Metrics for VandenBroeck and Keller, Equation (20)

analyze397.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
0%	0%	62.5%	0%	0%	25%	12.5%	4
0%	0%	56.2%	0%	0%	25%	18.7%	5
6.3%	3.1%	46.9%	0%	0%	28.1%	21.9%	6
6.5%	3.1%	45.3%	0%	0%	28.1%	23.4%	7
6.6%	3.1%	44.5%	0%	0%	28.1%	24.2%	8
8.3%	3.9%	43.3%	0%	0%	28.5%	24.2%	9
8.7%	4.1%	43.1%	0%	0%	28.5%	24.2%	10
9.1%	4.3%	42.9%	0%	0%	28.6%	24.2%	11
9.1%	4.3%	42.8%	0%	0%	28.6%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

Operation ival-div, time spent: 82.0ms, 28.0% of total-time

Operation ival-exp, time spent: 68.0ms, 23.0% of total-time

Operation ival-mult, time spent: 63.0ms, 21.0% of total-time

Operation ival-neg, time spent: 24.0ms, 8.0% of total-time

Operation ival-log, time spent: 20.0ms, 7.0% of total-time

Operation ival-add, time spent: 11.0ms, 4.0% of total-time

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

Operation const, time spent: 8.0ms, 3.0% of total-time

Operation ival-pi, time spent: 8.0ms, 3.0% of total-time

sample12.7s (39.2%)

Results

3.9s	3964×	1024	valid
3.2s	3922×	1024	invalid
1.3s	2055×	512	valid
929.0ms	2034×	512	invalid
911.0ms	1851×	256	valid
385.0ms	1051×	256	invalid
647.0ms	385×	2048	valid
0.0ms	2×	256	unsamplable
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 8.8s

Operation ival-div, time spent: 2.5s, 29.0% of total-time

Operation ival-exp, time spent: 2.0s, 22.0% of total-time

Operation ival-mult, time spent: 1.7s, 20.0% of total-time

Operation ival-log, time spent: 970.0ms, 11.0% of total-time

Operation ival-neg, time spent: 756.0ms, 9.0% of total-time

Operation ival-pi, time spent: 267.0ms, 3.0% of total-time

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

Operation ival-sub, time spent: 198.0ms, 2.0% of total-time

Operation const, time spent: 168.0ms, 2.0% of total-time

Bogosity

preprocess2.2s (6.8%)

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	Underpredictions	Example	Subexpression
249	-	2	(0.0066163580163567486)	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
3	-	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)))))`
3	-	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))))))`
1	-	0	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`
1	-	0	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	-	0	-	`(PI.f64)`
0	-	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	-	0	-	`(*.f64 (/.f64 (PI.f64) 4) f)`
0	-	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	-	0	-	`f`
0	-	0	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	-	0	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
0	-	0	-	`(/.f64 (PI.f64) 4)`
0	-	0	-	`4`
0	-	0	-	`1`
0	-	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: 1.5s

Operation ival-div, time spent: 464.0ms, 30.0% of total-time

Operation ival-exp, time spent: 423.0ms, 27.0% of total-time

Operation ival-mult, time spent: 396.0ms, 26.0% of total-time

Operation ival-log, time spent: 90.0ms, 6.0% of total-time

Operation ival-neg, time spent: 72.0ms, 5.0% of total-time

Operation ival-sub, time spent: 32.0ms, 2.0% of total-time

Operation ival-add, time spent: 32.0ms, 2.0% of total-time

Operation const, time spent: 25.0ms, 2.0% of total-time

Operation ival-pi, time spent: 6.0ms, 0.0% 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
▶	7.7%	(/.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))
▶	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

7.7%

(/.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))

▶

7.7%

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

Compiler

Compiled 71 to 55 computations (22.5% saved)

localize2.7s (8.4%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.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))
✓	99.2%	(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))))
✓	98.4%	(/.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)))
✓	11.8%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.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)))))))
✓	99.2%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
✓	98.4%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	11.8%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 341 to 245 computations (28.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.1s

Operation ival-pow, time spent: 641.0ms, 31.0% of total-time

Operation ival-exp, time spent: 538.0ms, 26.0% of total-time

Operation ival-div, time spent: 475.0ms, 23.0% of total-time

Operation ival-neg, time spent: 122.0ms, 6.0% of total-time

Operation ival-mult, time spent: 110.0ms, 5.0% of total-time

Operation ival-log, time spent: 82.0ms, 4.0% of total-time

Operation ival-add, time spent: 65.0ms, 3.0% of total-time

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

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

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

series303.0ms (0.9%)

Counts

8 → 96

Calls

24 calls:

Time	Variable		Point	Expression
108.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
62.0ms	f	@	-inf	(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))))
59.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
31.0ms	f	@	inf	(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))))
6.0ms	f	@	0	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))

rewrite261.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

386×	`associate-r`
274×	`associate-l`
242×	`add-exp-log`
240×	`add-log-exp`
239×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	224
1	554	224

Stop Event

1×	node limit

Counts

8 → 128

Calls

Call 1

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

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

simplify135.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1100×	`times-frac`
902×	`distribute-lft-in`
896×	`distribute-rgt-in`
830×	`associate-+r+`
806×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	9998
1	533	9226
2	2014	8316

