VandenBroeck and Keller, Equation (20)

Time bar (total: 28.9s)

analyze442.0ms (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: 283.0ms
Operation ival-div, time spent: 83.0ms, 29.0% of total-time
Operation ival-exp, time spent: 64.0ms, 23.0% of total-time
Operation ival-mult, time spent: 59.0ms, 21.0% of total-time
Operation ival-neg, time spent: 22.0ms, 8.0% of total-time
Operation ival-log, time spent: 19.0ms, 7.0% of total-time
Operation ival-add, time spent: 11.0ms, 4.0% of total-time
Operation ival-sub, time spent: 9.0ms, 3.0% of total-time
Operation ival-pi, time spent: 8.0ms, 3.0% of total-time
Operation const, time spent: 8.0ms, 3.0% of total-time

sample12.2s (42.2%)

Results
3.2s3963×1024valid
3.6s3917×1024invalid
1.1s2080×512valid
1.0s2028×512invalid
786.0ms1848×256valid
382.0ms1045×256invalid
536.0ms364×2048valid
1.0ms5×256unsamplable
0.0ms1×512valid
Precisions
Click to see histograms. Total time spent on operations: 8.6s
Operation ival-div, time spent: 2.6s, 30.0% of total-time
Operation ival-exp, time spent: 1.9s, 22.0% of total-time
Operation ival-mult, time spent: 1.8s, 21.0% of total-time
Operation ival-log, time spent: 812.0ms, 9.0% of total-time
Operation ival-neg, time spent: 520.0ms, 6.0% of total-time
Operation ival-sub, time spent: 382.0ms, 4.0% of total-time
Operation ival-add, time spent: 215.0ms, 2.0% of total-time
Operation ival-pi, time spent: 206.0ms, 2.0% of total-time
Operation const, time spent: 154.0ms, 2.0% of total-time
Bogosity

preprocess2.4s (8.2%)

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
2480-0-(-.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)))))
20-1(3.2194677691463864)(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))))))
10-0-(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
10-0-(exp.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: 1.5s
Operation ival-mult, time spent: 405.0ms, 28.0% of total-time
Operation ival-exp, time spent: 393.0ms, 27.0% of total-time
Operation ival-div, time spent: 361.0ms, 25.0% of total-time
Operation ival-log, time spent: 97.0ms, 7.0% of total-time
Operation ival-neg, time spent: 70.0ms, 5.0% of total-time
Operation ival-add, time spent: 68.0ms, 5.0% of total-time
Operation ival-sub, time spent: 40.0ms, 3.0% of total-time
Operation const, time spent: 23.0ms, 2.0% of total-time
Operation ival-pi, time spent: 6.0ms, 0.0% of total-time

eval4.0ms (0%)

Compiler

Compiled 236 to 174 computations (26.3% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.1%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

localize614.0ms (2.1%)

Localize:

Found 4 expressions with local error:

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

Compiled 113 to 77 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 616.0ms
Operation composed, time spent: 218.0ms, 35.0% of total-time
Operation ival-sub, time spent: 108.0ms, 18.0% of total-time
Operation ival-mult, time spent: 88.0ms, 14.0% of total-time
Operation ival-exp, time spent: 84.0ms, 14.0% of total-time
Operation ival-div, time spent: 58.0ms, 9.0% of total-time
Operation ival-log, time spent: 36.0ms, 6.0% of total-time
Operation const, time spent: 13.0ms, 2.0% of total-time
Operation ival-add, time spent: 9.0ms, 1.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series87.0ms (0.3%)

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

12 calls:

TimeVariablePointExpression
44.0ms
f
@inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
32.0ms
f
@-inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
5.0ms
f
@0
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
1.0ms
f
@-inf
(/ -1 (- (exp (* (* -1/2 f) (PI))) 1))
1.0ms
f
@0
(/ -1 (- (exp (* (* -1/2 f) (PI))) 1))

rewrite252.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024147
1323147
24715147
Stop Event
1×node limit
Counts
4 → 89
Calls
Call 1
Inputs
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64))))
(/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))
(*.f64 (PI.f64) f)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))))) 1)
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4)))
(/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 2))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) 2)
(neg.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) 2)
(neg.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))

simplify96.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
1334×distribute-lft-in
1332×distribute-rgt-in
1026×associate-+l+
924×associate-+r+
370×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02975642
17535290
225635058
Stop Event
1×node limit
Counts
137 → 126
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (*.f64 f (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))
(+.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 2 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/96 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.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))
(/.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))
(*.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 (exp.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))))) 1)
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4)))
(/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (*.f64 (PI.f64) -1/4))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 2))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 -4 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) 2)
(neg.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(*.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3) 1/3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) 2)
(neg.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
Outputs
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 -1 (*.f64 (pow.f64 f 2) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (neg.f64 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)))))
(-.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)))
(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 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24))))) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (neg.f64 (fma.f64 f (*.f64 (*.f64 (PI.f64) 1/4) (+.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))) (*.f64 (PI.f64) 1/12)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (fma.f64 f (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) 0)) (*.f64 (PI.f64) -1/12))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 -1 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 f (+.f64 (*.f64 -1 (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 -1/6 (/.f64 (*.f64 f (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3)))))))))) (PI.f64))))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (*.f64 (pow.f64 f 2) (fma.f64 -1 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)) (*.f64 f (fma.f64 -1 (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))) (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)))) (*.f64 -1/6 (/.f64 (*.f64 f (fma.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)) 2)) (*.f64 6 (*.f64 (PI.f64) (-.f64 (fma.f64 -1/24 (*.f64 (*.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)) (fma.f64 -1/960 (pow.f64 (PI.f64) 3) (fma.f64 1/384 (pow.f64 (PI.f64) 3) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/96) (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))))))))) (fma.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 2) -1/96))) (fma.f64 -1/24 (*.f64 (*.f64 (PI.f64) -1/24) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) -1/640)))))))) (PI.f64))))))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (pow.f64 f 2) (-.f64 (*.f64 f (-.f64 (*.f64 f (*.f64 (/.f64 (fma.f64 -3/4 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 1/12 (pow.f64 (PI.f64) 3))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 3) 1/24) (+.f64 (*.f64 (PI.f64) (*.f64 (fma.f64 (pow.f64 (PI.f64) 2) -1/96 (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) 1/24))) 1/4)) (*.f64 (pow.f64 (PI.f64) 3) 1/640))) (fma.f64 -1/4 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/96) (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/24))) (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 3) -1/24) (*.f64 (pow.f64 (PI.f64) 3) -1/640))))))) (PI.f64)) -1/6)) (*.f64 (*.f64 (PI.f64) 1/4) (+.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))))) (*.f64 (PI.f64) 1/12))))
(fma.f64 (pow.f64 f 2) (fma.f64 f (fma.f64 f (*.f64 (/.f64 (fma.f64 -3/4 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 1/12 (pow.f64 (PI.f64) 3))) (*.f64 (-.f64 (+.f64 (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 3) 1/24) (*.f64 1/4 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/96) (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/24))))) (*.f64 (pow.f64 (PI.f64) 3) 1/640)) (fma.f64 -1/4 (+.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/96) (*.f64 -1/4 (*.f64 (pow.f64 (PI.f64) 3) -1/24))) (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 3) -1/24) (*.f64 (pow.f64 (PI.f64) 3) -1/640)))) (*.f64 (PI.f64) 6))) (PI.f64)) -1/6) (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) 0))) (*.f64 (PI.f64) -1/12)) (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (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 (expm1.f64 (*.f64 1/2 (*.f64 (PI.f64) f)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 1/2 (PI.f64))))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (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 (expm1.f64 (*.f64 1/2 (*.f64 (PI.f64) f)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 1/2 (PI.f64))))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (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)))
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(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2)) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -2)
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1/2) 2)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(neg.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 0)
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(+.f64 (*.f64 (PI.f64) f) 0)
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 (PI.f64) f)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(*.f64 (PI.f64) f)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(*.f64 (PI.f64) f)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(*.f64 (PI.f64) f)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(*.f64 (PI.f64) f)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) f)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(+.f64 (*.f64 (PI.f64) f) 0)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) 1))
(*.f64 (PI.f64) f)

eval93.0ms (0.3%)

