Metrics for VandenBroeck and Keller, Equation (20)

analyze483.0ms (1.6%)

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
8.3%	3.9%	43.3%	0%	0%	28.5%	24.2%	9
8.7%	4.1%	43.1%	0%	0%	28.5%	24.2%	10
9.1%	4.3%	42.9%	0%	0%	28.6%	24.2%	11
9.1%	4.3%	42.8%	0%	0%	28.6%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 10.0ms

Operation ival-pi, total time spent: 10.0ms

Operation ival-neg, total time spent: 25.0ms

Operation ival-mult, total time spent: 63.0ms

Operation ival-log, total time spent: 21.0ms

Operation ival-exp, total time spent: 48.0ms

Operation ival-div, total time spent: 88.0ms

Operation ival-add, total time spent: 13.0ms

Operation const, total time spent: 11.0ms

sample14.5s (49%)

Results

4.6s	3944×	body	1024	invalid
4.6s	3908×	body	1024	valid
1.9s	2100×	body	512	valid
1.1s	1894×	body	512	invalid
909.0ms	1876×	body	256	valid
774.0ms	372×	body	2048	valid
482.0ms	1030×	body	256	invalid
1.0ms	5×	body	256	unsamplable

Precisions

Click to see histograms

Operation ival-sub, total time spent: 234.0ms

Operation ival-pi, total time spent: 279.0ms

Operation ival-neg, total time spent: 659.0ms

Operation ival-mult, total time spent: 2060.0ms

Operation ival-log, total time spent: 971.0ms

Operation ival-exp, total time spent: 2306.0ms

Operation ival-div, total time spent: 2150.0ms

Operation ival-add, total time spent: 284.0ms

Operation const, total time spent: 219.0ms

Bogosity

preprocess1.0s (3.4%)

Algorithm

1×	egg-herbie

Rules

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

Problems

245×	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
7×	`(/.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)))))`
3×	`(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))))))`
1×	No Errors

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

Operation ival-sub, total time spent: 18.0ms

Operation ival-pi, total time spent: 3.0ms

Operation ival-neg, total time spent: 47.0ms

Operation ival-mult, total time spent: 129.0ms

Operation ival-log, total time spent: 49.0ms

Operation ival-exp, total time spent: 183.0ms

Operation ival-div, total time spent: 163.0ms

Operation ival-add, total time spent: 18.0ms

Operation const, total time spent: 17.0ms

eval3.0ms (0%)

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

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	6.4%	(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)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	6.4%	(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)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

6.4%

(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)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

▶

6.4%

(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)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize893.0ms (3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	98.9%	(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)))))
✓	12.1%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 198 to 145 computations (26.8% saved)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 23.0ms

Operation ival-pi, total time spent: 3.0ms

Operation ival-neg, total time spent: 37.0ms

Operation ival-mult, total time spent: 124.0ms

Operation ival-log, total time spent: 48.0ms

Operation ival-exp, total time spent: 173.0ms

Operation ival-div, total time spent: 185.0ms

Operation ival-add, total time spent: 18.0ms

Operation const, total time spent: 17.0ms

series80.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
32.0ms	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 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
3.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
3.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

rewrite150.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`associate-r`
168×	`associate-l`
138×	`add-exp-log`
137×	`add-log-exp`
137×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
1	313	112
2	5540	112

Stop Event

1×

unsound

Counts

4 → 64

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)))))
(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 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)))))))

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

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1738×	`fma-def`
1344×	`times-frac`
820×	`distribute-lft-in`
814×	`distribute-rgt-in`
798×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	5001
1	467	4621
2	1870	4270

Stop Event

1×	node limit

Counts

112 → 75

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 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.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))))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.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)))))) (.f64 1/2 (.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))))))))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.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))))))))))) (+.f64 (.f64 1/2 (.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)))))) (.f64 1/2 (.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)))))))))))
(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))))))))
(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))))))))
(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))))))))
(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))))))))
(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))))))))
(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))))))))
(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))))))))
(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))))))))
(.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)))
(.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)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.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))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.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 (.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)))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.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))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.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))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.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))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.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))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.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))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.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))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.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))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.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))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64)))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) 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 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) 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 (.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 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (fma.f64 f (+.f64 (/.f64 (.f64 1/16 (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)))) (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))))
(+.f64 (fma.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (/.f64 (/.f64 2 f) (.f64 (PI.f64) 1/2))) 0)
(fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))
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(fma.f64 2 (.f64 (/.f64 f (PI.f64)) (.f64 (PI.f64) 0)) (fma.f64 2 (.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 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0))) (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))))))
(fma.f64 2 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (fma.f64 (PI.f64) (.f64 1/2 (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (.f64 1/16 (/.f64 (PI.f64) 1/2)))) 0)) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) 0))
(.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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.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 (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)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.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 (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)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.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 (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)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.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 (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)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.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 (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)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.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 (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)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.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 (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)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (pow.f64 (exp.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 (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)))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f -1/4)) (PI.f64))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (*.f64 f -1/4)) (PI.f64))))) 4) (PI.f64))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval74.0ms (0.2%)