Stop Event

1×	node limit

Counts

224 → 90

Calls

Call 1

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

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
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(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64)) (.f64 -2 (+.f64 (.f64 f (/.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0)) (PI.f64))) (.f64 (pow.f64 f 2) (/.f64 (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))) (PI.f64))))))
(fma.f64 -2 (fma.f64 f (/.f64 (.f64 (PI.f64) 0) (PI.f64)) (.f64 (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) 2))) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0)) (/.f64 (pow.f64 f 2) (PI.f64)))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4))
(fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 (fma.f64 (.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))) -2 0))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))))) (PI.f64)) -4)
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (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 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) (/.f64 -4 (PI.f64)))
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16
-16
-4
-2
-1
-1/2
-1/4
0
1/16
1/4
1/2
1
3/2
2
3
4
16

eval79.0ms (0.2%)

Compiler: Compiled 4475 to 3367 computations (24.8% saved)

prune44.0ms (0.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	78	12	90
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	79	13	92

Accuracy

97.7%

Counts

92 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	7.7%	(/.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 (PI.f64) -4))
	95.7%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
▶	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶	96.6%	(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)))))
▶	95.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	97.1%	(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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))))))
	97.1%	(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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
✓	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
▶	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
	95.5%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))

Compiler

Compiled 798 to 628 computations (21.3% saved)

localize1.7s (5.3%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(.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)))
✓	100.0%	(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
✓	99.9%	(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	98.9%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))
✓	99.7%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	99.3%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))
✓	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.4%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.3%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	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 763 to 571 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.4s

Operation ival-mult, time spent: 528.0ms, 37.0% of total-time

Operation composed, time spent: 270.0ms, 19.0% of total-time

Operation ival-pow, time spent: 189.0ms, 13.0% of total-time

Operation ival-div, time spent: 164.0ms, 11.0% of total-time

Operation ival-log, time spent: 106.0ms, 7.0% of total-time

Operation ival-add, time spent: 63.0ms, 4.0% of total-time

Operation ival-exp, time spent: 47.0ms, 3.0% of total-time

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

Operation ival-neg, time spent: 23.0ms, 2.0% of total-time

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

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

series224.0ms (0.7%)

Counts

18 → 128

Calls

33 calls:

Time	Variable		Point	Expression
80.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))
24.0ms	f	@	0	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
23.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))
18.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
17.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

rewrite66.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

630×	`associate-r`
304×	`cbrt-prod`
298×	`log1p-expm1-u`
298×	`expm1-log1p-u`
296×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	254
1	723	254

Stop Event

1×	node limit

Counts

18 → 487

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 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))
(*.f64 (/.f64 (PI.f64) 4) f)
(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))
(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(.f64 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)

Outputs
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-1/48
-1/96
1/884736
1/36864
1/9216
1/192
1/96
1/48
193/9216
193/96
385/96
193/48
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-1/48
-1/96
1/884736
1/36864
1/9216
1/192
1/96
1/48
193/9216
193/96
385/96
193/48
-1/48
-1/96
1/884736
1/36864
1/9216
1/192
1/96
1/48
193/9216
193/96
385/96
193/48
(+.f64 -256 (log.f64 -1/48))
(+.f64 (log.f64 -1/48) -256)
(+.f64 (log.f64 -1/48) (log.f64 -1/48))
(-.f64 (log.f64 -1/48) -256)
(/.f64 -256 (/.f64 -256 (log.f64 -1/48)))
(/.f64 (log.f64 -1/48) -256)
(/.f64 (neg.f64 (log.f64 -1/48)) -256)
(pow.f64 (log.f64 -1/48) -256)
(pow.f64 (log.f64 -1/48) 1/3)
(sqrt.f64 (log.f64 -1/48))
(fabs.f64 (log.f64 -1/48))
(log.f64 -1/48)
(cbrt.f64 (log.f64 -1/48))
(expm1.f64 (log.f64 (log.f64 -1/48)))
(log1p.f64 -1/48)
(exp.f64 (log.f64 (log.f64 -1/48)))
(exp.f64 (*.f64 (log.f64 (log.f64 -1/48)) -256))
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256

simplify157.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1868×	`fma-define`
1226×	`times-frac`
814×	`*-commutative`
740×	`associate-/r*`
710×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	5744
1	609	5484
2	2198	5435
3	7407	5397

Stop Event

1×	node limit

Counts

615 → 195

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 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(log.f64 1/8)
(+.f64 (log.f64 1/8) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))))
(+.f64 (log.f64 1/8) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))))))
(+.f64 (log.f64 1/8) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)) (.f64 3 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))))))
(log.f64 (.f64 1/16 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/16 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/16 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/16 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/16 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/16 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/16 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/16 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.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 1/4 (.f64 f (PI.f64)))
1
(+.f64 1 (.f64 -1/4 (.f64 f (PI.f64))))
(+.f64 1 (+.f64 (.f64 -1/4 (.f64 f (PI.f64))) (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 1 (+.f64 (.f64 -1/4 (.f64 f (PI.f64))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))))
(exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(exp.f64 (neg.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))))
(.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)))
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-1/48
-1/96
1/884736
1/36864
1/9216
1/192
1/96
1/48
193/9216
193/96
385/96
193/48
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-1/48
-1/96
1/884736
1/36864
1/9216
1/192
1/96
1/48
193/9216
193/96
385/96
193/48
-1/48
-1/96
1/884736
1/36864
1/9216
1/192
1/96
1/48
193/9216
193/96
385/96
193/48
(+.f64 -256 (log.f64 -1/48))
(+.f64 (log.f64 -1/48) -256)
(+.f64 (log.f64 -1/48) (log.f64 -1/48))
(-.f64 (log.f64 -1/48) -256)
(/.f64 -256 (/.f64 -256 (log.f64 -1/48)))
(/.f64 (log.f64 -1/48) -256)
(/.f64 (neg.f64 (log.f64 -1/48)) -256)
(pow.f64 (log.f64 -1/48) -256)
(pow.f64 (log.f64 -1/48) 1/3)
(sqrt.f64 (log.f64 -1/48))
(fabs.f64 (log.f64 -1/48))
(log.f64 -1/48)
(cbrt.f64 (log.f64 -1/48))
(expm1.f64 (log.f64 (log.f64 -1/48)))
(log1p.f64 -1/48)
(exp.f64 (log.f64 (log.f64 -1/48)))
(exp.f64 (*.f64 (log.f64 (log.f64 -1/48)) -256))
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256

