1 (*.f64 f (PI.f64)))) 1/2) f)) (*.f64 -1/24 (PI.f64)))))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
Calls

33 calls:

TimeVariablePointExpression
94.0ms
f
@inf
(/ (neg (log (tanh (* (PI) (* f 1/4))))) (PI))
84.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (- (log (/ 4 (PI))) (log f)))
31.0ms
f
@-inf
(/ (neg (log (tanh (* (PI) (* f 1/4))))) (PI))
16.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (- (log (/ 4 (PI))) (log f)))
7.0ms
f
@inf
(* (/ 1 (/ (PI) 4)) (- (log (/ 4 (PI))) (log f)))

rewrite416.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
330×log1p-expm1-u
330×expm1-log1p-u
327×add-exp-log
323×pow1
323×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047373
1825367
Stop Event
1×node limit
Counts
18 → 424
Calls
Call 1
Inputs
(PI.f64)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(*.f64 (PI.f64) (*.f64 f 1/4))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))
(PI.f64)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(log.f64 (/.f64 4 (PI.f64)))
(PI.f64)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(PI.f64)
(*.f64 (PI.f64) -1/24)
(*.f64 f (*.f64 (PI.f64) -1/24))
(/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(PI.f64)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2))
Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.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)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))) 1)
(-.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 -1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) 1) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) -1)
(neg.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 2))
(log.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 1)
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) (sqrt.f64 f)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) 1) (/.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) f))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) (cbrt.f64 f)))
(pow.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)) 2)
(pow.f64 (/.f64 f (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(exp.f64 (log.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.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)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(+.f64 0 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(-.f64 0 (log.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (log.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 2))
(log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3/2) (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3/2)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (-.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))) 1)
(-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))) 1))

simplify217.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1102×associate-*r*
1018×times-frac
968×associate-*l*
928×associate-/r*
508×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092720747
1215819497
Stop Event
1×node limit
Counts
552 → 535
Calls
Call 1
Inputs
(*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
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(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
(*.f64 1/4 (*.f64 f (PI.f64)))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f))) 1)
(*.f64 1 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f))
(*.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)) 2) (cbrt.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)) (sqrt.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) (sqrt.f64 f)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) 1) (/.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) f))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (sqrt.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) (cbrt.f64 f)))
(pow.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)) 2)
(pow.f64 (/.f64 f (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(exp.f64 (log.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 f (+.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) -1/2) (/.f64 2 (PI.f64))) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
(*.f64 (pow.f64 (cbrt.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)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(+.f64 0 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(-.f64 0 (log.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
(*.f64 1 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(neg.f64 (log.f64 (/.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 2)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 2))
(log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3/2) (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3/2)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (-.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))))) 1)
(-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))) 2)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))) 1))
Outputs
(*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(neg.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (neg.f64 (PI.f64)))
(+.f64 (*.f64 -2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))
(fma.f64 -2 (*.f64 f (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2))) (neg.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))))
(-.f64 (*.f64 f 0) (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(+.f64 (*.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 f (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 -1/2 (/.f64 (*.f64 f (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))))))
(fma.f64 -1 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) (*.f64 f (fma.f64 -2 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)) (*.f64 -1/2 (*.f64 f (/.f64 (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))) (PI.f64)))))))
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(/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2)) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2))) (/.f64 4 (PI.f64))) -1))
(exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))))
(/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))))) 1))
(/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 1/4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (*.f64 (PI.f64) (*.f64 f 1/2)))))

eval411.0ms (1.4%)

Compiler

Compiled 17950 to 13503 computations (24.8% saved)

prune171.0ms (0.6%)

Pruning

22 alts after pruning (19 fresh and 3 done)

PrunedKeptTotal
New73912751
Fresh17724
Picked235
Done000
Total75822780
Accuracy
100.0%
Counts
780 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
55.7%
(*.f64 (log.f64 (+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) -1/24) (/.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) -1/2) f)) (neg.f64 f)) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
96.0%
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
▶1.6%
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64)))
96.0%
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
▶95.9%
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
95.8%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
▶95.8%
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
✓95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶95.7%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (*.f64 f 1/2) (PI.f64))))))
95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))
✓95.8%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
10.7%
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))))) (log1p.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64))))))) (PI.f64))))
✓99.1%
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
3.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
99.0%
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (neg.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))
▶99.1%
(neg.f64 (*.f64 4 (+.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))) -1)))
98.0%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))))
77.1%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
96.0%
(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
94.7%
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
Compiler

