Details

analyze322.0ms (1.5%)

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%	25%	0%	0%	3
0%	0%	62.5%	0%	25%	0%	12.5%	4
0%	0%	56.2%	0%	25%	0%	18.7%	5
6.3%	3.1%	46.9%	0%	25%	3.1%	21.9%	6
6.5%	3.1%	45.3%	0%	25%	3.1%	23.4%	7
6.6%	3.1%	44.5%	0%	25%	3.1%	24.2%	8
7.4%	3.5%	44.1%	0%	25%	3.1%	24.2%	9
7.8%	3.7%	43.9%	0%	25%	3.1%	24.2%	10
8%	3.8%	43.8%	0%	25%	3.1%	24.2%	11
8%	3.8%	43.8%	0%	25%	3.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample9.6s (44.6%)

Results

3.2s	3983×	body	1024	invalid
3.1s	4038×	body	1024	valid
999.0ms	2000×	body	512	valid
888.0ms	2085×	body	512	invalid
790.0ms	537×	body	2048	valid
377.0ms	1681×	body	256	valid
257.0ms	1033×	body	256	invalid
4.0ms	5×	body	2048	invalid
1.0ms	7×	body	256	unsamplable

Bogosity

preprocess72.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1356×	`associate-+r+`
1096×	`fma-def`
1034×	`associate-+l+`
856×	`+-commutative`
650×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	52	121
2	130	117
3	326	109
4	1011	109
5	2615	109
6	5937	109
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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))))))))

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate-+r+`
1096×	`fma-def`
1034×	`associate-+l+`
856×	`+-commutative`
650×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	52	121
2	130	117
3	326	109
4	1011	109
5	2615	109
6	5937	109

Stop Event

1×	node limit

Counts

1 → 8

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))))))))

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

eval4.0ms (0%)

Compiler: Compiled 272 to 190 computations (30.1% saved)

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	7	2	9

Error

95.19%

Counts

9 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	95.19%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))
▶	95.21%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))

Status

Error

Program

▶

95.19%

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

▶

95.21%

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

Compiler

Compiled 71 to 51 computations (28.2% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
✓	0.38%	(*.f64 (PI.f64) f)
✓	1.92%	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
✓	6.84%	(-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))

Compiler

Compiled 147 to 82 computations (44.2% saved)

series91.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
55.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
29.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
2.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))))
1.0ms	f	@	-inf	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
1.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))

rewrite183.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`associate-/l*`
1080×	`associate-/r/`
552×	`associate-/l/`
362×	`add-sqr-sqrt`
352×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	238
1	364	238
2	4887	238

Stop Event

1×	node limit

Counts

4 → 250

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 1) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (+.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 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simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

284×	`*-commutative`
194×	`+-commutative`
116×	`associate-*l/`
116×	`sqr-pow`
112×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	693	4230
1	2770	4230

Stop Event

1×

unsound

Counts

298 → 297

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (.f64 (PI.f64) -2) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (.f64 (PI.f64) -2) f (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) -2) 1/192)))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) -2) f (.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) -2) 1/192))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.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 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) -2) f (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) -2) 1/192) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 (/.f64 -2 (*.f64 (PI.f64) -2)) f)
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (+.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f) (.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (+.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (.f64 f (+.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) -2)) (.f64 (PI.f64) -2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) -2) 1/192) (pow.f64 (*.f64 (PI.f64) -2) -2)) -2))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (fma.f64 (.f64 f f) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) -2) (.f64 (PI.f64) -2)) -2) (/.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) -2) (/.f64 (.f64 (PI.f64) -2) (.f64 (pow.f64 (PI.f64) -2) 1/192)))) (+.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (.f64 f (+.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) -2)) (.f64 (PI.f64) -2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) -2) 1/192) (pow.f64 (.f64 (PI.f64) -2) -2)) -2)))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (-.f64 -2 (log.f64 (*.f64 (PI.f64) -2))) (neg.f64 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.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 -1 (log.f64 f))))
(+.f64 (-.f64 -2 (log.f64 (.f64 (PI.f64) -2))) (fma.f64 -2 (.f64 (.f64 (PI.f64) -2) (.f64 f (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) -2))) (neg.f64 (log.f64 f))))
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(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))) (+.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
-2
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) 3) (pow.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) 3)) (+.f64 (.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (+.f64 (.f64 (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) (*.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))))
-2
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) 1)
-2
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))) 2)
-2
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))) 3)
-2
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) 3) 1/3)
-2
(neg.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
-2
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) 2))
(sqrt.f64 -2)
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) 3))
-2
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))
-2
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))))
-2
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))) 1))
-2
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) 1))
(log1p.f64 -2)

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))
✓	0.38%	(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))
✓	1.92%	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))
✓	6.84%	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))

Compiler

Compiled 168 to 113 computations (32.7% saved)

series30.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))
6.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))
1.0ms	f	@	0	(-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))
0.0ms	f	@	-inf	(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) 4)) f) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))

rewrite147.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`associate-/r*`
1268×	`associate-/l*`
372×	`add-sqr-sqrt`
362×	`*-un-lft-identity`
360×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	268
1	369	92
2	5127	92

Stop Event

1×	node limit

Counts

4 → 286

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 (.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 1) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (+.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 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(exp.f64 (PI.f64)) 1/4) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 2) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) 1 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f)) (pow.f64 (pow.f64 (exp.f64 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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))))))

simplify171.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

896×	`associate-r`
880×	`associate-/l*`
726×	`times-frac`
678×	`associate-/r*`
668×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	754	21356
1	2055	18252

Stop Event

1×	node limit

Counts

334 → 490

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.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 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.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 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.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 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 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
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(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
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(/.f64 (neg.f64 (sqrt.f64 f)) (/.f64 (/.f64 4 (PI.f64)) (sqrt.f64 f)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 4 (PI.f64)) (cbrt.f64 f)))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 f))))
(/.f64 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 f)) (/.f64 -4 (.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 f))))
(/.f64 (/.f64 f 4) (/.f64 1 (PI.f64)))
(/.f64 (/.f64 f (sqrt.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (/.f64 4 (PI.f64))))
(/.f64 (/.f64 f (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (cbrt.f64 (/.f64 4 (PI.f64))))) (cbrt.f64 (/.f64 4 (PI.f64))))
(pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2) 2)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/4 f))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) 3) 1/3)
(neg.f64 (.f64 (PI.f64) (.f64 1/4 f)))
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/4 f)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/4) 3) (pow.f64 f 3)))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (.f64 (PI.f64) 1/4) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(+.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 0)
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (/.f64 1/2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (neg.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(+.f64 0 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(+.f64 (log.f64 (/.f64 1/2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(+.f64 (log.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (log.f64 (pow.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2)))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (log.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (+.f64 (log.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (log.f64 (/.f64 1/2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (+.f64 (log.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (neg.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
(+.f64 (log.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (-.f64 (log.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2)) (+.f64 (log.f64 (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (log.f64 (/.f64 1/2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2)) (+.f64 (log.f64 (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (neg.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2)) (-.f64 (log.f64 (cbrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(+.f64 (log.f64 (pow.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2)) (log.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(+.f64 (neg.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(+.f64 (+.f64 0 (log.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (log.f64 (/.f64 1 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2))) (log.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(+.f64 (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(+.f64 (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 f 3)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 f 3))))) (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 2 f)) (.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))
(-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(-.f64 0 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(-.f64 (log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (+.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(-.f64 (log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (-.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (/.f64 1/2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(-.f64 (log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (-.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (neg.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 f 3)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 f 3)))) (-.f64 (log.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 2 f)))) (log.f64 (/.f64 1/2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 f 3)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 f 3)))) (-.f64 (log.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 2 f)))) (neg.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 f 3)) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 f 3)))) (+.f64 (log.f64 (-.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) f) (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 1/4) (.f64 2 f)))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))) 1)
(-.f64 (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 0) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(-.f64 (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (pow.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2))) (log.f64 (cbrt.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(-.f64 (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (log.f64 (sqrt.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) 1)
(.f64 1 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3) (pow.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)) (+.f64 (+.f64 (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
(pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 1)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2)
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 3)
(pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3) 1/3)
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 1))
(log1p.f64 (expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (.f64 (PI.f64) 1/2) f)
(.f64 (PI.f64) (.f64 1/2 f))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.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 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
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0
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0
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(.f64 1 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 2))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (+.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (+.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3) (pow.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)) (+.f64 (+.f64 (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3) (pow.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)) (+.f64 (fma.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3) (pow.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)) (+.f64 (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (+.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))))
(pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 1)
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2)
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 3)
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3) 1/3)
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 1))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(log1p.f64 (expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))

eval997.0ms (4.6%)

