Metrics for VandenBroeck and Keller, Equation (20)

analyze291.0ms (1.3%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample8.7s (40.1%)

Results

2.8s	4079×	body	1024	valid
2.4s	3996×	body	1024	invalid
1.3s	2048×	body	512	valid
819.0ms	2050×	body	512	invalid
653.0ms	500×	body	2048	valid
492.0ms	1629×	body	256	valid
179.0ms	938×	body	256	invalid
3.0ms	4×	body	2048	invalid
0.0ms	2×	body	256	unsamplable

Bogosity

preprocess1.3s (5.9%)

Algorithm

1×	egg-herbie

Rules

1436×	`times-frac`
1336×	`fma-def`
946×	`associate-/r*`
602×	`associate-*r/`
590×	`associate-/l*`

FPErrors

Click to see full error table

truth	opred	ex	upred	ex	subexpr
246	0	-	0	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
7	0	-	0	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
3	7	(112953.89409540338)	1	(2.65160892615997)	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
0	0	-	0	-	`(*.f64 (/.f64 (PI.f64) 4) f)`
0	0	-	0	-	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
0	0	-	0	-	`(PI.f64)`
0	0	-	0	-	`(/.f64 (PI.f64) 4)`
0	0	-	0	-	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
0	0	-	0	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))`
0	0	-	0	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) 4) f))`
0	0	-	0	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))`
0	0	-	0	-	`f`
0	0	-	0	-	`(/.f64 1 (/.f64 (PI.f64) 4))`
0	0	-	0	-	`4`
0	1	(2.65160892615997)	0	-	`#f`
0	0	-	0	-	`1`
0	0	-	0	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	433
1	92	399
2	241	363
3	720	363
4	2345	363

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)))))))))

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

Compiler

Compiled 434 to 320 computations (26.3% saved)

eval3.0ms (0%)

Compiler: Compiled 169 to 122 computations (27.8% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
▶	8.3%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Status

Accuracy

Program

▶

8.3%

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

▶

8.3%

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

Compiler

Compiled 76 to 60 computations (21.1% saved)

localize700.0ms (3.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
✓	96.9%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
✓	13.2%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))

Compiler

Compiled 198 to 145 computations (26.8% saved)

series78.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	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)))))))
32.0ms	f	@	-inf	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
3.0ms	f	@	0	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
1.0ms	f	@	inf	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112
1	310	112
2	5551	112

Stop Event

1×

unsound

Counts

4 → 64

Calls

Call 1

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

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1344×	`times-frac`
1314×	`fma-def`
662×	`distribute-lft-in`
658×	`distribute-rgt-in`
618×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	3777
1	420	3549
2	1632	3244

Stop Event

1×	node limit

Counts

112 → 61

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

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

eval55.0ms (0.3%)

Compiler: Compiled 2852 to 2156 computations (24.4% saved)

prune40.0ms (0.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	56	11	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	11	68

Accuracy

96.8%

Counts

68 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.9%	(neg.f64 (fma.f64 2 (.f64 (fma.f64 (PI.f64) (.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) 1/2) 0) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
▶	95.0%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
	95.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	95.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
▶	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	1.7%	(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)))) 4))))
	95.2%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
	8.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
▶	95.9%	(neg.f64 (fma.f64 2 (.f64 (fma.f64 (PI.f64) (.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) 1/2) 0) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
▶	95.0%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
	95.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
▶	95.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
▶	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
	1.6%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 16))))
▶	1.7%	(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)))) 4))))
	95.2%	(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
	8.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))

Compiler

Compiled 1128 to 916 computations (18.8% saved)

localize712.0ms (3.3%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.7%	(.f64 f (.f64 (PI.f64) 1/2))
✓	99.5%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2)))
✓	99.4%	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
✓	97.3%	(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))))
✓	100.0%	(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))
✓	99.9%	(.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)))
	99.7%	(*.f64 (/.f64 (PI.f64) 4) f)
✓	97.3%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) 4))
✓	99.7%	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	99.5%	(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))
✓	99.5%	(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
✓	96.9%	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))
✓	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.4%	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	99.3%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	98.4%	(fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192)))
✓	98.4%	(/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192)
✓	98.4%	(/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))
✓	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 640 to 471 computations (26.4% saved)

series230.0ms (1.1%)

