Metrics for VandenBroeck and Keller, Equation (20)

analyze455.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 290.0ms

Operation ival-div, time spent: 101.0ms, 35.0% of total-time

Operation ival-mult, time spent: 59.0ms, 20.0% of total-time

Operation ival-exp, time spent: 43.0ms, 15.0% of total-time

Operation ival-neg, time spent: 27.0ms, 9.0% of total-time

Operation ival-log, time spent: 23.0ms, 8.0% of total-time

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

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

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

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

sample29.5s (43.1%)

Results

14.2s	7044×	1	valid
13.7s	6709×	1	invalid
454.0ms	1211×	0	valid
118.0ms	373×	0	invalid
1.0ms	4×	0	unsamplable
2.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 26.3s

Operation ival-exp, time spent: 20.3s, 77.0% of total-time

Operation ival-div, time spent: 2.2s, 9.0% of total-time

Operation ival-mult, time spent: 1.4s, 5.0% of total-time

Operation ival-log, time spent: 577.0ms, 2.0% of total-time

Operation ival-neg, time spent: 493.0ms, 2.0% of total-time

Operation ival-sub, time spent: 449.0ms, 2.0% of total-time

Operation ival-add, time spent: 434.0ms, 2.0% of total-time

Operation const, time spent: 209.0ms, 1.0% of total-time

Operation ival-pi, time spent: 174.0ms, 1.0% of total-time

Bogosity

preprocess4.1s (5.9%)

Algorithm

1×	egg-herbie

Rules

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

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	584
1	98	484
2	269	484
3	800	484
4	2639	484
5	7787	484

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 434 to 320 computations (26.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.4s

Operation ival-exp, time spent: 2.6s, 76.0% of total-time

Operation ival-div, time spent: 333.0ms, 10.0% of total-time

Operation ival-mult, time spent: 194.0ms, 6.0% of total-time

Operation ival-add, time spent: 71.0ms, 2.0% of total-time

Operation ival-neg, time spent: 69.0ms, 2.0% of total-time

Operation ival-sub, time spent: 66.0ms, 2.0% of total-time

Operation ival-log, time spent: 61.0ms, 2.0% of total-time

Operation const, time spent: 30.0ms, 1.0% 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)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.1%	(/.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))
▶	7.1%	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
▶	7.1%	(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))))))))

Status

Accuracy

Program

▶

7.1%

(/.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))

▶

7.1%

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

▶

7.1%

(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))))))))

Compiler

Compiled 104 to 79 computations (24% saved)

localize19.3s (28.2%)

Localize:

Found 12 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))
✓	97.7%	(PI.f64)
✓	97.3%	(/.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)))
✓	13.4%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))
✓	99.3%	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
✓	97.7%	(PI.f64)
✓	97.3%	(/.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)))
✓	13.4%	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (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)))))))
✓	97.7%	(PI.f64)
✓	97.3%	(/.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)))))
✓	13.4%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 485 to 336 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.5s

Operation ival-pow, time spent: 13.5s, 73.0% of total-time

Operation ival-exp, time spent: 3.8s, 21.0% of total-time

Operation ival-div, time spent: 628.0ms, 3.0% of total-time

Operation ival-sub, time spent: 174.0ms, 1.0% of total-time

Operation ival-mult, time spent: 104.0ms, 1.0% of total-time

Operation ival-add, time spent: 97.0ms, 1.0% of total-time

Operation ival-log, time spent: 78.0ms, 0.0% of total-time

Operation const, time spent: 46.0ms, 0.0% of total-time

Operation ival-neg, time spent: 34.0ms, 0.0% of total-time

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

series338.0ms (0.5%)

Counts

12 → 108

Calls

27 calls:

Time	Variable		Point	Expression
104.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
47.0ms	f	@	inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
40.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))
29.0ms	f	@	-inf	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
29.0ms	f	@	inf	(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))

rewrite168.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

430×	`associate-r`
304×	`associate-l`
266×	`add-exp-log`
263×	`add-log-exp`
262×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	336
1	762	336

Stop Event

1×	node limit

Counts

12 → 252

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)))))
(PI.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 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f))
(/.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)))
(PI.f64)
(*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))) (-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (/.f64 (PI.f64) -4)) f)))) (/.f64 -4 (PI.f64)))
(-.f64 (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)))
(PI.f64)
(/.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
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27

simplify144.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1534×	`fma-define`
1100×	`times-frac`
744×	`distribute-lft-in`
740×	`distribute-rgt-in`
694×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	10735
1	494	10031
2	1788	9144

Stop Event

1×	node limit

Counts

360 → 82

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
(+.f64 (.f64 2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))))
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(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))) (.f64 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27