Compiler

Compiled 3742 to 2814 computations (24.8% saved)

prune27.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1197126
Fresh000
Picked011
Done000
Total1198127
Accuracy
99.5%
Counts
127 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.0%
(*.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)))
37.0%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
96.6%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
▶96.0%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
▶95.2%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
✓99.1%
(*.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)))
▶96.1%
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
▶99.3%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
Compiler

Compiled 367 to 297 computations (19.1% saved)

localize2.3s (7.8%)

Localize:

Found 19 expressions with local error:

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

Compiled 508 to 348 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.8s
Operation ival-mult, time spent: 427.0ms, 24.0% of total-time
Operation composed, time spent: 374.0ms, 21.0% of total-time
Operation ival-div, time spent: 290.0ms, 16.0% of total-time
Operation ival-exp, time spent: 211.0ms, 12.0% of total-time
Operation ival-log, time spent: 208.0ms, 12.0% of total-time
Operation ival-add, time spent: 107.0ms, 6.0% of total-time
Operation ival-sub, time spent: 106.0ms, 6.0% of total-time
Operation const, time spent: 50.0ms, 3.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series162.0ms (0.6%)

Counts
14 → 142
Calls
Call 1
Inputs
#<alt (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))>
#<alt (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))>
#<alt (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))>
#<alt (*.f64 f (*.f64 (PI.f64) 1/2))>
#<alt (log.f64 (/.f64 4 (PI.f64)))>
#<alt (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))>
#<alt (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))>
#<alt (/.f64 2 (*.f64 (PI.f64) f))>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))>
#<alt (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (*.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)))>
#<alt (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (*.f64 (*.f64 -1/2 f) (PI.f64))>
Outputs
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/4 (*.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 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/4 (*.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 1/4 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/4 (-.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 1/24 (/.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 1/4 (-.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 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))>
#<alt (/.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 (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 (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 (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 (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 (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 (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 (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 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 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/96 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.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))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
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#<alt (*.f64 -4 (/.f64 (log.f64 (neg.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))) (PI.f64)))>
#<alt (+.f64 (*.f64 -4 (/.f64 (log.f64 (neg.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))) (PI.f64))) (*.f64 8 (/.f64 1 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (log.f64 (neg.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))) (PI.f64))) (+.f64 (/.f64 8 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))))) (/.f64 8 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))) 2))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (log.f64 (neg.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))) (PI.f64))) (+.f64 (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))) 2))))) (+.f64 (*.f64 32/3 (/.f64 1 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))) 3))))) (/.f64 8 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))))))))>
#<alt (*.f64 -4 (/.f64 (log.f64 (neg.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))) (PI.f64)))>
#<alt (+.f64 (*.f64 -4 (/.f64 (log.f64 (neg.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))) (PI.f64))) (*.f64 8 (/.f64 1 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (log.f64 (neg.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))) (PI.f64))) (+.f64 (/.f64 8 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))))) (/.f64 8 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))) 2))))))>
#<alt (+.f64 (*.f64 -4 (/.f64 (log.f64 (neg.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))) (PI.f64))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 32/3 (/.f64 1 (*.f64 f (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))) 3))))) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))) 2))))) f)) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))))))) f)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt -1/2>
#<alt (-.f64 (*.f64 2 (/.f64 1 (*.f64 f (PI.f64)))) 1/2)>
#<alt (-.f64 (*.f64 2 (/.f64 1 (*.f64 f (PI.f64)))) 1/2)>
#<alt (-.f64 (*.f64 2 (/.f64 1 (*.f64 f (PI.f64)))) 1/2)>
#<alt -1/2>
#<alt (-.f64 (*.f64 2 (/.f64 1 (*.f64 f (PI.f64)))) 1/2)>
#<alt (-.f64 (*.f64 2 (/.f64 1 (*.f64 f (PI.f64)))) 1/2)>
#<alt (-.f64 (*.f64 2 (/.f64 1 (*.f64 f (PI.f64)))) 1/2)>
#<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)))>
Calls

39 calls:

TimeVariablePointExpression
50.0ms
f
@0
(/ (- (log (/ 4 (PI))) (log f)) (PI))
17.0ms
f
@-inf
(/ (- (log (/ 4 (PI))) (log f)) (PI))
7.0ms
f
@inf
(/ (- (log (/ 4 (PI))) (log f)) (PI))
4.0ms
f
@inf
(* (log (+ (/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f) (/ -1 (- (exp (* (* -1/2 f) (PI))) 1)))) (/ -4 (PI)))
3.0ms
f
@-inf
(* (log (+ (/ 1 (- (exp (* (* (PI) f) 1/2)) 1)) (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f))) (/ -4 (PI)))

rewrite159.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
421×log1p-expm1-u
417×expm1-log1p-u
415×add-exp-log
412×add-cube-cbrt
409×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056535
11060535
Stop Event
1×node limit
Counts
14 → 253
Calls
Call 1
Inputs
(/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 f (*.f64 (PI.f64) 1/2))
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(/.f64 2 (*.f64 (PI.f64) f))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(*.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 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(*.f64 (*.f64 -1/2 f) (PI.f64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))) 1)
(*.f64 1 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) -1)
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 1 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 2)) (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2)
(pow.f64 (neg.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) -1)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1) -1)
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 3))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 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 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -2)) (/.f64 1 (cbrt.f64 (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 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) 3)
(pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))) 2)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -3) 1/3)
(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 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 (exp.f64 (PI.f64)) (*.f64 f 1/2)))
(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))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) 1/8)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 3) (pow.f64 f 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 (log.f64 4) (neg.f64 (log.f64 (PI.f64))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (/.f64 4 (PI.f64)) 2))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 0 (log.f64 (/.f64 (PI.f64) 4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
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(pow.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.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 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))) 1)
(*.f64 1 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))
(*.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 2) (cbrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) (sqrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(pow.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 2)
(pow.f64 (/.f64 f (fma.f64 f -1/2 (/.f64 2 (PI.f64)))) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(exp.f64 (log.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) -1/8)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 f 3) -1/8) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 1))

