Metrics for VandenBroeck and Keller, Equation (20)

analyze404.0ms (1.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
0%	0%	62.5%	0%	0%	25%	12.5%	4
0%	0%	56.2%	0%	0%	25%	18.7%	5
6.3%	3.1%	46.9%	0%	0%	28.1%	21.9%	6
6.5%	3.1%	45.3%	0%	0%	28.1%	23.4%	7
6.6%	3.1%	44.5%	0%	0%	28.1%	24.2%	8
7.4%	3.5%	44.1%	0%	0%	28.1%	24.2%	9
7.8%	3.7%	43.9%	0%	0%	28.1%	24.2%	10
8%	3.8%	43.8%	0%	0%	28.1%	24.2%	11
8%	3.8%	43.8%	0%	0%	28.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

Operation ival-mult, time spent: 79.0ms, 30.0% of total-time

Operation ival-div, time spent: 73.0ms, 27.0% of total-time

Operation ival-exp, time spent: 45.0ms, 17.0% of total-time

Operation ival-neg, time spent: 25.0ms, 9.0% of total-time

Operation ival-sub, time spent: 12.0ms, 4.0% of total-time

Operation ival-log, time spent: 10.0ms, 4.0% of total-time

Operation ival-pi, time spent: 9.0ms, 3.0% of total-time

Operation ival-add, time spent: 9.0ms, 3.0% of total-time

Operation const, time spent: 6.0ms, 2.0% of total-time

sample13.8s (45.8%)

Results

5.3s	7223×	1	valid
4.9s	6982×	1	invalid
452.0ms	1032×	0	valid
324.0ms	369×	0	invalid
1.4s	184×	5	exit
1.0ms	3×	0	unsamplable
1.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 10.3s

Operation ival-exp, time spent: 3.8s, 37.0% of total-time

Operation ival-div, time spent: 2.0s, 20.0% of total-time

Operation ival-mult, time spent: 1.7s, 17.0% of total-time

Operation backward-pass, time spent: 755.0ms, 7.0% of total-time

Operation ival-log, time spent: 662.0ms, 6.0% of total-time

Operation ival-neg, time spent: 448.0ms, 4.0% of total-time

Operation ival-add, time spent: 316.0ms, 3.0% of total-time

Operation ival-sub, time spent: 219.0ms, 2.0% of total-time

Operation ival-pi, time spent: 186.0ms, 2.0% of total-time

Operation const, time spent: 120.0ms, 1.0% of total-time

Bogosity

preprocess1.7s (5.5%)

Algorithm

1×	egg-herbie

Rules

1254×	`fma-define`
778×	`times-frac`
668×	`fma-neg`
630×	`associate-/r*`
580×	`log-prod`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
254	-	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
0	-	-	`(PI.f64)`
0	-	-	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
0	-	-	`(*.f64 (/.f64 (PI.f64) 4) 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)))))`
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)))))))`
0	-	-	`f`
0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	-	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
0	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`
0	-	-	`(/.f64 (PI.f64) 4)`
0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) 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))))))`
0	-	-	`4`
0	-	-	`1`
0	-	-	`(/.f64 1 (/.f64 (PI.f64) 4))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	484
2	269	484
3	800	484
4	2639	484
5	7787	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)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 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 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) 4) (neg.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 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 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4)) (pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))
(.f64 (neg.f64 (.f64 (/.f64 1 (PI.f64)) 4)) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) (neg.f64 f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 (neg.f64 f))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))) (/.f64 (PI.f64) -4))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 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 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) 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)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)))))
(*.f64 (/.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 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) 1/4))) (-.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) -1/4)) f) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/4))))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))))

Compiler

Compiled 434 to 320 computations (26.3% saved)

Precisions

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

Operation ival-div, time spent: 310.0ms, 28.0% of total-time

Operation ival-exp, time spent: 298.0ms, 27.0% of total-time

Operation ival-mult, time spent: 252.0ms, 23.0% of total-time

Operation ival-neg, time spent: 80.0ms, 7.0% of total-time

Operation ival-log, time spent: 65.0ms, 6.0% of total-time

Operation ival-sub, time spent: 31.0ms, 3.0% of total-time

Operation ival-add, time spent: 31.0ms, 3.0% of total-time

Operation const, time spent: 21.0ms, 2.0% of total-time

Operation ival-pi, time spent: 12.0ms, 1.0% of total-time

eval3.0ms (0%)

Compiler: Compiled 166 to 115 computations (30.7% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.8%	(*.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)))
▶	7.8%	(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

▶

7.8%

(*.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)))

▶

7.8%

(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 71 to 54 computations (23.9% saved)

localize1.9s (6.3%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))
✓	99.6%	(/.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)))
✓	99.3%	(*.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)))
✓	9.4%	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))
✓	99.6%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	9.4%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 342 to 236 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.6s

Operation ival-pow, time spent: 690.0ms, 44.0% of total-time

Operation ival-div, time spent: 295.0ms, 19.0% of total-time

Operation ival-exp, time spent: 261.0ms, 17.0% of total-time

Operation ival-mult, time spent: 126.0ms, 8.0% of total-time

Operation ival-log, time spent: 55.0ms, 4.0% of total-time

Operation ival-add, time spent: 40.0ms, 3.0% of total-time

Operation ival-sub, time spent: 34.0ms, 2.0% of total-time

Operation ival-neg, time spent: 30.0ms, 2.0% of total-time

Operation const, time spent: 17.0ms, 1.0% of total-time

Operation ival-pi, time spent: 3.0ms, 0.0% of total-time

series557.0ms (1.8%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
154.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
119.0ms	f	@	-inf	(*.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)))
111.0ms	f	@	-inf	(pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))
50.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))
47.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

rewrite329.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`associate-r`
294×	`associate-l`
248×	`add-exp-log`
246×	`add-log-exp`
245×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	224
1	582	224