Compiler: Compiled 46654 to 30962 computations (33.6% saved)

prune319.0ms (1.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	940	19	959
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	942	19	961

Error

0.32%

Counts

961 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	2.2%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (pow.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) 3) 1/3))
▶	1.13%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 2))
	2.08%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 3))
	3.17%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3) (pow.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)) (+.f64 (+.f64 (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))))
	3.09%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3) (pow.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)) (+.f64 (.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (+.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))))
	4.77%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)))
	2.82%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
	2.93%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (+.f64 (log.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (-.f64 (log.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))
	0.9%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 3 (neg.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))
	0.76%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 2 (neg.f64 (log.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))
	0.76%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
▶	0.76%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
	4.85%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))))
▶	0.8%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
	1.85%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
▶	1.74%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
	1.18%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) 3)))
▶	100%	(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
	71.15%	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))

Compiler

Compiled 986 to 850 computations (13.8% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.17%	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))
✓	0.39%	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.61%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
✓	8.63%	(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))

Compiler

Compiled 85 to 65 computations (23.5% saved)

series99.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
46.0ms	f	@	inf	(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
44.0ms	f	@	-inf	(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
4.0ms	f	@	0	(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
1.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
1.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))

rewrite151.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`associate-/r*`
522×	`distribute-lft-in`
512×	`associate-/r/`
462×	`associate-/l*`
396×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	116
1	423	100
2	5124	100

Stop Event

1×	node limit

Counts

4 → 202

Calls

Call 1

Inputs
(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
(.f64 (PI.f64) (.f64 1/4 f))
(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))

Outputs
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simplify110.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

870×	`associate-r`
688×	`associate-/l*`
684×	`associate-l`
596×	`times-frac`
540×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	604	11958
1	1700	9452

Stop Event

1×	node limit

Counts

250 → 328

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))) 1)
(expm1.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(+.f64 (/.f64 1 (.f64 f (.f64 1/4 (PI.f64)))) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))))) (PI.f64))) (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))) 1)
(+.f64 (.f64 -2 (/.f64 f (/.f64 (PI.f64) (.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 (pow.f64 (PI.f64) 2) 0))))) (expm1.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 f (PI.f64)) (/.f64 0 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 1 (.f64 f (*.f64 1/4 (PI.f64))))) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))))) (PI.f64))) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/2 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 f 2) (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))))) (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))))) 1)
(+.f64 (fma.f64 -2 (/.f64 f (/.f64 (PI.f64) (.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 (pow.f64 (PI.f64) 2) 0)))) (fma.f64 (fma.f64 2 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (.f64 -1/2 (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)) (/.f64 (.f64 -4 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2)) (pow.f64 (PI.f64) 2))))) (.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 f f)) (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))))) -1)
(+.f64 (fma.f64 -2 (.f64 (/.f64 f (PI.f64)) (/.f64 0 (.f64 f (.f64 1/4 (PI.f64))))) (.f64 (+.f64 (.f64 (+.f64 0 (.f64 -4 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)))) (.f64 f f)) 1) (/.f64 1 (.f64 f (.f64 1/4 (PI.f64)))))) -1)
(-.f64 (+.f64 (.f64 -2 (/.f64 (.f64 f (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))))) (PI.f64))) (+.f64 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 -1/2 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 f 2) (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))))) (+.f64 (.f64 (pow.f64 f 3) (.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (+.f64 (.f64 -1/6 (+.f64 (.f64 24 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/3072 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (.f64 16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (.f64 -48 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 -4/3 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (/.f64 (.f64 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (PI.f64)))))) (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))))))) 1)
(+.f64 (fma.f64 -2 (/.f64 f (/.f64 (PI.f64) (.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 (pow.f64 (PI.f64) 2) 0)))) (fma.f64 (fma.f64 2 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (.f64 -1/2 (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)) (/.f64 (.f64 -4 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2)) (pow.f64 (PI.f64) 2))))) (.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 f f)) (fma.f64 (pow.f64 f 3) (.f64 (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (fma.f64 -1/6 (fma.f64 24 (/.f64 (fma.f64 1/2 (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (neg.f64 (fma.f64 -1/8 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/128))) (.f64 (.f64 1/64 (.f64 (pow.f64 (PI.f64) 2) 0)) (pow.f64 (PI.f64) 2))))) (PI.f64)) (fma.f64 16 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)) (.f64 -48 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0)))))) (fma.f64 -4/3 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)) (/.f64 (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)) (/.f64 (.f64 -4 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2)) (pow.f64 (PI.f64) 2))) (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 0)))))) (exp.f64 (neg.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))))))) -1)
(fma.f64 -2 (.f64 (/.f64 f (PI.f64)) (/.f64 0 (.f64 f (.f64 1/4 (PI.f64))))) (+.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 0 (.f64 -4 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)))) (.f64 f f)) 1) (/.f64 1 (.f64 f (.f64 1/4 (PI.f64))))) (.f64 (fma.f64 -1/6 (+.f64 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 (pow.f64 (PI.f64) 3) -1/128)) (/.f64 (PI.f64) 0)) (fma.f64 24 (/.f64 (fma.f64 1/2 (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 4) -1/32) (+.f64 (.f64 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/192)) (.f64 (PI.f64) -1/4)) (.f64 (pow.f64 (PI.f64) 4) -1/3072))) (neg.f64 (fma.f64 -1/8 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/128))) 0))) (PI.f64)) 0)) (+.f64 (/.f64 (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) 0) (/.f64 (PI.f64) 0)) 0)) (.f64 (/.f64 1 (.f64 f (*.f64 1/4 (PI.f64)))) (pow.f64 f 3)))) -1))
(-.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))))) 1)
(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) -1)
(-.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))))) 1)
(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) -1)
(-.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))))) 1)
(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) -1)
(-.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))))) 1)
(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) -1)
(-.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))))) 1)
(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) -1)
(-.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))))) 1)
(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) -1)
(-.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))))) 1)
(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) -1)
(-.f64 (exp.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))))))) 1)
(expm1.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(+.f64 (/.f64 1 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) -1)
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64)))
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(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 2)) (neg.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 2)) (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) 2) (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 2)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2))) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(/.f64 (neg.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 2)) (neg.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))))
(neg.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) 2) (neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))))
(pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 1)
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2)
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3) 1/3)
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(+.f64 (neg.f64 (log.f64 (expm1.f64 (.f64 (PI.f64) (.f64 (.f64 f 1/4) 2))))) (log1p.f64 (pow.f64 (exp.f64 2) (.f64 1/4 (*.f64 f (PI.f64))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 2))
(sqrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 2))
(fabs.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(expm1.f64 (log1p.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(exp.f64 (log.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) 1))
(log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))
(log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(log1p.f64 (+.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -1))
(log1p.f64 (+.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))) -1))
(log1p.f64 (+.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))) -1))

localize7.0ms (0%)

