Metrics for VandenBroeck and Keller, Equation (20)

analyze692.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
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
7.4%	3.5%	44.1%	0%	0%	28.1%	24.2%	9
7.8%	3.7%	43.9%	0%	0%	28.1%	24.2%	10
8%	3.8%	43.8%	0%	0%	28.1%	24.2%	11
8%	3.8%	43.8%	0%	0%	28.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 397.0ms

Operation ival-div, time spent: 117.0ms, 29.0% of total-time

Operation ival-mult, time spent: 102.0ms, 26.0% of total-time

Operation ival-exp, time spent: 62.0ms, 16.0% of total-time

Operation ival-neg, time spent: 40.0ms, 10.0% of total-time

Operation ival-log, time spent: 30.0ms, 8.0% of total-time

Operation const, time spent: 14.0ms, 4.0% of total-time

Operation ival-sub, time spent: 11.0ms, 3.0% of total-time

Operation ival-add, time spent: 11.0ms, 3.0% of total-time

Operation ival-pi, time spent: 10.0ms, 3.0% of total-time

sample19.7s (49.2%)

Results

7.5s	4202×	body	2	invalid
7.2s	4624×	body	2	valid
1.9s	1758×	body	1	valid
1.6s	1556×	body	1	invalid
1.0s	1874×	body	0	valid
531.0ms	1174×	body	0	invalid
1.0ms	2×	body	0	unsamplable

Precisions

Click to see histograms. Total time spent on operations: 12.4s

Operation ival-div, time spent: 2.8s, 23.0% of total-time

Operation ival-exp, time spent: 2.7s, 22.0% of total-time

Operation ival-mult, time spent: 2.4s, 19.0% of total-time

Operation ival-neg, time spent: 1.2s, 10.0% of total-time

Operation ival-add, time spent: 921.0ms, 7.0% of total-time

Operation ival-sub, time spent: 808.0ms, 7.0% of total-time

Operation ival-log, time spent: 750.0ms, 6.0% of total-time

Operation const, time spent: 364.0ms, 3.0% of total-time

Operation ival-pi, time spent: 352.0ms, 3.0% of total-time

Bogosity

preprocess2.7s (6.9%)

Algorithm

1×	egg-herbie

Rules

1554×	`fma-def`
850×	`associate-/l*`
696×	`associate-*r/`
536×	`cancel-sign-sub-inv`
520×	`distribute-lft-in`

Problems

247×	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
8×	`(/.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)))))`
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))))))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	528
2	262	484
3	772	484
4	2705	484

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)) (neg.f64 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)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4))))) (/.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)) (neg.f64 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)) (neg.f64 f))))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f) (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4))))) (/.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)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (neg.f64 (/.f64 4 (PI.f64))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)))) (/.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)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (.f64 1/4 (PI.f64))) f)) (-.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 f -4)) (pow.f64 (exp.f64 (*.f64 1/4 (PI.f64))) f)))))

Compiler

Compiled 236 to 175 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.5s

Operation ival-exp, time spent: 593.0ms, 39.0% of total-time

Operation ival-div, time spent: 392.0ms, 26.0% of total-time

Operation ival-mult, time spent: 202.0ms, 13.0% of total-time

Operation ival-sub, time spent: 87.0ms, 6.0% of total-time

Operation ival-neg, time spent: 77.0ms, 5.0% of total-time

Operation ival-add, time spent: 68.0ms, 5.0% of total-time

Operation ival-log, time spent: 53.0ms, 4.0% of total-time

Operation const, time spent: 33.0ms, 2.0% of total-time

Operation ival-pi, time spent: 5.0ms, 0.0% of total-time

eval3.0ms (0%)

Compiler: Compiled 169 to 118 computations (30.2% saved)

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.2%	(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
▶	5.2%	(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))))))))
▶	5.2%	(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
▶	5.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 142 to 108 computations (23.9% saved)

localize3.9s (9.7%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 (PI.f64) (/.f64 -4 f))
✓	99.4%	(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
✓	96.9%	(/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))
✓	10.3%	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.4%	(.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)))))))
✓	96.9%	(/.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)))))
✓	10.3%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 343 to 236 computations (31.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.6s