Stop Event

1×	node limit

Counts

8 → 152

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

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

simplify114.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1768×	`fma-define`
1100×	`times-frac`
784×	`*-commutative`
744×	`distribute-lft-in`
740×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	7700
1	523	7228
2	1925	6626

Stop Event

1×	node limit

Counts

248 → 96

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 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)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(/.f64 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)))))))
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(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
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(+.f64 (.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 -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 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(/.f64 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 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
1
(+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))
(+.f64 1 (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/4 (.f64 f (PI.f64)))))
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/4 (.f64 f (PI.f64))))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
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(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
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(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 (.f64 (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)))))) -4) (PI.f64))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(/.f64 (.f64 (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)))))) -4) (PI.f64))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 4 (PI.f64)) f)
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(fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.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 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (fma.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
(+.f64 0 (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 1/192 (.f64 (pow.f64 (PI.f64) 2) 1/4))) -2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))
(fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (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)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (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)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (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)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (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)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (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)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (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)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (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)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (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)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))
1
(+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 1/4 (.f64 f (PI.f64))) 1)
(fma.f64 1/4 (*.f64 f (PI.f64)) 1)
(fma.f64 f (*.f64 1/4 (PI.f64)) 1)
(+.f64 1 (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/4 (.f64 f (PI.f64)))))
(+.f64 1 (fma.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (.f64 1/4 (*.f64 f (PI.f64)))))
(+.f64 1 (fma.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (.f64 f (*.f64 1/4 (PI.f64)))))
(fma.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) 1/32) (fma.f64 f (.f64 1/4 (PI.f64)) 1))
(+.f64 1 (+.f64 (.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/4 (.f64 f (PI.f64))))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (.f64 1/4 (.f64 f (PI.f64))))))
(+.f64 1 (fma.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)) (.f64 f (.f64 1/4 (PI.f64))))))
(fma.f64 (pow.f64 f 3) (.f64 1/384 (pow.f64 (PI.f64) 3)) (fma.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) 1/32) (fma.f64 f (*.f64 1/4 (PI.f64)) 1)))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16
-16
-8
-4
-2
-1
-1/2
-1/4
0
1/16
1/8
1/4
1/2
1
3/2
2
3
4
8
16

eval157.0ms (0.5%)

Compiler: Compiled 5147 to 3798 computations (26.2% saved)

prune47.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	109	8	117
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	111	8	119

Accuracy

99.7%

Counts

119 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (pow.f64 f 2) (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2)) 0) (PI.f64)) 0)))
▶	98.3%	(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
	98.2%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	7.8%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	99.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	98.1%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	99.3%	(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 f (.f64 (PI.f64) 1/2) (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)))))))))
	98.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))

Compiler

Compiled 456 to 362 computations (20.6% saved)

localize2.4s (7.8%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	98.4%	(fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) 0)
✓	98.4%	(fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2))
✓	98.4%	(.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
✓	98.4%	(fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2))
✓	98.4%	(.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2)))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	98.4%	(pow.f64 (PI.f64) 5)
✓	98.4%	(pow.f64 (PI.f64) 3)
✓	98.4%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	97.5%	(pow.f64 (PI.f64) 7)

Compiler

Compiled 860 to 651 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.8s

Operation ival-mult, time spent: 679.0ms, 37.0% of total-time

Operation ival-pow, time spent: 348.0ms, 19.0% of total-time

Operation composed, time spent: 307.0ms, 17.0% of total-time

Operation ival-div, time spent: 156.0ms, 9.0% of total-time

Operation ival-log, time spent: 134.0ms, 7.0% of total-time

Operation ival-add, time spent: 74.0ms, 4.0% of total-time

Operation ival-pi, time spent: 36.0ms, 2.0% of total-time

Operation const, time spent: 31.0ms, 2.0% of total-time

Operation ival-exp, time spent: 23.0ms, 1.0% of total-time

Operation ival-neg, time spent: 17.0ms, 1.0% of total-time

Operation ival-sub, time spent: 8.0ms, 0.0% of total-time

series193.0ms (0.6%)

Counts

17 → 72

Calls

18 calls:

Time	Variable		Point	Expression
99.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
18.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
18.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
17.0ms	f	@	-inf	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
11.0ms	f	@	inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite147.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`associate-r`
368×	`associate-l`
270×	`log1p-expm1-u`
270×	`expm1-log1p-u`
268×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	450
1	647	404

Stop Event

1×	node limit

Counts

17 → 419

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 7)
(*.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 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2)))
(fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 4 (PI.f64)))
(.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2)))
(fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2))
(fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) 0)