Compiler: Compiled 15 to 13 computations (13.3% saved)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.21%	(log.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
	0.39%	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.43%	(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))
✓	0.61%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))

Compiler

Compiled 67 to 51 computations (23.9% saved)

series47.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
19.0ms	f	@	-inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
5.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
1.0ms	f	@	0	(log.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
1.0ms	f	@	0	(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`associate-/r*`
684×	`associate-/r/`
520×	`associate-/l*`
496×	`distribute-lft-in`
378×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	390	93
2	4895	93

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

Inputs

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

(/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))

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

Outputs

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simplify140.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1240×	`times-frac`
1136×	`associate-/l*`
870×	`associate-r`
758×	`associate-/r*`
646×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	603	15929
1	1835	13523

Stop Event

1×	node limit

Counts

219 → 336

Calls

Call 1

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

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

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.17%	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))
	0.39%	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.61%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
✓	1.57%	(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))

Compiler

Compiled 85 to 65 computations (23.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
0.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
0.0ms	f	@	inf	(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
0.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
0.0ms	f	@	-inf	(exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`associate-*l/`
966×	`associate-/r*`
394×	`add-sqr-sqrt`
382×	`*-un-lft-identity`
378×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	74
1	415	60
2	5079	60

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 2)) (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 2))) (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify118.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

870×	`associate-+l+`
856×	`associate-+r+`
802×	`times-frac`
782×	`associate-r`
730×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	426	7843
1	1198	6945
2	6840	6945

Stop Event

1×	node limit

Counts

145 → 221

Calls

Call 1

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

Outputs
(.f64 -1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
(neg.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))))
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(fma.f64 -1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (.f64 -2 (/.f64 f (/.f64 (PI.f64) (*.f64 (pow.f64 (PI.f64) 2) 0)))))
(-.f64 (.f64 0 (/.f64 f (PI.f64))) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
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(fma.f64 -1/2 (.f64 (.f64 f f) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)) (/.f64 (.f64 -4 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2)) (pow.f64 (PI.f64) 2)))) (fma.f64 -1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (fma.f64 -2 (/.f64 f (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 0))) (.f64 (.f64 -1/6 (pow.f64 f 3)) (fma.f64 24 (/.f64 (fma.f64 1/2 (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (neg.f64 (fma.f64 -1/8 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/128))) (.f64 1/64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0)))))) (PI.f64)) (fma.f64 16 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)) (.f64 -48 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 2) 0))))))))))
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(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
(neg.f64 (log.f64 (tanh.f64 (.f64 (.f64 1/4 (PI.f64)) f))))
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(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
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(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
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(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
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(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
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(.f64 -1 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))))) (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 1 (exp.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))))
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(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(pow.f64 (sqrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))) 2)
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(pow.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))) 3)
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(pow.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))) 3) 1/3)
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(neg.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (neg.f64 (/.f64 4 (PI.f64))))
(.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
(sqrt.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))) 2))
(sqrt.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64))) 2))
(fabs.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64))))
(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 4 (PI.f64))))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (tanh.f64 (.f64 (.f64 1/4 (PI.f64)) f)) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))) 3))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 3)))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(exp.f64 (log.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64)))) 1))
(.f64 (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f))) (/.f64 4 (PI.f64)))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))) (PI.f64)))
(log1p.f64 (-.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (tanh.f64 (.f64 (.f64 1/4 (PI.f64)) f)) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))) (/.f64 4 (PI.f64)))))

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.23%	(sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
	0.39%	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.61%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 2))
✓	0.81%	(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2)

Compiler

Compiled 88 to 68 computations (22.7% saved)

series12.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	f	@	0	(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2)
2.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 2))
1.0ms	f	@	0	(sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
1.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 2))
1.0ms	f	@	inf	(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2)

rewrite110.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`associate-*l/`
966×	`associate-/r*`
412×	`add-sqr-sqrt`
398×	`*-un-lft-identity`
394×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	105
1	449	87
2	5281	87

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

Inputs

(pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) 2)

(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (pow.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) 2))

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 1/4) (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (cbrt.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))))

simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

978×	`associate-r`
808×	`associate-l`
794×	`times-frac`
696×	`associate-/l*`
590×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	525	12925
1	1482	10063

Stop Event

1×	node limit

Counts

185 → 268

Calls

Call 1

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

Outputs
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (pow.f64 (sqrt.f64 -1) 2))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) -1)
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))) (PI.f64))) (.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (pow.f64 (sqrt.f64 -1) 2)))
(fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) f) (.f64 (pow.f64 (PI.f64) 2) 0)) (PI.f64)) (.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (pow.f64 (sqrt.f64 -1) 2)))
(fma.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) -1 (.f64 2 (/.f64 (*.f64 f 0) (PI.f64))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (pow.f64 (sqrt.f64 -1) 2)) (.f64 (pow.f64 f 2) (+.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2)) (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (pow.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))) (PI.f64))) 2)) (pow.f64 (sqrt.f64 -1) 2))))))
(fma.f64 2 (/.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) f) (.f64 (pow.f64 (PI.f64) 2) 0)) (PI.f64)) (fma.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 f f) (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2)) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))) (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (fma.f64 1/2 (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)) (.f64 -4 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)))) (neg.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 0) (PI.f64))) 2))))))))
(fma.f64 2 (/.f64 (.f64 f 0) (PI.f64)) (fma.f64 (.f64 f f) (fma.f64 -1 (+.f64 (.f64 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) 4) (neg.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) 0) 2))) (/.f64 0 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) -1)))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 (pow.f64 f 2) (+.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2)) (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (pow.f64 (PI.f64) 2))) (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (PI.f64))) 2)) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (PI.f64))) 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))) (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (-.f64 (.f64 1/6 (+.f64 (.f64 24 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/32 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -1/1536 (pow.f64 (PI.f64) 4)) (+.f64 (.f64 1/3072 (pow.f64 (PI.f64) 4)) (.f64 -1/4 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 -1/128 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3)))) (PI.f64))))))) (+.f64 (.f64 -1/8 (.f64 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 2))))) (PI.f64))) (+.f64 (.f64 16 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 3) (pow.f64 (PI.f64) 3))) (.f64 -48 (/.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2)))))) (/.f64 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (-.f64 (.f64 1/2 (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))))) (pow.f64 (.f64 (sqrt.f64 (/.f64 1 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (PI.f64))) 2))) (.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))))) (pow.f64 f 3)))))
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(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))))
(.f64 (fabs.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))) (sqrt.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64))))))))
(.f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64)))))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (tanh.f64 (.f64 f (*.f64 1/4 (PI.f64)))))))
(pow.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 1)
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 1/2)
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 1/4) 2)
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 3)
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(pow.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 3/2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) 3/2))
(fabs.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3/2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) 3/2))
(cbrt.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 1))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) 1/2))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))

eval938.0ms (4.4%)

Compiler: Compiled 45207 to 36178 computations (20% saved)

prune342.0ms (1.6%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	1466	16	1482
Fresh	11	3	14
Picked	1	0	1
Done	1	3	4
Total	1479	22	1501