Outputs
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/2))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (*.f64 (PI.f64) 1/2)))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 f (.f64 (PI.f64) 1/2))))
(+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 f (.f64 (PI.f64) 1/2) (fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))))
(-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4))
(/.f64 2 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
(/.f64 (/.f64 4 (PI.f64)) f)
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))))))
(+.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (fma.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))
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(.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 1/4) (.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)) (-.f64 (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) f) -1/4)))) (/.f64 -4 (PI.f64)))
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27
-16
-4
-3
-2
-1
-1/2
-1/4
0
1/16
1/4
1/3
1/2
1
3/2
2
3
4
6
9
16
27

eval65.0ms (0.1%)

Compiler: Compiled 3718 to 2796 computations (24.8% saved)

prune26.0ms (0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	71	11	82
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	74	11	85

Accuracy

97.3%

Counts

85 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(fma.f64 (pow.f64 f 2) (.f64 -2 (/.f64 (fma.f64 (PI.f64) (.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2)) 1/2) 0) (PI.f64))) (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 0))
▶	96.1%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
	96.0%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	7.1%	(.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)))
	96.5%	(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)))))
▶	95.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	96.0%	(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 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)))) 4))))
	13.7%	(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)))) 1))))
	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
▶	95.9%	(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 568 to 460 computations (19% saved)

localize1.6s (2.3%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
✓	100.0%	(.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)))) 4)))
✓	99.6%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	97.7%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))
✓	99.6%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	99.6%	(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
✓	99.6%	(/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
✓	99.5%	(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
✓	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.5%	(/.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%	(fma.f64 (PI.f64) (.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) 1/2) 0)
✓	98.4%	(fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2))
✓	98.4%	(.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2)))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 724 to 544 computations (24.9% saved)

Precisions

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

Operation ival-mult, time spent: 388.0ms, 36.0% of total-time

Operation ival-div, time spent: 168.0ms, 16.0% of total-time

Operation ival-sub, time spent: 163.0ms, 15.0% of total-time

Operation ival-log, time spent: 107.0ms, 10.0% of total-time

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

Operation composed, time spent: 73.0ms, 7.0% of total-time

Operation const, time spent: 41.0ms, 4.0% of total-time

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

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

Operation ival-pow, time spent: 7.0ms, 1.0% of total-time

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

series304.0ms (0.4%)

Counts

18 → 123

Calls

39 calls:

Time	Variable		Point	Expression
82.0ms	f	@	0	(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
70.0ms	f	@	inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
22.0ms	f	@	0	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
22.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))
19.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))

rewrite177.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

429×	`log1p-expm1-u`
429×	`expm1-log1p-u`
426×	`add-exp-log`
424×	`cbrt-prod`
420×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	623
1	1037	623