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 7))) 1)
(*.f64 1 (pow.f64 (PI.f64) 7))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 7)) (cbrt.f64 (pow.f64 (PI.f64) 14)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 14)) (cbrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (pow.f64 (PI.f64) 7/2) (pow.f64 (PI.f64) 7/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 7) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 7) (pow.f64 (sqrt.f64 (PI.f64)) 7))
(sqrt.f64 (pow.f64 (PI.f64) 14))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 7)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 7))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 7) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 7)))
(exp.f64 (*.f64 7 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 7 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.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))
(sqrt.f64 (pow.f64 (PI.f64) 10))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))
(.f64 4 (/.f64 1 (.f64 f (PI.f64))))
(.f64 4 (.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 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 (PI.f64)) (.f64 4 (/.f64 1 f)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(*.f64 (/.f64 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 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)
(pow.f64 (.f64 f (.f64 (PI.f64) 1/4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(neg.f64 (/.f64 (/.f64 -4 (PI.f64)) f))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1))
(+.f64 0 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)))
(+.f64 (log.f64 2) (log.f64 (/.f64 1 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (.f64 (pow.f64 (PI.f64) 2) 1/4)))) (log.f64 (cbrt.f64 (.f64 (/.f64 2 (PI.f64)) 2))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 2 (PI.f64)) 2))) (log.f64 (sqrt.f64 (.f64 (/.f64 2 (PI.f64)) 2))))
(-.f64 0 (log.f64 (.f64 (.f64 (PI.f64) 1/2) 1/2)))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)))) 1)
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) -1/2)))
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(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96)))) 2))
(log.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96)))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96)) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96))))) 1))
(exp.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)))))

simplify243.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1224×	`fma-neg`
1166×	`log-prod`
590×	`*-commutative`
454×	`sqr-pow`
450×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	875	14659
1	2256	14052
2	7034	14040

Stop Event

1×	node limit

Counts

491 → 512

Calls

Call 1

Inputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 f 4) (.f64 (PI.f64) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2)))) (+.f64 (.f64 1/48 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3)))) (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))) 2))))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (.f64 16 (/.f64 1 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))))))) (.f64 256/3 (/.f64 1 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 3))))))) (.f64 32 (/.f64 1 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64))) 2))))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 7))) 1)
(*.f64 1 (pow.f64 (PI.f64) 7))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 7)) (cbrt.f64 (pow.f64 (PI.f64) 14)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 14)) (cbrt.f64 (pow.f64 (PI.f64) 7)))
(*.f64 (pow.f64 (PI.f64) 7/2) (pow.f64 (PI.f64) 7/2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 7) (pow.f64 (cbrt.f64 (PI.f64)) 7))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 7) (pow.f64 (sqrt.f64 (PI.f64)) 7))
(sqrt.f64 (pow.f64 (PI.f64) 14))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 7)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 7))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 7) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 7)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 7)))
(exp.f64 (*.f64 7 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 7 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 3) (PI.f64))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
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(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
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(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
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(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
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(/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
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(*.f64 (PI.f64) 1/12)
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(*.f64 (PI.f64) 1/12)
(+.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96)))) 0)
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 1/8 (PI.f64))) (.f64 (.f64 (PI.f64) 1/2) (.f64 (*.f64 (PI.f64) 4) -1/96)))
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(.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(.f64 1 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)))))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(.f64 1/2 (.f64 (PI.f64) (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96)))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96))))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))) 2))
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(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))
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(.f64 (.f64 (PI.f64) 1/12) (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (cbrt.f64 (*.f64 (PI.f64) 1/2))))
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(.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)))) (.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (sqrt.f64 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96)))))
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(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)))) 3) 0) (+.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)))) 2) (-.f64 0 (.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)))) 0))))
(/.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/12)) 3) (pow.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/12)) 2))
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(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96)))))))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96)))) 3))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96)) 3)))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (*.f64 (PI.f64) 4) -1/96))))))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96))))) 1))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(exp.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)))))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))

eval453.0ms (1.5%)

Compiler: Compiled 19327 to 14588 computations (24.5% saved)

prune322.0ms (1.1%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	596	23	619
Fresh	1	2	3
Picked	4	1	5
Done	0	0	0
Total	601	26	627

Accuracy

100.0%

Counts

627 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.8%	(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))) 3) -4)
▶	98.2%	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
	97.0%	(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
▶	98.1%	(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
	98.2%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	96.9%	(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) (PI.f64))) -4)
	98.0%	(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64)))) -4)
	97.1%	(.f64 (.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (cbrt.f64 (pow.f64 (PI.f64) 2)))) -4)
	98.1%	(.f64 (log.f64 (pow.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f) (/.f64 1 (PI.f64)))) -4)
	7.8%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	97.1%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
▶	99.2%	(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
	81.4%	(neg.f64 (pow.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 3) 1/3))
	97.8%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
	96.8%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
	81.4%	(neg.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 3))
	99.2%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
	99.1%	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (*.f64 f (PI.f64))))))))
	98.2%	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
▶	99.2%	(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))
	98.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
✓	99.3%	(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 f (.f64 (PI.f64) 1/2) (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)))))))))
	81.6%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
▶	97.0%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.9%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	97.7%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))

Compiler

Compiled 962 to 784 computations (18.5% saved)

localize1.2s (4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
✓	99.5%	(.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	98.4%	(*.f64 (PI.f64) 1/12)
✓	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.6%	(*.f64 (PI.f64) f)
✓	99.3%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
✓	98.3%	(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
✓	99.5%	(/.f64 (log.f64 f) (PI.f64))
✓	99.5%	(-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
✓	96.9%	(log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))
✓	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.5%	(.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
✓	98.4%	(+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))
✓	98.4%	(*.f64 -1/24 (PI.f64))
	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 370 to 243 computations (34.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 793.0ms

Operation ival-log, time spent: 191.0ms, 24.0% of total-time

Operation composed, time spent: 160.0ms, 20.0% of total-time

Operation ival-div, time spent: 154.0ms, 19.0% of total-time

Operation ival-exp, time spent: 126.0ms, 16.0% of total-time

Operation ival-mult, time spent: 78.0ms, 10.0% of total-time

Operation ival-add, time spent: 34.0ms, 4.0% of total-time

Operation ival-sub, time spent: 17.0ms, 2.0% of total-time

Operation ival-pow, time spent: 17.0ms, 2.0% of total-time

Operation const, time spent: 11.0ms, 1.0% of total-time

Operation ival-neg, time spent: 3.0ms, 0.0% of total-time

Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

series25.0ms (0.1%)