Compiler: Compiled 3634 to 2755 computations (24.2% saved)

prune48.0ms (0.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	62	13	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	14	76

Accuracy

96.0%

Counts

76 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
	94.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
▶	94.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))
	95.2%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	6.4%	(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
✓	6.4%	(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)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
	94.5%	(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))))
	3.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 2))))
	94.5%	(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)))))))))))
	94.7%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
▶	6.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
▶	94.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
	94.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
▶	94.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
▶	95.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))
	95.2%	(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	6.4%	(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)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
✓	6.4%	(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)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
	94.5%	(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))))
	3.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 2))))
	94.5%	(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)))))))))))
	94.7%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
▶	6.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))

Compiler

Compiled 1596 to 1280 computations (19.8% saved)

localize4.0s (13.6%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))) (PI.f64))
✓	98.9%	(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))))))))
✓	96.9%	(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
✓	12.1%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
✓	99.9%	(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
✓	99.9%	(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	97.4%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))
✓	99.6%	(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.4%	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	100.0%	(log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))
✓	99.3%	(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
✓	99.3%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))
✓	98.4%	(pow.f64 (PI.f64) 5)
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	97.3%	(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 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))

Compiler

Compiled 776 to 538 computations (30.7% saved)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 45.0ms

Operation ival-pow, total time spent: 203.0ms

Operation ival-pi, total time spent: 4.0ms

Operation ival-neg, total time spent: 96.0ms

Operation ival-mult, total time spent: 480.0ms

Operation ival-log, total time spent: 578.0ms

Operation ival-fma, total time spent: 112.0ms

Operation ival-exp, total time spent: 428.0ms

Operation ival-div, total time spent: 450.0ms

Operation ival-add, total time spent: 116.0ms

Operation const, total time spent: 87.0ms

series267.0ms (0.9%)

Counts

19 → 148

Calls

45 calls:

Time	Variable		Point	Expression
116.0ms	f	@	inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))
31.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))
23.0ms	f	@	0	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
20.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))
16.0ms	f	@	-inf	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))

rewrite177.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

436×	`add-exp-log`
435×	`log1p-expm1-u`
435×	`expm1-log1p-u`
431×	`add-cube-cbrt`
430×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	60	763
1	1038	597

Stop Event

1×	node limit

Counts

19 → 395

Calls

Call 1

Inputs
(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 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
(log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(/.f64 4 (/.f64 (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)))) 16))
(*.f64 (/.f64 (PI.f64) 4) f)
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(-.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)))))))
(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))))))))
(/.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))

Outputs
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (/.f64 1 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2)))))))
(+.f64 0 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))) 2)) (log.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))) (log.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (log.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(-.f64 0 (log.f64 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (.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))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2)))))))) 1)
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))) (log.f64 (neg.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2)))))))
(.f64 1 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2)))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2)))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))) 2)
(neg.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (.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))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2)))))) 3))
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(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2) (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 2)) (cbrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1 (.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 2)) (cbrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2) (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1 (.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2) (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2))))
(.f64 1 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))
(.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 2) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 2) (exp.f64 (+.f64 (.f64 (.f64 1/4 f) (PI.f64)) (.f64 -1/4 (.f64 (PI.f64) f)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 2)) (.f64 2 (cosh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))
(pow.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(fma.f64 1 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 2)) (cbrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 1)
(.f64 1 (/.f64 1 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))
(.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) (/.f64 1 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 2) (cbrt.f64 (/.f64 1 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 2)
(pow.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))) -1)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3) (pow.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (log.f64 (/.f64 1 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(+.f64 0 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 2)) (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(-.f64 0 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))) 1)
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (log.f64 (neg.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(.f64 1 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 2) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))))
(pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 2)
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))) 1))
(log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)))) 1)
(.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) -1)
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))))

simplify290.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1332×	`fma-def`
708×	`sqr-pow`
678×	`distribute-lft-in`
670×	`distribute-rgt-in`
494×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1149	24877
1	3084	23579