Stop Event

1×	node limit

Counts

18 → 366

Calls

Call 1

Inputs
(log.f64 (/.f64 4 (PI.f64)))
(.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2)))
(fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (*.f64 (PI.f64) 2))) -2))
(fma.f64 (PI.f64) (.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/192 (.f64 2 (.f64 (PI.f64) 2))) -2)) 1/2) 0)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))
(/.f64 1 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64)))))
(.f64 f (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))))
(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))
(*.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)))) 4)))
(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Outputs
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 4))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/4))))
(-.f64 (log.f64 -4) (log.f64 (neg.f64 (PI.f64))))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(.f64 -1 (log.f64 (.f64 (PI.f64) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2)
(neg.f64 (log.f64 (*.f64 (PI.f64) 1/4)))
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 1/96 (.f64 (PI.f64) 2)))) 1)
(pow.f64 (.f64 1/96 (.f64 (PI.f64) 2)) 1)
(pow.f64 (cbrt.f64 (.f64 1/96 (.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (.f64 1/96 (.f64 (PI.f64) 2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 1/96 (.f64 (PI.f64) 2))) 2)
(log.f64 (pow.f64 (exp.f64 1/96) (*.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/96 (.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (.f64 1/96 (.f64 (PI.f64) 2)) 3))
(expm1.f64 (log1p.f64 (.f64 1/96 (.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (.f64 1/96 (.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (.f64 1/96 (.f64 (PI.f64) 2))))
(exp.f64 (.f64 (log.f64 (.f64 1/96 (*.f64 (PI.f64) 2))) 1))
(+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (.f64 (.f64 1/96 (*.f64 (PI.f64) 2)) -2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2)))) 1)
(.f64 1 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (*.f64 (PI.f64) 2)) -2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2))) 2) (cbrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (*.f64 (PI.f64) 2)) -2))))
(.f64 (sqrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2))) (sqrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (*.f64 (PI.f64) 2)) -2))))
(pow.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2))) 3)
(pow.f64 (pow.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2))) 2)
(log.f64 (exp.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2))))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2))))
(exp.f64 (log.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (*.f64 (PI.f64) 2)) -2))) 1))
(+.f64 (.f64 (PI.f64) (.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (.f64 (PI.f64) 2)) -2)) 1/2)) 0)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (PI.f64) (.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (.f64 1/96 (*.f64 (PI.f64) 2)) -2)) 1/2) 0))) 1)
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))) 1)
(.f64 1 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 2) (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (*.f64 (PI.f64) 1/2)))))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))) 3) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 3)) (+.f64 (pow.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))) 2) (-.f64 (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 2) (.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))) 2) (pow.f64 (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))) 2)) (-.f64 (.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2))) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))))
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(pow.f64 (cbrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2))))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))))))
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(.f64 1 (/.f64 1 (.f64 f (*.f64 (PI.f64) 1/2))))
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(.f64 (/.f64 1 f) (/.f64 1 (.f64 (PI.f64) 1/2)))
(.f64 (/.f64 1 (.f64 (PI.f64) 1/2)) (/.f64 1 f))
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(pow.f64 (sqrt.f64 (/.f64 1 (.f64 f (.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) 1) -1)
(log.f64 (exp.f64 (/.f64 1 (.f64 f (.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (.f64 f (.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 1 (.f64 f (.f64 (PI.f64) 1/2))) 3))
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(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))) -1))
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(pow.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 f (.f64 (PI.f64) 1/2))) 2)
(log.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) f))
(log.f64 (+.f64 1 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2)))))
(cbrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 3))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
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(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))) 1)
(-.f64 (log.f64 -2) (log.f64 (neg.f64 (*.f64 (PI.f64) 1/2))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(.f64 1 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))))
(pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) 2)
(neg.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 1/2) 2)))
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(log1p.f64 (-.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) 1))
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(.f64 1 (.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (/.f64 -4 (PI.f64))))
(.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (/.f64 -4 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) -4) (/.f64 1 (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (/.f64 -4 (PI.f64))) 2)) (cbrt.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (/.f64 -4 (PI.f64)))))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (/.f64 -4 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)) (/.f64 -4 (PI.f64)))))
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(pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (/.f64 -4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (/.f64 -4 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) (/.f64 -4 (PI.f64)))) 2)
(pow.f64 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) -4)) -1)
(log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 -4 (PI.f64))) 1)))
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(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 -4 (PI.f64))) 1))
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(.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
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(log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))
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(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) 1))
(fma.f64 1 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (log.f64 f)))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (sqrt.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (neg.f64 (log.f64 f)))
(+.f64 0 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4)))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 1/4))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) 2))) (log.f64 (cbrt.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4))) (log.f64 (sqrt.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4))))
(-.f64 0 (log.f64 (/.f64 4 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) (log.f64 4))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4)))) 1)
(-.f64 (log.f64 (neg.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))) (log.f64 -4))
(.f64 1 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/4)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4))) 2) (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/4))))
(.f64 (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4))) (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/4))))
(pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4)) 1)
(pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4))) 2)
(neg.f64 (log.f64 (/.f64 4 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
(cbrt.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4)) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4))))
(log1p.f64 (-.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) 1))
(exp.f64 (log.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/4))) 1))
(+.f64 0 (.f64 (.f64 (PI.f64) 1/4) f))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) f))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1)
(/.f64 (*.f64 (PI.f64) f) 4)
(pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) 1/4) f)) 2)
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(cbrt.f64 (pow.f64 (.f64 (.f64 (PI.f64) 1/4) f) 3))
(cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/64) (pow.f64 f 3)))
(cbrt.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(exp.f64 (log.f64 (.f64 (.f64 (PI.f64) 1/4) f)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 (PI.f64) 1/4) f)) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64)))))) 1)
(/.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4)) (*.f64 (PI.f64) 1/4))
(pow.f64 (log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64))))) 2)
(log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/4)) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/4)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64))))))
(log1p.f64 (-.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64))) 1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1/4) (/.f64 4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))) 1)
(.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))
(.f64 1 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 2) (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))
(.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) 3) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f)) 3)) (+.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/2)) f) (-.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f)) 2) (exp.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/4) f) (.f64 (*.f64 (PI.f64) 1/4) (neg.f64 f)))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (.f64 (PI.f64) 1/2)) f) (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f)) 2)) (.f64 2 (sinh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(pow.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 1)
(pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) 3)
(pow.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))) 2)
(log.f64 (pow.f64 (exp.f64 2) (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))))))
(cbrt.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f))) 3))
(expm1.f64 (log1p.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))
(log1p.f64 (expm1.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) 1/4) f)))))
(exp.f64 (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (.f64 (PI.f64) 1/4) f)))) 1))
(fma.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f)))
(fma.f64 1 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f)) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f))
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f))) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f))) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f))
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 (PI.f64) 1/2)) f)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f)))
(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f))) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f))
(fma.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) (neg.f64 f)))

simplify210.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1272×	`associate-r`
1144×	`associate-l`
648×	`fma-define`
604×	`sqr-pow`
496×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	931	22147
1	2328	17262

Stop Event

1×	node limit

Counts

489 → 601

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

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

eval566.0ms (0.8%)

Compiler: Compiled 18171 to 14038 computations (22.7% saved)

prune148.0ms (0.2%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	606	22	628
Fresh	1	5	6
Picked	5	0	5
Done	0	0	0
Total	612	27	639