Operation ival-pow, time spent: 947.0ms, 36.0% of total-time

Operation ival-div, time spent: 528.0ms, 20.0% of total-time

Operation ival-exp, time spent: 471.0ms, 18.0% of total-time

Operation ival-mult, time spent: 198.0ms, 8.0% of total-time

Operation ival-add, time spent: 140.0ms, 5.0% of total-time

Operation ival-sub, time spent: 138.0ms, 5.0% of total-time

Operation ival-log, time spent: 88.0ms, 3.0% of total-time

Operation ival-neg, time spent: 67.0ms, 3.0% of total-time

Operation const, time spent: 56.0ms, 2.0% of total-time

Operation ival-pi, time spent: 7.0ms, 0.0% of total-time

series187.0ms (0.5%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
39.0ms	f	@	inf	(.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)))))))
37.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
32.0ms	f	@	-inf	(.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)))))))
22.0ms	f	@	inf	(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
22.0ms	f	@	-inf	(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))

rewrite178.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

424×	`associate-r`
290×	`associate-l`
252×	`add-exp-log`
250×	`add-log-exp`
249×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	224
1	583	224

Stop Event

1×	node limit

Counts

8 → 144

Calls

Call 1

Inputs
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
(*.f64 (/.f64 (PI.f64) 4) f)
(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))))
(/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))
(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(/.f64 (PI.f64) (/.f64 -4 f))

Outputs
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16

simplify111.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1438×	`fma-def`
1378×	`times-frac`
778×	`distribute-lft-in`
774×	`distribute-rgt-in`
654×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	7566
1	491	7110
2	1822	6504

Stop Event

1×	node limit

Counts

240 → 83

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64)))
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(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
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(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
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(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
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(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))
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(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
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(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) (.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (.f64 (PI.f64) 1/2) (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0))) (PI.f64)) (/.f64 (pow.f64 f 2) (/.f64 (PI.f64) (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))))))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (+.f64 (/.f64 (.f64 (PI.f64) 0) (/.f64 (PI.f64) f)) (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (/.f64 (.f64 -2 (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (.f64 (PI.f64) 1/2) 2))) (.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 0))))))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (*.f64 2 (PI.f64))))) 0)) -2 0))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 (PI.f64) -1/4))
-16
-8
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0
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16
-16
-8
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-2
-1
-1/2
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0
1/16
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1
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8
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-16
-8
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-1/2
-1/4
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1/16
1/4
1/2
1
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-8
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-1/4
0
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0
1/16
1/4
1/2
1
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8
16
-16
-8
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-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
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8
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-16
-8
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16

eval80.0ms (0.2%)

Compiler: Compiled 4072 to 3046 computations (25.2% saved)

prune42.0ms (0.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	83	10	93

Accuracy

96.4%

Counts

93 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.9%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
	95.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	5.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	95.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.9%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
▶	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	1.6%	(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)))) 16))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
▶	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
▶	95.9%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
	95.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	5.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	96.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	95.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.9%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
▶	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	1.6%	(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)))) 16))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
▶	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))

Compiler

Compiled 1064 to 852 computations (19.9% saved)

localize1.9s (4.7%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.6%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2)))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	97.0%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	99.6%	(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
✓	99.6%	(/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
✓	99.0%	(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
✓	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f))))
✓	98.4%	(fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (*.f64 2 (PI.f64))))
✓	98.4%	(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))

Compiler

Compiled 705 to 524 computations (25.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-mult, time spent: 337.0ms, 31.0% of total-time

Operation ival-div, time spent: 278.0ms, 26.0% of total-time

Operation ival-log, time spent: 127.0ms, 12.0% of total-time

Operation ival-sub, time spent: 109.0ms, 10.0% of total-time

Operation const, time spent: 66.0ms, 6.0% of total-time

Operation ival-add, time spent: 66.0ms, 6.0% of total-time

Operation ival-fma, time spent: 34.0ms, 3.0% of total-time

Operation ival-exp, time spent: 28.0ms, 3.0% of total-time

Operation ival-neg, time spent: 22.0ms, 2.0% of total-time

Operation ival-pi, time spent: 2.0ms, 0.0% of total-time

series213.0ms (0.5%)

Counts

18 → 147

Calls

45 calls:

Time	Variable		Point	Expression
73.0ms	f	@	0	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
28.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
23.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
17.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
15.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite175.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`log1p-expm1-u`
442×	`expm1-log1p-u`
439×	`add-exp-log`
433×	`add-log-exp`
432×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	703
1	1100	703