Outputs
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (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))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (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))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (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))) (log.f64 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (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 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (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 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (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 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (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 f)) (PI.f64)))
(/.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (PI.f64))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 4 (PI.f64)))
(*.f64 4 (/.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))) (/.f64 4 (PI.f64)))
(*.f64 4 (/.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))) (/.f64 4 (PI.f64)))
(*.f64 4 (/.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))) (/.f64 4 (PI.f64)))
(*.f64 4 (/.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))) (/.f64 4 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
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(fma.f64 4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (fma.f64 (/.f64 (/.f64 1 (pow.f64 f 2)) (pow.f64 (PI.f64) 3)) 192 (.f64 (/.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4))) (pow.f64 (PI.f64) 2)) -4608)))
(-.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 (+.f64 (fma.f64 4 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (log.f64 (neg.f64 (.f64 (PI.f64) 1/12)))) (PI.f64)) (/.f64 16 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/12))))) (/.f64 256/3 (.f64 (pow.f64 f 6) (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) (pow.f64 (PI.f64) 4))))) (/.f64 32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) 1/12) 2)))))
(fma.f64 4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (+.f64 (/.f64 16 (.f64 (pow.f64 f 2) (.f64 (pow.f64 (PI.f64) 3) 1/12))) (-.f64 (/.f64 256/3 (.f64 (pow.f64 f 6) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/1728) (pow.f64 (PI.f64) 4)))) (/.f64 32 (.f64 (pow.f64 (PI.f64) 3) (.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/144) (pow.f64 f 4)))))))
(+.f64 (+.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 f 2)) (pow.f64 (PI.f64) 3)) 192) (/.f64 (/.f64 256/3 (.f64 (pow.f64 (PI.f64) 3) 1/1728)) (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 4)))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -32 (.f64 (pow.f64 f 4) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 1/144))))))
(+.f64 (/.f64 (/.f64 256/3 (.f64 (pow.f64 (PI.f64) 3) 1/1728)) (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 4))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/12)) (log.f64 (/.f64 -1 f))) (PI.f64)) (fma.f64 (/.f64 (/.f64 1 (pow.f64 f 2)) (pow.f64 (PI.f64) 3)) 192 (.f64 (/.f64 (/.f64 1 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 4))) (pow.f64 (PI.f64) 2)) -4608))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 (PI.f64) f))
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-1/48
-1/96
1/884736
1/36864
1/9216
1/192
1/96
1/48
193/9216
193/96
385/96
193/48
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256
-1/48
-1/96
1/884736
1/36864
1/9216
1/192
1/96
1/48
193/9216
193/96
385/96
193/48
-1/48
-1/96
1/884736
1/36864
1/9216
1/192
1/96
1/48
193/9216
193/96
385/96
193/48
(+.f64 -256 (log.f64 -1/48))
(+.f64 (log.f64 -1/48) -256)
(+.f64 -256 (log.f64 -1/48))
(+.f64 (log.f64 -1/48) (log.f64 -1/48))
(*.f64 2 (log.f64 -1/48))
(-.f64 (log.f64 -1/48) -256)
(+.f64 (log.f64 -1/48) 256)
(/.f64 -256 (/.f64 -256 (log.f64 -1/48)))
(*.f64 1 (log.f64 -1/48))
(log.f64 -1/48)
(/.f64 (log.f64 -1/48) -256)
(*.f64 (log.f64 -1/48) -1/256)
(/.f64 (neg.f64 (log.f64 -1/48)) -256)
(/.f64 (log.f64 -1/48) 256)
(*.f64 (log.f64 -1/48) 1/256)
(pow.f64 (log.f64 -1/48) -256)
(pow.f64 (log.f64 -1/48) 1/3)
(cbrt.f64 (log.f64 -1/48))
(sqrt.f64 (log.f64 -1/48))
(fabs.f64 (log.f64 -1/48))
(log.f64 -1/48)
(*.f64 1 (log.f64 -1/48))
(cbrt.f64 (log.f64 -1/48))
(expm1.f64 (log.f64 (log.f64 -1/48)))
(-.f64 (log.f64 -1/48) 1)
(+.f64 (log.f64 -1/48) -1)
(+.f64 -1 (log.f64 -1/48))
(log1p.f64 -1/48)
(log.f64 47/48)
(exp.f64 (log.f64 (log.f64 -1/48)))
(*.f64 1 (log.f64 -1/48))
(log.f64 -1/48)
(exp.f64 (*.f64 (log.f64 (log.f64 -1/48)) -256))
(pow.f64 (log.f64 -1/48) -256)
-256
-16
-4
-2
-1
-1/2
-1/4
-1/16
0
1/256
1/16
1/8
1/4
1/2
3/4
1
5/4
3/2
7/4
2
5/2
3
7/2
4
5
6
7
10
14
16
256

eval197.0ms (0.6%)

Compiler: Compiled 8724 to 6736 computations (22.8% saved)

prune67.0ms (0.2%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	236	7	243
Fresh	3	4	7
Picked	2	3	5
Done	0	1	1
Total	241	15	256