Compiled 661 to 555 computations (16% saved)

localize649.0ms (2.2%)

Localize:

Found 19 expressions with local error:

NewAccuracyProgram
✓100.0%
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
99.6%
(*.f64 f (*.f64 (PI.f64) 1/2))
✓99.5%
(-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
✓99.4%
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))
✓100.0%
(log.f64 (*.f64 f (PI.f64)))
✓99.8%
(-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))
99.6%
(*.f64 f (PI.f64))
✓99.3%
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))))
✓99.6%
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24)))
✓99.4%
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64))
✓98.4%
(*.f64 (PI.f64) 1/24)
✓100.0%
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
99.6%
(/.f64 4 (*.f64 (PI.f64) f))
99.6%
(*.f64 (PI.f64) f)
✓99.5%
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
✓99.6%
(*.f64 (*.f64 (PI.f64) 1/4) f)
✓99.6%
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
✓99.6%
(+.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))) -1)
✓99.5%
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))
Compiler

Compiled 305 to 204 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 343.0ms
Operation ival-log, time spent: 135.0ms, 39.0% of total-time
Operation ival-mult, time spent: 100.0ms, 29.0% of total-time
Operation ival-div, time spent: 51.0ms, 15.0% of total-time
Operation ival-tanh, time spent: 17.0ms, 5.0% of total-time
Operation ival-sub, time spent: 13.0ms, 4.0% of total-time
Operation const, time spent: 11.0ms, 3.0% of total-time
Operation ival-add, time spent: 9.0ms, 3.0% of total-time
Operation ival-neg, time spent: 5.0ms, 1.0% of total-time
Operation ival-pi, time spent: 2.0ms, 1.0% of total-time

series191.0ms (0.7%)

Counts
15 → 168
Calls
Call 1
Inputs
#<alt (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))>
#<alt (+.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))) -1)>
#<alt (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))>
#<alt (*.f64 (*.f64 (PI.f64) 1/4) f)>
#<alt (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))>
#<alt (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))>
#<alt (*.f64 (PI.f64) 1/24)>
#<alt (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24)))>
#<alt (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))))>
#<alt (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))>
#<alt (log.f64 (*.f64 f (PI.f64)))>
#<alt (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))>
#<alt (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))>
#<alt (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))>
Outputs
#<alt (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))>
#<alt (+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (*.f64 f (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (*.f64 f (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 f (+.f64 (*.f64 1/6 (/.f64 (*.f64 f (+.f64 (*.f64 -48 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64)))))) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))) (PI.f64))))))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
#<alt (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))>
#<alt (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))>
#<alt (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))>
#<alt (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))>
#<alt (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))>
#<alt (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))>
#<alt (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))>
#<alt (/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (+.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))>
#<alt (*.f64 -1 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
#<alt (-.f64 (*.f64 -2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
#<alt (-.f64 (*.f64 f (-.f64 (*.f64 -1/2 (/.f64 (*.f64 f (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))>
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#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (-.f64 (log.f64 4) (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 f) (log.f64 (PI.f64))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f)))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (-.f64 (log.f64 4) (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))))>
#<alt (+.f64 (log.f64 f) (log.f64 (PI.f64)))>
#<alt (+.f64 (log.f64 f) (log.f64 (PI.f64)))>
#<alt (+.f64 (log.f64 f) (log.f64 (PI.f64)))>
#<alt (+.f64 (log.f64 f) (log.f64 (PI.f64)))>
#<alt (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (PI.f64)) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (+.f64 (log.f64 (*.f64 -1 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))>
#<alt (-.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (*.f64 4 (/.f64 (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (+.f64 (log.f64 f) (log.f64 (*.f64 1/2 (PI.f64))))>
#<alt (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (*.f64 1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))>
#<alt (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))>
#<alt (+.f64 (log.f64 (*.f64 -1/2 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f))))>
Calls

42 calls:

TimeVariablePointExpression
34.0ms
f
@0
(/ (log (* f (* (PI) 1/2))) (* (PI) 1/4))
30.0ms
f
@0
(* (/ 1 (/ (PI) 4)) (- (log 4) (log (* f (PI)))))
24.0ms
f
@0
(/ (+ (log f) (log (* (PI) 1/24))) (PI))
19.0ms
f
@-inf
(* (/ 1 (/ (PI) 4)) (- (log 4) (log (* f (PI)))))
18.0ms
f
@-inf
(/ (log (* f (* (PI) 1/2))) (* (PI) 1/4))

rewrite178.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
342×frac-times
325×log1p-expm1-u
325×expm1-log1p-u
321×add-exp-log
316×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044421
1784417
Stop Event
1×node limit
Counts
15 → 434
Calls
Call 1
Inputs
(/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))
(+.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))) -1)
(log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))
(*.f64 (*.f64 (PI.f64) 1/4) f)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) 1/24)
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))
(log.f64 (*.f64 f (PI.f64)))
(/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))
(-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
Outputs
(-.f64 (+.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 1)
(*.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 1 (PI.f64)))
(*.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 1) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) 2))
(log.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 1))
(-.f64 1 (-.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) -1))
(-.f64 (exp.f64 (log1p.f64 (-.f64 1 (-.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) -1)))) 1)
(-.f64 (/.f64 (pow.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 2) (-.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) -1)) (/.f64 1 (-.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) -1)))
(*.f64 1 (-.f64 1 (-.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) -1)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (-.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) -1))) 2) (cbrt.f64 (-.f64 1 (-.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) -1))))
(*.f64 (sqrt.f64 (-.f64 1 (-.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) -1))) (sqrt.f64 (-.f64 1 (-.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) -1))))
(/.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 3) -1) (+.f64 (pow.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 2) (-.f64 1 (*.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) -1))))
(/.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 2) 1) (-.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 2) (-.f64 1 (*.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) -1)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 2) 1)) (neg.f64 (-.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) -1)))
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(/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 2) (PI.f64)) 3) 1/64) (pow.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) 3)) (+.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) 2) (+.f64 (pow.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) 2) (/.f64 (*.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (pow.f64 (PI.f64) 2) 16)))))
(/.f64 (-.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) 2) (pow.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) 2)) (+.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (log.f64 1/2) (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (-.f64 (/.f64 (log.f64 2) (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (PI.f64))) 1/4)
(/.f64 (-.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 2))) 1)) (*.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 2))) (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) 1/4) (*.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 2))) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 2))) (*.f64 (PI.f64) 1/4)))
(/.f64 (-.f64 (*.f64 1 (neg.f64 (*.f64 (PI.f64) 1/4))) (*.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 2))) (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 2))) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 2))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (PI.f64)))) (*.f64 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 2))) 1/4))
(/.f64 (-.f64 (*.f64 (log.f64 2) (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (*.f64 (PI.f64) 1/4) 1)) (*.f64 (*.f64 (PI.f64) 1/4) (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (-.f64 (*.f64 (log.f64 2) (neg.f64 (*.f64 (PI.f64) 1/4))) (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (log.f64 2) 1/4) (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (PI.f64)))) (*.f64 (*.f64 (PI.f64) 1/4) 1/4))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) 1)) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) (*.f64 (PI.f64) 1/4)) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (*.f64 (PI.f64) 1/4)))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) (neg.f64 (*.f64 (PI.f64) 1/4))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) 1/4) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (PI.f64)))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) 1/4))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 2) (PI.f64)) (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1/4) (*.f64 1/4 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 2) (PI.f64)) (*.f64 (PI.f64) 1/4)) (*.f64 1/4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 1/4 (*.f64 (PI.f64) 1/4)))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 2) (PI.f64)) (neg.f64 (*.f64 (PI.f64) 1/4))) (*.f64 1/4 (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 1/4 (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 2) (PI.f64)) 1/4) (*.f64 1/4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (PI.f64)))) 1/16)
(/.f64 (neg.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (neg.f64 (/.f64 (pow.f64 (PI.f64) 2) 16)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 2) (PI.f64)) 3) 1/64) (pow.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) 2) (+.f64 (pow.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) 2) (/.f64 (*.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (pow.f64 (PI.f64) 2) 16))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) 2) (pow.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) 2))) (neg.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 2))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 1))
(fma.f64 1 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(fma.f64 (log.f64 2) (*.f64 4 (/.f64 1 (PI.f64))) (neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64)))) 2) (cbrt.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64)))) (neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 2) (PI.f64))) 1/2) (/.f64 (sqrt.f64 (/.f64 (log.f64 2) (PI.f64))) 1/2) (neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 1/2))
(+.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (log.f64 f))
(+.f64 0 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(*.f64 1 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1))
(exp.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(fma.f64 1 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (cbrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
(fma.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/2)))

simplify280.0ms (1%)