Stop Event

1×	node limit

Counts

543 → 615

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (PI.f64) (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)) (.f64 3/2 (.f64 (PI.f64) (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))))))))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))))))))))
(+.f64 (log.f64 (.f64 61440 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 5)))) (.f64 5 (log.f64 (/.f64 1 f))))
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(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))
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(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f)) 2) (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) f)) (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) 1)
(pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)
(pow.f64 (exp.f64 (.f64 (PI.f64) 1/4)) (.f64 f 1))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) 3)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)) 2)
(pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 f))
(pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) (sqrt.f64 f)) (sqrt.f64 f))
(pow.f64 (exp.f64 1) (.f64 (.f64 (PI.f64) 1/4) f))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 2)) (cbrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (sqrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/4)) f)))
(+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(+.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (sqrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (neg.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 1 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2) (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 2))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 2)) (cbrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1 (.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 2)) (cbrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2) (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 1))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 1 (.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2) (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) 2))))
(.f64 1 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))
(.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 2) (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 2) (+.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 2) (exp.f64 (+.f64 (.f64 (.f64 1/4 f) (PI.f64)) (.f64 -1/4 (.f64 (PI.f64) f)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 2) (pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) 2)) (.f64 2 (cosh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))
(pow.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) 2)
(log.f64 (pow.f64 (exp.f64 2) (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))) 3))
(expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(exp.f64 (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(fma.f64 1 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (neg.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) 2)) (cbrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (sqrt.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f))) (neg.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 1)
(.f64 1 (/.f64 1 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))
(.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) (/.f64 1 (.f64 2 (sinh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 2) (cbrt.f64 (/.f64 1 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 2)
(pow.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))) -1)
(pow.f64 (exp.f64 1) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 2)) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3) (pow.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(exp.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (log.f64 (/.f64 1 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(+.f64 0 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 2)) (log.f64 (cbrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (log.f64 (sqrt.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))
(-.f64 0 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))))) 1)
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (log.f64 (neg.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(.f64 1 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 2) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))))
(pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 2)
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))) 1))
(log1p.f64 (-.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)))) 1)
(.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))) (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) -1)
(log.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))))

Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 1/2 (.f64 f (*.f64 (PI.f64) 0))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 1/2 (.f64 f 0)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (PI.f64) (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64)))))))))))
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(.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
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(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(pow.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2)))))) 3) 1/3)
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
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(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
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(neg.f64 (log.f64 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
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(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
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(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))))) 1))
(log.f64 (/.f64 2 (/.f64 (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2)))) (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
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(*.f64 (pow.f64 (PI.f64) 3) 1/192)
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(*.f64 (pow.f64 (PI.f64) 3) 1/192)
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(*.f64 (pow.f64 (PI.f64) 3) 1/192)
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(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
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(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
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(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 5)) (sqrt.f64 (pow.f64 (PI.f64) 5)))
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(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(pow.f64 (sqrt.f64 (PI.f64)) 10)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(pow.f64 (PI.f64) 5)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(pow.f64 (PI.f64) 5)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 5)
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 5)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))) 1)
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))) (PI.f64)))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 1)
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))) (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 3)
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))) (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 3) 1/3)
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))) (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 2)
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)) (.f64 (/.f64 1 (PI.f64)) 4)))
(.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (/.f64 4 (PI.f64)))
(.f64 (log.f64 (.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))))
(/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))
(.f64 4 (/.f64 (log.f64 (.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))) (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)) 3))
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(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
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(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
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(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
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(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 3)
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 3) 1/3)
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))) 2)
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) 3))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
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(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
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(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64)))) 1)
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
(.f64 1 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (/.f64 1 (PI.f64)))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
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(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
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(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
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(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
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(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
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(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))) 1))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))) (PI.f64))

eval651.0ms (2.2%)

Compiler: Compiled 27694 to 21188 computations (23.5% saved)

prune214.0ms (0.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	731	25	756
Fresh	8	0	8
Picked	5	0	5
Done	1	0	1
Total	745	25	770

Accuracy

98.9%

Counts

770 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.2%	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 3))
	94.6%	(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
	93.4%	(neg.f64 (/.f64 4 (pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))) 3) 1/3)))
▶	93.0%	(neg.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))) 3)))
	94.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	94.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
	94.5%	(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
	94.4%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))))
	93.5%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))))
	94.5%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
	94.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2)))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 8 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
	97.0%	(neg.f64 (.f64 4 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))) 3) (PI.f64))))
▶	94.7%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
▶	98.4%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
	37.0%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3) 1/3))) (PI.f64))))
	95.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))) (PI.f64))))
	98.3%	(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))))))
	94.7%	(neg.f64 (.f64 4 (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
	73.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)) (.f64 (/.f64 1 (PI.f64)) 4))))
	93.3%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))))
	93.3%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))))
	93.2%	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 3))
	94.6%	(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
	93.4%	(neg.f64 (/.f64 4 (pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))) 3) 1/3)))
▶	93.0%	(neg.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))) 3)))
	94.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	94.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
	94.5%	(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
	94.4%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))))
	93.5%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))))
	94.5%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
	94.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	94.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2)))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 8 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	1.6%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
	97.0%	(neg.f64 (.f64 4 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))) 3) (PI.f64))))
▶	94.7%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
▶	98.4%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
	37.0%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3) 1/3))) (PI.f64))))
	95.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))) (PI.f64))))
	98.3%	(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))))))
	94.7%	(neg.f64 (.f64 4 (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
	73.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)) (.f64 (/.f64 1 (PI.f64)) 4))))
	93.3%	(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))))
	93.3%	(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))))