Counts

18 → 156

Calls

39 calls:

Time	Variable		Point	Expression
65.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (.f64 (PI.f64) 1/2))))
33.0ms	f	@	-inf	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
22.0ms	f	@	0	(/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))))
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)))) (.f64 f (.f64 (PI.f64) 1/2))))
18.0ms	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))

rewrite142.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`frac-times`
341×	`add-exp-log`
339×	`log1p-expm1-u`
339×	`expm1-log1p-u`
335×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	598
1	792	598

Stop Event

1×	node limit

Counts

18 → 381

Calls

Call 1

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

Outputs
(+.f64 (log.f64 4) (log.f64 (/.f64 1 (PI.f64))))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 4))
(+.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2)))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))) (log.f64 (/.f64 2 (sqrt.f64 (PI.f64)))))
(-.f64 (log.f64 4) (log.f64 (PI.f64)))
(-.f64 0 (log.f64 (*.f64 (PI.f64) 1/4)))
(-.f64 0 (log.f64 (/.f64 (*.f64 (PI.f64) 1/4) 1)))
(-.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 (pow.f64 (cbrt.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)))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (/.f64 4 (PI.f64)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 1)
(.f64 -2 (/.f64 1 (.f64 (/.f64 1/4 (PI.f64)) 192)))
(.f64 1 (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))
(.f64 (cbrt.f64 (/.f64 4 (/.f64 (/.f64 1/16 (pow.f64 (PI.f64) 2)) 1/36864))) (cbrt.f64 (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(.f64 (sqrt.f64 (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) (sqrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)
(pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 2)
(pow.f64 (/.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) -2) -1)
(sqrt.f64 (/.f64 4 (/.f64 (/.f64 1/16 (pow.f64 (PI.f64) 2)) 1/36864)))
(log.f64 (exp.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(exp.f64 (log.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))) 1)
(*.f64 (/.f64 1/4 (PI.f64)) 192)
(.f64 1 (.f64 (/.f64 1/4 (PI.f64)) 192))
(.f64 (cbrt.f64 (/.f64 (/.f64 1/16 (pow.f64 (PI.f64) 2)) 1/36864)) (cbrt.f64 (.f64 (/.f64 1/4 (PI.f64)) 192)))
(.f64 (sqrt.f64 (.f64 (/.f64 1/4 (PI.f64)) 192)) (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)) 2)
(pow.f64 (/.f64 1/192 (/.f64 1/4 (PI.f64))) -1)
(sqrt.f64 (/.f64 (/.f64 1/16 (pow.f64 (PI.f64) 2)) 1/36864))
(log.f64 (pow.f64 (exp.f64 (/.f64 1/4 (PI.f64))) 192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(exp.f64 (log.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 1/4 (PI.f64)) 192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 1/4 (PI.f64)) 192)))
(+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))) 1)
(.f64 1 (fma.f64 1/16 (.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 2) (cbrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(.f64 (sqrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) (sqrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(pow.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 3)
(pow.f64 (pow.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 2))
(log.f64 (exp.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)))))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(exp.f64 (log.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (.f64 (PI.f64) 2) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (/.f64 2 (sqrt.f64 (.f64 f (PI.f64)))) (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)
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(.f64 1 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (/.f64 1 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 2) (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))) 2)
(pow.f64 (/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 2 (cosh.f64 (.f64 f (*.f64 (PI.f64) 1/4))))) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 2))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) 3) (pow.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(-.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)
(sqrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/2)))
(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))))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))

simplify167.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1112×	`associate-l`
930×	`fma-def`
666×	`times-frac`
554×	`sqr-pow`
474×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	947	21610
1	2238	19360