Counts

14 → 104

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	f	@	-inf	(-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
1.0ms	f	@	0	(.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
1.0ms	f	@	0	(-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
1.0ms	f	@	inf	(-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
1.0ms	f	@	inf	(.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))

rewrite372.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`log1p-expm1-u`
450×	`associate-r`
316×	`associate-l`
248×	`frac-times`
216×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	296
1	594	296
2	7361	296

Stop Event

1×	node limit

Counts

14 → 544

Calls

Call 1

Inputs
(*.f64 -1/24 (PI.f64))
(+.f64 (.f64 -1/24 (PI.f64)) (.f64 1/8 (PI.f64)))
(.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(log.f64 (*.f64 (/.f64 2 (PI.f64)) 2))
(-.f64 (/.f64 (log.f64 (*.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(/.f64 (log.f64 f) (PI.f64))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(/.f64 4 (*.f64 (PI.f64) f))
(*.f64 (PI.f64) 1/12)
(.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (PI.f64)))) 1)
(pow.f64 (*.f64 -1/24 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (PI.f64))) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/24 (PI.f64))) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (PI.f64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (PI.f64))))
(exp.f64 (log.f64 (*.f64 -1/24 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (PI.f64) -1/6)) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/64) (.f64 (PI.f64) -1/6)))
(*.f64 (PI.f64) 1/12)
(.f64 (.f64 (PI.f64) 1/12) 1)
(*.f64 1/12 (PI.f64))
(.f64 1 (.f64 (PI.f64) 1/12))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) 1/12))
(.f64 (cbrt.f64 (.f64 (PI.f64) 1/12)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/12)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/12)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) 1/12))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/12)) (sqrt.f64 (*.f64 (PI.f64) 1/12)))
(.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/512) (.f64 (pow.f64 (PI.f64) 3) -1/13824)) (/.f64 1 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (.f64 (PI.f64) 1/8) (-.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))))
(.f64 (.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) -1/6)) (/.f64 1 (*.f64 (PI.f64) -1/6)))
(.f64 (.f64 1/12 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 1/12 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (.f64 (PI.f64) 1/8) (-.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/512) (*.f64 (pow.f64 (PI.f64) 3) -1/13824))))
(/.f64 1 (/.f64 (.f64 (PI.f64) -1/6) (.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) -1/6))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/512) (.f64 (pow.f64 (PI.f64) 3) -1/13824)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (.f64 (PI.f64) 1/8) (-.f64 (.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64))))))
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/512) (.f64 (pow.f64 (PI.f64) 3) -1/13824)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/64) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 -1/24 (.f64 (PI.f64) (*.f64 (PI.f64) 1/8))))))
(/.f64 (.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) -1/6)) (.f64 (PI.f64) -1/6))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/512) (.f64 (pow.f64 (PI.f64) 3) -1/13824))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (.f64 (PI.f64) 1/8) (-.f64 (.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))))))
(/.f64 (neg.f64 (.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) -1/6))) (neg.f64 (.f64 (PI.f64) -1/6)))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/64) (.f64 (pow.f64 (PI.f64) 2) 1/576)) (-.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/12)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/12)) 1))
(fma.f64 -1/24 (PI.f64) (*.f64 (PI.f64) 1/8))
(fma.f64 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(fma.f64 (PI.f64) 1/8 (*.f64 -1/24 (PI.f64)))
(fma.f64 1/8 (PI.f64) (*.f64 -1/24 (PI.f64)))
(fma.f64 1 (.f64 -1/24 (PI.f64)) (.f64 (PI.f64) 1/8))
(fma.f64 1 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/64)) (cbrt.f64 (.f64 (PI.f64) 1/8)) (*.f64 -1/24 (PI.f64)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/24 (PI.f64))) 2) (cbrt.f64 (.f64 -1/24 (PI.f64))) (*.f64 (PI.f64) 1/8))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)) (sqrt.f64 (.f64 (PI.f64) 1/8)) (*.f64 -1/24 (PI.f64)))
(fma.f64 (sqrt.f64 (.f64 -1/24 (PI.f64))) (sqrt.f64 (.f64 -1/24 (PI.f64))) (*.f64 (PI.f64) 1/8))
(+.f64 (.f64 (PI.f64) (.f64 1/8 (pow.f64 f 2))) (.f64 -1/24 (.f64 (PI.f64) (pow.f64 f 2))))
(+.f64 (.f64 -1/24 (.f64 (PI.f64) (pow.f64 f 2))) (.f64 (PI.f64) (.f64 1/8 (pow.f64 f 2))))
(+.f64 (.f64 (.f64 -1/24 (.f64 (PI.f64) (pow.f64 f 2))) 1) (.f64 (.f64 (PI.f64) (.f64 1/8 (pow.f64 f 2))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 -1/24 (.f64 (PI.f64) (pow.f64 f 2))) 3) (pow.f64 (.f64 (PI.f64) (.f64 1/8 (pow.f64 f 2))) 3)) (+.f64 (.f64 (.f64 -1/24 (.f64 (PI.f64) (pow.f64 f 2))) (.f64 -1/24 (.f64 (PI.f64) (pow.f64 f 2)))) (-.f64 (.f64 (.f64 (PI.f64) (.f64 1/8 (pow.f64 f 2))) (.f64 (PI.f64) (.f64 1/8 (pow.f64 f 2)))) (.f64 (.f64 -1/24 (.f64 (PI.f64) (pow.f64 f 2))) (.f64 (PI.f64) (*.f64 1/8 (pow.f64 f 2)))))))
(/.f64 (-.f64 (.f64 (.f64 -1/24 (.f64 (PI.f64) (pow.f64 f 2))) (.f64 -1/24 (.f64 (PI.f64) (pow.f64 f 2)))) (.f64 (.f64 (PI.f64) (.f64 1/8 (pow.f64 f 2))) (.f64 (PI.f64) (.f64 1/8 (pow.f64 f 2))))) (-.f64 (.f64 -1/24 (.f64 (PI.f64) (pow.f64 f 2))) (.f64 (PI.f64) (.f64 1/8 (pow.f64 f 2)))))
(/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/512) (.f64 (pow.f64 (PI.f64) 3) -1/13824))) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (.f64 (PI.f64) 1/8) (-.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))))
(/.f64 (.f64 (pow.f64 f 2) (.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) -1/6))) (*.f64 (PI.f64) -1/6))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/512) (.f64 (pow.f64 (PI.f64) 3) -1/13824)) (pow.f64 f 2)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (.f64 (PI.f64) 1/8) (-.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))))
(/.f64 (.f64 (.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) -1/6)) (pow.f64 f 2)) (*.f64 (PI.f64) -1/6))
(pow.f64 (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2))) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2)))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2))) 3) 1/3)
(pow.f64 (.f64 f (sqrt.f64 (.f64 (PI.f64) 1/12))) 2)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/12) (PI.f64)) (pow.f64 f 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) (pow.f64 (pow.f64 f 2) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 f 2) 3) (pow.f64 (.f64 (PI.f64) 1/12) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2)))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2)))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/12 (pow.f64 f 2)))))
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(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 3) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2) (.f64 (/.f64 (log.f64 f) (PI.f64)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))) (/.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2) (.f64 (/.f64 (log.f64 f) (PI.f64)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 1)
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (-.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) (log.f64 f))) (/.f64 1 (pow.f64 (PI.f64) 2)))
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 3) (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3)) (/.f64 1 (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2) (.f64 (/.f64 (log.f64 f) (PI.f64)) (*.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2) (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2)) (/.f64 1 (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (-.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (/.f64 (log.f64 f) (neg.f64 (PI.f64))))
(fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (neg.f64 (PI.f64))))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (neg.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (neg.f64 (PI.f64))))