Error

0.13%

Counts

1501 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	2.25%	(pow.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))) 3)
	1.23%	(/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (/.f64 (cbrt.f64 (.f64 1/4 (PI.f64))) (log.f64 (tanh.f64 (.f64 (*.f64 1/4 (PI.f64)) f)))))
▶	0.65%	(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)) 1/4)
	0.91%	(/.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (tanh.f64 (.f64 (.f64 1/4 (PI.f64)) f)))))
	0.92%	(/.f64 (.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (sqrt.f64 (PI.f64)))
	4.72%	(/.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 4) (PI.f64))
	3.14%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)))
▶	0.75%	(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
	0.9%	(.f64 (/.f64 4 (PI.f64)) (.f64 3 (log.f64 (cbrt.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))))
	4.77%	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	2.82%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
	4.85%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 1 (.f64 f (*.f64 1/4 (PI.f64)))) -1)))
	4.85%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
✓	0.8%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
	1.85%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (expm1.f64 (log1p.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
▶	5.89%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64))))))))
✓	1.74%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
▶	1.18%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) 3)))
✓	100%	(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
▶	4.74%	(.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64)))
	21.35%	(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 4 (PI.f64))))
	1.17%	(cbrt.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))) 3))

Compiler

Compiled 654 to 558 computations (14.7% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.04%	(tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))
	0.17%	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))
	0.39%	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.49%	(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))

Compiler

Compiled 45 to 31 computations (31.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))
1.0ms	f	@	0	(tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))
0.0ms	f	@	inf	(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))
0.0ms	f	@	-inf	(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))
0.0ms	f	@	-inf	(tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`associate-*r/`
908×	`associate-*l/`
784×	`associate-/r*`
558×	`associate-/l*`
380×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	257	50
2	3341	50

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))
(tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (*.f64 (/.f64 1 (PI.f64)) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (PI.f64)) (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 2))) (*.f64 (/.f64 1 (PI.f64)) (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 (PI.f64)) 0) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 1 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 2)) (/.f64 1 (PI.f64))) (*.f64 (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (*.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) (sqrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2) (*.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 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(#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))

simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1760×	`associate-/r/`
660×	`+-commutative`
616×	`associate-/l*`
574×	`associate-+l+`
556×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	9381
1	1359	8183
2	5732	8149

Stop Event

1×	node limit

Counts

155 → 235

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))
(+.f64 (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))
(fma.f64 2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64))))
(+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64)) (/.f64 f (/.f64 (PI.f64) 0))))
(+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (.f64 f 0) (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64))))
(+.f64 (.f64 2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 f 2) (+.f64 (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))))) (PI.f64))) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64)))))
(fma.f64 2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/2 (/.f64 (.f64 f f) (/.f64 (PI.f64) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)) (/.f64 (.f64 -4 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2)) (pow.f64 (PI.f64) 2))))) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64)))))
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(fma.f64 2 (/.f64 f (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0))) (+.f64 (/.f64 (log.f64 f) (PI.f64)) (fma.f64 1/2 (/.f64 (.f64 f f) (/.f64 (PI.f64) (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)) (/.f64 (.f64 -4 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2)) (pow.f64 (PI.f64) 2))))) (fma.f64 1/6 (/.f64 (pow.f64 f 3) (/.f64 (PI.f64) (fma.f64 24 (/.f64 (fma.f64 1/2 (fma.f64 -1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (fma.f64 -1/1536 (pow.f64 (PI.f64) 4) (fma.f64 1/3072 (pow.f64 (PI.f64) 4) (.f64 -1/4 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/192))))))) (neg.f64 (fma.f64 -1/8 (.f64 (PI.f64) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/128))) (.f64 1/64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0)))))) (PI.f64)) (fma.f64 16 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 3) (pow.f64 (PI.f64) 3)) (.f64 -48 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 0)))))))) (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64))))))
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(/.f64 (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))) (PI.f64))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))))
(pow.f64 (exp.f64 1) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(pow.f64 (E.f64) (log.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))))
(pow.f64 (E.f64) (log.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))))
(sqrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 2))
(sqrt.f64 (pow.f64 (tanh.f64 (.f64 1/4 (.f64 f (PI.f64)))) 2))
(fabs.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))
(log.f64 (exp.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))
(tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))
(tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))
(cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) 3))
(tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))
(tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))
(expm1.f64 (log1p.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))
(tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))
(exp.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))
(tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))
(log1p.f64 (expm1.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(tanh.f64 (.f64 1/4 (.f64 f (PI.f64))))
(tanh.f64 (.f64 f (.f64 1/4 (PI.f64))))

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
✓	0.38%	(.f64 f (.f64 1/4 (PI.f64)))
✓	0.48%	(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))

Compiler

Compiled 37 to 25 computations (32.4% saved)

series100.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
52.0ms	f	@	-inf	(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
42.0ms	f	@	0	(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
6.0ms	f	@	inf	(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
0.0ms	f	@	inf	(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
0.0ms	f	@	-inf	(log.f64 (.f64 f (.f64 1/4 (PI.f64))))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
732×	`unswap-sqr`
654×	`swap-sqr`
642×	`associate-/r*`
520×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	222	61
2	2713	61

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

Inputs
(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
(.f64 f (.f64 1/4 (PI.f64)))
(log.f64 (.f64 f (.f64 1/4 (PI.f64))))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1))))))

simplify155.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1402×	`associate-/r/`
1188×	`associate-+r+`
1136×	`associate-+l+`
564×	`associate-l`
534×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	388	6111
1	898	5491
2	4208	5491

Stop Event

1×	node limit

Counts

199 → 214

Calls

Call 1

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

Outputs
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64))
(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64))
(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64))
(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64))
(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64))
(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64))
(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64))
(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64))
(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (.f64 -1/4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) -1/4)) (log.f64 (/.f64 -1 f))) (PI.f64))
(.f64 1/4 (.f64 f (PI.f64)))
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(.f64 (PI.f64) (.f64 f 1/4))
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(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 1/4 (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 f (.f64 1/4 (PI.f64)))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(log.f64 (.f64 (PI.f64) (.f64 f 1/4)))
(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(log.f64 (.f64 (PI.f64) (.f64 f 1/4)))
(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(log.f64 (.f64 (PI.f64) (.f64 f 1/4)))
(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(log.f64 (.f64 (PI.f64) (.f64 f 1/4)))
(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/4 (PI.f64))))
(log.f64 (.f64 (PI.f64) (.f64 f 1/4)))
(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/4 (PI.f64))))
(log.f64 (.f64 (PI.f64) (.f64 f 1/4)))
(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (.f64 1/4 (PI.f64))))
(log.f64 (.f64 (PI.f64) (.f64 f 1/4)))
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(exp.f64 (log.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
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(log1p.f64 (fma.f64 (PI.f64) (*.f64 f 1/4) -1))
(log1p.f64 (fma.f64 1/4 (*.f64 f (PI.f64)) -1))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.17%	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))
✓	0.38%	(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
	0.39%	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.46%	(/.f64 (.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))

Compiler

Compiled 53 to 38 computations (28.3% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	f	@	0	(/.f64 (.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
1.0ms	f	@	inf	(/.f64 (.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
1.0ms	f	@	-inf	(/.f64 (.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
1.0ms	f	@	0	(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
0.0ms	f	@	inf	(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`associate-/l*`
584×	`associate-/r/`
500×	`distribute-lft-neg-in`
462×	`distribute-rgt-neg-in`
454×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	319	74
2	4144	74

Stop Event

1×	node limit

Counts

2 → 143

Calls

Call 1

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

Outputs

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simplify162.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

812×	`associate-r`
746×	`*-commutative`
676×	`associate-l`
560×	`associate-+l+`
540×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	494	9789
1	1447	8697
2	6566	8553