Accuracy

97.7%

Counts

639 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.6%	(fma.f64 (pow.f64 f 2) (.f64 -2 (/.f64 (.f64 (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) 1/2)) (PI.f64))) (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 0))
	94.6%	(/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))) 3) -4) (PI.f64))
	94.8%	(/.f64 (.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))) -4) (PI.f64))
	96.0%	(/.f64 1 (/.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))) -4))
	95.9%	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
▶	96.0%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	7.1%	(.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)))
	96.1%	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
	95.5%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
	94.7%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
▶	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
	1.6%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 1/2 (cosh.f64 (.f64 (.f64 (PI.f64) f) 1/4))))))
	94.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) f) 1/4)))))))
	96.5%	(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)))))
	96.0%	(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 f (*.f64 (PI.f64) 1/2))))))
	13.7%	(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)))) 1))))
	95.9%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (+.f64 1/2 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)) -1/2))))
	95.9%	(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 (exp.f64 (neg.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2)))))))))))
▶	94.8%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	96.1%	(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
	78.7%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	94.8%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
▶	94.8%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.5%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
	5.6%	(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 -4 (PI.f64))) 1))
	81.8%	(log.f64 (pow.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f) (/.f64 -4 (PI.f64))))

Compiler

Compiled 994 to 832 computations (16.3% saved)

localize951.0ms (1.4%)

Localize:

Found 17 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.3%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
✓	98.3%	(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
✓	97.4%	(PI.f64)
✓	99.6%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.3%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
✓	98.3%	(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
✓	97.4%	(PI.f64)
✓	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)))
✓	97.4%	(PI.f64)
	97.0%	(log.f64 (/.f64 4 (PI.f64)))
✓	97.4%	(PI.f64)
✓	98.5%	(fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8))
✓	98.5%	(.f64 (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (.f64 (PI.f64) 1/2))
✓	97.4%	(PI.f64)
	97.0%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 335 to 224 computations (33.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 731.0ms

Operation ival-div, time spent: 263.0ms, 36.0% of total-time

Operation ival-log, time spent: 166.0ms, 23.0% of total-time

Operation composed, time spent: 109.0ms, 15.0% of total-time

Operation ival-mult, time spent: 79.0ms, 11.0% of total-time

Operation ival-add, time spent: 41.0ms, 6.0% of total-time

Operation ival-sub, time spent: 29.0ms, 4.0% of total-time

Operation const, time spent: 20.0ms, 3.0% of total-time

Operation ival-exp, time spent: 13.0ms, 2.0% of total-time

Operation ival-pow, time spent: 7.0ms, 1.0% of total-time

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

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

series17.0ms (0%)

Counts

15 → 80

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	f	@	inf	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
1.0ms	f	@	0	(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
1.0ms	f	@	0	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
1.0ms	f	@	inf	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
1.0ms	f	@	inf	(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))

rewrite276.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1330×	`prod-diff`
545×	`log1p-expm1-u`
398×	`associate-r`
258×	`associate-l`
212×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	303
1	575	299
2	6102	299

Stop Event

1×	node limit

Counts

15 → 710

Calls

Call 1

Inputs
(PI.f64)
(.f64 (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (.f64 (PI.f64) 1/2))
(fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8))
(PI.f64)
(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))
(PI.f64)
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(PI.f64)
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(/.f64 4 (*.f64 (PI.f64) f))