simplify509.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-l`
1016×	`associate-r`
960×	`times-frac`
496×	`fma-define`
338×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	835	25810
1	2259	23127

Stop Event

1×	node limit

Counts

648 → 466

Calls

Call 1

Inputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64))) (/.f64 (log.f64 -1) (PI.f64))))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))
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(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/24 (PI.f64)))) 1)
(pow.f64 (*.f64 -1/24 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/24 (PI.f64))) 3)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -1/24 (PI.f64))) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) -1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/24 (PI.f64)))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/13824))
(expm1.f64 (log1p.f64 (*.f64 -1/24 (PI.f64))))
(log1p.f64 (expm1.f64 (*.f64 -1/24 (PI.f64))))
(exp.f64 (log.f64 (*.f64 -1/24 (PI.f64))))
(exp.f64 (.f64 (log.f64 (.f64 -1/24 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (PI.f64) -1/6)) (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/64) (.f64 (PI.f64) -1/6)))
(*.f64 (PI.f64) 1/12)
(.f64 (.f64 (PI.f64) 1/12) 1)
(*.f64 1/12 (PI.f64))
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(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3))
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(fma.f64 (pow.f64 f 2) (.f64 -1/24 (PI.f64)) (.f64 (PI.f64) (*.f64 1/8 (pow.f64 f 2))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (/.f64 (log.f64 f) (PI.f64))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (fma.f64 (/.f64 (log.f64 f) (neg.f64 (PI.f64))) 1 (/.f64 (log.f64 f) (PI.f64))))
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(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (neg.f64 (PI.f64))))
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(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
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(-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 3) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2) (.f64 (/.f64 (log.f64 f) (PI.f64)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))) (/.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 3) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2) (.f64 (/.f64 (log.f64 f) (PI.f64)) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 1)
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
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(.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))
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(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
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(*.f64 (+.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (-.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))))
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(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
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(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
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(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (neg.f64 (PI.f64))))
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Outputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
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(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
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(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
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(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))) (-.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 (log.f64 f) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))) (-.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 f) (PI.f64)))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (PI.f64)))
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 -1 (PI.f64)))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (neg.f64 (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(fabs.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
(fma.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64)) (/.f64 (log.f64 f) (neg.f64 (PI.f64))))
(-.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (PI.f64))) (/.f64 (log.f64 f) (PI.f64)))
(fma.f64 1 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (neg.f64 (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(fma.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (neg.f64 (PI.f64))))
(fma.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))) (/.f64 (log.f64 f) (neg.f64 (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))

eval655.0ms (2.2%)

Compiler: Compiled 18143 to 12491 computations (31.2% saved)

prune194.0ms (0.6%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	802	10	812
Fresh	10	10	20
Picked	3	2	5
Done	0	1	1
Total	815	23	838