Stop Event

1×	node limit

Counts

537 → 614

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f)))))
(log.f64 1/2)
(+.f64 (log.f64 1/2) (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)) (.f64 3 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))))))
(log.f64 (.f64 1/4 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/4 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/4 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/4 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/4 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/4 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/4 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(log.f64 (.f64 1/4 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(*.f64 4 (/.f64 (log.f64 1/2) (PI.f64)))
(+.f64 (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64)))) (PI.f64))) (*.f64 4 (/.f64 (log.f64 1/2) (PI.f64))))
(+.f64 (.f64 2 (/.f64 (.f64 f (+.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 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 4 (/.f64 (log.f64 1/2) (PI.f64)))))
(+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)) (.f64 3 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))))))) (PI.f64))) (+.f64 (.f64 2 (/.f64 (.f64 f (+.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 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64))) (*.f64 4 (/.f64 (log.f64 1/2) (PI.f64))))))
(.f64 4 (/.f64 (log.f64 (.f64 1/4 (+.f64 (exp.f64 (neg.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 1/4 (+.f64 (exp.f64 (neg.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 1/4 (+.f64 (exp.f64 (neg.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 1/4 (+.f64 (exp.f64 (neg.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 1/4 (+.f64 (exp.f64 (neg.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 1/4 (+.f64 (exp.f64 (neg.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 1/4 (+.f64 (exp.f64 (neg.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 1/4 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))))) (PI.f64)))
2
(+.f64 2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64)))))
(+.f64 2 (+.f64 (.f64 1/16 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (*.f64 1/4 (PI.f64))))))
(+.f64 2 (+.f64 (.f64 1/16 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 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)))))))
(+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.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 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))) 2)) (cbrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) (sqrt.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))
(sqrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 2))
(log.f64 (exp.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) 3) (pow.f64 (.f64 f (*.f64 (PI.f64) 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (*.f64 (PI.f64) 1/2)))))
(-.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)
(sqrt.f64 (pow.f64 (.f64 f (.f64 (PI.f64) 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) 1/2)))
(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))))
(exp.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))

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

eval484.0ms (2.2%)

Compiler: Compiled 17112 to 13253 computations (22.6% saved)

prune184.0ms (0.8%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	640	24	664
Fresh	2	4	6
Picked	4	1	5
Done	0	0	0
Total	646	29	675

Accuracy

97.0%

Counts

675 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.3%	(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8))))
▶	95.9%	(neg.f64 (fma.f64 2 (.f64 (fma.f64 (PI.f64) (.f64 (+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1/2) 0) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
	94.4%	(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
	94.6%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
	93.8%	(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)))
	95.2%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
	1.7%	(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))
	95.0%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	93.7%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	88.6%	(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 1)))
	94.9%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
▶	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
	95.4%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
	95.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	94.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) 1)))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	95.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	94.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))))
	8.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
▶	95.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 f (PI.f64))))) (PI.f64))))
	75.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
	93.8%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	93.9%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
▶	94.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
	95.3%	(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8))))
▶	95.9%	(neg.f64 (fma.f64 2 (.f64 (fma.f64 (PI.f64) (.f64 (+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1/2) 0) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
	94.4%	(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
	94.6%	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 2))
	93.8%	(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)))
	95.2%	(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
	1.7%	(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))
	95.0%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	93.7%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	88.6%	(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 1)))
	94.9%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
▶	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
	95.4%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
	95.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	94.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) 1)))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	95.0%	(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	95.2%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
	94.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))))
	8.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
▶	95.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 f (PI.f64))))) (PI.f64))))
	75.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
	93.8%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	93.9%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
▶	94.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))

Compiler

Compiled 2192 to 1820 computations (17% saved)

localize567.0ms (2.6%)

Localize:

Found 16 expressions with local error:

New	Accuracy	Program
✓	99.7%	(*.f64 f (PI.f64))
✓	99.5%	(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 f (PI.f64))))) (PI.f64))
✓	99.5%	(/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 f (PI.f64)))
✓	97.3%	(log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 f (PI.f64)))))
✓	99.5%	(/.f64 4 (*.f64 f (PI.f64)))
✓	99.4%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
✓	99.2%	(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3))
✓	99.0%	(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)
✓	100.0%	(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
✓	99.5%	(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
✓	99.5%	(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
✓	99.5%	(/.f64 (/.f64 4 f) (PI.f64))
✓	98.4%	(fma.f64 (PI.f64) (.f64 (+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1/2) 0)
✓	98.4%	(+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))
✓	98.4%	(*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)
	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 482 to 337 computations (30.1% saved)

series62.0ms (0.3%)

Counts

15 → 120

Calls

36 calls:

Time	Variable		Point	Expression
22.0ms	f	@	-inf	(log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 f (PI.f64)))))
21.0ms	f	@	inf	(log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 f (PI.f64)))))
2.0ms	f	@	0	(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3))
2.0ms	f	@	-inf	(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3))
2.0ms	f	@	-inf	(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 f (PI.f64))))) (PI.f64))