Accuracy

97.7%

Counts

256 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(/.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 (PI.f64) -4))
	95.7%	(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
✓	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶	96.7%	(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))))))
✓	96.6%	(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)))))
✓	95.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	1.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	97.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (.f64 (PI.f64) f) -1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))))))
	97.1%	(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)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
✓	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	1.7%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
▶	1.6%	(neg.f64 (log1p.f64 -1/48))

Compiler

Compiled 748 to 591 computations (21% saved)

localize3.3s (10.2%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.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 (PI.f64) -4))
✓	99.2%	(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)))))))
✓	98.4%	(/.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))))))
✓	11.8%	(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
✓	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)))
✓	99.5%	(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
✓	99.5%	(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
✓	98.4%	(*.f64 (PI.f64) 1/12)
✓	98.4%	(log.f64 (*.f64 (PI.f64) 1/12))
✓	98.4%	(log1p.f64 -1/48)
✓	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 717 to 486 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.8s

Operation ival-log, time spent: 590.0ms, 21.0% of total-time

Operation ival-mult, time spent: 564.0ms, 20.0% of total-time

Operation composed, time spent: 474.0ms, 17.0% of total-time

Operation ival-pow, time spent: 393.0ms, 14.0% of total-time

Operation ival-exp, time spent: 233.0ms, 8.0% of total-time

Operation ival-div, time spent: 181.0ms, 7.0% of total-time

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

Operation ival-neg, time spent: 102.0ms, 4.0% of total-time

Operation const, time spent: 68.0ms, 2.0% of total-time

Operation ival-sub, time spent: 13.0ms, 0.0% of total-time

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

series63.0ms (0.2%)

Counts

15 → 48

Calls

21 calls:

Time	Variable		Point	Expression
22.0ms	f	@	0	(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
11.0ms	f	@	inf	(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)))))))
7.0ms	f	@	-inf	(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)))))))
4.0ms	f	@	inf	(/.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 (PI.f64) -4))
2.0ms	f	@	0	(/.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 (PI.f64) -4))

rewrite172.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`associate-r`
289×	`log1p-expm1-u`
289×	`expm1-log1p-u`
287×	`add-exp-log`
284×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	532
1	663	532

Stop Event

1×	node limit

Counts

15 → 410

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(log1p.f64 -1/48)
(log.f64 (*.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) 1/12)
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12))) (PI.f64))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) 1/12)))
(log.f64 (/.f64 4 (PI.f64)))
(*.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 (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))))))
(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 (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 (PI.f64) -4))