Compiler

Compiled 1904 to 1616 computations (15.1% saved)

localize801.0ms (2.7%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))
✓	99.3%	(/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))
✓	99.1%	(cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))))
✓	98.9%	(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))) 3)
✓	99.9%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 8 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))))
✓	99.9%	(cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/4))
✓	97.3%	(log.f64 (/.f64 8 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
✓	99.6%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	100.0%	(tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))
✓	99.6%	(.f64 (.f64 1/4 f) (PI.f64))
✓	99.5%	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
✓	98.9%	(log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))

Compiler

Compiled 332 to 244 computations (26.5% saved)

Precisions

Click to see histograms

Operation ival-tanh, total time spent: 17.0ms

Operation ival-sub, total time spent: 7.0ms

Operation ival-pow, total time spent: 11.0ms

Operation ival-pi, total time spent: 2.0ms

Operation ival-neg, total time spent: 17.0ms

Operation ival-mult, total time spent: 105.0ms

Operation ival-log, total time spent: 171.0ms

Operation ival-div, total time spent: 141.0ms

Operation ival-cosh, total time spent: 15.0ms

Operation ival-cbrt, total time spent: 11.0ms

Operation const, total time spent: 18.0ms

series162.0ms (0.5%)

Counts

15 → 160

Calls

42 calls:

Time	Variable		Point	Expression
66.0ms	f	@	inf	(log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))
27.0ms	f	@	inf	(log.f64 (/.f64 8 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
21.0ms	f	@	-inf	(log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))
17.0ms	f	@	-inf	(log.f64 (/.f64 8 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
3.0ms	f	@	inf	(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))

rewrite144.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`associate-r`
324×	`times-frac`
281×	`log1p-expm1-u`
281×	`expm1-log1p-u`
279×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	41	427
1	681	395

Stop Event

1×	node limit

Counts

15 → 477

Calls

Call 1

Inputs
(log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))
(/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 f) (PI.f64))))) (PI.f64))
(.f64 (.f64 1/4 f) (PI.f64))
(tanh.f64 (.f64 (.f64 1/4 f) (PI.f64)))
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 8 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))))
(.f64 f (.f64 (PI.f64) 1/4))
(cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 8 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))) 3)
(cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))))
(/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))

Outputs
(+.f64 0 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (log.f64 (sqrt.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(-.f64 0 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))) 1)
(-.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (log.f64 (.f64 2 (cosh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(-.f64 (log.f64 (expm1.f64 (.f64 1/2 (.f64 f (PI.f64))))) (log.f64 (+.f64 (exp.f64 (.f64 1/2 (.f64 f (PI.f64)))) 1)))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))))) (log.f64 (+.f64 1 (exp.f64 (.f64 -1/2 (.f64 f (PI.f64)))))))
(.f64 1 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))
(.f64 -1 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 2) (neg.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (neg.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(.f64 (neg.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 2)) (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(.f64 (.f64 -1 (sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 2) (.f64 0 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 2)) (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 2)
(neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) 1))
(log1p.f64 (-.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1))
(-.f64 0 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))) 1)
(-.f64 (/.f64 0 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 1 (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 1 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/6)) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/6))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -1)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) 3/2)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))

simplify241.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

942×	`fma-def`
722×	`times-frac`
582×	`distribute-rgt-in`
578×	`distribute-lft-in`
510×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1167	25973
1	2953	24793

Stop Event

1×	node limit

Counts

637 → 671

Calls

Call 1

Inputs
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(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 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)
(*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 2) 3) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/6) 3))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) 1) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/6)) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/6))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -1)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) 3/2)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2)
(neg.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))