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

574×	`associate-r`
290×	`log1p-expm1-u`
290×	`expm1-log1p-u`
289×	`add-exp-log`
289×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	500
1	705	464

Stop Event

1×	node limit

Counts

15 → 459

Calls

Call 1

Inputs
(*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)
(+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192))
(fma.f64 (PI.f64) (.f64 (+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1/2) 0)
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 f (PI.f64)))))
(/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 f (PI.f64)))
(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 f (PI.f64))))) (PI.f64))
(*.f64 f (PI.f64))

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

simplify769.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

782×	`times-frac`
678×	`associate-/r*`
656×	`associate-/l*`
570×	`fma-def`
520×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	935	24379
1	2372	22209

Stop Event

1×	node limit

Counts

579 → 541

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
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(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
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(.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 3) (pow.f64 (PI.f64) 3)))
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(.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
(*.f64 64 (/.f64 (pow.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) 3) (pow.f64 (PI.f64) 3)))
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(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (*.f64 (cbrt.f64 64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64))
(.f64 4 (/.f64 (+.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 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))))
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(/.f64 1 (*.f64 f (PI.f64)))
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(.f64 1 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))
(.f64 (sqrt.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))) (sqrt.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))
(.f64 (neg.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 1 (.f64 f (neg.f64 (PI.f64)))))
(.f64 (/.f64 1 f) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (PI.f64)))
(.f64 (/.f64 1 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) f))
(.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) f) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 2) 1) (/.f64 (cbrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 (PI.f64) f)))
(.f64 (/.f64 (sqrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 1) (/.f64 (sqrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 (PI.f64) f)))
(.f64 (/.f64 (sqrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) f) (/.f64 (sqrt.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (cbrt.f64 (*.f64 (PI.f64) f))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (sqrt.f64 (*.f64 (PI.f64) f))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 2) (PI.f64)) (/.f64 (cbrt.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) f))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 2) f) (/.f64 (cbrt.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 2) (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 2) (sqrt.f64 (.f64 (PI.f64) f))) (/.f64 (cbrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (sqrt.f64 (*.f64 (PI.f64) f))))
(.f64 (/.f64 (sqrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)) (/.f64 (sqrt.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) f))
(.f64 (/.f64 (sqrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2)) (/.f64 (sqrt.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (cbrt.f64 (*.f64 (PI.f64) f))))
(pow.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)) 1)
(pow.f64 (cbrt.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))) 3)
(pow.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))) 2)
(pow.f64 (/.f64 (.f64 (PI.f64) f) (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) -1)
(neg.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 f (neg.f64 (PI.f64)))))
(sqrt.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)) 2))
(log.f64 (exp.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))
(cbrt.f64 (pow.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)) 3))
(cbrt.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 3) (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))
(exp.f64 (.f64 (log.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64)))) 1)
(.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (/.f64 1 (PI.f64)))
(.f64 1 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))))
(.f64 (neg.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))))) 1) (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))))) -1)
(neg.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64)) 2))
(log.f64 (pow.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64))))
(-.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 f) (PI.f64)))
(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)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))

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

eval1.1s (5%)

Compiler: Compiled 15814 to 11502 computations (27.3% saved)

prune296.0ms (1.4%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	576	15	591
Fresh	7	16	23
Picked	2	3	5
Done	1	0	1
Total	586	34	620

Accuracy

97.0%

Counts

620 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.9%	(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
	94.4%	(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
▶	93.8%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
	95.2%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
✓	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
	1.7%	(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))
	95.0%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	93.7%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	88.6%	(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 1)))
	94.9%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))))
	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))))
✓	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
▶	95.0%	(neg.f64 (/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
	95.4%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
	95.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	95.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	93.7%	(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))) 3)))
	94.0%	(neg.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) 1) (PI.f64))))
	95.3%	(neg.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/32 (pow.f64 (*.f64 f (PI.f64)) 2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
	8.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
	7.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)))) (PI.f64))))
	7.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))))) (PI.f64))))
	95.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
	94.0%	(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) (PI.f64))))
▶	94.2%	(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))))))
	75.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	93.8%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	93.9%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
✓	94.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))
▶	95.9%	(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
	94.4%	(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
▶	93.8%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
	95.2%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
✓	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
	1.7%	(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))
	95.0%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	93.7%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
	88.6%	(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 1)))
	94.9%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))))
	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))))
✓	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
▶	95.0%	(neg.f64 (/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
	95.4%	(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
	95.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
▶	95.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	95.1%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
	95.0%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
	93.7%	(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))) 3)))
	94.0%	(neg.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) 1) (PI.f64))))
	95.3%	(neg.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/32 (pow.f64 (*.f64 f (PI.f64)) 2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
	8.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
	7.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)))) (PI.f64))))
	7.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))))) (PI.f64))))
	95.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
	94.0%	(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) (PI.f64))))
▶	94.2%	(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))))))
	75.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	93.8%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	93.9%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
✓	94.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))