Accuracy

100.0%

Counts

838 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(.f64 (/.f64 (-.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) (.f64 (neg.f64 (PI.f64)) (log.f64 f))) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) -4)
	98.2%	(.f64 (/.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 2)) -4)
✓	98.2%	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
	97.0%	(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
	98.2%	(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) -4)
	98.1%	(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
	98.0%	(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 1 (/.f64 (PI.f64) (log.f64 f)))) -4)
	98.2%	(.f64 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))) -4)
	98.2%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶	98.2%	(.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
	7.8%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	97.1%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
✓	99.2%	(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
	81.4%	(neg.f64 (pow.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 3) 1/3))
	96.8%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
	81.4%	(neg.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 3))
▶	99.2%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
	99.1%	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (*.f64 f (PI.f64))))))))
▶	99.2%	(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
▶	98.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
✓	99.3%	(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 f (.f64 (PI.f64) 1/2) (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)))))))))
	97.7%	(neg.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
	81.6%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))

Compiler

Compiled 792 to 630 computations (20.5% saved)

localize634.0ms (2.1%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.9%	(log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	98.4%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
	99.6%	(*.f64 (PI.f64) f)
✓	99.5%	(/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
	98.4%	(*.f64 (PI.f64) 1/12)
✓	100.0%	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
	99.6%	(*.f64 (PI.f64) f)
✓	92.1%	(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))
	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
	99.6%	(*.f64 (PI.f64) f)
	99.3%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
✓	99.5%	(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
	99.5%	(.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))
	98.4%	(*.f64 (PI.f64) 1/12)
	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 326 to 202 computations (38% saved)

Precisions

Click to see histograms. Total time spent on operations: 469.0ms

Operation ival-div, time spent: 157.0ms, 33.0% of total-time

Operation ival-log, time spent: 102.0ms, 22.0% of total-time

Operation ival-mult, time spent: 77.0ms, 16.0% of total-time

Operation composed, time spent: 59.0ms, 13.0% of total-time

Operation ival-pow, time spent: 31.0ms, 7.0% of total-time

Operation ival-add, time spent: 17.0ms, 4.0% of total-time

Operation const, time spent: 9.0ms, 2.0% of total-time

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

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

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

Operation ival-pi, time spent: 1.0ms, 0.0% of total-time

series153.0ms (0.5%)

Counts

6 → 68

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	f	@	inf	(log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
23.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
21.0ms	f	@	0	(log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
21.0ms	f	@	-inf	(log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
20.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))

rewrite209.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`log1p-expm1-u`
352×	`associate-r`
234×	`associate-l`
203×	`expm1-log1p-u`
198×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	235
1	501	211
2	6601	211

Stop Event

1×	node limit

Counts

6 → 262

Calls

Call 1

Inputs
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))

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

simplify217.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

734×	`log-prod`
480×	`distribute-lft-neg-out`
438×	`distribute-rgt-neg-out`
418×	`fma-neg`
396×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	17308
1	1094	15256
2	3859	15130

Stop Event

1×	node limit

Counts

330 → 275

Calls

Call 1

Inputs
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f)))))) (PI.f64))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
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(+.f64 (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(+.f64 (.f64 -1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/12 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (+.f64 (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))) (.f64 4608 (/.f64 1 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 f) (PI.f64))) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 (log.f64 (/.f64 -4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 (log.f64 (/.f64 -4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 (log.f64 (/.f64 -4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))))
(log.f64 (+.f64 1 (+.f64 (/.f64 (log.f64 (/.f64 -4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 (/.f64 -1 f)) (PI.f64)))))
(+.f64 (+.f64 1 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) -1)
(+.f64 0 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 f (PI.f64))) (.f64 2 (/.f64 1 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (*.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))))))
(-.f64 (+.f64 1 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(.f64 1 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (.f64 4 (/.f64 f (PI.f64)))))
(.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 1)
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) (.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) -2)) (.f64 (cbrt.f64 (/.f64 1 (PI.f64))) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) -1/2) (.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (cbrt.f64 (PI.f64))))
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(.f64 (.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (PI.f64) -1/2)) (pow.f64 (PI.f64) -1/2))
(pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) -1)
(neg.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 2))
(log.f64 (pow.f64 (*.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (PI.f64)) 3) (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))))) 1)
(.f64 1 (pow.f64 (.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 1)
(.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) (cbrt.f64 (pow.f64 (.f64 4 (/.f64 f (PI.f64))) (.f64 2 (/.f64 1 (PI.f64))))))
(.f64 (cbrt.f64 (pow.f64 (.f64 4 (/.f64 f (PI.f64))) (.f64 2 (/.f64 1 (PI.f64))))) (cbrt.f64 (pow.f64 (.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
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(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (.f64 4 (/.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 2)
(pow.f64 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64)))))) -1)
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(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (.f64 4 (/.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 2))
(log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (.f64 4 (/.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (.f64 4 (/.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) 1)))
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(cbrt.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (.f64 4 (/.f64 f (PI.f64))))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (.f64 4 (/.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
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(exp.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (.f64 4 (/.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (*.f64 4 (/.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 1))
(+.f64 (+.f64 1 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) -1)
(+.f64 0 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))
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(.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 1)
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(.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (/.f64 1 (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(.f64 (pow.f64 (PI.f64) -1/2) (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) -1/2) (.f64 (pow.f64 (PI.f64) -1/2) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 1) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) (cbrt.f64 (pow.f64 (PI.f64) 2))) (/.f64 (sqrt.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))) 2)) (cbrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))))) (sqrt.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64))))))
(.f64 (.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) -2))) (cbrt.f64 (/.f64 1 (PI.f64))))
(.f64 (.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (pow.f64 (PI.f64) -1/2)) (pow.f64 (PI.f64) -1/2))
(/.f64 -1 (neg.f64 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))))
(/.f64 1 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(/.f64 1 (/.f64 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) 1))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (neg.f64 (neg.f64 (PI.f64))))
(/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64)))
(/.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (.f64 (PI.f64) (-.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(/.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2) (.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) -1) (.f64 (-.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2) (.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (neg.f64 (PI.f64))))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) 1) (.f64 (-.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2) (.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64)))
(/.f64 (.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2) -1) (.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(/.f64 (.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2) 1) (.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
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(/.f64 (-.f64 (.f64 (+.f64 1 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) (+.f64 1 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))) 1) (+.f64 (+.f64 1 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 1))
(/.f64 (.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) -1) (neg.f64 (PI.f64)))
(/.f64 (.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (PI.f64))) (-.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2) (*.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(/.f64 (.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 2) (/.f64 1 (PI.f64))) (log.f64 (*.f64 4 (/.f64 f (PI.f64)))))
(/.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 1) (PI.f64))
(/.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 4 (/.f64 f (PI.f64))))) -1)
(neg.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 2))
(log.f64 (pow.f64 (*.f64 4 (/.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 1 (PI.f64)) 3) (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 1 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))) 1)
(.f64 1 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 1)
(.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))) 2) (cbrt.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))))
(.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))) (sqrt.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))))
(pow.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 2))
(log.f64 (+.f64 1 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 f (PI.f64)))) (PI.f64)))) 1))