simplify402.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1034×fma-define
1024×associate-*r*
904×associate-*l*
670×*-commutative
656×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
091619492
1224218907
2790118903
Stop Event
1×node limit
Counts
395 → 455
Calls
Call 1
Inputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/4 (*.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 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/4 (*.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 1/4 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/4 (-.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 1/24 (/.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 1/4 (-.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 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(/.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 (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 (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 (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 (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 (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 (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 (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 2 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)
(/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)
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(/.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))
(/.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))
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(/.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 1/2 (*.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 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(*.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 1/2 f))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 f (+.f64 1/2 (*.f64 -2 (/.f64 (*.f64 f (+.f64 (*.f64 -1/2 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 -1/64 (pow.f64 (PI.f64) 2)))) (PI.f64))))))
(+.f64 (*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 f (+.f64 1/2 (*.f64 f (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/2 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 -1/64 (pow.f64 (PI.f64) 2))) (PI.f64))) (*.f64 -2/3 (/.f64 (*.f64 f (+.f64 (*.f64 -3/2 (*.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 -3/16 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (*.f64 -1/256 (pow.f64 (PI.f64) 3))))) (PI.f64))))))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) (PI.f64)))
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(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 2 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 2 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 2 (*.f64 f (PI.f64))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 2 (*.f64 f (PI.f64))))) 3)))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 2 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 2 (*.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 2 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 2 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 f (PI.f64))))) 1)
(*.f64 1 (/.f64 2 (*.f64 f (PI.f64))))
(*.f64 2 (/.f64 1 (*.f64 f (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 2 (*.f64 f (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 f (PI.f64)))) (sqrt.f64 (/.f64 2 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 2 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 2 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 f (PI.f64)))) 2)
(pow.f64 (/.f64 (*.f64 f (PI.f64)) 2) -1)
(log.f64 (exp.f64 (/.f64 2 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 f (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64)))))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) -4) (PI.f64))
(pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) 1)
(*.f64 1 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))
(*.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) 2) (cbrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (sqrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(pow.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) 2)
(pow.f64 (/.f64 f (fma.f64 f 1/2 (/.f64 2 (PI.f64)))) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(exp.f64 (log.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
(pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.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 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))) 1)
(*.f64 1 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))
(*.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 2) (cbrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) (sqrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(pow.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 2)
(pow.f64 (/.f64 f (fma.f64 f -1/2 (/.f64 2 (PI.f64)))) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(exp.f64 (log.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) -1/8)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 f 3) -1/8) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 1))
Outputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 1/4 (*.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 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(fma.f64 -1 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/4 (*.f64 (pow.f64 f 2) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(+.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 1/4 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/4 (*.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 1/4 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
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(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))) 2)
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 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 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) 0))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64)))) 3))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) 3)))
(cbrt.f64 (*.f64 (/.f64 -64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) 3)))
(cbrt.f64 (*.f64 (/.f64 -64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (/.f64 -64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) 3)))
(cbrt.f64 (*.f64 (/.f64 -64 (pow.f64 (PI.f64) 3)) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 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 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) 0))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))) 1))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))) 1)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(*.f64 1 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(*.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) (/.f64 1 f))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) 2) (cbrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (sqrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(pow.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f) 1)
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) 3)
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(pow.f64 (pow.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f) 3) 1/3)
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) 2)
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(pow.f64 (/.f64 f (fma.f64 f 1/2 (/.f64 2 (PI.f64)))) -1)
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(log.f64 (exp.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f))))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f) 3))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) 3) (pow.f64 f 3)))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(exp.f64 (log.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) 1))
(/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))))) 1)
(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 -1/2 (/.f64 2 (PI.f64))) f))))))
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) -4) (PI.f64))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 1)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 3)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(pow.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3) 1/3)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 2)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(log.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.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 -1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) 3))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(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 -1/2 (/.f64 2 (PI.f64))) f))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.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 -1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))) 1))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))) 1)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(*.f64 1 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(*.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) (/.f64 1 f))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 2) (cbrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) (sqrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(pow.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) 1)
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(pow.f64 (cbrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 3)
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(pow.f64 (pow.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) 3) 1/3)
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 2)
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(pow.f64 (/.f64 f (fma.f64 f -1/2 (/.f64 2 (PI.f64)))) -1)
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(log.f64 (exp.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f))))
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) 3))
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) 3) (pow.f64 f 3)))
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(exp.f64 (log.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)))
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)) 1))
(/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 1)
(*.f64 (PI.f64) (*.f64 f -1/2))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 3)
(*.f64 (PI.f64) (*.f64 f -1/2))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3)
(*.f64 (PI.f64) (*.f64 f -1/2))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)
(*.f64 (PI.f64) (*.f64 f -1/2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))
(*.f64 (PI.f64) (*.f64 f -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (PI.f64) (*.f64 f -1/2))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3))
(*.f64 (PI.f64) (*.f64 f -1/2))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 3) -1/8)))
(*.f64 (PI.f64) (*.f64 f -1/2))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 f 3) -1/8) (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) (*.f64 f -1/2))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (PI.f64) (*.f64 f -1/2))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (PI.f64) (*.f64 f -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 1))
(*.f64 (PI.f64) (*.f64 f -1/2))

eval525.0ms (1.8%)

Compiler

Compiled 18984 to 14021 computations (26.1% saved)

prune131.0ms (0.5%)

Pruning

29 alts after pruning (26 fresh and 3 done)

PrunedKeptTotal
New64026666
Fresh202
Picked325
Done011
Total64529674
Accuracy
99.8%
Counts
674 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.5%
(/.f64 (*.f64 -4 (log.f64 (+.f64 -1/2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
95.2%
(*.f64 (log.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 -1/2 (*.f64 f (*.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
96.0%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
▶95.2%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
95.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
95.1%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
3.3%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (/.f64 -4 (PI.f64)))
6.1%
(*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
✓96.0%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
✓99.1%
(*.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)))
▶96.0%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
96.0%
(*.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1))
95.6%
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
98.8%
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 2))
94.5%
(*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
✓96.1%
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
96.1%
(*.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1)) (PI.f64)))
96.1%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
▶96.1%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
▶99.3%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (PI.f64)))
96.8%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (PI.f64)))
95.0%
(*.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
95.6%
(*.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (PI.f64)))
96.0%
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
95.9%
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
96.0%
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
99.2%
(*.f64 -4 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
▶94.8%
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
94.9%
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
Compiler

Compiled 1125 to 918 computations (18.4% saved)

localize2.5s (8.6%)

Localize:

Found 20 expressions with local error:

NewAccuracyProgram
✓99.5%
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
✓99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
✓98.3%
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
✓98.1%
(PI.f64)
99.6%
(/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2)))
✓99.4%
(/.f64 (/.f64 2 (PI.f64)) f)
✓99.3%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
✓98.1%
(PI.f64)
✓99.0%
(*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))
✓98.5%
(*.f64 1/12 (PI.f64))
✓98.1%
(PI.f64)
✓97.6%
(+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))
99.6%
(*.f64 (PI.f64) f)
✓99.5%
(/.f64 4 (*.f64 (PI.f64) f))
✓99.5%
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
✓98.1%
(PI.f64)
99.6%
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
✓99.5%
(/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (PI.f64))
✓99.3%
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2)
✓98.1%
(PI.f64)
Compiler