Compiler

Compiled 2456 to 2028 computations (17.4% saved)

localize558.0ms (2.6%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64))
✓	99.5%	(/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))
✓	98.3%	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64))))
✓	97.3%	(log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))))
✓	99.5%	(/.f64 4 (*.f64 f (PI.f64)))
	99.4%	(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
✓	99.3%	(cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
✓	98.9%	(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3)
✓	99.5%	(/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
✓	99.5%	(/.f64 4 (*.f64 (PI.f64) f))
✓	99.5%	(/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
✓	99.5%	(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	100.0%	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	99.4%	(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
	99.3%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
✓	98.4%	(.f64 (PI.f64) (.f64 1/2 (*.f64 (PI.f64) 1/12)))
✓	98.4%	(*.f64 (PI.f64) 1/12)
	96.9%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 461 to 295 computations (36% saved)

series16.0ms (0.1%)

Counts

15 → 140

Calls

39 calls:

Time	Variable		Point	Expression
4.0ms	f	@	0	(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3)
2.0ms	f	@	inf	(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3)
2.0ms	f	@	-inf	(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3)
1.0ms	f	@	0	(/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
1.0ms	f	@	inf	(/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))

rewrite133.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

544×	`associate-r`
280×	`log1p-expm1-u`
279×	`expm1-log1p-u`
276×	`add-exp-log`
276×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	506
1	760	500

Stop Event

1×	node limit

Counts

15 → 470

Calls

Call 1

Inputs
(*.f64 (PI.f64) 1/12)
(.f64 (PI.f64) (.f64 1/2 (*.f64 (PI.f64) 1/12)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(/.f64 4 (*.f64 (PI.f64) f))
(/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3)
(cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 4 (*.f64 f (PI.f64)))
(log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f))))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (PI.f64))))
(/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f))
(/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (.f64 (PI.f64) f)))) (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 (*.f64 (pow.f64 (PI.f64) 2) 1/144))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/12))
(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)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/12)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/12)))
(-.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 (PI.f64) 3) (pow.f64 (.f64 1/24 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/24 (PI.f64)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.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))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/24 (PI.f64)))))
(+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (neg.f64 (/.f64 (log.f64 f) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 1)
(-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)
(pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) -1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))
(+.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 4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 4 (neg.f64 (/.f64 (neg.f64 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))
(/.f64 1 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1/4))
(/.f64 1 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(/.f64 1 (/.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1/4) 1))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/4))
(/.f64 -1 (neg.f64 (.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 1/4)))
(/.f64 -4 (/.f64 (neg.f64 (PI.f64)) (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) (+.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))
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(.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(.f64 (neg.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) 2) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)))) -1)
(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (PI.f64))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))

simplify238.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1110×	`associate-r`
1070×	`associate-l`
550×	`times-frac`
504×	`associate-*r/`
474×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	879	31586
1	2290	28300