Outputs
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 -1/24 (PI.f64))) (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/8)))
(+.f64 (.f64 (.f64 -1/24 (PI.f64)) (.f64 (PI.f64) 1/2)) (.f64 (.f64 (PI.f64) 1/8) (.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))))) 1)
(pow.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))) 2)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/2) (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))) 3) (pow.f64 (.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))))) 1))
(+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))
(+.f64 (.f64 -1/24 (PI.f64)) (.f64 (PI.f64) 1/8))
(+.f64 (.f64 (.f64 -1/24 (PI.f64)) 1) (*.f64 (PI.f64) 1/8))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))) 1)
(.f64 (+.f64 (.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64))) 1)
(.f64 1 (+.f64 (.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64))))
(.f64 (cbrt.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))) (cbrt.f64 (pow.f64 (+.f64 (.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64))) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))) 2)) (cbrt.f64 (+.f64 (.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))))
(.f64 (sqrt.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))) (sqrt.f64 (+.f64 (.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/24 (PI.f64)) 3) (pow.f64 (.f64 (PI.f64) 1/8) 3)) (+.f64 (.f64 (.f64 -1/24 (PI.f64)) (.f64 -1/24 (PI.f64))) (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/64) (.f64 (.f64 -1/24 (PI.f64)) (*.f64 (PI.f64) 1/8)))))
(/.f64 (-.f64 (.f64 (.f64 -1/24 (PI.f64)) (.f64 -1/24 (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) 1/64)) (-.f64 (.f64 -1/24 (PI.f64)) (.f64 (PI.f64) 1/8)))
(pow.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))) 2))
(log.f64 (exp.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))
(exp.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/8) (.f64 -1/24 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 (PI.f64) 1/8) (*.f64 -1/24 (PI.f64)))) 1))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) 1)
(*.f64 (PI.f64) 1)
(*.f64 1 (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3)
(pow.f64 (pow.f64 (PI.f64) 3) 1/3)
(pow.f64 (sqrt.f64 (PI.f64)) 2)
(sqrt.f64 (pow.f64 (PI.f64) 2))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) 3))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1))
(+.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 -4 (PI.f64)))) (.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 f))))
(+.f64 (.f64 (log.f64 (/.f64 -4 (PI.f64))) (/.f64 -4 (PI.f64))) (.f64 (neg.f64 (log.f64 f)) (/.f64 -4 (PI.f64))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) 1)
(-.f64 (/.f64 (log.f64 (/.f64 -4 (PI.f64))) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 f) (.f64 (PI.f64) 1/4)))
(-.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1) (.f64 (PI.f64) 1/4)) (/.f64 -4 (PI.f64)))
(-.f64 (/.f64 (log.f64 4) (.f64 (PI.f64) 1/4)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (*.f64 (PI.f64) 1/4)))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
(/.f64 1 (/.f64 (PI.f64) (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3)) (.f64 (.f64 (PI.f64) 1/4) (+.f64 (pow.f64 (log.f64 (/.f64 -4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 (/.f64 -4 (PI.f64)) f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 -4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2)) (.f64 (.f64 (PI.f64) 1/4) (log.f64 (*.f64 (/.f64 -4 (PI.f64)) f))))
(/.f64 (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (neg.f64 (PI.f64)))
(/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))
(/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (neg.f64 (PI.f64)))
(/.f64 (.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 -4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (neg.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (/.f64 -4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 (/.f64 -4 (PI.f64)) f))))))
(/.f64 (.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 -4 (PI.f64))) 3) (pow.f64 (log.f64 f) 3))) (.f64 (PI.f64) (+.f64 (pow.f64 (log.f64 (/.f64 -4 (PI.f64))) 2) (.f64 (log.f64 f) (log.f64 (.f64 (/.f64 -4 (PI.f64)) f))))))
(/.f64 (.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 -4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (.f64 (neg.f64 (PI.f64)) (log.f64 (*.f64 (/.f64 -4 (PI.f64)) f))))
(/.f64 (.f64 -4 (-.f64 (pow.f64 (log.f64 (/.f64 -4 (PI.f64))) 2) (pow.f64 (log.f64 f) 2))) (.f64 (PI.f64) (log.f64 (*.f64 (/.f64 -4 (PI.f64)) f))))
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(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 (PI.f64) (/.f64 f 4)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))

simplify304.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1406×	`times-frac`
1154×	`associate-r`
1148×	`associate-l`
416×	`distribute-rgt-in`
414×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	706	38134
1	1876	35550

Stop Event

1×	node limit

Counts

790 → 456

Calls

Call 1

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

Outputs
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
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(pow.f64 (exp.f64 1) (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(pow.f64 (E.f64) (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(pow.f64 (E.f64) (log.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 2))) (cbrt.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))) 2))) (cbrt.f64 (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))) 2))) (cbrt.f64 (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (sqrt.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))) (sqrt.f64 (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))) (sqrt.f64 (log.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2))
(sqrt.f64 (pow.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2))
(fabs.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))) -1))
(cbrt.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) (.f64 (pow.f64 (PI.f64) 3) 1/64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(expm1.f64 (log1p.f64 (.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
(expm1.f64 (log1p.f64 (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))) -1))
(exp.f64 (log.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)
(.f64 -4 (/.f64 1 (.f64 f (neg.f64 (PI.f64)))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(*.f64 (/.f64 -4 (PI.f64)) (exp.f64 (neg.f64 (log.f64 f))))
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (/.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) f))
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (.f64 (PI.f64) f) 2))) (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(*.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (.f64 f (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 4 (*.f64 f (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 2 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 4)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 1 (.f64 (cbrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)))
(.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 1 (.f64 (sqrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 1 (.f64 (sqrt.f64 f) (PI.f64))))
(/.f64 (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 -4 (PI.f64)) (cbrt.f64 f)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 -4 (.f64 (cbrt.f64 f) (PI.f64))))
(/.f64 (/.f64 -4 (*.f64 (cbrt.f64 f) (PI.f64))) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 (/.f64 -4 (PI.f64)) (sqrt.f64 f)))
(.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 -4 (.f64 (sqrt.f64 f) (PI.f64))))
(/.f64 (/.f64 -4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) 1) (/.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) f))
(*.f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2)) (pow.f64 (cbrt.f64 f) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (sqrt.f64 f)))
(.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 -4 (.f64 (sqrt.f64 f) (PI.f64))))
(/.f64 (/.f64 -4 (*.f64 (sqrt.f64 f) (PI.f64))) (sqrt.f64 f))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) 1) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) f))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (.f64 f (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 4 (*.f64 f (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (cbrt.f64 f)))
(.f64 (/.f64 2 (.f64 (pow.f64 (cbrt.f64 f) 2) (sqrt.f64 (PI.f64)))) (/.f64 2 (*.f64 (cbrt.f64 f) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(/.f64 (*.f64 (/.f64 1 (PI.f64)) (/.f64 4 (cbrt.f64 f))) (pow.f64 (cbrt.f64 f) 2))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3) 1/3)
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f))) 2)
(pow.f64 (*.f64 (PI.f64) (/.f64 f 4)) -1)
(/.f64 1 (*.f64 (PI.f64) (/.f64 f 4)))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2))) (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 2))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(sqrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))
(log.f64 (exp.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(cbrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 3))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 f 3)))
(cbrt.f64 (/.f64 (/.f64 -64 (pow.f64 (PI.f64) 3)) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(+.f64 (/.f64 (/.f64 4 (PI.f64)) f) 0)
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 (/.f64 4 (PI.f64)) f)