Stop Event

1×	node limit

Counts

167 → 207

Calls

Call 1

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

Outputs
(.f64 1/4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))))
(/.f64 (.f64 1/4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
(/.f64 (PI.f64) (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 1/4))
(+.f64 (.f64 1/4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (.f64 -1/2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2))))
(fma.f64 1/4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))) (/.f64 (.f64 -1/2 (.f64 f (.f64 (pow.f64 (PI.f64) 2) 0))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2)))
(fma.f64 1/4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))) (/.f64 f (/.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 2) 0)))
(+.f64 (.f64 1/4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 f 2) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (pow.f64 (PI.f64) 2))) (.f64 8 (/.f64 (-.f64 (.f64 1/2 (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/4 (.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/32 (pow.f64 (PI.f64) 2))) (PI.f64))) (.f64 -1/128 (pow.f64 (PI.f64) 3))))) (.f64 1/128 (pow.f64 (PI.f64) 3))) (PI.f64)))) (PI.f64)) (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 2))) (.f64 -4 (/.f64 (pow.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) 2) (.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 3) (PI.f64))))))) (.f64 -1/2 (/.f64 (.f64 f (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2)))))
(fma.f64 1/4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))) (fma.f64 -1/4 (.f64 (.f64 f f) (fma.f64 1/2 (/.f64 (fma.f64 -4 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (PI.f64) 2)) (.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 1/192 (pow.f64 (PI.f64) 3) (fma.f64 -1/4 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/32)) (.f64 (pow.f64 (PI.f64) 3) -1/128))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 1/128))) (PI.f64)))) (/.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 2) (PI.f64))) (.f64 -4 (/.f64 (/.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 2) 0) 2) (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 3)) (PI.f64))))) (/.f64 (.f64 -1/2 (.f64 f (.f64 (pow.f64 (PI.f64) 2) 0))) (pow.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) 2))))
(fma.f64 1/4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64))))) (fma.f64 (.f64 -1/4 (.f64 f f)) (fma.f64 1/2 (.f64 (/.f64 (fma.f64 8 (/.f64 (fma.f64 1/2 (fma.f64 -1/4 (.f64 (pow.f64 (PI.f64) 3) -1/32) (.f64 (pow.f64 (PI.f64) 3) -1/384)) (.f64 (pow.f64 (PI.f64) 3) -1/128)) (PI.f64)) 0) (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 2)) (PI.f64)) (/.f64 0 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 3))) (/.f64 f (/.f64 (pow.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 2) 0))))
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(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) 2) -1) (pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))) -1))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 (sqrt.f64 (PI.f64)) 1/4)))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 1/4 (sqrt.f64 (PI.f64)))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (*.f64 1/4 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2) (.f64 (PI.f64) 1/4)) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 (cbrt.f64 (PI.f64)) 1/4)))
(/.f64 (.f64 1 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 1/4 (cbrt.f64 (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (*.f64 1/4 (cbrt.f64 (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (/.f64 1 (/.f64 (PI.f64) (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2) 1/4))) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 1 (neg.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) -4))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64)))) 1) (sqrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64)))) (.f64 1/2 (sqrt.f64 (PI.f64)))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(/.f64 (.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (*.f64 1/2 (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))) (sqrt.f64 (PI.f64))) (/.f64 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 1/2))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 4)))
(.f64 (/.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))) (sqrt.f64 (PI.f64))) (sqrt.f64 (.f64 4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64)))) (sqrt.f64 (.f64 (PI.f64) -1/4))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(.f64 (/.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))) (sqrt.f64 (.f64 (PI.f64) -1/4))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(/.f64 (sqrt.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))) (/.f64 (sqrt.f64 (.f64 (PI.f64) -1/4)) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))
(.f64 (/.f64 (/.f64 4 (PI.f64)) 1) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 (/.f64 4 (PI.f64)) -1) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 (/.f64 4 (PI.f64)) (/.f64 1 (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) (sqrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 (/.f64 4 (PI.f64)) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 2))) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 -1 (neg.f64 (PI.f64))) (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 4))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 -1 (.f64 (PI.f64) 1/4)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) 2)) 1) (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))))
(/.f64 (.f64 1 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))))) (pow.f64 (cbrt.f64 (/.f64 (.f64 1/4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) 2))
(/.f64 (cbrt.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))) 2))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) 2)) (cbrt.f64 (.f64 (PI.f64) 1/4))) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (.f64 1/4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2)) (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) (cbrt.f64 (*.f64 1/4 (PI.f64))))
(/.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (.f64 (cbrt.f64 (.f64 1/4 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))) 2)))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) 2)) (cbrt.f64 (PI.f64))) (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 4)))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (.f64 1/4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2))) (cbrt.f64 (.f64 4 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))) 2) (cbrt.f64 (PI.f64)))) (cbrt.f64 (.f64 4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) 2)) (cbrt.f64 (.f64 (PI.f64) -1/4))) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(.f64 (/.f64 1 (.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (/.f64 (.f64 1/4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 2))) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))) 2) (cbrt.f64 (.f64 (PI.f64) -1/4)))) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(pow.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) -1)
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))) 1)
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(pow.f64 (sqrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))) 2)
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(pow.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))) 3)
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(pow.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))) 3) 1/3)
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(sqrt.f64 (pow.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))) -2))
(sqrt.f64 (pow.f64 (/.f64 (.f64 1/4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) -2))
(fabs.f64 (.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 4 (PI.f64))) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64))) 3))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3) (pow.f64 (*.f64 (PI.f64) 1/4) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(exp.f64 (log.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(exp.f64 (-.f64 (log.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (log.f64 (*.f64 (PI.f64) 1/4))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) -1))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64)))) 1))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))
(log1p.f64 (expm1.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))))
(.f64 4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.07%	(log.f64 (neg.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64))))))
	0.38%	(.f64 f (.f64 1/4 (PI.f64)))
✓	0.61%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64))))))))
✓	1.54%	(exp.f64 (log.f64 (neg.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))))))

Compiler

Compiled 74 to 56 computations (24.3% saved)

series102.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
66.0ms	f	@	0	(log.f64 (neg.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64))))))
18.0ms	f	@	inf	(log.f64 (neg.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64))))))
17.0ms	f	@	-inf	(log.f64 (neg.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64))))))
0.0ms	f	@	-inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64))))))))
0.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64))))))))

rewrite158.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`associate-*r/`
1342×	`associate-*l/`
902×	`associate-/r*`
332×	`add-sqr-sqrt`
322×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	93
1	385	75
2	4284	75

Stop Event

1×	node limit

Counts

3 → 251

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1050×	`associate-/l*`
810×	`times-frac`
676×	`associate-l`
620×	`associate-r`
512×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	568	11099
1	1405	10385

Stop Event

1×	node limit

Counts

287 → 368

Calls

Call 1

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

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

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.39%	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.61%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) 3)))
✓	0.73%	(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3))
✓	1.14%	(pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)

Compiler

Compiled 89 to 69 computations (22.5% saved)

series17.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	f	@	0	(pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)
4.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) 3)))
2.0ms	f	@	inf	(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3))
1.0ms	f	@	0	(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3))
1.0ms	f	@	inf	(pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)

rewrite134.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1848×	`associate-*l/`
964×	`associate-/r*`
420×	`add-sqr-sqrt`
400×	`*-un-lft-identity`
398×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	107
1	457	89
2	5453	89

Stop Event

1×	node limit

Counts

3 → 156

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1184×	`associate-r`
992×	`associate-l`
852×	`associate-/l*`
730×	`times-frac`
600×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	543	13244
1	1542	10788