Stop Event

1×	node limit

Counts

610 → 492

Calls

Call 1

Inputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 f))))) (PI.f64))
(.f64 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)))
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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 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 4 (*.f64 f (PI.f64)))
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(/.f64 1 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 1 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(/.f64 1 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 1 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 1 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 1 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
(/.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
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(/.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))))
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(.f64 4 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
(.f64 4 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))))
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(.f64 4 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
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(.f64 4 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
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(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64)) 1/3) (cbrt.f64 4))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64)) 1/3) (cbrt.f64 4))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))) (PI.f64)) 1/3) (cbrt.f64 4))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64)) 1/3) (cbrt.f64 4))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64)) 1/3) (cbrt.f64 4))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64)) 1/3) (cbrt.f64 4))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))) (PI.f64)) 1/3) (cbrt.f64 4))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64)) 1/3) (cbrt.f64 4))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64)) 1/3) (cbrt.f64 4))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64)) 1/3) (cbrt.f64 4))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))) (PI.f64)) 1/3) (cbrt.f64 4))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (.f64 1/32 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (.f64 -1 (log.f64 f)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 f 3) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/24 (.f64 (pow.f64 f 4) (+.f64 (.f64 -12 (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/4 (.f64 (PI.f64) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))))) (.f64 -1/1536 (pow.f64 (PI.f64) 4))))) (*.f64 -3/256 (pow.f64 (PI.f64) 4)))))))))
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(+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 1 f)))
(+.f64 (log.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))) (log.f64 (/.f64 1 f)))
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(.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(.f64 (neg.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) 2) 1) (/.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)))) (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
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(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) 1) (/.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)))) (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)) 1)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))) 2)
(pow.f64 (/.f64 (PI.f64) (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)))) -1)
(neg.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)) 2))
(log.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f)) (/.f64 1 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)) 3))
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(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (PI.f64))) 1))
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Outputs
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (neg.f64 (log.f64 f)))) (PI.f64))
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(/.f64 (log.f64 (/.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64))) f)) (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)))))
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64))) f)) (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64)) 3))
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64))) f)) (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) 3) (pow.f64 (PI.f64) 3)))
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64))) f)) (PI.f64))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64))) f)) (PI.f64))
(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64))) f)) (PI.f64))
(exp.f64 (.f64 (log.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (PI.f64))) 1))
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64))) f)) (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(+.f64 -1 (+.f64 1 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) f))) (PI.f64))))
(/.f64 (log.f64 (/.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64))) f)) (PI.f64))

eval555.0ms (2.6%)

Compiler: Compiled 14818 to 10777 computations (27.3% saved)

prune157.0ms (0.7%)

Pruning

35 alts after pruning (29 fresh and 6 done)

	Pruned	Kept	Total
New	594	11	605
Fresh	8	18	26
Picked	2	3	5
Done	0	3	3
Total	604	35	639

Accuracy

97.0%

Counts

639 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.9%	(neg.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
	95.2%	(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) 0)))
	95.9%	(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 0)))
	94.6%	(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 0)))
	94.4%	(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
✓	93.8%	(neg.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 3))
	95.2%	(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
✓	1.6%	(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
	1.7%	(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))
	95.0%	(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	88.6%	(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 1)))
	94.9%	(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))))
	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))))
✓	95.1%	(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
✓	95.0%	(neg.f64 (/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
	95.1%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
	95.0%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
✓	95.0%	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	93.7%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	93.8%	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	95.7%	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
	93.7%	(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (PI.f64))) 3)))
	94.0%	(neg.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) 1) (PI.f64))))
	95.3%	(neg.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/32 (pow.f64 (*.f64 f (PI.f64)) 2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
	8.3%	(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
	7.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)))) (PI.f64))))
	7.7%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))))) (PI.f64))))
	95.4%	(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
	94.0%	(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) (PI.f64))))
	94.2%	(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))))
	75.5%	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	93.8%	(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	93.9%	(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
✓	94.6%	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3)))

Compiler

Compiled 1839 to 1407 computations (23.5% saved)

regimes123.0ms (0.6%)

Counts

62 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))))
(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))
(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 1)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/32 (pow.f64 (*.f64 f (PI.f64)) 2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 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)))) 16))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) (PI.f64))))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) 1) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) 1)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 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 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 0)))
(neg.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 (.f64 1/4 (.f64 f (PI.f64))))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (neg.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) 0)))
(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) 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)))) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 f (.f64 (PI.f64) 1/2)))))))
(neg.f64 (fma.f64 2 (.f64 (fma.f64 (PI.f64) (.f64 (+.f64 (.f64 1/16 (.f64 (PI.f64) 2)) (*.f64 (/.f64 -2 (/.f64 1/4 (PI.f64))) 1/192)) 1/2) 0) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
(neg.f64 (fma.f64 2 (.f64 (fma.f64 (PI.f64) (.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) 1/2) 0) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))