Stop Event

1×	node limit

Counts

18 → 351

Calls

Call 1

Inputs
(/.f64 1/192 (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (*.f64 2 (PI.f64))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2)))
(.f64 f (.f64 (PI.f64) 1/2))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))))) 1)
(*.f64 1/192 (/.f64 1 (/.f64 1/4 (PI.f64))))
(*.f64 1 (/.f64 1/192 (/.f64 1/4 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) 2)) (cbrt.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64)))) (sqrt.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64)))))
(pow.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64)))) 2)
(pow.f64 (/.f64 (/.f64 1/4 (PI.f64)) 1/192) -1)
(log.f64 (exp.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64)))))
(+.f64 (.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2) (.f64 1/8 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64))))) 1)
(.f64 1 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 2) (cbrt.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) (sqrt.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(pow.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))) 3)
(pow.f64 (pow.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))) 2)
(log.f64 (exp.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64))))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(exp.f64 (log.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))) 1)
(/.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 2)
(log.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) 3) (.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (*.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))) 1)
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))
(pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2)
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
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(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
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(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
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(pow.f64 (/.f64 f (/.f64 4 (PI.f64))) -1)
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 0 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1)
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(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
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(.f64 1 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64)))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))) 2) (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))))
(.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))) (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))))
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(pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))) 2))) (cbrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))))) (sqrt.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))))))
(log.f64 (exp.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))))))
(cbrt.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))))
(exp.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))) 1))
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(fma.f64 1 (.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64)))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))
(fma.f64 1 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))) (.f64 -1/4 (/.f64 (PI.f64) (*.f64 1/2 (PI.f64)))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))
(fma.f64 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) -1/4 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))) 2)) (cbrt.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))) (.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64)))))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64)))))))))) 1)
(/.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))) (*.f64 (PI.f64) 1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64)))))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64)))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))))) 2)
(log.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))) (/.f64 4 (PI.f64))) 1)))
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(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))))))
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(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))) 2)
(log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 3) (.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))) 1)
(.f64 1 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))
(.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 2) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (.f64 f (*.f64 1/2 (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 1/2 (PI.f64))))) 1)
(pow.f64 (.f64 f (.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (.f64 f (.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 f (.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 f (.f64 1/2 (PI.f64)))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (.f64 f (.f64 1/2 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 1/2 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (.f64 f (.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (.f64 f (.f64 1/2 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (.f64 f (.f64 1/2 (PI.f64)))))

simplify589.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-r`
1080×	`associate-l`
906×	`fma-def`
562×	`sqr-pow`
420×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	891	22677
1	2320	18559

Stop Event

1×	node limit

Counts

498 → 541

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 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3)))) (+.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 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
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(/.f64 (-.f64 (pow.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64)))) 2) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))) 2)) (-.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64)))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))))
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(pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))) 2)
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(log.f64 (exp.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))))
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(fma.f64 1 (.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64)))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))
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(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))
(fma.f64 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) -1/4 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))
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(/.f64 (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64))))))) (*.f64 (PI.f64) 1/4))
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(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64)))))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (*.f64 1/2 (PI.f64))))))))) 2)
(log.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 1/2 (PI.f64))) (/.f64 2 (.f64 f (.f64 1/2 (PI.f64)))))) (/.f64 4 (PI.f64))))
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(.f64 (/.f64 1 f) (/.f64 1 (.f64 1/2 (PI.f64))))
(.f64 (/.f64 1 (.f64 1/2 (PI.f64))) (/.f64 1 f))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 f (.f64 1/2 (PI.f64)))) 2) -1) (pow.f64 (cbrt.f64 (.f64 f (*.f64 1/2 (PI.f64)))) -1))
(.f64 (pow.f64 (sqrt.f64 (.f64 f (.f64 1/2 (PI.f64)))) -1) (pow.f64 (sqrt.f64 (.f64 f (*.f64 1/2 (PI.f64)))) -1))
(.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2)
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(pow.f64 (sqrt.f64 (.f64 f (.f64 1/2 (PI.f64)))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 1/2 (PI.f64))))))
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(exp.f64 (log.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64))))))
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(.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) -4) (/.f64 1 (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))) 2)
(pow.f64 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) -4)) -1)
(log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f) -4) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) -4) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))))
(+.f64 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64)))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (*.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 1 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64)))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (*.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) (neg.f64 (.f64 (log.f64 f) 1))) (fma.f64 (neg.f64 (log.f64 f)) 1 (.f64 (log.f64 f) 1)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) (neg.f64 (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (.f64 (cbrt.f64 (log.f64 f)) (pow.f64 (cbrt.f64 (log.f64 f)) 2))))
(.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f))) (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64)))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64)))) 2) (+.f64 (pow.f64 (log.f64 f) 2) (.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64)))) (log.f64 f)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64)))) 2) (pow.f64 (log.f64 f) 2)) (log.f64 (.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)))
(pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))) 2)
(log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f))) 1))
(log1p.f64 (-.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f) 1))
(fma.f64 1 (log.f64 (/.f64 2 (*.f64 1/2 (PI.f64)))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 1/2 (PI.f64))))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (neg.f64 (log.f64 (.f64 f (*.f64 1/2 (PI.f64))))))
(+.f64 0 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 2)) (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))) (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 f (*.f64 1/2 (PI.f64)))))
(-.f64 0 (log.f64 (/.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))) 1)
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (neg.f64 (.f64 f (*.f64 1/2 (PI.f64))))))
(-.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) f)) (log.f64 (.f64 1/2 (PI.f64))))
(.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))) 2) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))) 2)
(neg.f64 (log.f64 (/.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))) 1))
(log1p.f64 (-.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64)))))) 1)
(/.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) (.f64 (PI.f64) 1/4))
(pow.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))) 2)
(log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 3) (.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))) 1)
(.f64 1 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))
(.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 2) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (.f64 f (*.f64 1/2 (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 1/2 (PI.f64))))) 1)
(pow.f64 (.f64 f (.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (.f64 f (.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 f (.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 f (.f64 1/2 (PI.f64)))) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (.f64 f (.f64 1/2 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 1/2 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (.f64 f (.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (.f64 f (.f64 1/2 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 1/2 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (.f64 f (.f64 1/2 (PI.f64)))))

Outputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
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(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) f))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64)))))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) f))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) f))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) f))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64)))) 3))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) f))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (.f64 (pow.f64 (.f64 f (PI.f64)) -1) 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 2 (/.f64 1 (.f64 (PI.f64) f))) 3) (.f64 8 (pow.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 3))))
(cbrt.f64 (.f64 8 (.f64 (pow.f64 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))) 3) (pow.f64 (/.f64 (/.f64 2 (PI.f64)) f) 3))))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 3) (pow.f64 (.f64 f (*.f64 1/2 (PI.f64))) 3)))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) f))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) f))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) f))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (.f64 1/2 (PI.f64))))) 1))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) f))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (.f64 f (*.f64 1/2 (PI.f64))))))
(.f64 (/.f64 2 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))) f))
(-.f64 (exp.f64 (log1p.f64 (.f64 f (.f64 1/2 (PI.f64))))) 1)
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(pow.f64 (.f64 f (.f64 1/2 (PI.f64))) 1)
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(pow.f64 (cbrt.f64 (.f64 f (.f64 1/2 (PI.f64)))) 3)
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(pow.f64 (pow.f64 (.f64 f (.f64 1/2 (PI.f64))) 3) 1/3)
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(pow.f64 (sqrt.f64 (.f64 f (.f64 1/2 (PI.f64)))) 2)
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (PI.f64)) f))
(*.f64 f (log.f64 (pow.f64 (exp.f64 1/2) (PI.f64))))
(.f64 f (.f64 (PI.f64) (log.f64 (exp.f64 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 1/2 (PI.f64))))))
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(cbrt.f64 (pow.f64 (.f64 f (.f64 1/2 (PI.f64))) 3))
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 1/2 (PI.f64)) 3)))
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 (PI.f64)) 3) (pow.f64 f 3)))
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(expm1.f64 (log1p.f64 (.f64 f (.f64 1/2 (PI.f64)))))
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(exp.f64 (log.f64 (.f64 f (.f64 1/2 (PI.f64)))))
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 1/2 (PI.f64)))) 1))
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))
(log1p.f64 (expm1.f64 (.f64 f (.f64 1/2 (PI.f64)))))
(.f64 (.f64 (PI.f64) f) 1/2)
(.f64 (PI.f64) (.f64 1/2 f))

eval335.0ms (0.8%)

Compiler: Compiled 16291 to 12437 computations (23.7% saved)

prune156.0ms (0.4%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	541	26	567
Fresh	3	2	5
Picked	5	0	5
Done	0	0	0
Total	549	28	577