Compiled 582 to 405 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0s
Operation ival-mult, time spent: 442.0ms, 22.0% of total-time
Operation composed, time spent: 412.0ms, 20.0% of total-time
Operation ival-div, time spent: 330.0ms, 16.0% of total-time
Operation ival-log, time spent: 277.0ms, 14.0% of total-time
Operation ival-exp, time spent: 211.0ms, 10.0% of total-time
Operation ival-sub, time spent: 115.0ms, 6.0% of total-time
Operation ival-add, time spent: 100.0ms, 5.0% of total-time
Operation const, time spent: 54.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 48.0ms, 2.0% of total-time
Operation ival-pow, time spent: 28.0ms, 1.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series111.0ms (0.4%)

Counts
17 → 108
Calls
Call 1
Inputs
#<alt (PI.f64)>
#<alt (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2)>
#<alt (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (PI.f64))>
#<alt (PI.f64)>
#<alt (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))>
#<alt (/.f64 4 (*.f64 (PI.f64) f))>
#<alt (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))>
#<alt (PI.f64)>
#<alt (*.f64 1/12 (PI.f64))>
#<alt (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))>
#<alt (PI.f64)>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))>
#<alt (/.f64 (/.f64 2 (PI.f64)) f)>
#<alt (PI.f64)>
#<alt (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))>
#<alt (/.f64 (/.f64 4 (PI.f64)) f)>
#<alt (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))>
Outputs
#<alt (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 f (PI.f64))))>
#<alt (/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 -1/2 (*.f64 f (pow.f64 (sqrt.f64 -1) 2)))) f)>
#<alt (/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2)))))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))) f)>
#<alt (/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 f (-.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/96 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2)))))))))) (+.f64 (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2)))))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))) f)>
#<alt (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))>
#<alt (/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 2 (/.f64 1 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 -1 (/.f64 (*.f64 f (+.f64 1/2 (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (PI.f64) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 2 (/.f64 1 (PI.f64))))))) (/.f64 (log.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 2 (/.f64 1 (PI.f64))))) (PI.f64))))>
#<alt (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 f (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (PI.f64) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 2 (/.f64 1 (PI.f64))))))) (*.f64 1/2 (/.f64 (*.f64 f (+.f64 (*.f64 -2 (/.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (+.f64 (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/12 (PI.f64)) (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2)))))) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 2 (/.f64 1 (PI.f64)))))) (*.f64 -1 (/.f64 (pow.f64 (+.f64 1/2 (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))) 2) (pow.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 2 (/.f64 1 (PI.f64)))) 2))))) (PI.f64))))) (/.f64 (log.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 2 (/.f64 1 (PI.f64))))) (PI.f64))))>
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#<alt (/.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))>
#<alt (/.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))>
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#<alt (/.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))>
#<alt (/.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))>
#<alt (/.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
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#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<alt (/.f64 4 (*.f64 f (PI.f64)))>
#<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))) (*.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 (pow.f64 f 2) (+.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 -1/8 (PI.f64)) (+.f64 (*.f64 1/12 (PI.f64)) (*.f64 f (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))))))>
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#<alt (*.f64 -4 (/.f64 (log.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64)))>
#<alt (-.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))) (*.f64 8 (/.f64 1 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))))))))>
#<alt (-.f64 (+.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))) (/.f64 8 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2))))) (/.f64 8 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))))))>
#<alt (-.f64 (+.f64 (*.f64 -4 (/.f64 (log.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)))) (PI.f64))) (*.f64 8 (/.f64 1 (*.f64 (pow.f64 f 2) (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 2)))))) (+.f64 (*.f64 32/3 (/.f64 1 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))) 3))))) (/.f64 8 (*.f64 f (*.f64 (pow.f64 (PI.f64) 2) (+.f64 1/2 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1))))))))>
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#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 2 (*.f64 f (PI.f64)))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 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 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
Calls

30 calls:

TimeVariablePointExpression
29.0ms
f
@inf
(/ (log (+ (/ 1 (- (exp (* f (* (PI) 1/2))) 1)) (pow (sqrt (/ -1 (- (exp (* (PI) (* f -1/2))) 1))) 2))) (PI))
26.0ms
f
@-inf
(/ (log (+ (/ 1 (- (exp (* f (* (PI) 1/2))) 1)) (pow (sqrt (/ -1 (- (exp (* (PI) (* f -1/2))) 1))) 2))) (PI))
18.0ms
f
@-inf
(/ (log (/ 4 (* (PI) f))) (PI))
9.0ms
f
@inf
(/ (log (/ 4 (* (PI) f))) (PI))
7.0ms
f
@0
(/ (log (/ 4 (* (PI) f))) (PI))

rewrite143.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
340×log1p-expm1-u
336×expm1-log1p-u
331×add-exp-log
328×add-sqr-sqrt
327×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053371
1905371
Stop Event
1×node limit
Counts
17 → 318
Calls
Call 1
Inputs
(PI.f64)
(pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2)
(/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (PI.f64))
(PI.f64)
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))
(PI.f64)
(*.f64 1/12 (PI.f64))
(*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))
(PI.f64)
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(PI.f64)
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
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 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) 1)
(*.f64 -1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(*.f64 1 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2))) (cbrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(/.f64 1 (neg.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(/.f64 1 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) -1))
(/.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -1)) (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(sqrt.f64 (/.f64 1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))))
(cbrt.f64 (/.f64 -1 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 3)))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))) 1)
(*.f64 1 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)) 2))
(log.f64 (pow.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.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)))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))))
(log1p.f64 (expm1.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)))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (+.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (PI.f64))) 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 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (/.f64 (*.f64 (PI.f64) f) 4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/24))) 1)
(*.f64 (PI.f64) -1/24)
(*.f64 1 (*.f64 (PI.f64) -1/24))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/24)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) (sqrt.f64 (*.f64 (PI.f64) -1/24)))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) -1/8) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/1728)) (+.f64 (pow.f64 (*.f64 (PI.f64) -1/8) 2) (-.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (*.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) -1/8) 2) (pow.f64 (*.f64 (PI.f64) 1/12) 2)) (-.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)))
(pow.f64 (*.f64 (PI.f64) -1/24) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/24)) 2)
(sqrt.f64 (pow.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 (PI.f64) -1/8 (*.f64 (PI.f64) 1/12))
(fma.f64 (PI.f64) 1/12 (*.f64 (PI.f64) -1/8))
(fma.f64 1 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12))
(fma.f64 1 (*.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) 1/12)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) -1/8))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) -1/8)) (*.f64 (PI.f64) 1/12))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) (sqrt.f64 (*.f64 (PI.f64) 1/12)) (*.f64 (PI.f64) -1/8))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) -1/8)) (sqrt.f64 (*.f64 (PI.f64) -1/8)) (*.f64 (PI.f64) 1/12))
(-.f64 (exp.f64 (log1p.f64 (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 (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)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2))
(log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/1728))
(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)
(sqrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/24)))))
(cbrt.f64 (pow.f64 (*.f64 f (*.f64 (PI.f64) -1/24)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (*.f64 (PI.f64) -1/24) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -1/24) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (*.f64 (PI.f64) -1/24))))
(log1p.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/24))))
(exp.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) -1/24))))
(exp.f64 (*.f64 (log.f64 (*.f64 f (*.f64 (PI.f64) -1/24))) 1))
(fma.f64 f (*.f64 (PI.f64) -1/8) (*.f64 f (*.f64 (PI.f64) 1/12)))
(fma.f64 (*.f64 (PI.f64) -1/8) f (*.f64 (*.f64 (PI.f64) 1/12) f))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 1 (PI.f64))
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(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
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(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 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f))))) -4) (PI.f64))
(pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 2))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (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 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f))))) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) f)))) 1)
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) f))) 3)
(pow.f64 (/.f64 8 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 f (/.f64 2 (PI.f64))) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) f)))))
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (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 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (neg.f64 (PI.f64)))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (/.f64 (*.f64 (PI.f64) f) 4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))