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

Calls

6 calls:

30.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
30.0ms	f
10.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
10.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
9.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Accuracy	Segments	Branch
95.9%	1	`f`
95.9%	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))))))))`
95.9%	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)))))))`
95.9%	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))))))`
95.9%	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)))))`
95.9%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1338 to 987 computations (26.2% saved)

regimes76.0ms (0.3%)

Counts

53 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))))
(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))
(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 1)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/32 (pow.f64 (*.f64 f (PI.f64)) 2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 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)))) 16))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) (PI.f64))))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) 1) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) 1)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 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 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 0)))

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

Calls

2 calls:

26.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
25.0ms	f

Results

Accuracy	Segments	Branch
95.9%	1	`f`
95.9%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 901 to 660 computations (26.7% saved)

regimes75.0ms (0.3%)

Counts

52 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))))
(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))
(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 1)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/32 (pow.f64 (*.f64 f (PI.f64)) 2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 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)))) 16))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) (PI.f64))))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) 1) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) 1)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 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 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))

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

Calls

2 calls:

27.0ms	f
25.0ms	(*.f64 (/.f64 (PI.f64) 4) f)

Results

Accuracy	Segments	Branch
95.7%	1	`f`
95.7%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 874 to 641 computations (26.7% saved)

regimes70.0ms (0.3%)

Counts

51 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))))
(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))
(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 1)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/32 (pow.f64 (*.f64 f (PI.f64)) 2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) f)) (log.f64 (*.f64 (PI.f64) 1/2)))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) 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)))) 16))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))))))
(neg.f64 (.f64 4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) (PI.f64))))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) f))) (PI.f64))) 3)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 (PI.f64) f)))))) 1) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2))))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (.f64 2 (cosh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))))) 1)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (.f64 f (*.f64 (PI.f64) 1/2))))))

Outputs
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))

Calls

2 calls:

26.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
24.0ms	f

Results

Accuracy	Segments	Branch
95.4%	1	`f`
95.4%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 845 to 618 computations (26.9% saved)

regimes31.0ms (0.1%)

Counts

37 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (+.f64 (.f64 1/8 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64)))))))
(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))
(neg.f64 (pow.f64 (/.f64 2 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 2))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (expm1.f64 (log1p.f64 (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)))))))
(neg.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))))) 1)))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (*.f64 f (PI.f64))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (.f64 1/32 (pow.f64 (*.f64 f (PI.f64)) 2)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))) (PI.f64))))
(neg.f64 (fma.f64 4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8))))
(neg.f64 (.f64 4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))))

Outputs
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
95.4%	1	`f`

Compiler

Compiled 520 to 373 computations (28.3% saved)

regimes17.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
95.2%	1	`f`

Compiler

Compiled 225 to 164 computations (27.1% saved)

regimes16.0ms (0.1%)

Counts

17 → 1

Calls

Call 1

Inputs
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(neg.f64 (/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 4 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64))))))
(neg.f64 (/.f64 4 (fabs.f64 (.f64 (PI.f64) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))
(neg.f64 (/.f64 4 (fabs.f64 (/.f64 (PI.f64) (log1p.f64 (-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1))))))
(neg.f64 (/.f64 4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)))))
(neg.f64 (/.f64 (log.f64 (.f64 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 1/2)) (.f64 (PI.f64) 1/4)))

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
95.2%	1	`f`

Compiler

Compiled 210 to 153 computations (27.1% saved)

regimes5.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
95.0%	1	`f`

Compiler

Compiled 32 to 25 computations (21.9% 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 10 to 9 computations (10% saved)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

110×	`*-commutative`
76×	`neg-mul-1`
76×	`+-commutative`
76×	`neg-sub0`
74×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	96	580
1	167	580
2	245	580
3	304	572
4	356	568
5	398	568
6	419	568
7	421	568

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(neg.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 0)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(neg.f64 (/.f64 (*.f64 4 (log.f64 1/2)) (PI.f64)))