Accuracy

96.7%

Counts

577 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.4%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))) 3)
▶	94.1%	(/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) 3) 1/3) -4) (PI.f64))
	95.3%	(/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f))) 2) -4) (PI.f64))
	95.8%	(/.f64 (.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f) 1)) -4) (PI.f64))
	94.5%	(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))) -4) (PI.f64))
▶	94.5%	(/.f64 (.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))) -4) (PI.f64))
	95.7%	(/.f64 1 (/.f64 (PI.f64) (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	95.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	5.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	95.8%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
	95.7%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 2))
	78.5%	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2))
	94.6%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
▶	96.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
	95.7%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 f (.f64 1/2 (PI.f64)))))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	95.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
▶	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
	94.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
▶	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
	78.8%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
	94.9%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))))
	77.8%	(neg.f64 (expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))))
	95.4%	(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))
	95.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3))
	94.4%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))) 3)
▶	94.1%	(/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) 3) 1/3) -4) (PI.f64))
	95.3%	(/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f))) 2) -4) (PI.f64))
	95.8%	(/.f64 (.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f) 1)) -4) (PI.f64))
	94.5%	(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))) -4) (PI.f64))
▶	94.5%	(/.f64 (.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))) -4) (PI.f64))
	95.7%	(/.f64 1 (/.f64 (PI.f64) (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	95.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	5.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	95.8%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
	95.7%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 2))
	78.5%	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2))
	94.6%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
▶	96.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
	95.7%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 f (.f64 1/2 (PI.f64)))))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	95.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
▶	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
	94.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
▶	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
	78.8%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
	94.9%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))))
	77.8%	(neg.f64 (expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))))
	95.4%	(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))
	95.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3))

Compiler

Compiled 1900 to 1584 computations (16.6% saved)

localize961.0ms (2.4%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)
✓	3.1%	(PI.f64)

Compiler

Compiled 312 to 228 computations (26.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 578.0ms

Operation ival-log, time spent: 198.0ms, 34.0% of total-time

Operation ival-div, time spent: 139.0ms, 24.0% of total-time

Operation ival-mult, time spent: 136.0ms, 24.0% of total-time

Operation ival-pow, time spent: 39.0ms, 7.0% of total-time

Operation const, time spent: 30.0ms, 5.0% of total-time

Operation ival-fma, time spent: 16.0ms, 3.0% of total-time

Operation ival-exp, time spent: 11.0ms, 2.0% of total-time

Operation ival-neg, time spent: 5.0ms, 1.0% of total-time

Operation ival-pi, time spent: 4.0ms, 1.0% of total-time

series0.0ms (0%)

Counts: 5 → 0

rewrite122.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`prod-diff`
922×	`log-prod`
737×	`log1p-expm1-u`
737×	`expm1-log1p-u`
564×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	15
1	24	15
2	234	15
3	2380	15

Stop Event

1×	node limit

Counts

5 → 315

Calls

Call 1

Inputs
(PI.f64)
(PI.f64)
(PI.f64)
(PI.f64)
(PI.f64)

Outputs
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
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(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)

simplify125.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1654×	`log-prod`
1012×	`associate-+l+`
978×	`associate-+r+`
514×	`unswap-sqr`
446×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	4005
1	359	3805
2	1415	3725
3	6903	3725

Stop Event

1×	node limit

Counts

315 → 85

Calls

Call 1

Inputs
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(fabs.f64 (PI.f64))
(log.f64 (exp.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(+.f64 (PI.f64) 0)
(+.f64 (+.f64 (PI.f64) 1) -1)
(+.f64 0 (PI.f64))
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(-.f64 (+.f64 (PI.f64) 1) 1)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(.f64 2 (.f64 1/2 (PI.f64)))
(.f64 1/3 (.f64 3 (PI.f64)))
(.f64 3 (.f64 1/3 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(*.f64 (log.f64 (E.f64)) (PI.f64))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
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(log1p.f64 (expm1.f64 (PI.f64)))
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)