eval477.0ms (0.7%)

Compiler: Compiled 24976 to 17106 computations (31.5% saved)

prune286.0ms (0.4%)

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	931	20	951
Fresh	15	7	22
Picked	2	3	5
Done	0	0	0
Total	948	30	978

Accuracy

97.7%

Counts

978 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(fma.f64 (pow.f64 f 2) (.f64 -2 (/.f64 (.f64 (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) 1/2)) (PI.f64))) (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4 0))
▶	96.6%	(fma.f64 (pow.f64 f 2) (.f64 -2 (/.f64 (.f64 (.f64 (PI.f64) 1/2) (.f64 (PI.f64) 1/12)) (PI.f64))) (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 0))
	94.7%	(pow.f64 (cbrt.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3)
	1.6%	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4)
	96.1%	(/.f64 (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))
	96.0%	(/.f64 1 (/.f64 (PI.f64) (.f64 -4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
▶	94.5%	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3) (/.f64 -4 (PI.f64)))
	94.6%	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (/.f64 -4 (PI.f64)))
✓	96.0%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	95.9%	(.f64 (+.f64 (+.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1) -1) (/.f64 -4 (PI.f64)))
▶	95.9%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	94.8%	(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
▶	94.9%	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	7.1%	(.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)))
	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
	95.8%	(neg.f64 (.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64)))))
	1.6%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 1/2 (cosh.f64 (.f64 (.f64 (PI.f64) f) 1/4))))))
	96.0%	(neg.f64 (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
	95.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) f) 1/4)))))))
	96.5%	(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)))))
	96.0%	(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 f (*.f64 (PI.f64) 1/2))))))
	13.7%	(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)))) 1))))
	94.8%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
✓	94.8%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
▶	5.6%	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1))
	81.8%	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
	5.6%	(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1)))
	95.5%	(cbrt.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3))

Compiler

Compiled 968 to 798 computations (17.6% saved)

localize3.0s (4.3%)

Localize:

Found 20 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3) (/.f64 -4 (PI.f64)))
✓	100.0%	(pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
✓	100.0%	(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) 1/3)
	6.5%	(PI.f64)
	100.0%	(/.f64 4 (*.f64 (PI.f64) f))
✓	100.0%	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
✓	100.0%	(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	6.5%	(PI.f64)
	100.0%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.8%	(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
✓	99.1%	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1))
	6.5%	(PI.f64)
✓	100.0%	(*.f64 (PI.f64) f)
	100.0%	(/.f64 4 (*.f64 (PI.f64) f))
✓	100.0%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	6.5%	(PI.f64)
✓	99.9%	(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
✓	99.9%	(*.f64 (PI.f64) 1/12)
	99.9%	(log.f64 (/.f64 4 (PI.f64)))
	6.5%	(PI.f64)

Compiler

Compiled 293 to 179 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.3s

Operation ival-log, time spent: 609.0ms, 27.0% of total-time

Operation ival-div, time spent: 605.0ms, 26.0% of total-time

Operation ival-pow, time spent: 291.0ms, 13.0% of total-time

Operation ival-mult, time spent: 271.0ms, 12.0% of total-time

Operation composed, time spent: 182.0ms, 8.0% of total-time

Operation ival-sub, time spent: 116.0ms, 5.0% of total-time

Operation const, time spent: 97.0ms, 4.0% of total-time

Operation ival-add, time spent: 85.0ms, 4.0% of total-time

Operation ival-exp, time spent: 32.0ms, 1.0% of total-time

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

series95.0ms (0.1%)

Counts

11 → 108

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	f	@	-inf	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1))
21.0ms	f	@	0	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1))
20.0ms	f	@	inf	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1))
4.0ms	f	@	-inf	(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) 1/3)
3.0ms	f	@	0	(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) 1/3)

rewrite187.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`log1p-expm1-u`
932×	`expm1-log1p-u`
346×	`prod-diff`
304×	`associate-r`
272×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	292
1	375	286
2	4456	286