Stop Event

1×	node limit

Counts

192 → 288

Calls

Call 1

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

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

eval1.2s (5.4%)

Compiler: Compiled 47668 to 36905 computations (22.6% saved)

prune508.0ms (2.4%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	1751	20	1771
Fresh	10	4	14
Picked	1	0	1
Done	1	6	7
Total	1763	30	1793

Error

0.13%

Counts

1793 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	6.29%	(pow.f64 (cbrt.f64 (.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (/.f64 4 (PI.f64)))) 3)
	2.25%	(pow.f64 (cbrt.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (/.f64 4 (PI.f64)))) 3)
	2.06%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3) (PI.f64)) 1/4)
	4.72%	(/.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)) 1/4)
	98.29%	(/.f64 (/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (PI.f64)) -1/4)
✓	0.65%	(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)) 1/4)
▶	4.73%	(/.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (.f64 f 0) (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64)))) 1/4)
	5.21%	(/.f64 (log.f64 (.f64 f (.f64 1/4 (PI.f64)))) (/.f64 (cbrt.f64 (*.f64 1/4 (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)))
	3.14%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)))
	4.84%	(/.f64 1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (.f64 f (*.f64 1/4 (PI.f64))))))
▶	0.75%	(/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))))
	0.87%	(/.f64 1 (.f64 (/.f64 1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64)))
▶	4.93%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (.f64 3 (log.f64 (cbrt.f64 (.f64 f (.f64 1/4 (PI.f64))))))))
▶	4.85%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 1 (.f64 f (*.f64 1/4 (PI.f64)))) -1)))
✓	0.8%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
✓	5.89%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64))))))))
✓	1.74%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
✓	100%	(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
▶	4.85%	(.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (/.f64 4 (PI.f64)))
	4.82%	(.f64 4 (/.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (PI.f64)))
	4.78%	(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
	4.85%	(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (*.f64 3 (log.f64 (cbrt.f64 f)))) (PI.f64)))
	5.13%	(*.f64 4 (/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)))
	97.18%	(.f64 4 (/.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) (*.f64 f 1/4)) 1)) (PI.f64)))
✓	4.74%	(.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64)))
	5.17%	(.f64 4 (/.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 3)) (PI.f64)))
	4.87%	(.f64 4 (log.f64 (pow.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 1 (PI.f64)))))
	5.13%	(.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)) 3)))
	25.44%	(log.f64 (pow.f64 (.f64 f (.f64 1/4 (PI.f64))) (/.f64 4 (PI.f64))))
	21.35%	(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 4 (PI.f64))))

Compiler

Compiled 768 to 654 computations (14.8% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.38%	(/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))))
	0.39%	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.39%	(/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))
	0.49%	(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))

Compiler

Compiled 59 to 42 computations (28.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))
0.0ms	f	@	0	(/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))))
0.0ms	f	@	inf	(/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))
0.0ms	f	@	inf	(/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))))
0.0ms	f	@	-inf	(/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`associate-/l*`
814×	`associate-/r/`
534×	`distribute-lft-neg-in`
450×	`distribute-rgt-in`
404×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	74
1	328	74
2	4276	74

Stop Event

1×	node limit

Counts

2 → 119

Calls

Call 1

Inputs
(/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)))
(/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))))

Outputs

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(tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 1/4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) 2) (cbrt.f64 (/.f64 (*.f64 1/4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/4 (neg.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 -1/4 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1/4 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (/.f64 (PI.f64) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))) (*.f64 1/4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 1/4 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) (*.f64 1/4 (sqrt.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) 1)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))) (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))))) (#(struct:change 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((x expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 1/4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 1/4 (*.f64 f (PI.f64))))))))))))

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1346×	`associate-/r/`
714×	`associate-r`
648×	`*-commutative`
626×	`associate-l`
546×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	433	9069
1	1263	8227
2	5394	8081

Stop Event

1×	node limit

Counts

143 → 197

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(log.f64 (.f64 f (.f64 1/4 (PI.f64))))
	0.38%	(.f64 f (.f64 1/4 (PI.f64)))
✓	0.61%	(.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (/.f64 4 (PI.f64)))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

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

0.0ms

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

0.0ms

-inf

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

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1022×	`associate-*r/`
838×	`associate-*l/`
814×	`swap-sqr`
588×	`distribute-rgt-in`
560×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	267	33
2	3159	33

Stop Event

1×	node limit

Counts

1 → 119

Calls

Call 1

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

Outputs

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simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

918×	`associate-/l*`
782×	`distribute-lft-in`
758×	`distribute-rgt-in`
716×	`div-sub`
426×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	356	6203
1	928	5657
2	3710	5653

Stop Event

1×	node limit

Counts

131 → 185

Calls

Call 1

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

Outputs
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 f))) (log.f64 (*.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
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(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) -1/4)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64)))
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(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
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(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
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(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
(+.f64 (.f64 (/.f64 4 (PI.f64)) (.f64 (log.f64 f) 1)) (.f64 (/.f64 4 (PI.f64)) (.f64 (log.f64 (*.f64 1/4 (PI.f64))) 1)))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)))
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(.f64 4 (/.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (PI.f64)))
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localize52.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.38%	(.f64 f (.f64 1/4 (PI.f64)))
✓	0.42%	(/.f64 1 (.f64 f (.f64 1/4 (PI.f64))))
✓	0.46%	(log1p.f64 (+.f64 (/.f64 1 (.f64 f (.f64 1/4 (PI.f64)))) -1))
✓	0.61%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 1 (.f64 f (*.f64 1/4 (PI.f64)))) -1)))

Compiler

Compiled 72 to 56 computations (22.2% saved)

series38.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	f	@	-inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 1 (.f64 f (*.f64 1/4 (PI.f64)))) -1)))
13.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 1 (.f64 f (*.f64 1/4 (PI.f64)))) -1)))
9.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 1 (.f64 f (*.f64 1/4 (PI.f64)))) -1)))
0.0ms	f	@	0	(/.f64 1 (.f64 f (.f64 1/4 (PI.f64))))
0.0ms	f	@	0	(log1p.f64 (+.f64 (/.f64 1 (.f64 f (.f64 1/4 (PI.f64)))) -1))

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`associate-/r/`
804×	`associate-/l*`
528×	`distribute-rgt-in`
482×	`distribute-lft-in`
366×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	103
1	409	79
2	4772	79

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

Inputs

(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 1 (*.f64 f (*.f64 1/4 (PI.f64)))) -1)))

(log1p.f64 (+.f64 (/.f64 1 (*.f64 f (*.f64 1/4 (PI.f64)))) -1))

(/.f64 1 (*.f64 f (*.f64 1/4 (PI.f64))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) 0) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) -1) 0) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) -1)) (*.f64 (/.f64 4 (PI.f64)) (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) (/.f64 (*.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) (/.f64 (*.f64 (PI.f64) 1/4) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 2) (/.f64 (*.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) -1) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (-.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (/.f64 4 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0) (/.f64 4 (PI.f64))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) (sqrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 2) (cbrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 f) 0) (/.f64 4 (*.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 1 f)) (/.f64 4 (*.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 4 (*.f64 f (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (*.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 f (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 4 (*.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) -1))))) (#(struct:change #<rule 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pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 4 (*.f64 f (PI.f64)))))))))

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1506×	`associate-/r*`
1244×	`distribute-lft-in`
1164×	`distribute-rgt-in`
1068×	`*-commutative`
662×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4496
1	816	4132
2	3190	4124