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

eval573.0ms (1.9%)

Compiler: Compiled 24559 to 17057 computations (30.5% saved)

prune399.0ms (1.3%)

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	1239	5	1244
Fresh	2	13	15
Picked	1	4	5
Done	1	2	3
Total	1243	24	1267

Accuracy

100.0%

Counts

1267 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(.f64 (/.f64 (-.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) (.f64 (neg.f64 (PI.f64)) (log.f64 f))) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) -4)
	98.2%	(.f64 (/.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 2)) -4)
✓	98.2%	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
	97.0%	(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
	98.2%	(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) -4)
	98.1%	(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
	98.0%	(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 1 (/.f64 (PI.f64) (log.f64 f)))) -4)
	98.2%	(.f64 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))) -4)
	98.2%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
✓	98.2%	(.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
	7.8%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
✓	97.1%	(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
	96.8%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
	98.2%	(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))) (PI.f64)))
	7.7%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) f))) 1)))) (*.f64 (PI.f64) 1/4)))
✓	99.2%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
	99.2%	(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (*.f64 (PI.f64) 1/4)))
	99.1%	(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (*.f64 f (PI.f64))))))))
	99.2%	(neg.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
	99.2%	(neg.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (neg.f64 (PI.f64)))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
✓	98.1%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
✓	99.3%	(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 f (.f64 (PI.f64) 1/2) (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)))))))))
	97.7%	(neg.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
	81.6%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))

Compiler

Compiled 1354 to 1001 computations (26.1% saved)

regimes81.0ms (0.3%)

Counts

48 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
(.f64 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(.f64 (log.f64 (pow.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f) (/.f64 1 (PI.f64)))) -4)
(.f64 (/.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 2)) -4)
(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 1 (/.f64 (PI.f64) (log.f64 f)))) -4)
(.f64 (/.f64 (-.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) (.f64 (neg.f64 (PI.f64)) (log.f64 f))) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) -4)
(neg.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (neg.f64 (PI.f64)))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (*.f64 f (PI.f64))))))))
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))) 3) -4)
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64)))) -4)
(neg.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
(neg.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) f))) 1)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 3))
(neg.f64 (pow.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 3) 1/3))
(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) (PI.f64))) -4)
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.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 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (cbrt.f64 (pow.f64 (PI.f64) 2)))) -4)
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (pow.f64 f 2) (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2)) 0) (PI.f64)) 0)))
(*.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)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (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)))))))))

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)))) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (*.f64 (PI.f64) 1/2) (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)))))))))

Calls

6 calls:

24.0ms	f
23.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
7.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
7.0ms	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
7.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

Results

Accuracy	Segments	Branch
99.3%	1	`f`
99.3%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
99.3%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
99.3%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
99.3%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
99.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes79.0ms (0.3%)

Counts

47 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
(.f64 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(.f64 (log.f64 (pow.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f) (/.f64 1 (PI.f64)))) -4)
(.f64 (/.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 2)) -4)
(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 1 (/.f64 (PI.f64) (log.f64 f)))) -4)
(.f64 (/.f64 (-.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) (.f64 (neg.f64 (PI.f64)) (log.f64 f))) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) -4)
(neg.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (neg.f64 (PI.f64)))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (*.f64 f (PI.f64))))))))
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))) 3) -4)
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64)))) -4)
(neg.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
(neg.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64))) (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (expm1.f64 (log1p.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) f))) 1)))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))) 3))
(neg.f64 (pow.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))) 3) 1/3))
(.f64 (.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f))) (PI.f64))) -4)
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (/.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 (cbrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) 2) (cbrt.f64 (pow.f64 (PI.f64) 2)))) -4)
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (.f64 -2 (fma.f64 (pow.f64 f 2) (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2)) 0) (PI.f64)) 0)))
(*.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)))

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

Calls

6 calls:

25.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
25.0ms	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)))))
7.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

Results

Accuracy	Segments	Branch
99.2%	1	`f`
99.2%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
99.2%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
99.2%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
99.2%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
99.2%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes20.0ms (0.1%)