simplify210.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
920×associate-*r*
806×associate-*l*
670×fma-define
598×exp-prod
526×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063914281
1160113287
2618212900
Stop Event
1×node limit
Counts
426 → 305
Calls
Call 1
Inputs
(*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 f (PI.f64))))
(/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 -1/2 (*.f64 f (pow.f64 (sqrt.f64 -1) 2)))) f)
(/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2)))))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))) f)
(/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 f (-.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/96 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2)))))))))) (+.f64 (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2)))))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))) f)
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
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(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))) 1)
(/.f64 (*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f))))) -4) (PI.f64))
(pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 2))
(log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (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 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f))))) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (+.f64 1/2 (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) f)))) 1)
(*.f64 1 (/.f64 2 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(*.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) f))) (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (*.f64 (PI.f64) f))) 3)
(pow.f64 (/.f64 8 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 f (/.f64 2 (PI.f64))) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) f)))))
(cbrt.f64 (/.f64 8 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (*.f64 (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 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (neg.f64 (PI.f64)))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(*.f64 1 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (/.f64 (*.f64 (PI.f64) f) 4) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))
Outputs
(*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 f (PI.f64))))
(/.f64 (/.f64 2 (PI.f64)) f)
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 -1/2 (*.f64 f (pow.f64 (sqrt.f64 -1) 2)))) f)
(/.f64 (+.f64 (*.f64 -1/2 (*.f64 -1 f)) (/.f64 2 (PI.f64))) f)
(/.f64 (+.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)) f)
(/.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2)))))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))) f)
(/.f64 (+.f64 (*.f64 f (fma.f64 -1 (*.f64 f (*.f64 (neg.f64 (PI.f64)) 1/24)) 1/2)) (/.f64 2 (PI.f64))) f)
(/.f64 (fma.f64 f (fma.f64 (neg.f64 f) (*.f64 (PI.f64) -1/24) 1/2) (/.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 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 f (-.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 -1) 2))) (+.f64 (*.f64 1/96 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2)))))))))) (+.f64 (*.f64 -1/12 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2))) (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 (sqrt.f64 -1) 2)))))) (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2))))) f)
(/.f64 (+.f64 (*.f64 f (fma.f64 f (-.f64 (neg.f64 (*.f64 f (fma.f64 -1/48 (*.f64 -1 (pow.f64 (PI.f64) 2)) (fma.f64 1/96 (*.f64 -1 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (neg.f64 (PI.f64)) 1/24))))))) (*.f64 (neg.f64 (PI.f64)) 1/24)) 1/2)) (/.f64 2 (PI.f64))) f)
(/.f64 (fma.f64 f (fma.f64 f (+.f64 (*.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) -1/24)) (*.f64 (neg.f64 (pow.f64 (PI.f64) 2)) -1/96)) (neg.f64 f)) (*.f64 (PI.f64) 1/24)) 1/2) (/.f64 2 (PI.f64))) f)
(/.f64 (fma.f64 f (fma.f64 f (-.f64 (*.f64 (PI.f64) -1/24) (*.f64 f (+.f64 (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) -1/24)) (*.f64 (neg.f64 (pow.f64 (PI.f64) 2)) -1/96)))) 1/2) (/.f64 2 (PI.f64))) f)
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(/.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1))
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(/.f64 -1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) -1/2))))
(/.f64 (+.f64 (log.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 2 (/.f64 1 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (+.f64 (/.f64 2 (PI.f64)) (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (*.f64 2 (/.f64 2 (PI.f64)))) (log.f64 f)) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (*.f64 -1 (/.f64 (*.f64 f (+.f64 1/2 (*.f64 1/2 (pow.f64 (sqrt.f64 -1) 2)))) (*.f64 (PI.f64) (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 2 (/.f64 1 (PI.f64))))))) (/.f64 (log.f64 (+.f64 (*.f64 -2 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (PI.f64))) (*.f64 2 (/.f64 1 (PI.f64))))) (PI.f64))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 f (PI.f64)) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(-.f64 (+.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1)
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 1))
(+.f64 1 (-.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))

eval364.0ms (1.3%)

Compiler

Compiled 18619 to 13725 computations (26.3% saved)

prune150.0ms (0.5%)

Pruning

28 alts after pruning (23 fresh and 5 done)

PrunedKeptTotal
New6359644
Fresh71421
Picked145
Done213
Total64528673
Accuracy
99.8%
Counts
673 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.5%
(/.f64 (*.f64 -4 (log.f64 (+.f64 -1/2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
96.0%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
96.0%
(*.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 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
95.2%
(*.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 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
▶95.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
95.1%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
3.3%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (/.f64 -4 (PI.f64)))
6.1%
(*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
✓99.1%
(*.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)))
✓96.0%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
98.8%
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 2))
96.1%
(*.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1)) (PI.f64)))
▶96.1%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
95.6%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓96.1%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
98.2%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (pow.f64 (sqrt.f64 (PI.f64)) 2)))
97.4%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))))
✓99.3%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (PI.f64)))
96.1%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)) f))) (PI.f64)))
▶96.8%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (PI.f64)))
95.0%
(*.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
96.0%
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
▶96.0%
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
95.9%
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
96.0%
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
▶99.2%
(*.f64 -4 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
✓94.8%
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
94.9%
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
Compiler

Compiled 1077 to 883 computations (18% saved)

localize2.9s (10.1%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
✓99.4%
(/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)
99.0%
(*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))
98.4%
(*.f64 1/12 (PI.f64))
97.5%
(+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))
✓99.5%
(/.f64 (log.f64 f) (PI.f64))
✓99.5%
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
96.9%
(log.f64 (/.f64 4 (PI.f64)))
99.4%
(/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)
99.4%
(/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f)
✓99.4%
(+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))
✓99.3%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
✓99.4%
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
✓99.4%
(/.f64 (/.f64 4 (PI.f64)) f)
✓99.6%
(*.f64 (PI.f64) (*.f64 f -1/2))
✓99.6%
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
99.6%
(/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
✓92.3%
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
Compiler

Compiled 643 to 464 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.2s
Operation ival-mult, time spent: 914.0ms, 41.0% of total-time
Operation ival-div, time spent: 320.0ms, 14.0% of total-time
Operation composed, time spent: 259.0ms, 12.0% of total-time
Operation ival-log, time spent: 242.0ms, 11.0% of total-time
Operation ival-exp, time spent: 150.0ms, 7.0% of total-time
Operation ival-add, time spent: 142.0ms, 6.0% of total-time
Operation ival-pow, time spent: 91.0ms, 4.0% of total-time
Operation ival-sub, time spent: 69.0ms, 3.0% of total-time
Operation const, time spent: 59.0ms, 3.0% of total-time
Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series117.0ms (0.4%)