Outputs
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (*.f64 (expm1.f64 (PI.f64)) (+.f64 -1 (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(.f64 2 (.f64 1/2 (PI.f64)))
(PI.f64)
(.f64 1/3 (.f64 3 (PI.f64)))
(PI.f64)
(.f64 3 (.f64 1/3 (PI.f64)))
(PI.f64)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(PI.f64)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(PI.f64)
(*.f64 (log.f64 (E.f64)) (PI.f64))
(PI.f64)
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (PI.f64) 2))
(/.f64 (*.f64 (+.f64 (PI.f64) 2) (PI.f64)) (+.f64 (PI.f64) 2))
(/.f64 (+.f64 (PI.f64) 2) (/.f64 (+.f64 (PI.f64) 2) (PI.f64)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(PI.f64)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (*.f64 (expm1.f64 (PI.f64)) (+.f64 -1 (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(.f64 2 (.f64 1/2 (PI.f64)))
(PI.f64)
(.f64 1/3 (.f64 3 (PI.f64)))
(PI.f64)
(.f64 3 (.f64 1/3 (PI.f64)))
(PI.f64)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(PI.f64)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(PI.f64)
(*.f64 (log.f64 (E.f64)) (PI.f64))
(PI.f64)
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
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(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (PI.f64) 2))
(/.f64 (*.f64 (+.f64 (PI.f64) 2) (PI.f64)) (+.f64 (PI.f64) 2))
(/.f64 (+.f64 (PI.f64) 2) (/.f64 (+.f64 (PI.f64) 2) (PI.f64)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(PI.f64)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (*.f64 (expm1.f64 (PI.f64)) (+.f64 -1 (expm1.f64 (PI.f64))))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(.f64 2 (.f64 1/2 (PI.f64)))
(PI.f64)
(.f64 1/3 (.f64 3 (PI.f64)))
(PI.f64)
(.f64 3 (.f64 1/3 (PI.f64)))
(PI.f64)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(PI.f64)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(PI.f64)
(*.f64 (log.f64 (E.f64)) (PI.f64))
(PI.f64)
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5/2)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (PI.f64) 2))
(/.f64 (*.f64 (+.f64 (PI.f64) 2) (PI.f64)) (+.f64 (PI.f64) 2))
(/.f64 (+.f64 (PI.f64) 2) (/.f64 (+.f64 (PI.f64) 2) (PI.f64)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(PI.f64)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)

eval444.0ms (1.1%)

Compiler: Compiled 18886 to 13727 computations (27.3% saved)

prune227.0ms (0.6%)

Pruning

26 alts after pruning (21 fresh and 5 done)

	Pruned	Kept	Total
New	847	3	850
Fresh	5	18	23
Picked	0	5	5
Done	0	0	0
Total	852	26	878

Accuracy

96.8%

Counts

878 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.4%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))) 3)
✓	94.1%	(/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) 3) 1/3) -4) (PI.f64))
	95.3%	(/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f))) 2) -4) (PI.f64))
	95.8%	(/.f64 (.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f) 1)) -4) (PI.f64))
	94.5%	(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))) -4) (PI.f64))
✓	94.5%	(/.f64 (.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))) -4) (PI.f64))
	95.7%	(/.f64 1 (/.f64 (PI.f64) (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	95.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	5.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	95.8%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
▶	78.5%	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2))
	94.6%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
	92.6%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64)))) 1/4)))
	95.7%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/4)))
✓	96.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
▶	95.7%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	95.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
✓	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
	94.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
✓	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
▶	78.8%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
▶	95.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3))
	94.4%	(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))) 3)
✓	94.1%	(/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) 3) 1/3) -4) (PI.f64))
	95.3%	(/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f))) 2) -4) (PI.f64))
	95.8%	(/.f64 (.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f) 1)) -4) (PI.f64))
	94.5%	(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))) -4) (PI.f64))
✓	94.5%	(/.f64 (.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))) -4) (PI.f64))
	95.7%	(/.f64 1 (/.f64 (PI.f64) (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	95.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	5.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	95.8%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
▶	78.5%	(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2))
	94.6%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
	92.6%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64)))) 1/4)))
	95.7%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/4)))
✓	96.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
▶	95.7%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	95.7%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
✓	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
	94.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
✓	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
▶	78.8%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
▶	95.4%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3))

Compiler

Compiled 1582 to 1306 computations (17.4% saved)

localize749.0ms (1.9%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	99.3%	(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2)
	96.6%	(PI.f64)
✓	91.6%	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))
✓	83.0%	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
✓	99.4%	(/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)
✓	99.2%	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3))
✓	99.0%	(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3)
	96.6%	(PI.f64)
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
	96.6%	(PI.f64)
✓	91.6%	(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))
✓	83.0%	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
✓	99.6%	(*.f64 (PI.f64) f)
✓	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
	96.6%	(PI.f64)
✓	99.6%	(*.f64 (PI.f64) f)
✓	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.5%	(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
	96.6%	(PI.f64)