Outputs
(-.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 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.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) (pow.f64 (cbrt.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) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(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 (log.f64 47/48))) 1)
(*.f64 1 (log.f64 47/48))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 47/48)) 2) (cbrt.f64 (log.f64 47/48)))
(*.f64 (sqrt.f64 (log.f64 47/48)) (sqrt.f64 (log.f64 47/48)))
(pow.f64 (log.f64 47/48) 1)
(pow.f64 (cbrt.f64 (log.f64 47/48)) 3)
(pow.f64 (pow.f64 (log.f64 47/48) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 47/48)) 2)
(sqrt.f64 (pow.f64 (log.f64 47/48) 2))
(log.f64 47/48)
(cbrt.f64 (pow.f64 (log.f64 47/48) 3))
(expm1.f64 (log1p.f64 (log.f64 47/48)))
(exp.f64 (log.f64 (log.f64 47/48)))
(exp.f64 (*.f64 (log.f64 (log.f64 47/48)) 1))
(+.f64 (log.f64 (PI.f64)) (log.f64 1/12))
(+.f64 (log.f64 1/12) (log.f64 (PI.f64)))
(+.f64 0 (log.f64 (*.f64 (PI.f64) 1/12)))
(+.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/144))) (log.f64 (cbrt.f64 (.f64 (PI.f64) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) 1/12))) (log.f64 (sqrt.f64 (.f64 (PI.f64) 1/12))))
(+.f64 (.f64 (log.f64 (PI.f64)) 1) (.f64 (log.f64 1/12) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) 1/12)))) 1)
(-.f64 (log.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) -1/13824) (.f64 (pow.f64 (PI.f64) 3) 1/512))) (log.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (.f64 (PI.f64) 1/8) (-.f64 (.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(-.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/12) (.f64 (PI.f64) -1/6))) (log.f64 (.f64 (PI.f64) -1/6)))
(.f64 1 (log.f64 (.f64 (PI.f64) 1/12)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/12))) 2) (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) 1/12))) (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(/.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) 3) (pow.f64 (log.f64 1/12) 3)) (+.f64 (.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (-.f64 (.f64 (log.f64 1/12) (log.f64 1/12)) (*.f64 (log.f64 (PI.f64)) (log.f64 1/12)))))
(/.f64 (-.f64 (.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (.f64 (log.f64 1/12) (log.f64 1/12))) (-.f64 (log.f64 (PI.f64)) (log.f64 1/12)))
(pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 1)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (PI.f64) 1/12))) 2)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) 1/12)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(log1p.f64 (-.f64 (*.f64 (PI.f64) 1/12) 1))
(exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) 1/12))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (PI.f64) 1/12))) 1))
(+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(+.f64 (.f64 (.f64 (PI.f64) 1/8) 1) (.f64 (.f64 (PI.f64) -1/24) 1))
(+.f64 (.f64 (.f64 (PI.f64) -1/24) 1) (.f64 (.f64 (PI.f64) 1/8) 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 1 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (.f64 (PI.f64) 1/8) (-.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) -1/13824) (*.f64 (pow.f64 (PI.f64) 3) 1/512))))
(/.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) -1/13824) (.f64 (pow.f64 (PI.f64) 3) 1/512)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (.f64 (PI.f64) 1/8) (-.f64 (.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(/.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) -1/13824) (.f64 (pow.f64 (PI.f64) 3) 1/512))) (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576) (.f64 (.f64 (PI.f64) 1/8) (-.f64 (.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24))))))
(/.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) 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 (.f64 (PI.f64) 1/8) (*.f64 (PI.f64) -1/24)))))
(/.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 (PI.f64) -1/24)))
(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)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (PI.f64) 1/12)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/12))) 2)) (cbrt.f64 (log.f64 (.f64 (PI.f64) 1/12))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) 1/12)))) (sqrt.f64 (log.f64 (.f64 (PI.f64) 1/12))))
(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 (PI.f64) -1/24 (*.f64 (PI.f64) 1/8))
(fma.f64 (PI.f64) 1/8 (*.f64 (PI.f64) -1/24))
(fma.f64 -1/24 (PI.f64) (*.f64 (PI.f64) 1/8))
(fma.f64 1/8 (PI.f64) (*.f64 (PI.f64) -1/24))
(fma.f64 1 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) 1/8))
(fma.f64 1 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) -1/24))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/576)) (cbrt.f64 (.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/24))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) -1/24)) (sqrt.f64 (.f64 (PI.f64) -1/24)) (*.f64 (PI.f64) 1/8))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)) (sqrt.f64 (.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) -1/24))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64)))) 1)
(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(.f64 (neg.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12))) 1) (/.f64 (sqrt.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (.f64 (.f64 (PI.f64) f) 1/12))) -1)
(neg.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (neg.f64 (PI.f64))))
(neg.f64 (/.f64 (neg.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12))) (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64)) 2))
(log.f64 (pow.f64 (.f64 (.f64 (PI.f64) f) 1/12) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12)))) 1)
(-.f64 (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (/.f64 f (.f64 (PI.f64) 1/12)))) (/.f64 (pow.f64 (log.f64 (.f64 (PI.f64) 1/12)) 2) (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12)))))
(.f64 1 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12))) 2) (cbrt.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12))))
(.f64 (sqrt.f64 (log.f64 (.f64 (.f64 (PI.f64) f) 1/12))) (sqrt.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12))))
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(.f64 (-.f64 (pow.f64 (log.f64 f) 2) (pow.f64 (log.f64 (.f64 (PI.f64) 1/12)) 2)) (/.f64 1 (log.f64 (/.f64 f (*.f64 (PI.f64) 1/12)))))
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(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 4 (PI.f64)))
(.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) -1/4))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (PI.f64)) -4)
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (cbrt.f64 (*.f64 (PI.f64) -1/4))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) -1/4))) (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (sqrt.f64 (*.f64 (PI.f64) -1/4))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 2) (PI.f64)) (/.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) -1/4))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) -1/4)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 2) (sqrt.f64 (.f64 (PI.f64) -1/4))) (/.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (sqrt.f64 (*.f64 (PI.f64) -1/4))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) -1/4))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) -1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (cbrt.f64 (*.f64 (PI.f64) -1/4))))
(pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))) 2)
(pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) -1)
(neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 1))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))) 1))

simplify328.0ms (1%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-define`
524×	`associate-/l*`
504×	`sqr-pow`
462×	`times-frac`
334×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1021	16975
1	2766	12235

Stop Event

1×	node limit

Counts

458 → 552

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/12 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 1/12 (.f64 f (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (+.f64 (log.f64 -1) (+.f64 (neg.f64 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 1/12 (PI.f64))))) (PI.f64))
(/.f64 (-.f64 (+.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 1/12)) (log.f64 (/.f64 -1 f))) (PI.f64))
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(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2)))
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(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
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(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
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(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) 0)) (/.f64 -4 (PI.f64)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) 0))) 2) (cbrt.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)))))
(.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 0))) 2) (/.f64 (cbrt.f64 (/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 2) (sqrt.f64 (.f64 (PI.f64) -1/4))) (/.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (sqrt.f64 (*.f64 (PI.f64) -1/4))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) -1/4))) (/.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) 0)) (sqrt.f64 (*.f64 (PI.f64) -1/4))))
(/.f64 (/.f64 (neg.f64 (log.f64 0)) (sqrt.f64 (.f64 (PI.f64) -1/4))) (sqrt.f64 (.f64 (PI.f64) -1/4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (PI.f64)) (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) -1/4))
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (.f64 (PI.f64) -1/4)))
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/16))) (/.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (cbrt.f64 (*.f64 (PI.f64) -1/4))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (/.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) 0)) (cbrt.f64 (*.f64 (PI.f64) -1/4))))
(/.f64 (/.f64 (neg.f64 (log.f64 0)) (cbrt.f64 (.f64 (PI.f64) -1/4))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2))))
(pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 1)
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))) 3)
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 3) 1/3)
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(pow.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))) 2)
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(pow.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) -1)
(/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 0))))
(/.f64 1 (*.f64 (PI.f64) (/.f64 -1/4 (neg.f64 (log.f64 0)))))
(neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (*.f64 (PI.f64) -1/4)))
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(sqrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 2))
(sqrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 0)) (/.f64 -4 (PI.f64))) 2))
(fabs.f64 (/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64)))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) 0) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 -1 0) (/.f64 -4 (PI.f64))) -1))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64))) 3))
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) 3) (pow.f64 (*.f64 (PI.f64) -1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) 0)) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/64)))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 0)) 3) (*.f64 (pow.f64 (PI.f64) 3) -1/64)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64)))) 0)) (/.f64 -4 (PI.f64)))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) 0) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 -1 0) (/.f64 -4 (PI.f64))) -1))
(exp.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))) 1))
(-.f64 (/.f64 (log.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))) (.f64 (PI.f64) -1/4)) (/.f64 (log.f64 0) (.f64 (PI.f64) -1/4)))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))

eval486.0ms (1.5%)