Algorithm
1×egg-herbie
Rules
1354×associate-*r*
1306×times-frac
592×fma-define
464×distribute-rgt-in
438×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113729474
1287127188
Stop Event
1×node limit
Counts
602 → 685
Calls
Call 1
Inputs
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))
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(/.f64 (-.f64 (*.f64 (log.f64 2) (neg.f64 (*.f64 (PI.f64) 1/4))) (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (*.f64 (PI.f64) 1/4) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (log.f64 2) 1/4) (*.f64 (*.f64 (PI.f64) 1/4) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (PI.f64)))) (*.f64 (*.f64 (PI.f64) 1/4) 1/4))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) 1)) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) (*.f64 (PI.f64) 1/4)) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (*.f64 (PI.f64) 1/4)))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) (neg.f64 (*.f64 (PI.f64) 1/4))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (log.f64 1/2) 1/4) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (PI.f64)))) (*.f64 (neg.f64 (*.f64 (PI.f64) 1/4)) 1/4))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 2) (PI.f64)) (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) 1/4) (*.f64 1/4 (*.f64 1/4 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 2) (PI.f64)) (*.f64 (PI.f64) 1/4)) (*.f64 1/4 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) (*.f64 1/4 (*.f64 (PI.f64) 1/4)))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 2) (PI.f64)) (neg.f64 (*.f64 (PI.f64) 1/4))) (*.f64 1/4 (neg.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (*.f64 1/4 (neg.f64 (*.f64 (PI.f64) 1/4))))
(/.f64 (-.f64 (*.f64 (/.f64 (log.f64 2) (PI.f64)) 1/4) (*.f64 1/4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (PI.f64)))) 1/16)
(/.f64 (neg.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (-.f64 (*.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (*.f64 (*.f64 (PI.f64) 1/4) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))) (neg.f64 (/.f64 (pow.f64 (PI.f64) 2) 16)))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 2) (PI.f64)) 3) 1/64) (pow.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) 2) (+.f64 (pow.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) 2) (/.f64 (*.f64 (log.f64 2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (pow.f64 (PI.f64) 2) 16))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) 2) (pow.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)) 2))) (neg.f64 (+.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))))
(pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 2))
(log.f64 (exp.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 1))
(fma.f64 1 (*.f64 4 (/.f64 (log.f64 2) (PI.f64))) (neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(fma.f64 (log.f64 2) (*.f64 4 (/.f64 1 (PI.f64))) (neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64)))) 2) (cbrt.f64 (*.f64 4 (/.f64 (log.f64 2) (PI.f64)))) (neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 2) (PI.f64))) 1/2) (/.f64 (sqrt.f64 (/.f64 (log.f64 2) (PI.f64))) 1/2) (neg.f64 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 1/2))
(+.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (log.f64 f))
(+.f64 0 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(*.f64 1 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1))
(exp.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(fma.f64 1 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (cbrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
(fma.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
Outputs
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))
(+.f64 (*.f64 2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(fma.f64 2 (*.f64 f (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(+.f64 (*.f64 f (/.f64 0 (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(+.f64 (*.f64 f (+.f64 (*.f64 1/2 (/.f64 (*.f64 f (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (PI.f64))) (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(fma.f64 f (fma.f64 1/2 (*.f64 f (/.f64 (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))) (PI.f64))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(fma.f64 f (fma.f64 1/2 (*.f64 f (/.f64 (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/32) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (*.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64)) (/.f64 0 (pow.f64 (PI.f64) 2))) (PI.f64))) (/.f64 0 (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(+.f64 (*.f64 f (+.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (*.f64 f (+.f64 (*.f64 1/6 (/.f64 (*.f64 f (+.f64 (*.f64 -48 (/.f64 (*.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3)))) (pow.f64 (PI.f64) 2))) (+.f64 (*.f64 16 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (*.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/1536 (pow.f64 (PI.f64) 4)) (*.f64 1/3072 (pow.f64 (PI.f64) 4)))))) (+.f64 (*.f64 -1/8 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (*.f64 -1/128 (pow.f64 (PI.f64) 3))))) (*.f64 1/64 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))) (PI.f64)))))) (PI.f64))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -4 (/.f64 (pow.f64 (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (*.f64 8 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (*.f64 -1/128 (pow.f64 (PI.f64) 3)) (*.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))) (PI.f64))))))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(fma.f64 f (fma.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 2)) (*.f64 f (fma.f64 1/6 (*.f64 f (/.f64 (fma.f64 -48 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (pow.f64 (PI.f64) 2))) (fma.f64 16 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)) (*.f64 24 (/.f64 (-.f64 (*.f64 1/2 (fma.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/192))) (fma.f64 -1/32 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 4) -1/3072)))) (fma.f64 -1/8 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 -1/128 (pow.f64 (PI.f64) 3)))) (*.f64 (*.f64 1/64 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) 0)))) (PI.f64))))) (PI.f64))) (*.f64 1/2 (/.f64 (fma.f64 -4 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (*.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) -1/32)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))) (PI.f64)))))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
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(fma.f64 (/.f64 (sqrt.f64 (/.f64 (log.f64 2) (PI.f64))) 1/2) (/.f64 (sqrt.f64 (/.f64 (log.f64 2) (PI.f64))) 1/2) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) -1/4)))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (*.f64 (PI.f64) f)) (log.f64 1/2))
(+.f64 (log.f64 (*.f64 f (PI.f64))) (log.f64 1/2))
(+.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (log.f64 f))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 0 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2)) (log.f64 (cbrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) 1)
(expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(*.f64 1 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 1)
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(pow.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 2))
(fabs.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) 3))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log1p.f64 (-.f64 (*.f64 f (*.f64 (PI.f64) 1/2)) 1))
(log1p.f64 (fma.f64 f (*.f64 (PI.f64) 1/2) -1))
(exp.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) 1))
(log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))
(fma.f64 1 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (cbrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/2)))
(fma.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (log.f64 f)) (log.f64 (*.f64 (PI.f64) 1/2)))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/2)))