Stop Event

1×	node limit

Counts

166 → 195

Calls

Call 1

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

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.38%	(.f64 f (.f64 1/4 (PI.f64)))
✓	0.39%	(.f64 3 (log.f64 (cbrt.f64 (.f64 f (*.f64 1/4 (PI.f64))))))
✓	0.61%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (.f64 3 (log.f64 (cbrt.f64 (.f64 f (.f64 1/4 (PI.f64))))))))
✓	1%	(cbrt.f64 (.f64 f (.f64 1/4 (PI.f64))))

Compiler

Compiled 78 to 60 computations (23.1% saved)

series5.0ms (0%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (.f64 3 (log.f64 (cbrt.f64 (.f64 f (.f64 1/4 (PI.f64))))))))
1.0ms	f	@	-inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (.f64 3 (log.f64 (cbrt.f64 (.f64 f (.f64 1/4 (PI.f64))))))))
1.0ms	f	@	0	(cbrt.f64 (.f64 f (.f64 1/4 (PI.f64))))
1.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (.f64 3 (log.f64 (cbrt.f64 (.f64 f (.f64 1/4 (PI.f64))))))))
0.0ms	f	@	-inf	(cbrt.f64 (.f64 f (.f64 1/4 (PI.f64))))

rewrite247.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1688×	`associate-*r/`
1264×	`associate-*l/`
840×	`associate-/r*`
372×	`add-sqr-sqrt`
354×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	97
1	420	71
2	4832	71

Stop Event

1×	node limit

Counts

3 → 201

Calls

Call 1

Inputs

(cbrt.f64 (*.f64 f (*.f64 1/4 (PI.f64))))

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

(*.f64 3 (log.f64 (cbrt.f64 (*.f64 f (*.f64 1/4 (PI.f64))))))

Outputs

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egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (PI.f64) (*.f64 f 1/4)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) 1))))))

simplify129.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

814×	`associate-/l*`
636×	`+-commutative`
596×	`times-frac`
494×	`distribute-lft-neg-in`
478×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	8431
1	1099	7919
2	5781	7887

Stop Event

1×	node limit

Counts

201 → 303

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1)
(.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 1)
(.f64 1 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1/6) (pow.f64 (.f64 (PI.f64) (*.f64 f 1/4)) 1/6))
(.f64 (cbrt.f64 (.f64 1/4 (PI.f64))) (cbrt.f64 f))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (cbrt.f64 f) (cbrt.f64 (.f64 1/4 (PI.f64))))
(.f64 (cbrt.f64 (.f64 f 1/4)) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 1/3) (pow.f64 (sqrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 1/3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (pow.f64 (.f64 f 1/4) 1/3) (cbrt.f64 (PI.f64)))
(/.f64 (cbrt.f64 f) (cbrt.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 f) 1) (cbrt.f64 (/.f64 4 (PI.f64))))
(/.f64 (*.f64 (cbrt.f64 f) (cbrt.f64 (PI.f64))) (cbrt.f64 4))
(/.f64 (*.f64 (cbrt.f64 f) (cbrt.f64 (neg.f64 (PI.f64)))) (cbrt.f64 -4))
(/.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 f)) (cbrt.f64 4))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (PI.f64))) (cbrt.f64 f)) (cbrt.f64 -4))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1/3)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 1)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3)
(pow.f64 (E.f64) (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2))
(log.f64 (exp.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(exp.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(+.f64 0 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))) 1)
(-.f64 0 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))) 1)
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 1/4 (PI.f64)))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1)
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (cbrt.f64 (.f64 1/4 (PI.f64))))
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (sqrt.f64 (/.f64 4 (PI.f64)))) (.f64 1/2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (sqrt.f64 (/.f64 4 (PI.f64)))) (neg.f64 (.f64 1/2 (sqrt.f64 (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2))))
(/.f64 (.f64 4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2))) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 (.f64 (/.f64 4 (PI.f64)) (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3))) (+.f64 0 (+.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2) (.f64 0 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 4) (PI.f64))
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 1 (PI.f64))) 1/4)
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) -4) (PI.f64))
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) -4) (neg.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 -1 (PI.f64))) 1/4)
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 0 (/.f64 16 (pow.f64 (PI.f64) 2)))) (/.f64 4 (PI.f64)))
(/.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (-.f64 0 (pow.f64 (/.f64 4 (PI.f64)) 3))) (+.f64 0 (+.f64 (/.f64 16 (pow.f64 (PI.f64) 2)) (/.f64 0 (PI.f64)))))
(/.f64 (.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (sqrt.f64 (/.f64 4 (PI.f64)))) 1) (*.f64 1/2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (sqrt.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 -1)) (*.f64 1/2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) 1) (cbrt.f64 (*.f64 1/4 (PI.f64))))
(/.f64 (.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) -1) (cbrt.f64 (*.f64 1/4 (PI.f64))))
(/.f64 (.f64 (/.f64 1 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1/4)
(/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (PI.f64))
(/.f64 (.f64 -4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (neg.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 -1 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1/4)
(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (cbrt.f64 (.f64 1/4 (PI.f64))))
(/.f64 (.f64 (/.f64 4 (sqrt.f64 (PI.f64))) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 4 (cbrt.f64 (pow.f64 (PI.f64) 2))) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (cbrt.f64 (PI.f64)))
(/.f64 (.f64 (-.f64 0 (/.f64 16 (pow.f64 (PI.f64) 2))) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 4 (PI.f64)))
(/.f64 (.f64 (-.f64 0 (pow.f64 (/.f64 4 (PI.f64)) 3)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (+.f64 0 (+.f64 (/.f64 16 (pow.f64 (PI.f64) 2)) (/.f64 0 (PI.f64)))))
(/.f64 (.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (/.f64 4 (PI.f64))) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 (.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3)) (/.f64 4 (PI.f64))) (+.f64 0 (+.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2) (.f64 0 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(/.f64 (.f64 1 (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (sqrt.f64 (/.f64 4 (PI.f64))))) (*.f64 1/2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 (sqrt.f64 -1) (.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (sqrt.f64 (/.f64 4 (PI.f64))))) (*.f64 1/2 (sqrt.f64 (PI.f64))))
(/.f64 (.f64 1 (.f64 4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))
(/.f64 (.f64 1 (.f64 4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 (PI.f64) 1))
(/.f64 (.f64 -1 (.f64 4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (neg.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (.f64 4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (sqrt.f64 (PI.f64)))
(/.f64 (.f64 (/.f64 1 (cbrt.f64 (pow.f64 (PI.f64) 2))) (.f64 4 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 1/4) (PI.f64))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 1/4) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64)) 1/4)
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64)) -1/4)
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 (PI.f64)) 1/4))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (.f64 1/4 (PI.f64))))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (neg.f64 (cbrt.f64 (.f64 1/4 (PI.f64)))))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (cbrt.f64 (pow.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 (PI.f64)) 1/4))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (neg.f64 (PI.f64))) 1/4)
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (neg.f64 (PI.f64))) -1/4)
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 1/4 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (*.f64 1/4 (cbrt.f64 (pow.f64 (PI.f64) 2)))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) -1/4) (PI.f64))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (neg.f64 (.f64 1/2 (sqrt.f64 (PI.f64))))) (.f64 1/2 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (neg.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2))))) (cbrt.f64 (.f64 1/4 (PI.f64))))
(pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1)
(pow.f64 (sqrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 2)
(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 3)
(pow.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 3) 1/3)
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 2))
(log.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 3))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 3)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(exp.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1))
(log1p.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) (/.f64 4 (PI.f64))) 1))
(+.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)))
(+.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 0)
(+.f64 0 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(+.f64 (log.f64 1/4) (+.f64 (log.f64 (PI.f64)) (log.f64 f)))
(+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 f 1/4)))
(+.f64 (log.f64 (PI.f64)) (+.f64 (log.f64 1/4) (log.f64 f)))
(+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))
(+.f64 (log.f64 (cbrt.f64 (.f64 f f))) (+.f64 (log.f64 (cbrt.f64 f)) (log.f64 (.f64 1/4 (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (log.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(+.f64 (log.f64 (*.f64 f 1/4)) (log.f64 (PI.f64)))
(+.f64 (log.f64 (.f64 1/2 (sqrt.f64 (PI.f64)))) (+.f64 (log.f64 (.f64 1/2 (sqrt.f64 (PI.f64)))) (log.f64 f)))
(+.f64 (log.f64 (sqrt.f64 f)) (+.f64 (log.f64 (sqrt.f64 f)) (log.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (log.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)))) (+.f64 (log.f64 (cbrt.f64 (.f64 1/4 (PI.f64)))) (log.f64 f)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (log.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(+.f64 (+.f64 0 (log.f64 (*.f64 f 1/4))) (log.f64 (PI.f64)))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2))) (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(+.f64 (+.f64 (log.f64 (.f64 1/4 (PI.f64))) (log.f64 (cbrt.f64 (.f64 f f)))) (log.f64 (cbrt.f64 f)))
(+.f64 (+.f64 (log.f64 (*.f64 1/4 (PI.f64))) (log.f64 (sqrt.f64 f))) (log.f64 (sqrt.f64 f)))
(+.f64 (+.f64 (log.f64 f) (log.f64 1/4)) (log.f64 (PI.f64)))
(+.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (log.f64 1/4))
(+.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/2 (sqrt.f64 (PI.f64))))) (log.f64 (.f64 1/2 (sqrt.f64 (PI.f64)))))
(+.f64 (+.f64 (log.f64 f) (log.f64 (cbrt.f64 (.f64 1/16 (pow.f64 (PI.f64) 2))))) (log.f64 (cbrt.f64 (.f64 1/4 (PI.f64)))))
(+.f64 (+.f64 (log.f64 (*.f64 f 1/4)) 0) (log.f64 (PI.f64)))
(+.f64 (+.f64 (log.f64 (*.f64 f 1/4)) (log.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)))) (log.f64 (cbrt.f64 (PI.f64))))
(+.f64 (+.f64 (log.f64 (*.f64 f 1/4)) (log.f64 (sqrt.f64 (PI.f64)))) (log.f64 (sqrt.f64 (PI.f64))))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) 0) (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (log.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1/6))) (log.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1/6)))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (log.f64 (cbrt.f64 f))) (log.f64 (cbrt.f64 (*.f64 1/4 (PI.f64)))))
(+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2))) (log.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 1)
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(-.f64 0 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(-.f64 (log.f64 (PI.f64)) (-.f64 (log.f64 4) (log.f64 f)))
(-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (neg.f64 (PI.f64))) (-.f64 (log.f64 -4) (log.f64 f)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 1)
(-.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (log.f64 4))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 1)
(-.f64 (+.f64 (log.f64 f) (log.f64 (neg.f64 (PI.f64)))) (log.f64 -4))
(-.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) 1)
(-.f64 (-.f64 0 (log.f64 f)) (log.f64 (*.f64 1/4 (PI.f64))))
(-.f64 (-.f64 0 (log.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (log.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(-.f64 (-.f64 0 (log.f64 (*.f64 f 1/4))) (log.f64 (PI.f64)))
(-.f64 (-.f64 0 (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2))) (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 1)
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) -1)
(/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3)) (+.f64 0 (+.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2) (.f64 0 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(/.f64 (.f64 1 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2))) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 (.f64 1 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3))) (+.f64 0 (+.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2) (.f64 0 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(/.f64 (.f64 -1 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2))) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 (.f64 -1 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3))) (+.f64 0 (+.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2) (.f64 0 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(/.f64 (.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) 1) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 (.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3)) 1) (+.f64 0 (+.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2) (.f64 0 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(/.f64 (.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) -1) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))
(/.f64 (.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3)) -1) (+.f64 0 (+.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2) (.f64 0 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) 1) (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) 3) (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) 3) (neg.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 3)
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))) -3)
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (sqrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (sqrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (sqrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (neg.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 3))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2)) (.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 3))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) (neg.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) -3) (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (neg.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) 3)
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) -1) (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (.f64 3 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (.f64 3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (.f64 -3 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (.f64 -3 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2))) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (.f64 -1 (sqrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (sqrt.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (.f64 -1 (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (neg.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (sqrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 (/.f64 (-.f64 0 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2))) (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 1)
(pow.f64 (sqrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3)
(pow.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3) 1/3)
(neg.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(sqrt.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2))
(log.f64 (.f64 (PI.f64) (.f64 f 1/4)))
(log.f64 (+.f64 1 (-.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)))
(cbrt.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) 3))
(expm1.f64 (log1p.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(exp.f64 (log.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 1))
(log1p.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1))