Counts

32 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
(.f64 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(.f64 (log.f64 (pow.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f) (/.f64 1 (PI.f64)))) -4)
(.f64 (/.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 2)) -4)
(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 1 (/.f64 (PI.f64) (log.f64 f)))) -4)
(.f64 (/.f64 (-.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/4)) (PI.f64)) (.f64 (neg.f64 (PI.f64)) (log.f64 f))) (*.f64 (neg.f64 (PI.f64)) (PI.f64))) -4)
(neg.f64 (+.f64 (.f64 4 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (neg.f64 (PI.f64)))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (fma.f64 f (+.f64 (.f64 1/8 (PI.f64)) (.f64 (.f64 (PI.f64) 4) -1/96)) (/.f64 4 (*.f64 f (PI.f64))))))))
(*.f64 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) -4)
(*.f64 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (PI.f64)) -4)
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f)) (PI.f64))) 3) -4)
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (sqrt.f64 (PI.f64)))) -4)
(neg.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (sqrt.f64 (PI.f64))))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes11.0ms (0%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) -4)
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(neg.f64 (/.f64 (.f64 4 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))) -4)
(.f64 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))) -4)
(*.f64 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(.f64 (log.f64 (pow.f64 (/.f64 (.f64 (/.f64 2 (PI.f64)) 2) f) (/.f64 1 (PI.f64)))) -4)
(.f64 (/.f64 (.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (pow.f64 (PI.f64) 2)) -4)
(.f64 (-.f64 (/.f64 (log.f64 (.f64 (/.f64 2 (PI.f64)) 2)) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) -4)

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
98.3%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Accuracy

Total -11.0b remaining (-978.1%)

Threshold costs -11b (-978.1%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
98.2%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify26.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

300×	`unsub-neg`
222×	`neg-mul-1`
84×	`distribute-neg-out`
84×	`*-commutative`
74×	`distribute-lft-neg-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	73	411
1	121	411
2	180	411
3	225	407
4	258	403
5	367	403
6	525	403
7	548	403
8	658	403
9	769	403

Stop Event

1×	fuel
1×	saturated

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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (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)))))))))
(neg.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)

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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (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)))))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (neg.f64 (/.f64 (PI.f64) 4)) f))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (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))))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (neg.f64 (PI.f64)) 4)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (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))))))) (/.f64 1 (/.f64 (neg.f64 (PI.f64)) 4)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) (neg.f64 4))))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 f (.f64 (PI.f64) 1/2) (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))))))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (+.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12))))
(-.f64 (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (neg.f64 4)) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(-.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) (neg.f64 1/12))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(-.f64 (.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (neg.f64 (PI.f64)))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(-.f64 (.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(neg.f64 (/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (neg.f64 (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (fma.f64 f (.f64 (PI.f64) 1/12) (/.f64 4 (.f64 (PI.f64) f)))) (*.f64 (PI.f64) (neg.f64 1/4)))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) -4)
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4)
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))

Compiler

Compiled 117 to 93 computations (20.5% saved)

soundness2.0s (6.6%)

Rules

1768×	`fma-define`
1768×	`fma-define`
1768×	`fma-define`
1254×	`fma-define`
1224×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	7700
1	523	7228
2	1925	6626
0	33	584
1	98	484
2	269	484
3	800	484
4	2639	484
5	7787	484
0	174	7700
1	523	7228
2	1925	6626
0	875	14659
1	2256	14052
2	7034	14040
0	174	7700
1	523	7228
2	1925	6626
0	45	450
1	647	404
0	875	14659
1	2256	14052
2	7034	14040
0	36	296
1	594	296
2	7361	296
0	450	17308
1	1094	15256
2	3859	15130

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×	node limit

Compiler

Compiled 1069 to 810 computations (24.2% saved)

end0.0ms (0%)

preprocess95.0ms (0.3%)

Compiler: Compiled 302 to 228 computations (24.5% saved)

Iter	Nodes	Cost
0	73	411
1	121	411
2	180	411
3	225	407
4	258	403
5	367	403
6	525	403
7	548	403
8	658	403
9	769	403

Iter	Nodes	Cost
0	73	411
1	121	411
2	180	411
3	225	407
4	258	403
5	367	403
6	525	403
7	548	403
8	658	403
9	769	403

analyze404.0ms (1.3%)

sample13.8s (45.8%)

preprocess1.7s (5.5%)

eval3.0ms (0%)

prune2.0ms (0%)

localize1.9s (6.3%)

series557.0ms (1.8%)

rewrite329.0ms (1.1%)

simplify114.0ms (0.4%)

eval157.0ms (0.5%)

prune47.0ms (0.2%)

localize2.4s (7.8%)

series193.0ms (0.6%)

rewrite147.0ms (0.5%)

simplify243.0ms (0.8%)

eval453.0ms (1.5%)

prune322.0ms (1.1%)

localize1.2s (4%)

series25.0ms (0.1%)

rewrite372.0ms (1.2%)

simplify509.0ms (1.7%)

eval655.0ms (2.2%)

prune194.0ms (0.6%)

localize634.0ms (2.1%)

series153.0ms (0.5%)

rewrite209.0ms (0.7%)

simplify217.0ms (0.7%)

eval573.0ms (1.9%)

prune399.0ms (1.3%)

regimes81.0ms (0.3%)

regimes79.0ms (0.3%)

regimes20.0ms (0.1%)

regimes11.0ms (0%)

regimes8.0ms (0%)

simplify26.0ms (0.1%)

soundness2.0s (6.6%)

end0.0ms (0%)

preprocess95.0ms (0.3%)

Profiling

Iter	Nodes	Cost
0	73	411
1	121	411
2	180	411
3	225	407
4	258	403
5	367	403
6	525	403
7	548	403
8	658	403
9	769	403