eval399.0ms (1.4%)

Compiler

Compiled 19132 to 14459 computations (24.4% saved)

prune186.0ms (0.6%)

Pruning

24 alts after pruning (20 fresh and 4 done)

PrunedKeptTotal
New75712769
Fresh6814
Picked325
Done123
Total76724791
Accuracy
100.0%
Counts
791 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
55.7%
(*.f64 (log.f64 (+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) -1/24) (/.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) -1/2) f)) (neg.f64 f)) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
96.0%
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
✓1.6%
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64)))
1.6%
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
28.4%
(*.f64 -4 (/.f64 (fabs.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24)))) (PI.f64)))
1.6%
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))))))
95.8%
(neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 2) (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (PI.f64))) 1/4))
95.9%
(neg.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
95.9%
(neg.f64 (/.f64 (+.f64 (log.f64 1/2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) -1/4)))
96.0%
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
96.0%
(neg.f64 (/.f64 (fabs.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
94.7%
(neg.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
95.8%
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
95.8%
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
✓95.9%
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
95.8%
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
10.7%
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))))) (log1p.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64))))))) (PI.f64))))
✓99.1%
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
3.1%
(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
✓99.1%
(neg.f64 (*.f64 4 (+.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))) -1)))
96.0%
(neg.f64 (*.f64 4 (neg.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))))
98.0%
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))))
77.1%
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
Compiler

Compiled 1548 to 1183 computations (23.6% saved)

regimes216.0ms (0.7%)

Counts
64 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)) (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 -4 (/.f64 (fabs.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
(neg.f64 (/.f64 (fabs.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (*.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 (+.f64 (log.f64 1/2) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) -1/4)))
(neg.f64 (*.f64 4 (neg.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (neg.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f)))))))
(neg.f64 (*.f64 4 (+.f64 (-.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 (PI.f64) 1/4) f))) (PI.f64))) -1)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 2) (log.f64 (*.f64 (*.f64 f 1/2) (PI.f64))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (-.f64 (/.f64 (log.f64 4) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4))))
(neg.f64 (/.f64 (-.f64 (/.f64 (log.f64 2) (PI.f64)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (PI.f64))) 1/4))
(neg.f64 (-.f64 (/.f64 (log.f64 2) (*.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
(neg.f64 (*.f64 4 (-.f64 (+.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (PI.f64)) (*.f64 f (/.f64 (*.f64 0 (PI.f64)) (PI.f64)))) (/.f64 (log.f64 f) (PI.f64)))))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) -1/24) (/.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) -1/2) f)) (neg.f64 f)) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.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 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))
(neg.f64 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) 1/4)))))
(neg.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3)))
(neg.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4))) 2))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))))
(neg.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (PI.f64) 1/4)) 3) 1/3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2)))) 3) 1/3)))
(-.f64 (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(*.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 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))))) (PI.f64))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))))
(neg.f64 (*.f64 4 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 3)))
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))))) (log1p.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64))))))) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 2 (*.f64 f (PI.f64))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 1) (/.f64 -4 (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (-.f64 (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64)))) (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))) (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))))))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (pow.f64 (*.f64 2 (sinh.f64 (*.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3))) (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 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (exp.f64 (*.f64 -1/4 (*.f64 f (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 f (+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (*.f64 (pow.f64 (PI.f64) 3) 1/192))) (*.f64 (PI.f64) 1/2)))))))
Outputs
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
Calls