Counts
10 → 110
Calls
Call 1
Inputs
#<alt (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))>
#<alt (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))>
#<alt (*.f64 (PI.f64) (*.f64 f -1/2))>
#<alt (/.f64 (/.f64 4 (PI.f64)) f)>
#<alt (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))>
#<alt (*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))>
#<alt (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))>
#<alt (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))>
#<alt (/.f64 (log.f64 f) (PI.f64))>
#<alt (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)>
Outputs
#<alt (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))>
#<alt (+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 1/4 (*.f64 (pow.f64 f 2) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))>
#<alt (+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/4 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))) (*.f64 1/4 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))))>
#<alt (+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/4 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))) (*.f64 f (+.f64 (*.f64 1/4 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 1/32 (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 1/24 (/.f64 (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3))))))))) (PI.f64)))))))))))>
#<alt (exp.f64 (/.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 (exp.f64 (/.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 (exp.f64 (/.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 (exp.f64 (/.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 (exp.f64 (/.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 (exp.f64 (/.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 (exp.f64 (/.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 (exp.f64 (/.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 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))>
#<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 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 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))>
#<alt (*.f64 -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 (neg.f64 (*.f64 4 (/.f64 1 (PI.f64))))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 4 (/.f64 1 (PI.f64))))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 4 (/.f64 1 (PI.f64))))) (log.f64 (/.f64 -1 f))) (PI.f64)))>
#<alt (*.f64 -4 (/.f64 (+.f64 (log.f64 (neg.f64 (*.f64 4 (/.f64 1 (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 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))>
#<alt (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))>
#<alt (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))>
#<alt (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))>
#<alt (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))>
#<alt (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))>
#<alt (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))>
#<alt (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))>
#<alt (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))>
#<alt (/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 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 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))>
#<alt (*.f64 f (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) (*.f64 1/2 (/.f64 1 f))))>
#<alt (*.f64 f (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 1 f)) (/.f64 2 (*.f64 (pow.f64 f 2) (PI.f64))))))>
#<alt (*.f64 f (+.f64 (*.f64 -1 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 1 f)) (/.f64 2 (*.f64 (pow.f64 f 2) (PI.f64))))))>
#<alt (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))>
#<alt (*.f64 -1 (*.f64 f (-.f64 (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))) (*.f64 1/2 (/.f64 1 f)))))>
#<alt (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 (*.f64 f (PI.f64))))) f)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))>
#<alt (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (*.f64 2 (/.f64 1 (*.f64 f (PI.f64))))) f)) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))>
Calls

30 calls:

TimeVariablePointExpression
68.0ms
f
@0
(* (log (+ (/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f) (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f))) (/ -4 (PI)))
22.0ms
f
@-inf
(* (log (+ (/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f) (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f))) (/ -4 (PI)))
10.0ms
f
@inf
(* (log (+ (/ (+ (* -1/2 f) (* 2 (/ 1 (PI)))) f) (/ (+ (* 1/2 f) (* 2 (/ 1 (PI)))) f))) (/ -4 (PI)))
2.0ms
f
@0
(pow (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))) (/ 1 (PI)))
1.0ms
f
@inf
(pow (+ (/ 1 (- (exp (* (PI) (* f 1/2))) 1)) (/ -1 (- (exp (* (PI) (* f -1/2))) 1))) (/ 1 (PI)))