Stop Event

1×	node limit

Counts

11 → 300

Calls

Call 1

Inputs
(*.f64 (PI.f64) 1/12)
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (PI.f64) 1/12))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 (PI.f64) f)
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(pow.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) 1/3)
(pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3) (/.f64 -4 (PI.f64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/12))) 1)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/12)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/12)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/12) 2))
(log.f64 (pow.f64 (exp.f64 1/12) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/12))))
(cbrt.f64 (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))
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64))))) 1)
(pow.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64)))) 2)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64))) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 1/24 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/12) 3) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (*.f64 (PI.f64) 1/12) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64)))))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/24 (PI.f64)))) 1))
(+.f64 0 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))))) 1)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) -1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) -1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) f))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(+.f64 0 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))))) 1)
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))
(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 1)
(*.f64 1 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 -4 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2) (.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 2) (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(.f64 (sqrt.f64 (/.f64 -4 (PI.f64))) (.f64 (sqrt.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 -4 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 -4 (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 -4 (PI.f64))) 2)) (cbrt.f64 (/.f64 -4 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (/.f64 -4 (PI.f64)))) (sqrt.f64 (/.f64 -4 (PI.f64))))
(.f64 (.f64 (/.f64 -4 (PI.f64)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(.f64 (.f64 (/.f64 -4 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) -1/4))
(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (PI.f64))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4)) (neg.f64 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
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(-.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f)))
(-.f64 0 (log.f64 (*.f64 (PI.f64) (/.f64 f 4))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 1)
(-.f64 (log.f64 -4) (log.f64 (*.f64 (PI.f64) (neg.f64 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 1)
(*.f64 1 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) 1/3) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3/2) 1/3) (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3/2) 1/3))
(/.f64 (-.f64 (pow.f64 (log.f64 4) 3) (pow.f64 (log.f64 (.f64 (PI.f64) f)) 3)) (+.f64 (.f64 (log.f64 4) (log.f64 4)) (+.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 (.f64 (PI.f64) f))) (.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))))
(/.f64 (-.f64 (.f64 (log.f64 4) (log.f64 4)) (.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 (.f64 (PI.f64) f)))) (+.f64 (log.f64 4) (log.f64 (*.f64 (PI.f64) f))))
(neg.f64 (log.f64 (*.f64 (PI.f64) (/.f64 f 4))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(log1p.f64 (-.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1))
(exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(fma.f64 1 (log.f64 4) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(fma.f64 (.f64 (cbrt.f64 (log.f64 4)) (cbrt.f64 (log.f64 4))) (cbrt.f64 (log.f64 4)) (neg.f64 (log.f64 (.f64 (PI.f64) f))))
(fma.f64 (sqrt.f64 (log.f64 4)) (sqrt.f64 (log.f64 4)) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3))) 1)
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))
(*.f64 1 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3))
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) 1)
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)) (.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)))
(*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3/2) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3/2))
(.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2)) 3) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3) (pow.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))
(.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) 1) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2))) (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(.f64 (.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 2) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3) 1))
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(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4)))
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(/.f64 (*.f64 4 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) 1) (PI.f64))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 1)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 2)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 2))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) -1))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 1))

simplify197.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

954×	`log-prod`
708×	`exp-prod`
606×	`cube-prod`
590×	`associate-l`
562×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	444	14825
1	1024	13308
2	3755	13308

Stop Event

1×	node limit

Counts

408 → 258

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

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

eval1.5s (2.2%)

Compiler: Compiled 34193 to 23698 computations (30.7% saved)

prune296.0ms (0.4%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1665	11	1676
Fresh	9	13	22
Picked	2	3	5
Done	0	3	3
Total	1676	30	1706

Accuracy

97.7%

Counts

1706 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.6%	(fma.f64 (pow.f64 f 2) (.f64 -2 (/.f64 (.f64 (fma.f64 1/96 (.f64 (PI.f64) -4) (.f64 (PI.f64) 1/8)) (*.f64 (PI.f64) 1/2)) (PI.f64))) (fma.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) -4 0))
	96.6%	(fma.f64 (pow.f64 f 2) (.f64 -2 (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (PI.f64))) (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 0))
	94.7%	(pow.f64 (cbrt.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 3)
	1.6%	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1/4)
	96.1%	(/.f64 (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4) (PI.f64))
	96.0%	(/.f64 1 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) -4)))
	94.6%	(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3) (/.f64 -4 (PI.f64)))
	95.8%	(*.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (sqrt.f64 (PI.f64))) (/.f64 -4 (sqrt.f64 (PI.f64))))
✓	96.0%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	95.9%	(.f64 (+.f64 (+.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1) -1) (/.f64 -4 (PI.f64)))
	96.0%	(*.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
	95.9%	(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	95.5%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓	95.9%	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	6.5%	(.f64 (log.f64 (/.f64 4 (log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	94.8%	(*.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
✓	94.9%	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	7.1%	(.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)))
	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (cbrt.f64 (pow.f64 (PI.f64) 3))))
✓	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
	1.6%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 1/2 (cosh.f64 (.f64 (.f64 (PI.f64) f) 1/4))))))
	95.9%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (/.f64 2 (cosh.f64 (.f64 (*.f64 (PI.f64) f) 1/4)))))))
	96.5%	(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)))))
	96.0%	(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 f (*.f64 (PI.f64) 1/2))))))
	13.7%	(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)))) 1))))
✓	94.8%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
✓	5.6%	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1))
	81.8%	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
	5.6%	(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 1)))