Outputs
(neg.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (PI.f64) 2) 1/24) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) 0)))
(neg.f64 (fma.f64 2 (.f64 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12))) (/.f64 (pow.f64 f 2) (PI.f64))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 0)))
(neg.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 f 2) (PI.f64)) (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12)))) (fma.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 0)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f))))
(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 (neg.f64 1) (/.f64 (PI.f64) 4)))
(.f64 (log.f64 (fma.f64 f (fma.f64 1/16 (.f64 2 (PI.f64)) (/.f64 -2 (/.f64 (*.f64 1/2 (/.f64 1/2 (PI.f64))) 1/192))) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -1 (/.f64 (PI.f64) 4)))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 f 2) (PI.f64))) (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))))
(neg.f64 (+.f64 (.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))))
(-.f64 (.f64 1/8 (neg.f64 (.f64 (PI.f64) (pow.f64 f 2)))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(-.f64 (.f64 1/8 (.f64 (PI.f64) (neg.f64 (pow.f64 f 2)))) (*.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))
(-.f64 (.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 1/8 (*.f64 (PI.f64) (pow.f64 f 2))))
(neg.f64 (.f64 4 (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 f (PI.f64))) (/.f64 1 (*.f64 f (PI.f64)))))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 (PI.f64) f)) (/.f64 1 (*.f64 (PI.f64) f))))) (PI.f64)))
(.f64 4 (/.f64 (neg.f64 (log.f64 (.f64 4 (+.f64 (.f64 1/32 (.f64 (PI.f64) f)) (/.f64 1 (*.f64 (PI.f64) f)))))) (PI.f64)))
(neg.f64 (.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f))) (PI.f64))))
(.f64 (neg.f64 4) (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)) (neg.f64 4))
(.f64 4 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2)))) (PI.f64)))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 1/4)))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) 1/4))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(*.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(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))

Compiler

Compiled 170 to 139 computations (18.2% saved)

soundness3.3s (15.1%)

Rules

1344×	`times-frac`
1344×	`times-frac`
1344×	`times-frac`
1344×	`times-frac`
1344×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	142	3777
1	420	3549
2	1632	3244
0	47	598
1	792	598
0	45	500
1	705	464
0	935	24379
1	2372	22209
0	46	506
1	760	500
0	879	31586
1	2290	28300
0	20	112
1	310	112
2	5551	112
0	947	21610
1	2238	19360
0	142	3777
1	420	3549
2	1632	3244
0	47	598
1	792	598
0	947	21610
1	2238	19360
0	935	24379
1	2372	22209
0	142	3777
1	420	3549
2	1632	3244
0	47	598
1	792	598
0	142	3777
1	420	3549
2	1632	3244
0	142	3777
1	420	3549
2	1632	3244
0	47	598
1	792	598
0	947	21610
1	2238	19360
0	142	3777
1	420	3549
2	1632	3244
0	879	31586
1	2290	28300

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

Compiler

Compiled 2767 to 2101 computations (24.1% saved)

end0.0ms (0%)

preprocess185.0ms (0.9%)

Compiler: Compiled 400 to 298 computations (25.5% saved)

analyze291.0ms (1.3%)

sample8.7s (40.1%)

preprocess1.3s (5.9%)

eval3.0ms (0%)

prune2.0ms (0%)

localize700.0ms (3.2%)

series78.0ms (0.4%)

rewrite78.0ms (0.4%)

simplify66.0ms (0.3%)

eval55.0ms (0.3%)

prune40.0ms (0.2%)

localize712.0ms (3.3%)

series230.0ms (1.1%)

rewrite142.0ms (0.7%)

simplify167.0ms (0.8%)

eval484.0ms (2.2%)

prune184.0ms (0.8%)

localize567.0ms (2.6%)

series62.0ms (0.3%)

rewrite131.0ms (0.6%)

simplify769.0ms (3.5%)

eval1.1s (5%)

prune296.0ms (1.4%)

localize558.0ms (2.6%)

series16.0ms (0.1%)

rewrite133.0ms (0.6%)

simplify238.0ms (1.1%)

eval555.0ms (2.6%)

prune157.0ms (0.7%)

regimes123.0ms (0.6%)

regimes76.0ms (0.3%)

regimes75.0ms (0.3%)

regimes70.0ms (0.3%)

regimes31.0ms (0.1%)

regimes17.0ms (0.1%)

regimes16.0ms (0.1%)

regimes5.0ms (0%)

regimes3.0ms (0%)

simplify20.0ms (0.1%)

soundness3.3s (15.1%)

end0.0ms (0%)

preprocess185.0ms (0.9%)

Profiling