Compiler

Compiled 262 to 173 computations (34% saved)

Precisions

Click to see histograms. Total time spent on operations: 426.0ms

Operation ival-div, time spent: 152.0ms, 36.0% of total-time

Operation ival-log, time spent: 110.0ms, 26.0% of total-time

Operation ival-pow, time spent: 89.0ms, 21.0% of total-time

Operation ival-mult, time spent: 29.0ms, 7.0% of total-time

Operation const, time spent: 22.0ms, 5.0% of total-time

Operation ival-sqrt, time spent: 11.0ms, 3.0% of total-time

Operation ival-cbrt, time spent: 6.0ms, 1.0% of total-time

Operation ival-neg, time spent: 5.0ms, 1.0% of total-time

Operation ival-pi, time spent: 2.0ms, 0.0% of total-time

series68.0ms (0.2%)

Counts

14 → 168

Calls

42 calls:

Time	Variable		Point	Expression
20.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
19.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
15.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
2.0ms	f	@	0	(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3))
1.0ms	f	@	inf	(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3)

rewrite239.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1039×	`log1p-expm1-u`
536×	`expm1-udef`
536×	`log1p-udef`
276×	`associate-r`
238×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	394
1	497	394
2	5221	394

Stop Event

1×	node limit

Counts

14 → 537

Calls

Call 1

Inputs
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) f)
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3)
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3))
(/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1)
(*.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))
(.f64 4 (.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(*.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))
(.f64 2 (/.f64 1 (.f64 f (*.f64 (PI.f64) 1/2))))
(.f64 2 (.f64 (/.f64 2 (PI.f64)) (/.f64 1 f)))
(.f64 -4 (/.f64 1 (.f64 (PI.f64) (neg.f64 f))))
(*.f64 1 (/.f64 (/.f64 4 (PI.f64)) f))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 f) (PI.f64)) 4)
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 2 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 (/.f64 2 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
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(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1/4) (.f64 (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1/4) (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 4 (PI.f64))))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 1 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) (pow.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1/4)) (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 1/4))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (/.f64 2 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 4 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (.f64 (/.f64 4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) (cbrt.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))) (cbrt.f64 (sqrt.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (*.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))
(/.f64 (neg.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (neg.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2) (.f64 (PI.f64) 1/2))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -4) (neg.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) -2) (.f64 (PI.f64) -1/2))
(/.f64 (.f64 2 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 (PI.f64) 1/2))
(/.f64 (*.f64 -4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (neg.f64 (PI.f64)))
(/.f64 (.f64 -2 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (.f64 (PI.f64) -1/2))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(expm1.f64 (log1p.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(exp.f64 (log.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))) 1))

simplify396.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1310×	`fma-def`
1250×	`log-prod`
780×	`associate-r`
760×	`associate-l`
606×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	611	27688
1	1537	24194
2	6039	24194

Stop Event

1×	node limit

Counts

705 → 380

Calls

Call 1

Inputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.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 f (PI.f64))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.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 f (PI.f64))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))
(exp.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))
(exp.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))
(exp.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
(.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 3) (pow.f64 (PI.f64) 3)))
(.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 3) (pow.f64 (PI.f64) 3)))
(.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 3) (pow.f64 (PI.f64) 3)))
(.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 -64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))) (PI.f64))
(/.f64 (.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))) (PI.f64))
(/.f64 (.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))) (PI.f64))
(/.f64 (.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 -64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
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Outputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
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(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
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eval3.3s (8.2%)

Compiler: Compiled 94608 to 67744 computations (28.4% saved)

prune654.0ms (1.6%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	4824	9	4833
Fresh	7	9	16
Picked	5	0	5
Done	3	2	5
Total	4839	20	4859

Accuracy

96.8%

Counts

4859 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.8%	(/.f64 (.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f) 1)) -4) (PI.f64))
	95.8%	(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) 1/4))
	95.7%	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.8%	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	95.7%	(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
	5.2%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	95.4%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
	95.7%	(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
	95.7%	(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
	94.6%	(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	94.6%	(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	94.6%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
	92.6%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64)))) 1/4)))
	95.7%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/4)))
✓	96.1%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	95.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
✓	0.7%	(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
	80.7%	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))