Outputs
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64)))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (.f64 2 (/.f64 f (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0))))))
(+.f64 (log.f64 f) (fma.f64 2 (/.f64 f (/.f64 (PI.f64) 0)) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))))) (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (fma.f64 1/2 (.f64 (pow.f64 f 2) (fma.f64 -4 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64))))) (.f64 2 (/.f64 f (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 0)))))))
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(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(*.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))
(.f64 2 (/.f64 2 (.f64 f (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (pow.f64 (cbrt.f64 (.f64 f 1/2)) 2)) (/.f64 (sqrt.f64 (/.f64 2 (PI.f64))) (cbrt.f64 (*.f64 f 1/2))))
(*.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 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (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 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.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 2 (sqrt.f64 (PI.f64))) (/.f64 2 (.f64 f (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (sqrt.f64 f)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 f) 2) (PI.f64))) (/.f64 4 (cbrt.f64 f)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 4 (cbrt.f64 f))) (pow.f64 (cbrt.f64 f) 2))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3) 1/3)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (*.f64 1/4 (/.f64 f (/.f64 1 (PI.f64)))) -1)
(/.f64 1 (*.f64 1/4 (/.f64 f (/.f64 1 (PI.f64)))))
(/.f64 1 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(neg.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f -1/2)))
(.f64 (/.f64 -2 (PI.f64)) (/.f64 1 (.f64 f -1/2)))
(*.f64 (/.f64 (/.f64 -2 (PI.f64)) f) -2)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 2))
(fabs.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (exp.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 3))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 2 (PI.f64)) 3) (pow.f64 (*.f64 f 1/2) 3)))
(cbrt.f64 (/.f64 (/.f64 8 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 f 3) 1/8)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 1))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 2) 3) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/6) 3))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 (PI.f64) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) 1) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/6)) (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1/6))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -1)
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 1)
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2) 3/2)
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 2) 3/2)
(pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) 1/3)
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 2)
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2))
(fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(log.f64 (exp.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3)))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 1))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))

eval343.0ms (1.2%)

Compiler: Compiled 16300 to 12411 computations (23.9% saved)

prune185.0ms (0.6%)

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	650	21	671
Fresh	14	6	20
Picked	3	2	5
Done	0	0	0
Total	667	29	696

Accuracy

99.9%

Counts

696 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.2%	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 3))
	93.0%	(neg.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)))
	94.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	94.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	94.5%	(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	88.2%	(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)))
	94.4%	(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	94.5%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
	93.5%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))
	94.5%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
	94.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2)))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	93.2%	(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))))
✓	94.7%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	10.2%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -1/2) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))))) (PI.f64))))
	95.6%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (sinh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (cosh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
	95.6%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))) (+.f64 1 (pow.f64 (exp.f64 1/2) (.f64 f (PI.f64))))))) (PI.f64))))
	95.7%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1/2 (cosh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))))
✓	98.4%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
	94.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
▶	4.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
	93.4%	(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64))))
▶	98.3%	(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))))))
	94.7%	(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
	94.5%	(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
	93.4%	(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
	93.5%	(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
	94.2%	(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))))
▶	1.6%	(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))
	93.2%	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 3))
	93.0%	(neg.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)))
	94.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	94.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	94.5%	(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	88.2%	(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)))
	94.4%	(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	94.5%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
	93.5%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))
	94.5%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
	94.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2)))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	93.2%	(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))))
✓	94.7%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	10.2%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -1/2) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))))) (PI.f64))))
	95.6%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (sinh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (cosh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
	95.6%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))) (+.f64 1 (pow.f64 (exp.f64 1/2) (.f64 f (PI.f64))))))) (PI.f64))))
	95.7%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1/2 (cosh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))))
✓	98.4%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
	94.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
▶	4.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
	93.4%	(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64))))
▶	98.3%	(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))))))
	94.7%	(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
	94.5%	(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
	93.4%	(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
	93.5%	(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
	94.2%	(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))))
▶	1.6%	(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))

Compiler

Compiled 1762 to 1490 computations (15.4% saved)

localize1.3s (4.4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.3%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.2%	(cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	98.8%	(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
✓	97.4%	(PI.f64)
	99.9%	(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/4))
✓	97.4%	(PI.f64)
✓	99.6%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64))
✓	98.9%	(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
✓	97.4%	(PI.f64)
✓	97.4%	(PI.f64)
✓	99.6%	(.f64 f (.f64 (PI.f64) 1/4))
✓	99.5%	(/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
✓	98.9%	(log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))
✓	97.4%	(PI.f64)

Compiler

Compiled 384 to 276 computations (28.1% saved)

Precisions

Click to see histograms

Operation ival-tanh, total time spent: 171.0ms

Operation ival-pow, total time spent: 18.0ms

Operation ival-pi, total time spent: 2.0ms

Operation ival-neg, total time spent: 29.0ms

Operation ival-mult, total time spent: 139.0ms

Operation ival-log, total time spent: 325.0ms

Operation ival-exp, total time spent: 57.0ms

Operation ival-div, total time spent: 124.0ms

Operation ival-cbrt, total time spent: 15.0ms

Operation ival-add, total time spent: 19.0ms

Operation const, total time spent: 21.0ms

series27.0ms (0.1%)

Counts

15 → 108

Calls

30 calls:

Time	Variable		Point	Expression
6.0ms	f	@	0	(/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64))
3.0ms	f	@	0	(/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
2.0ms	f	@	inf	(/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64))
2.0ms	f	@	0	(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
2.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)

rewrite321.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

975×	`log1p-expm1-u`
551×	`expm1-log1p-u`
518×	`log1p-udef`
516×	`expm1-udef`
308×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	253
1	428	249
2	4815	249

Stop Event

1×	node limit

Counts

15 → 404

Calls

Call 1

Inputs
(PI.f64)
(log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))
(/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4))))))
(.f64 f (.f64 (PI.f64) 1/4))
(PI.f64)
(PI.f64)
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64))
(*.f64 f (PI.f64))
(PI.f64)
(.f64 f (.f64 (PI.f64) 1/4))
(PI.f64)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3)
(cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)

Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(log1p.f64 (expm1.f64 (PI.f64)))
(+.f64 0 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(+.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(-.f64 0 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 1)
(-.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(-.f64 (log.f64 (expm1.f64 (.f64 1/2 (.f64 (PI.f64) f)))) (log1p.f64 (exp.f64 (.f64 1/2 (.f64 (PI.f64) f)))))
(-.f64 (log.f64 (-.f64 1 (exp.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 -1/2 (.f64 (PI.f64) f)))))
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1)
(.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) -1)
(.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2) (neg.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (neg.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(.f64 -1 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2)) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (neg.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2)) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(.f64 (.f64 -1 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2) (.f64 0 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 3)
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2)
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(exp.f64 (.f64 (log.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 1))
(log1p.f64 (-.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) 1)
(.f64 (PI.f64) (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 1)
(.f64 1 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 2) (cbrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(.f64 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(.f64 (neg.f64 (PI.f64)) (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64))
(.f64 -1 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(.f64 (/.f64 1 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (/.f64 (PI.f64) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 1) (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
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(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
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(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
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(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 1)
(/.f64 f (/.f64 4 (PI.f64)))
(/.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (cbrt.f64 (pow.f64 f 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(/.f64 (sqrt.f64 f) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(/.f64 (neg.f64 f) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 f (/.f64 2 (sqrt.f64 (PI.f64)))) (/.f64 2 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 f 1) (/.f64 4 (PI.f64)))
(/.f64 (/.f64 f 4) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 f (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 4 (PI.f64))))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) f) 2) 1/16))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 3))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (pow.f64 f 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 1))
(exp.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
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(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
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(+.f64 (fma.f64 (*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
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(+.f64 (fma.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (log.f64 f))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 f))) (sqrt.f64 (log.f64 f)) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 0 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
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(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))
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(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2))
(*.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)))
(.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/6) (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/6) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) 3) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/6) 3) (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/6) 3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) 1) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/6)) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/6))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (.f64 (log.f64 f) (log.f64 f)) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (log.f64 f) (log.f64 f))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1))
(log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 1)
(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(*.f64 1 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/6) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1/3))
(pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/3)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2))
(log.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(exp.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 4 (.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
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(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (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))) (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) -1)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
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(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))

simplify199.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1236×	`associate-l`
1090×	`times-frac`
802×	`associate-/r*`
478×	`fma-def`
444×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	18463
1	1880	16205

Stop Event

1×	node limit

Counts

512 → 429

Calls

Call 1

Inputs
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 4 (.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(*.f64 1 (/.f64 (/.f64 4 f) (PI.f64)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (cbrt.f64 (pow.f64 f 2))) (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (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))) (cbrt.f64 (pow.f64 f 2))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) -1)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))

Outputs
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
(+.f64 (log.f64 f) (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64)))))
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(+.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (.f64 2 (.f64 f 0)))
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(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(.f64 -1 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))))
(/.f64 (neg.f64 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
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(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2))
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(/.f64 -4 (*.f64 (neg.f64 f) (PI.f64)))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 f (PI.f64)) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(expm1.f64 (log1p.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(exp.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(log1p.f64 (expm1.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)

eval414.0ms (1.4%)

Compiler: Compiled 17912 to 13853 computations (22.7% saved)

prune206.0ms (0.7%)

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	703	6	709
Fresh	3	19	22
Picked	1	4	5
Done	0	2	2
Total	707	31	738

Accuracy

99.9%

Counts

738 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.2%	(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 3))
	93.0%	(neg.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)))
	94.6%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
	94.5%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	94.5%	(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	94.4%	(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
	93.5%	(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))
	94.5%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
	94.4%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2)))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))) 16))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (*.f64 (PI.f64) 1/4))) 1) 16))))
✓	93.2%	(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))))
✓	94.7%	(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
	94.5%	(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64))))
	10.2%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -1/2) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))))) (PI.f64))))
	95.6%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (sinh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (cosh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
	95.6%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))) (+.f64 1 (pow.f64 (exp.f64 1/2) (.f64 f (PI.f64))))))) (PI.f64))))
	95.7%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1/2 (cosh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))))
✓	98.4%	(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
	94.6%	(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
	1.6%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
✓	4.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
	93.4%	(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64))))
	9.9%	(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))))))
	9.4%	(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 -1/2 (*.f64 (PI.f64) f))))))))))
✓	98.3%	(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))))))
	94.7%	(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
	94.5%	(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
	93.4%	(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
	94.2%	(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))))
✓	1.6%	(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))