Compiler: Compiled 20905 to 14870 computations (28.9% saved)

prune109.0ms (0.3%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	587	7	594
Fresh	4	2	6
Picked	3	2	5
Done	0	4	4
Total	594	15	609

Accuracy

97.7%

Counts

609 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	3.1%	(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
▶	95.7%	(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) -4))
▶	97.3%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 (PI.f64) -4))
	97.3%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 (PI.f64) -4))
✓	7.7%	(/.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 (PI.f64) -4))
✓	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
▶	96.7%	(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))))
✓	96.6%	(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)))))
✓	95.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
▶	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
✓	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
✓	1.6%	(neg.f64 (log1p.f64 -1/48))
	12.7%	(neg.f64 (fabs.f64 (log.f64 47/48)))

Compiler

Compiled 589 to 461 computations (21.7% saved)

localize1.5s (4.6%)

Localize:

Found 5 expressions with local error:

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

Compiler

Compiled 698 to 482 computations (30.9% saved)

Precisions

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

Operation ival-mult, time spent: 420.0ms, 38.0% of total-time

Operation ival-pow, time spent: 243.0ms, 22.0% of total-time

Operation composed, time spent: 103.0ms, 9.0% of total-time

Operation ival-div, time spent: 103.0ms, 9.0% of total-time

Operation ival-log, time spent: 84.0ms, 8.0% of total-time

Operation ival-add, time spent: 54.0ms, 5.0% of total-time

Operation ival-exp, time spent: 47.0ms, 4.0% of total-time

Operation const, time spent: 29.0ms, 3.0% of total-time

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

Operation ival-sub, time spent: 9.0ms, 1.0% of total-time

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

series0.0ms (0%)

Counts: 5 → 0

rewrite130.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1294×	`prod-diff`
920×	`log-prod`
737×	`log1p-expm1-u`
737×	`expm1-log1p-u`
552×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	15
1	24	15
2	235	15
3	2422	15

Stop Event

1×	node limit

Counts

5 → 315

Calls

Call 1

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

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

simplify132.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1670×	`log-prod`
1024×	`associate-+l+`
978×	`associate-+r+`
514×	`unswap-sqr`
462×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	4005
1	368	3805
2	1436	3725
3	7030	3725

Stop Event

1×	node limit

Counts

315 → 83

Calls

Call 1

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

Outputs
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(.f64 2 (.f64 1/2 (PI.f64)))
(PI.f64)
(.f64 1/3 (.f64 3 (PI.f64)))
(PI.f64)
(.f64 3 (.f64 1/3 (PI.f64)))
(PI.f64)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(PI.f64)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/4) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/4))))
(PI.f64)
(*.f64 (log.f64 (E.f64)) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 1 1/3) (PI.f64))
(PI.f64)
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2) 1/3) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 5/2) 1/3) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) 1/6))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 8)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5/2)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (pow.f64 (PI.f64) 5/2)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/4)) (pow.f64 (PI.f64) 1/4))
(PI.f64)
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) 3/2)) (pow.f64 (PI.f64) 1/4))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 5)))
(*.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 5/2))
(.f64 (.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(PI.f64)
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (PI.f64) 1/6)) (pow.f64 (PI.f64) 1/6))
(PI.f64)
(/.f64 (-.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) 1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 1 (+.f64 (PI.f64) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (PI.f64) 1) 3) -1) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (PI.f64) 1) 3)) (+.f64 1 (*.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 2))))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (+.f64 (PI.f64) 1) 1))
(/.f64 (fma.f64 (+.f64 (PI.f64) 1) (+.f64 (PI.f64) 1) -1) (+.f64 (PI.f64) 2))
(/.f64 (*.f64 (+.f64 (PI.f64) 2) (PI.f64)) (+.f64 (PI.f64) 2))
(*.f64 (+.f64 (PI.f64) 2) (/.f64 (PI.f64) (+.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 1)
(PI.f64)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 2) 1/2)
(PI.f64)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(PI.f64)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(PI.f64)
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(PI.f64)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (PI.f64)))) (sqrt.f64 (log.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (PI.f64) 2))
(PI.f64)
(fabs.f64 (PI.f64))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(PI.f64)
(cbrt.f64 (pow.f64 (PI.f64) 3))
(PI.f64)
(expm1.f64 (log1p.f64 (PI.f64)))
(PI.f64)
(log1p.f64 (expm1.f64 (PI.f64)))
(PI.f64)
(exp.f64 (log.f64 (PI.f64)))
(PI.f64)
(fma.f64 1 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(fma.f64 (+.f64 (PI.f64) 1) 1 -1)
(PI.f64)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (PI.f64) 1)) (cbrt.f64 (+.f64 (PI.f64) 1))) (cbrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(fma.f64 (sqrt.f64 (+.f64 (PI.f64) 1)) (sqrt.f64 (+.f64 (PI.f64) 1)) -1)
(PI.f64)
(+.f64 (PI.f64) 0)
(PI.f64)
(+.f64 (+.f64 (PI.f64) 1) -1)
(PI.f64)
(+.f64 0 (PI.f64))
(PI.f64)
(+.f64 (.f64 2 (.f64 1/3 (PI.f64))) (*.f64 1/3 (PI.f64)))
(PI.f64)
(+.f64 (.f64 1/3 (PI.f64)) (.f64 2 (*.f64 1/3 (PI.f64))))
(PI.f64)
(+.f64 (.f64 1/2 (PI.f64)) (.f64 1/2 (PI.f64)))
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) 1)
(PI.f64)
(-.f64 (+.f64 (PI.f64) 1) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (PI.f64)) 3)) (log1p.f64 (-.f64 (pow.f64 (expm1.f64 (PI.f64)) 2) (expm1.f64 (PI.f64)))))
(-.f64 (log.f64 (pow.f64 (E.f64) (+.f64 (PI.f64) 1))) (log.f64 (E.f64)))
(PI.f64)
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log.f64 (-.f64 1 (expm1.f64 (PI.f64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (PI.f64)) 2))) (log1p.f64 (neg.f64 (expm1.f64 (PI.f64)))))
(*.f64 (PI.f64) 1)
(PI.f64)
(*.f64 (PI.f64) (log.f64 (E.f64)))
(PI.f64)
(*.f64 1 (PI.f64))
(PI.f64)
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(PI.f64)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (cbrt.f64 (PI.f64)))
(PI.f64)
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(.f64 2 (.f64 1/2 (PI.f64)))
(PI.f64)
(.f64 1/3 (.f64 3 (PI.f64)))
(PI.f64)
(.f64 3 (.f64 1/3 (PI.f64)))
(PI.f64)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2))))
(PI.f64)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 4))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (pow.f64 (PI.f64) 1/6) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (pow.f64 (PI.f64) 1/6))))
(PI.f64)
(*.f64 (pow.f64 (PI.f64) 1/6) (log.f64 (pow.f64 (exp.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))))
(.f64 (pow.f64 (PI.f64) 1/6) (.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6)))
(*.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (pow.f64 (PI.f64) 3/2)))
(*.f64 (pow.f64 (PI.f64) 1/4) (fabs.f64 (pow.f64 (PI.f64) 3/4)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 3/4))
(.f64 (pow.f64 (PI.f64) 1/4) (.f64 (pow.f64 (PI.f64) 1/4) (sqrt.f64 (PI.f64))))
(PI.f64)
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eval1.6s (4.8%)