Compiler

Compiled 1213 to 922 computations (24% saved)

regimes160.0ms (0.4%)

Counts

50 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) 1/4))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
(/.f64 (.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f) 1)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(*.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 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))) -4) (PI.f64))
(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)))) -4) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4)) 3))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f))) 2) -4) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 1/2 (PI.f64))) f)) (/.f64 (PI.f64) -4))) 3)
(/.f64 (.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f)) 3) 1/3) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (.f64 f (.f64 1/2 (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)))) 16))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (.f64 1/2 (/.f64 1/2 (PI.f64)))) -2 (.f64 1/16 (.f64 2 (PI.f64)))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))))
(neg.f64 (pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64))))) 2))
(neg.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 1/4)))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f)))))))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (fma.f64 f (fma.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -2 (.f64 1/8 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))) 2))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 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 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f))) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (exp.f64 (/.f64 (PI.f64) (/.f64 -4 f)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64)))) 1/4)))
(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))

Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))

Calls

6 calls:

35.0ms	f
28.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
11.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
10.0ms	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
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

Accuracy	Segments	Branch
96.1%	1	`f`
96.1%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
96.1%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
96.1%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
96.1%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
96.1%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1038 to 778 computations (25% saved)

regimes29.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) 1/4))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
(/.f64 (.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f) 1)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))

Outputs
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
95.9%	1	`f`

Compiler

Compiled 306 to 225 computations (26.5% saved)

regimes22.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 (PI.f64) 1/4))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 f (/.f64 4 (PI.f64)))))))
(/.f64 (.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 2 (.f64 1/2 (PI.f64))) f) 1)) -4) (PI.f64))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 4 (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))

Outputs
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))

Calls

1 calls:

15.0ms

Results

Accuracy	Segments	Branch
95.8%	1	`f`

Compiler

Compiled 279 to 206 computations (26.2% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))

Outputs
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
0.7%	1	`f`

Compiler

Compiled 10 to 9 computations (10% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
16×	`sub-neg`
16×	`+-commutative`
14×	`neg-mul-1`
14×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	164
1	57	164
2	75	164
3	87	164
4	93	164
5	94	164

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))

Outputs
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 f (PI.f64)))))) (*.f64 (PI.f64) 1/4))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (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)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 0) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 0) (PI.f64)))
(*.f64 4 (/.f64 (neg.f64 (log.f64 0)) (PI.f64)))

Compiler

Compiled 50 to 42 computations (16% saved)

soundness1.5s (3.8%)

Rules

1554×	`fma-def`
1438×	`fma-def`
1438×	`fma-def`
1378×	`times-frac`
1378×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	7566
1	491	7110
2	1822	6504
0	62	703
1	1100	703
0	891	22677
1	2320	18559
0	891	22677
1	2320	18559
0	33	584
1	98	528
2	262	484
3	772	484
4	2705	484
0	163	7566
1	491	7110
2	1822	6504
0	891	22677
1	2320	18559

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1001 to 742 computations (25.9% saved)

end0.0ms (0%)

preprocess62.0ms (0.2%)

Compiler: Compiled 170 to 130 computations (23.5% saved)

analyze692.0ms (1.7%)

sample19.7s (49.2%)

preprocess2.7s (6.9%)

eval3.0ms (0%)

prune4.0ms (0%)

localize3.9s (9.7%)

series187.0ms (0.5%)

rewrite178.0ms (0.4%)

simplify111.0ms (0.3%)

eval80.0ms (0.2%)

prune42.0ms (0.1%)

localize1.9s (4.7%)

series213.0ms (0.5%)

rewrite175.0ms (0.4%)

simplify589.0ms (1.5%)

eval335.0ms (0.8%)

prune156.0ms (0.4%)

localize961.0ms (2.4%)

series0.0ms (0%)

rewrite122.0ms (0.3%)

simplify125.0ms (0.3%)

eval444.0ms (1.1%)

prune227.0ms (0.6%)

localize749.0ms (1.9%)

series68.0ms (0.2%)

rewrite239.0ms (0.6%)

simplify396.0ms (1%)

eval3.3s (8.2%)

prune654.0ms (1.6%)

regimes160.0ms (0.4%)

regimes29.0ms (0.1%)

regimes22.0ms (0.1%)

regimes3.0ms (0%)

simplify6.0ms (0%)

soundness1.5s (3.8%)

end0.0ms (0%)

preprocess62.0ms (0.2%)

Profiling