Compiler

Compiled 1780 to 1387 computations (22.1% saved)

regimes126.0ms (0.4%)

Counts

66 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (*.f64 (PI.f64) 1/4))) 1) 16))))
(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)))))))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(neg.f64 (*.f64 4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)) (.f64 (/.f64 1 (PI.f64)) 4))))
(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 8 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))) 16))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (.f64 4 (+.f64 (.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (+.f64 (.f64 1/2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (/.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))) (PI.f64))))))
(neg.f64 (*.f64 4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(neg.f64 (*.f64 4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))))
(neg.f64 (*.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3))))
(neg.f64 (*.f64 4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 3) (PI.f64))))
(neg.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) 3)))
(neg.f64 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))))
(neg.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))))
(neg.f64 (/.f64 4 (exp.f64 (log.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))))
(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) 1)))
(neg.f64 (/.f64 4 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4))) 3))
(neg.f64 (/.f64 4 (pow.f64 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2)))) 3) 1/3)))
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (sinh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (cosh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 2 (.f64 (sinh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1/2 (cosh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 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)))) 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 4 (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))))) 3) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f 1/2))) (+.f64 1 (pow.f64 (exp.f64 1/2) (.f64 f (PI.f64))))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (-.f64 (log.f64 (-.f64 1 (exp.f64 (.f64 -1/2 (.f64 (PI.f64) f))))) (log1p.f64 (exp.f64 (.f64 -1/2 (*.f64 (PI.f64) f))))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2)) 1/48) -2 (*.f64 1/16 (/.f64 (PI.f64) 1/2))) (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 4 (/.f64 (neg.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (exp.f64 -1/2) (.f64 f (PI.f64))))) (log1p.f64 (pow.f64 (exp.f64 -1/2) (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (expm1.f64 (log1p.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (pow.f64 (.f64 2 (sinh.f64 (.f64 (.f64 1/4 f) (PI.f64)))) 3) 1/3))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
(neg.f64 (*.f64 4 (/.f64 1 (/.f64 (PI.f64) (neg.f64 (-.f64 (log1p.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))) (log1p.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/2))))))))
(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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (*.f64 (PI.f64) 1/2))))))))

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

Calls

6 calls:

35.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
28.0ms	f
8.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
8.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
7.0ms	(/.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)))))

Results

Accuracy	Segments	Branch
98.4%	1	`f`
98.4%	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))))))))`
98.4%	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)))))))`
98.4%	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))))))`
98.4%	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)))))`
98.4%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1418 to 1074 computations (24.3% saved)

regimes27.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (*.f64 (PI.f64) 1/4))) 1) 16))))
(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)))))))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(neg.f64 (*.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64))))))

Outputs
(neg.f64 (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))

Calls

1 calls:

19.0ms

Results

Accuracy	Segments	Branch
97.4%	2	`f`

Compiler

Compiled 299 to 231 computations (22.7% saved)

regimes29.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (*.f64 (PI.f64) 1/4))) 1) 16))))
(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)))))))))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64))))

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
97.3%	2	`f`

Compiler

Compiled 250 to 196 computations (21.6% saved)

regimes13.0ms (0%)

Counts

15 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))))))
(neg.f64 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2))) (.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (.f64 f 1/2)))))))
(neg.f64 (/.f64 4 (/.f64 1 (/.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) (*.f64 f 1/2))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 f (*.f64 (PI.f64) 1/4))) 1) 16))))
(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)))))))))))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
94.6%	1	`f`

Compiler

Compiled 226 to 178 computations (21.2% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 1/8)))

Outputs
(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 19 to 17 computations (10.5% saved)

bsearch42.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.061580481909685	134.64812193438695

Results

40.0ms

112×

body

256

valid

Compiler

Compiled 238 to 201 computations (15.5% saved)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 1.0ms

Operation ival-pi, total time spent: 1.0ms

Operation ival-neg, total time spent: 2.0ms

Operation ival-mult, total time spent: 4.0ms

Operation ival-log, total time spent: 3.0ms

Operation ival-exp, total time spent: 6.0ms

Operation ival-div, total time spent: 7.0ms

Operation ival-add, total time spent: 1.0ms

Operation const, total time spent: 1.0ms

bsearch42.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	1.061580481909685	134.64812193438695