Compiler: Compiled 63970 to 45095 computations (29.5% saved)

prune478.0ms (1.5%)

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	1486	8	1494
Fresh	0	4	4
Picked	0	5	5
Done	0	6	6
Total	1486	23	1509

Accuracy

98.0%

Counts

1509 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	3.1%	(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
	94.6%	(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) -4))
	95.2%	(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) -4))
✓	95.7%	(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) -4))
✓	97.3%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 (PI.f64) -4))
	97.3%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 (PI.f64) -4))
✓	7.7%	(/.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 (PI.f64) -4))
✓	95.6%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	95.8%	(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (pow.f64 (sqrt.f64 (PI.f64)) 2))) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
	96.1%	(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (cbrt.f64 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
✓	96.7%	(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))))
	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64)))) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
✓	96.6%	(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)))))
✓	95.5%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (pow.f64 (sqrt.f64 (PI.f64)) 2))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
✓	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
	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 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
✓	7.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
	1.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
✓	1.6%	(neg.f64 (log1p.f64 -1/48))
	12.7%	(neg.f64 (fabs.f64 (log.f64 47/48)))

Compiler

Compiled 1604 to 1211 computations (24.5% saved)

regimes64.0ms (0.2%)

Counts

36 → 1

Calls

Call 1

Inputs
(neg.f64 (log1p.f64 -1/48))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) -4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (fabs.f64 (log.f64 47/48)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) -4))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) -4))
(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 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (+.f64 (.f64 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 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (cbrt.f64 (pow.f64 (PI.f64) 3)))) (.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))) (pow.f64 (sqrt.f64 (PI.f64)) 2))) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
(/.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 (PI.f64) -4))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (pow.f64 (sqrt.f64 (PI.f64)) 2))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 (PI.f64) -4))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 (PI.f64) -4))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (.f64 (PI.f64) f) -1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))))))
(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 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (PI.f64))) 2)) (cbrt.f64 (log.f64 (PI.f64)))) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))

Outputs

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

Calls

6 calls:

19.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
18.0ms	f
6.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms	(/.f64 (+.f64 (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
97.3%	1	`f`
97.3%	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))))))))`
97.3%	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)))))))`
97.3%	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))))))`
97.3%	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)))))`
97.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes61.0ms (0.2%)

Counts

32 → 1

Calls

Call 1

Inputs
(neg.f64 (log1p.f64 -1/48))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) -4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (fabs.f64 (log.f64 47/48)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) -4))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) -4))
(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 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (+.f64 (.f64 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 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (cbrt.f64 (pow.f64 (PI.f64) 3)))) (.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))) (pow.f64 (sqrt.f64 (PI.f64)) 2))) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
(/.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 (PI.f64) -4))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (pow.f64 (sqrt.f64 (PI.f64)) 2))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 (PI.f64) -4))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))))

Outputs

(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 -1/4 (*.f64 f (PI.f64)))) (exp.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (fma.f64 f (*.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 (PI.f64) -4))

Calls

6 calls:

18.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
17.0ms	f
6.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
5.0ms	(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))))))