Compiler

Compiled 1647 to 1250 computations (24.1% saved)

regimes273.0ms (0.4%)

Counts

67 → 1

Calls

Call 1

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

Calls

6 calls:

203.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
30.0ms	f
11.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
8.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
8.0ms	(/.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
96.6%	1	`f`
96.6%	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))))))))`
96.6%	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)))))))`
96.6%	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))))))`
96.6%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
96.6%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 144 to 112 computations (22.2% saved)

regimes69.0ms (0.1%)

Counts

58 → 1

Calls

Call 1

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

Outputs
(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)))))

Calls

2 calls:

39.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
25.0ms	f

Results

Accuracy	Segments	Branch
96.5%	1	`f`
96.5%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes103.0ms (0.1%)

Counts

56 → 1

Calls

Call 1

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

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

Calls

2 calls:

73.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
26.0ms	f

Results

Accuracy	Segments	Branch
96.1%	1	`f`
96.1%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
96.1%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes12.0ms (0%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
96.1%	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 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
1.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify16.0ms (0%)

Algorithm

1×	egg-herbie

Rules

90×	`neg-mul-1`
74×	`unsub-neg`
64×	`*-commutative`
42×	`distribute-lft-neg-in`
42×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	343
1	104	343
2	144	343
3	175	339
4	198	339
5	264	339
6	362	339
7	368	339

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 (pow.f64 f 2) (.f64 -2 (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (PI.f64))) (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 0))
(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 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))

Outputs
(fma.f64 (pow.f64 f 2) (.f64 -2 (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) 1/24)) (PI.f64))) (fma.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -4 0))
(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)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (neg.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 -2 (.f64 1/192 (.f64 2 (.f64 2 (PI.f64)))))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 -2 (.f64 1/192 (.f64 2 (.f64 2 (PI.f64)))))) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(*.f64 (neg.f64 4) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)) (neg.f64 4))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (neg.f64 (PI.f64))))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) -4) (PI.f64))
(/.f64 (.f64 -4 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f))) (PI.f64))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
(/.f64 (neg.f64 (*.f64 4 (log.f64 1/2))) (PI.f64))
(/.f64 (*.f64 4 (neg.f64 (log.f64 1/2))) (PI.f64))
(/.f64 (*.f64 4 (log.f64 1/2)) (neg.f64 (PI.f64)))

Compiler

Compiled 103 to 86 computations (16.5% saved)

soundness3.2s (4.7%)

Rules

1534×	`fma-define`
1534×	`fma-define`
1534×	`fma-define`
1534×	`fma-define`
1406×	`times-frac`

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
0	166	10735
1	494	10031
2	1788	9144
0	61	623
1	1037	623
0	931	22147
1	2328	17262
0	39	303
1	575	299
2	6102	299
0	706	38134
1	1876	35550
0	31	292
1	375	286
2	4456	286
0	444	14825
1	1024	13308
2	3755	13308
0	39	336
1	762	336
0	931	22147
1	2328	17262
0	166	10735
1	494	10031
2	1788	9144
0	931	22147
1	2328	17262
0	166	10735
1	494	10031
2	1788	9144
0	166	10735
1	494	10031
2	1788	9144

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

Compiler

Compiled 1827 to 1361 computations (25.5% saved)

end0.0ms (0%)

preprocess100.0ms (0.1%)

Compiler: Compiled 272 to 208 computations (23.5% saved)

analyze455.0ms (0.7%)

sample29.5s (43.1%)

preprocess4.1s (5.9%)

eval3.0ms (0%)

prune3.0ms (0%)

localize19.3s (28.2%)

series338.0ms (0.5%)

rewrite168.0ms (0.2%)

simplify144.0ms (0.2%)

eval65.0ms (0.1%)

prune26.0ms (0%)

localize1.6s (2.3%)

series304.0ms (0.4%)

rewrite177.0ms (0.3%)

simplify210.0ms (0.3%)

eval566.0ms (0.8%)

prune148.0ms (0.2%)

localize951.0ms (1.4%)

series17.0ms (0%)

rewrite276.0ms (0.4%)

simplify304.0ms (0.4%)

eval477.0ms (0.7%)

prune286.0ms (0.4%)

localize3.0s (4.3%)

series95.0ms (0.1%)

rewrite187.0ms (0.3%)

simplify197.0ms (0.3%)

eval1.5s (2.2%)

prune296.0ms (0.4%)

regimes273.0ms (0.4%)

regimes69.0ms (0.1%)

regimes103.0ms (0.1%)

regimes15.0ms (0%)

regimes12.0ms (0%)

regimes3.0ms (0%)

simplify16.0ms (0%)

soundness3.2s (4.7%)

end0.0ms (0%)

preprocess100.0ms (0.1%)

Profiling