rewrite128.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
454×log1p-expm1-u
452×expm1-log1p-u
443×add-exp-log
439×add-log-exp
421×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056415
11026413
Stop Event
1×node limit
Counts
10 → 230
Calls
Call 1
Inputs
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(*.f64 (PI.f64) (*.f64 f -1/2))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(/.f64 (log.f64 f) (PI.f64))
(/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f)
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64))))) 1)
(*.f64 1 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64))) 2)) (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))) (sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
(*.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 (/.f64 1 (PI.f64)) 2)) (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 (/.f64 1 (PI.f64)) 2)))
(*.f64 (pow.f64 1 (/.f64 1 (PI.f64))) (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2)) (/.f64 1 (PI.f64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 1 (PI.f64))) (pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 1 (PI.f64))))
(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64))))))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
(exp.f64 (*.f64 (/.f64 1 (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))))))))
(exp.f64 (*.f64 (*.f64 (/.f64 1 (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))))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 2) -1) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1))
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) 2)
(pow.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 1) -1)
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
(pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 2)
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/8 (pow.f64 f 3))))
(cbrt.f64 (*.f64 (*.f64 -1/8 (pow.f64 f 3)) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(*.f64 1 (/.f64 4 (*.f64 f (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1))
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (*.f64 (/.f64 (log.f64 f) (PI.f64)) 1))) (fma.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 1 (*.f64 (/.f64 (log.f64 f) (PI.f64)) 1)))
(+.f64 (fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f)))) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))
(+.f64 (fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 (log.f64 f) (PI.f64)) 1))) (fma.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 1 (*.f64 (/.f64 (log.f64 f) (PI.f64)) 1)))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f)))) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))
(+.f64 (fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (*.f64 (/.f64 (log.f64 f) (PI.f64)) 1))) (fma.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 1 (*.f64 (/.f64 (log.f64 f) (PI.f64)) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f)))) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))
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(+.f64 (fma.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (*.f64 (/.f64 1 (PI.f64)) (log.f64 f)))) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (*.f64 (/.f64 1 (PI.f64)) (log.f64 f))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 1))
(fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (+.f64 (/.f64 (fma.f64 f -1/2 (/.f64 2 (PI.f64))) f) (/.f64 (fma.f64 f 1/2 (/.f64 2 (PI.f64))) f)) (/.f64 -4 (PI.f64)))))) 1)
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64)))) 1)
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simplify207.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1692×distribute-lft-in
566×associate-*r*
494×associate-*l*
476×fma-neg
472×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063118338
1145515879
2456714674
Stop Event
1×node limit
Counts
340 → 320
Calls
Call 1
Inputs
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 1))
(fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64)))) 1)
(*.f64 1 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (log.f64 f) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))))
(pow.f64 (/.f64 (log.f64 f) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 f)) -1)
(log.f64 (pow.f64 f (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 f) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 f) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))) 1)
(*.f64 1 (/.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 (fma.f64 -1 (*.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 (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)) 2) (cbrt.f64 (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)) (sqrt.f64 (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)))
(pow.f64 (/.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 (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 (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 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)) 2)
(pow.f64 (/.f64 f (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64)))) -1)
(log.f64 (exp.f64 (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 f (fma.f64 -1 (*.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 (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)))
(exp.f64 (log.f64 (/.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 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)) 1))
Outputs
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 1/4 (*.f64 (pow.f64 f 2) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (*.f64 (*.f64 1/4 (pow.f64 f 2)) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)))))
(fma.f64 1/4 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (*.f64 (PI.f64) 1/12) (pow.f64 f 2))) (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/4 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))))) (*.f64 1/4 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (*.f64 1/4 (+.f64 (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))) (*.f64 (*.f64 -1/4 (PI.f64)) (*.f64 (PI.f64) -1/24))))) (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)))))))
(fma.f64 (pow.f64 f 2) (*.f64 1/4 (fma.f64 f (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 1/4 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) (*.f64 (pow.f64 (PI.f64) 2) -1/24)))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (PI.f64) 1/12)))) (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 (pow.f64 f 2) (*.f64 1/4 (fma.f64 f (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 1/4 (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) -1/24)))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (PI.f64) 1/12)))) (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (+.f64 (*.f64 1/4 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))) (*.f64 f (+.f64 (*.f64 1/4 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))))))) (*.f64 f (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (*.f64 1/32 (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 1/24 (/.f64 (+.f64 (*.f64 -3/4 (*.f64 (pow.f64 (PI.f64) 2) (pow.f64 (-.f64 (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64)))) 2))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64))))) (+.f64 (*.f64 -1/960 (pow.f64 (PI.f64) 3)) (+.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (+.f64 (*.f64 1/96 (pow.f64 (PI.f64) 2)) (*.f64 1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/12 (PI.f64)) (*.f64 1/8 (PI.f64)))))))))))) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/4 (*.f64 (PI.f64) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/96 (pow.f64 (PI.f64) 2)))))) (+.f64 (*.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 2) (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) (+.f64 (*.f64 -1/384 (pow.f64 (PI.f64) 3)) (*.f64 1/960 (pow.f64 (PI.f64) 3))))))))) (PI.f64)))))))))))
(+.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (*.f64 (pow.f64 f 2) (fma.f64 1/4 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24))) (*.f64 f (fma.f64 1/4 (*.f64 (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))) (-.f64 (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24))) (*.f64 (*.f64 -1/4 (PI.f64)) (*.f64 (PI.f64) -1/24)))) (*.f64 (*.f64 f (exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))) (fma.f64 1/32 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)) 2) (*.f64 1/24 (/.f64 (fma.f64 -3/4 (*.f64 (pow.f64 (-.f64 (*.f64 (PI.f64) 1/24) (*.f64 (PI.f64) -1/24)) 2) (pow.f64 (PI.f64) 2)) (*.f64 (*.f64 6 (PI.f64)) (-.f64 (fma.f64 -1/24 (*.f64 (*.f64 (PI.f64) 1/24) (pow.f64 (PI.f64) 2)) (fma.f64 -1/960 (pow.f64 (PI.f64) 3) (fma.f64 1/384 (pow.f64 (PI.f64) 3) (*.f64 (*.f64 1/4 (PI.f64)) (+.f64 (*.f64 (pow.f64 (PI.f64) 2) -1/96) (*.f64 1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) 1/24)))))))) (fma.f64 -1/4 (*.f64 (PI.f64) (fma.f64 -1/4 (*.f64 (PI.f64) (*.f64 (PI.f64) -1/24)) (*.f64 (pow.f64 (PI.f64) 2) -1/96))) (fma.f64 -1/24 (*.f64 (*.f64 (PI.f64) -1/24) (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) -1/640)))))) (PI.f64))))))))))
(fma.f64 (pow.f64 f 2) (fma.f64 f (fma.f64 f (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (fma.f64 1/32 (pow.f64 (*.f64 (PI.f64) 1/12) 2) (*.f64 1/24 (/.f64 (fma.f64 -3/4 (*.f64 (*.f64 (PI.f64) 1/12) (*.f64 1/12 (pow.f64 (PI.f64) 3))) (*.f64 6 (*.f64 (PI.f64) (-.f64 (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 3) 1/24) (+.f64 (*.f64 1/4 (*.f64 (PI.f64) (fma.f64 (pow.f64 (PI.f64) 2) -1/96 (*.f64 1/4 (*.f64 (pow.f64 (PI.f64) 2) 1/24))))) (*.f64 (pow.f64 (PI.f64) 3) 1/640))) (fma.f64 -1/4 (+.f64 (*.f64 -1/4 (*.f64 -1/24 (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (PI.f64) 3) -1/96)) (fma.f64 -1/24 (*.f64 -1/24 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/640))))))) (PI.f64))))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (*.f64 1/4 (+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) (*.f64 (pow.f64 (PI.f64) 2) -1/24))) 1/4))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (*.f64 (PI.f64) 1/12) 1/4))) (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(fma.f64 (pow.f64 f 2) (fma.f64 f (fma.f64 f (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (fma.f64 1/24 (/.f64 (fma.f64 -3/4 (*.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) (pow.f64 (PI.f64) 2)) (*.f64 (fma.f64 -1/24 (*.f64 (pow.f64 (PI.f64) 3) 1/24) (+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/640) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 2) -1/96 (*.f64 1/4 (*.f64 1/24 (pow.f64 (PI.f64) 2)))) (*.f64 (PI.f64) 1/4) (-.f64 (*.f64 1/4 (+.f64 (*.f64 -1/4 (*.f64 -1/24 (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (PI.f64) 3) -1/96))) (fma.f64 -1/24 (*.f64 -1/24 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/640)))))) (*.f64 (PI.f64) 6))) (PI.f64)) (*.f64 1/32 (*.f64 (pow.f64 (PI.f64) 2) 1/144)))) (*.f64 (*.f64 1/4 (*.f64 1/4 (+.f64 (*.f64 1/24 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) -1/24)))) (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (*.f64 (*.f64 (PI.f64) 1/12) 1/4))) (exp.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(exp.f64 (/.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)))
(exp.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)))))) (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
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(*.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 (/.f64 1 (PI.f64)) 2)) (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 (/.f64 1 (PI.f64)) 2)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (*.f64 2 (/.f64 1 (*.f64 2 (PI.f64)))))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 2 (*.f64 (PI.f64) 2)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 2 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 1 (/.f64 1 (PI.f64))) (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64))))
(exp.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)))))) (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2)) (/.f64 1 (PI.f64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (/.f64 1 (PI.f64))))
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(log.f64 (exp.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
(exp.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)))))) (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64))))))
(exp.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)))))) (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64))) 3))
(exp.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)))))) (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
(exp.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)))))) (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(exp.f64 (*.f64 (/.f64 1 (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))))))))
(exp.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)))))) (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(exp.f64 (*.f64 (*.f64 (/.f64 1 (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))))))) 1))
(exp.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)))))) (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))) 1)
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(*.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -2)) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -2)) (cbrt.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))))
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(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1) (pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -1))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) -2)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) -2)
(pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) 1)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -3) 1/3)
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -3))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))) -3))
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(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
(pow.f64 (/.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) 1) -1)
(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))
(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
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(exp.f64 (neg.f64 (log.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))
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(/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))) 1)
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(*.f64 (PI.f64) (*.f64 f -1/2))
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(*.f64 (PI.f64) (*.f64 f -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))
(*.f64 (PI.f64) (*.f64 f -1/2))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f -1/2)) 3))
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(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 -1/8 (pow.f64 f 3))))
(*.f64 (PI.f64) (*.f64 f -1/2))
(cbrt.f64 (*.f64 (*.f64 -1/8 (pow.f64 f 3)) (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) (*.f64 f -1/2))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (PI.f64) (*.f64 f -1/2))
(exp.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))
(*.f64 (PI.f64) (*.f64 f -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f -1/2))) 1))
(*.f64 (PI.f64) (*.f64 f -1/2))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(*.f64 1 (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(/.f64 (/.f64 4 f) (PI.f64))
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(log.f64 (+.f64 1 (expm1.f64 (/.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 (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)
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f) 3))
(/.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)
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) 3) (pow.f64 f 3)))
(/.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)
(expm1.f64 (log1p.f64 (/.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 (fma.f64 f (+.f64 1/2 (*.f64 f (*.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 f (fma.f64 f (*.f64 (PI.f64) 1/24) 1/2) (/.f64 2 (PI.f64))) f)))
(log1p.f64 (expm1.f64 (/.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 (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)
(exp.f64 (log.f64 (/.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 (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)
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 f (fma.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24)) 1/2) (/.f64 2 (PI.f64))) f)) 1))
(/.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)

eval284.0ms (1%)