6 calls:

118.0ms
(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))))))))
32.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
30.0ms
f
11.0ms
(/.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)))))
11.0ms
(*.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)))))))
Results
AccuracySegmentsBranch
99.1%1f
99.1%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))))))))
99.1%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)))))))
99.1%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))))))
99.1%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)))))
99.1%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes13.0ms (0%)

Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)) (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 -4 (/.f64 (fabs.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
(neg.f64 (/.f64 (fabs.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (log.f64 (pow.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64))) (/.f64 4 (PI.f64)))))
Outputs
(neg.f64 (/.f64 (fabs.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
Calls

1 calls:

11.0ms
f
Results
AccuracySegmentsBranch
96.0%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0%)

Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)) (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 -4 (/.f64 (fabs.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 f (*.f64 1/4 (PI.f64))))) (PI.f64))))
Outputs
(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
Calls

1 calls:

12.0ms
f
Results
AccuracySegmentsBranch
96.0%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0%)

Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)) (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 -4 (/.f64 (fabs.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
Calls

1 calls:

11.0ms
f
Results
AccuracySegmentsBranch
96.0%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes56.0ms (0.2%)

Counts
16 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(neg.f64 (/.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(neg.f64 (/.f64 (log.f64 (/.f64 2 (*.f64 (*.f64 f 1/2) (PI.f64)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log1p.f64 (-.f64 (/.f64 2 (*.f64 f (*.f64 (PI.f64) 1/2))) 1))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (*.f64 f (+.f64 (*.f64 -1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (*.f64 1/4 (/.f64 (PI.f64) (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))) (*.f64 2 (/.f64 1 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))) f)) (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 -4 (/.f64 (fabs.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/24))) (PI.f64)))
Outputs
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
Calls

1 calls:

9.0ms
f
Results
AccuracySegmentsBranch
96.0%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
Outputs
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
Calls

1 calls:

4.0ms
f
Results
AccuracySegmentsBranch
95.9%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
Outputs
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
95.8%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
1.6%1f
Compiler

Compiled 2 to 1 computations (50% saved)

simplify56.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
382×unsub-neg
378×distribute-lft-neg-in
332×neg-mul-1
174×neg-sub0
158×cancel-sign-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052332
1103324
2167324
3235324
4301324
5369324
6612324
7999324
81236324
91348324
101421324
111458324
121470324
131482324
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(neg.f64 (/.f64 (fabs.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
Outputs
(neg.f64 (*.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64)))
(neg.f64 (/.f64 (fabs.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4)))
(/.f64 (fabs.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (fabs.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) (neg.f64 1/4)))
(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(neg.f64 (fabs.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) (neg.f64 1/4)))
(/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (*.f64 (PI.f64) 1/4))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) (neg.f64 1/4)))
(neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (neg.f64 (PI.f64))))
(*.f64 -4 (/.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) 1/24))) (PI.f64)))
Compiler

Compiled 97 to 81 computations (16.5% saved)

soundness1.9s (6.4%)

Rules
3700×fma-define
1678×fma-neg
1354×associate-*r*
1312×associate-*r*
1306×times-frac
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
0114023176
1291121815
067748
11232638
092720747
1215819497
047373
1825367
02766093
18465617
234535317
0113729474
1287127188
044421
1784417
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 1116 to 826 computations (26% saved)

end0.0ms (0%)

preprocess92.0ms (0.3%)

Compiler

Compiled 256 to 192 computations (25% saved)

Profiling

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