Results

40.0ms

112×

body

256

valid

Compiler

Compiled 231 to 194 computations (16% saved)

Precisions

Click to see histograms

Operation ival-sub, total time spent: 1.0ms

Operation ival-pi, total time spent: 1.0ms

Operation ival-neg, total time spent: 2.0ms

Operation ival-mult, total time spent: 6.0ms

Operation ival-log, total time spent: 3.0ms

Operation ival-exp, total time spent: 6.0ms

Operation ival-div, total time spent: 6.0ms

Operation ival-add, total time spent: 1.0ms

Operation const, total time spent: 1.0ms

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

436×	`unsub-neg`
306×	`neg-mul-1`
166×	`distribute-lft-neg-in`
142×	`distribute-neg-out`
96×	`neg-sub0`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	347
1	107	339
2	176	339
3	242	335
4	317	335
5	354	335
6	518	335
7	852	335
8	1033	335

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(if (<=.f64 f 3/2) (neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))) (neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))))
(if (<=.f64 f 3/2) (neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) (neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))

Outputs
(neg.f64 (.f64 4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 f) (PI.f64)))) (PI.f64)))
(if (<=.f64 f 3/2) (neg.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))) (neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))))
(if (<=.f64 f 3/2) (.f64 (neg.f64 4) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (neg.f64 4) (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64))))
(if (<=.f64 f 3/2) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (neg.f64 4)) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)) (neg.f64 4)))
(if (<=.f64 f 3/2) (.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)) (neg.f64 4)))
(if (<=.f64 f 3/2) (neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) (neg.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)))))
(if (<=.f64 f 3/2) (.f64 (neg.f64 4) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (.f64 (neg.f64 4) (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64))))
(if (<=.f64 f 3/2) (.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (neg.f64 4)) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)) (neg.f64 4)))
(if (<=.f64 f 3/2) (.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))) (.f64 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64)) (neg.f64 4)))
(neg.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (neg.f64 4))
(*.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(.f64 4 (neg.f64 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64))))
(.f64 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64)) (neg.f64 4))
(neg.f64 (*.f64 -4 (/.f64 (log.f64 8) (PI.f64))))
(*.f64 -4 (neg.f64 (/.f64 (log.f64 8) (PI.f64))))
(*.f64 -4 (/.f64 (neg.f64 (log.f64 8)) (PI.f64)))
(*.f64 (/.f64 (log.f64 8) (PI.f64)) (neg.f64 -4))

Compiler

Compiled 100 to 82 computations (18% saved)

soundness1.9s (6.5%)

Rules

1738×	`fma-def`
1344×	`times-frac`
1332×	`fma-def`
1332×	`fma-def`
1236×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	763
1	1038	597
0	20	112
1	313	112
2	5540	112
0	60	763
1	1038	597
0	1149	24877
1	3084	23579
0	41	427
1	681	395
0	1167	25973
1	2953	24793
0	742	18463
1	1880	16205
0	154	5001
1	467	4621
2	1870	4270
0	1149	24877
1	3084	23579
0	1167	25973
1	2953	24793

Stop Event

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

Compiler

Compiled 944 to 733 computations (22.4% saved)

end0.0ms (0%)

preprocess87.0ms (0.3%)

Compiler: Compiled 266 to 202 computations (24.1% saved)

analyze483.0ms (1.6%)

sample14.5s (49%)

preprocess1.0s (3.4%)

eval3.0ms (0%)

prune2.0ms (0%)

localize893.0ms (3%)

series80.0ms (0.3%)

rewrite150.0ms (0.5%)

simplify82.0ms (0.3%)

eval74.0ms (0.2%)

prune48.0ms (0.2%)

localize4.0s (13.6%)

series267.0ms (0.9%)

rewrite177.0ms (0.6%)

simplify290.0ms (1%)

eval651.0ms (2.2%)

prune214.0ms (0.7%)

localize801.0ms (2.7%)

series162.0ms (0.5%)

rewrite144.0ms (0.5%)

simplify241.0ms (0.8%)

eval343.0ms (1.2%)

prune185.0ms (0.6%)

localize1.3s (4.4%)

series27.0ms (0.1%)

rewrite321.0ms (1.1%)

simplify199.0ms (0.7%)

eval414.0ms (1.4%)

prune206.0ms (0.7%)

regimes126.0ms (0.4%)

regimes27.0ms (0.1%)

regimes29.0ms (0.1%)

regimes13.0ms (0%)

regimes5.0ms (0%)

regimes4.0ms (0%)

bsearch42.0ms (0.1%)

bsearch42.0ms (0.1%)

simplify24.0ms (0.1%)

soundness1.9s (6.5%)

end0.0ms (0%)

preprocess87.0ms (0.3%)

Profiling