Compiler

Compiled 14116 to 10362 computations (26.6% saved)

prune121.0ms (0.4%)

Pruning

31 alts after pruning (22 fresh and 9 done)

PrunedKeptTotal
New4844488
Fresh01818
Picked145
Done055
Total48531516
Accuracy
99.8%
Counts
516 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.5%
(/.f64 (*.f64 -4 (log.f64 (+.f64 -1/2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
96.0%
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
96.0%
(*.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 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
95.2%
(*.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 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
✓95.9%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
95.1%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
3.3%
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (/.f64 -4 (PI.f64)))
6.1%
(*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
✓99.1%
(*.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)))
✓96.0%
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
95.9%
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) f)) -1/2) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
98.8%
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64))) 2))
96.1%
(*.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1)) (PI.f64)))
✓96.1%
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
95.6%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓96.1%
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
98.2%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (pow.f64 (sqrt.f64 (PI.f64)) 2)))
97.4%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))))
✓99.3%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (PI.f64)))
96.1%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)) f))) (PI.f64)))
47.5%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (-.f64 (*.f64 (PI.f64) -1/24) (/.f64 (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)) f)) (neg.f64 f)))) (PI.f64)))
30.5%
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 f (+.f64 (/.f64 1/2 f) (*.f64 (PI.f64) 1/24))))) (PI.f64)))
95.0%
(*.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
96.0%
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
✓96.0%
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
95.9%
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
96.0%
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
95.3%
(*.f64 -4 (log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
✓99.2%
(*.f64 -4 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
✓94.8%
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
94.9%
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
Compiler

Compiled 1686 to 1299 computations (23% saved)

regimes71.0ms (0.2%)

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

6 calls:

21.0ms
f
20.0ms
(*.f64 (/.f64 (PI.f64) 4) f)
7.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms
(/.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)))))
6.0ms
(*.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
99.3%1f
99.3%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))))))))
99.3%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)))))))
99.3%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))))))
99.3%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)))))
99.3%1(*.f64 (/.f64 (PI.f64) 4) f)
Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes39.0ms (0.1%)

Counts
42 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1)) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) f)) -1/2) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(/.f64 (*.f64 -4 (log.f64 (+.f64 -1/2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 f (+.f64 (/.f64 1/2 f) (*.f64 (PI.f64) 1/24))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)) f))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (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 (fma.f64 f (+.f64 -1/2 (*.f64 f (*.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (-.f64 (*.f64 (PI.f64) -1/24) (/.f64 (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)) f)) (neg.f64 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(*.f64 -4 (log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 -1 (expm1.f64 (*.f64 (*.f64 -1/2 f) (PI.f64)))))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (log.f64 (pow.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
Outputs
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
Calls

1 calls:

35.0ms
f
Results
AccuracySegmentsBranch
99.3%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes22.0ms (0.1%)

Counts
39 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1)) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) f)) -1/2) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(/.f64 (*.f64 -4 (log.f64 (+.f64 -1/2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 f (+.f64 (/.f64 1/2 f) (*.f64 (PI.f64) 1/24))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)) f))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (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 (fma.f64 f (+.f64 -1/2 (*.f64 f (*.f64 (PI.f64) 1/24))) (/.f64 2 (PI.f64))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (-.f64 (exp.f64 (*.f64 1/2 (*.f64 f (PI.f64)))) 1)) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 -1 (-.f64 (exp.f64 (*.f64 -1/2 (*.f64 f (PI.f64)))) 1)))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 (-.f64 (*.f64 (PI.f64) -1/24) (/.f64 (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)) f)) (neg.f64 f)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(*.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)))
(*.f64 -4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(*.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(*.f64 -4 (log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 2 (PI.f64)) f) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) (/.f64 1 (PI.f64)))))
Outputs
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (PI.f64)))
Calls

1 calls:

18.0ms
f
Results
AccuracySegmentsBranch
96.8%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes22.0ms (0.1%)

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

1 calls:

17.0ms
f
Results
AccuracySegmentsBranch
96.1%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0%)

Counts
21 → 1
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 -4 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64))))
(*.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 (log1p.f64 (+.f64 (/.f64 4 (*.f64 (PI.f64) f)) -1)) (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (+.f64 (/.f64 2 (*.f64 (PI.f64) f)) -1/2) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 -1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (*.f64 (PI.f64) -1/24))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 (+.f64 (*.f64 f (-.f64 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))) 1/2)) (*.f64 2 (/.f64 1 (PI.f64)))) f) (/.f64 (+.f64 (*.f64 1/2 f) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(*.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(/.f64 (*.f64 -4 (log.f64 (+.f64 -1/2 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))))) (PI.f64))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (/.f64 2 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 (PI.f64) f) 1/2))) (+.f64 1/2 (/.f64 (/.f64 2 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (*.f64 f (+.f64 (/.f64 1/2 f) (*.f64 (PI.f64) 1/24))))) (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
Calls

1 calls:

10.0ms
f
Results
AccuracySegmentsBranch
96.1%1f
Compiler

Compiled 2 to 1 computations (50% saved)

regimes10.0ms (0%)

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

1 calls:

9.0ms
f
Results
AccuracySegmentsBranch
96.1%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 4 (*.f64 (PI.f64) f))) (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
96.1%1f
Compiler

Compiled 2 to 1 computations (50% saved)

simplify19.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
54×*-commutative
36×+-commutative
20×sub-neg
18×neg-sub0
16×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072495
1107491
2118491
3129491
4152491
5164491
6172491
7175491
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)) f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
Outputs
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (pow.f64 (sqrt.f64 (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2))))) 2))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 -1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/2)))))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (*.f64 -1 (*.f64 f (+.f64 (*.f64 -1/8 (PI.f64)) (*.f64 1/12 (PI.f64))))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (*.f64 f (+.f64 1/2 (neg.f64 (*.f64 f (+.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12)))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (*.f64 f (-.f64 1/2 (*.f64 f (+.f64 (*.f64 (PI.f64) -1/8) (*.f64 (PI.f64) 1/12))))) (*.f64 2 (/.f64 1 (PI.f64)))) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (+.f64 (/.f64 1 (expm1.f64 (*.f64 f (*.f64 (PI.f64) 1/2)))) (/.f64 (+.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)) f))) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
Compiler

Compiled 143 to 116 computations (18.9% saved)

soundness1.5s (5.2%)

Rules
3700×fma-define
1678×fma-neg
1334×distribute-lft-in
1332×distribute-rgt-in
1034×fma-define
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
02975642
17535290
225635058
091619492
1224218907
2790118903
056535
11060535
063914281
1160113287
2618212900
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
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 617 to 485 computations (21.4% saved)

end0.0ms (0%)

preprocess118.0ms (0.4%)

Compiler

Compiled 350 to 268 computations (23.4% saved)

Profiling

Loading profile data...