Results

Accuracy	Segments	Branch
97.3%	1	`f`
97.3%	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))))))))`
97.3%	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)))))))`
97.3%	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))))))`
97.3%	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)))))`
97.3%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes55.0ms (0.2%)

Counts

30 → 1

Calls

Call 1

Inputs
(neg.f64 (log1p.f64 -1/48))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) -4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (fabs.f64 (log.f64 47/48)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) -4))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) -4))
(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 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (+.f64 (.f64 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 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(neg.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (cbrt.f64 (pow.f64 (PI.f64) 3)))) (.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))) (pow.f64 (sqrt.f64 (PI.f64)) 2))) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/12))))
(/.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 (PI.f64) -4))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (*.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f)) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 (PI.f64) -4))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (pow.f64 (sqrt.f64 (PI.f64)) 2))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (pow.f64 (exp.f64 f) (.f64 1/4 (PI.f64))) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))))

Outputs
(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))))

Calls

6 calls:

16.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
16.0ms	f
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
6.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
5.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

Results

Accuracy	Segments	Branch
96.7%	1	`f`
96.7%	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
96.7%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`
96.7%	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
96.7%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
96.7%	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)))))`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes10.0ms (0%)

Counts

14 → 1

Calls

Call 1

Inputs
(neg.f64 (log1p.f64 -1/48))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) -4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (fabs.f64 (log.f64 47/48)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/12))) (PI.f64))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)) -4)
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (+.f64 1 (.f64 (.f64 (PI.f64) f) 1/4)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 16))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (cbrt.f64 (pow.f64 (PI.f64) 3)) -4))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (pow.f64 (sqrt.f64 (PI.f64)) 2) -4))

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
95.7%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts

8 → 1

Calls

Call 1

Inputs
(neg.f64 (log1p.f64 -1/48))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) -4))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))))
(neg.f64 (fabs.f64 (log.f64 47/48)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))

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

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
95.7%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 (log1p.f64 -1/48))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) 1/12)) (PI.f64))))

Outputs
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 (log1p.f64 -1/48))

Outputs
(neg.f64 (log1p.f64 -1/48))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative`
36×	`neg-sub0`
34×	`sub-neg`
34×	`neg-mul-1`
34×	`+-commutative`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	518
1	106	518
2	129	518
3	154	518
4	175	514
5	201	514
6	227	514
7	242	514
8	243	514

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 (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))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 (PI.f64) -4))
(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))))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) -4))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(neg.f64 (log1p.f64 -1/48))

Outputs
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 (PI.f64) -4))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 (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))))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 (PI.f64) -4))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 (.f64 f (PI.f64)) 1/4))) (fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 (PI.f64) -4))
(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))) (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 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/12)))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4)
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 2 f) (*.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) -4))
(/.f64 (/.f64 (log.f64 0) 1/4) (PI.f64))
(neg.f64 (log1p.f64 -1/48))

Compiler

Compiled 151 to 119 computations (21.2% saved)

soundness2.5s (7.8%)

Rules

1868×	`fma-define`
1254×	`fma-define`
1226×	`times-frac`
1100×	`times-frac`
1100×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	484
2	269	484
3	800	484
4	2639	484
5	7787	484
0	1021	16975
1	2766	12235
0	173	9998
1	533	9226
2	2014	8316
0	49	254
1	723	254
0	44	532
1	663	532
0	1021	16975
1	2766	12235
0	1021	16975
1	2766	12235
0	173	9998
1	533	9226
2	2014	8316
0	221	5744
1	609	5484
2	2198	5435
3	7407	5397
0	44	532
1	663	532
0	1021	16975
1	2766	12235

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
1×	node limit
1×	node limit

Compiler

Compiled 1656 to 1212 computations (26.8% saved)

end0.0ms (0%)

preprocess114.0ms (0.4%)

Compiler: Compiled 366 to 272 computations (25.7% saved)

Iter	Nodes	Cost
0	78	518
1	106	518
2	129	518
3	154	518
4	175	514
5	201	514
6	227	514
7	242	514
8	243	514

Iter	Nodes	Cost
0	78	518
1	106	518
2	129	518
3	154	518
4	175	514
5	201	514
6	227	514
7	242	514
8	243	514

analyze397.0ms (1.2%)

sample12.7s (39.2%)

preprocess2.2s (6.8%)

eval3.0ms (0%)

prune2.0ms (0%)

localize2.7s (8.4%)

series303.0ms (0.9%)

rewrite261.0ms (0.8%)

simplify135.0ms (0.4%)

eval79.0ms (0.2%)

prune44.0ms (0.1%)

localize1.7s (5.3%)

series224.0ms (0.7%)

rewrite66.0ms (0.2%)

simplify157.0ms (0.5%)

eval197.0ms (0.6%)

prune67.0ms (0.2%)

localize3.3s (10.2%)

series63.0ms (0.2%)

rewrite172.0ms (0.5%)

simplify328.0ms (1%)

eval486.0ms (1.5%)

prune109.0ms (0.3%)

localize1.5s (4.6%)

series0.0ms (0%)

rewrite130.0ms (0.4%)

simplify132.0ms (0.4%)

eval1.6s (4.8%)

prune478.0ms (1.5%)

regimes64.0ms (0.2%)

regimes61.0ms (0.2%)

regimes55.0ms (0.2%)

regimes10.0ms (0%)

regimes7.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify19.0ms (0.1%)

soundness2.5s (7.8%)

end0.0ms (0%)

preprocess114.0ms (0.4%)

Profiling

Iter	Nodes	Cost
0	78	518
1	106	518
2	129	518
3	154	518
4	175	514
5	201	514
6	227	514
7	242	514
8	243	514