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

localize55.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.43%	(/.f64 (log.f64 f) (PI.f64))
✓	0.49%	(+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (.f64 f 0) (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64))))
✓	2.48%	(log.f64 (*.f64 1/4 (PI.f64)))

Compiler

Compiled 69 to 42 computations (39.1% saved)

series40.0ms (0.2%)

Counts

3 → 20

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	f	@	0	(+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (.f64 f 0) (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64))))
13.0ms	f	@	-inf	(+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (.f64 f 0) (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64))))
8.0ms	f	@	inf	(+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (.f64 f 0) (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64))))
0.0ms	f	@	-inf	(/.f64 (log.f64 f) (PI.f64))
0.0ms	f	@	0	(/.f64 (log.f64 f) (PI.f64))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1874×	`associate-/r*`
1326×	`associate-/l*`
328×	`add-sqr-sqrt`
322×	`*-un-lft-identity`
320×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	71
1	349	65
2	4590	65

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

Inputs
(log.f64 (*.f64 1/4 (PI.f64)))
(+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 (.f64 f 0) (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64))))
(/.f64 (log.f64 f) (PI.f64))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64)))) (-.f64 1 (/.f64 (log.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 f) (PI.f64)))) (-.f64 1 (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64)))) (/.f64 (pow.f64 (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64)) 2) (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 (log.f64 f) (PI.f64)) 2) (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 1/4 (PI.f64))) (PI.f64)))) 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simplify180.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1626×	`associate-/r/`
794×	`associate-+r+`
614×	`associate-+l+`
580×	`distribute-lft-neg-in`
534×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	411	9251
1	926	8563
2	3852	8385

Stop Event

1×	node limit

Counts

177 → 233

Calls

Call 1

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

eval864.0ms (4%)

Compiler: Compiled 33702 to 24454 computations (27.4% saved)

prune540.0ms (2.5%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1404	16	1420
Fresh	13	6	19
Picked	1	0	1
Done	4	6	10
Total	1422	28	1450

Error

0.13%

Counts

1450 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	6.29%	(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 3)
	2.25%	(pow.f64 (cbrt.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (.f64 1/4 (*.f64 f (PI.f64))))))) 3)
	2.06%	(/.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3) (PI.f64)) 1/4)
	98.29%	(/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f 1/4))) (PI.f64)) -1/4)
✓	0.65%	(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)) 1/4)
	4.73%	(/.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (PI.f64))) 1/4)
	3.14%	(/.f64 (log.f64 (tanh.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/4)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/4)) 2)))
	4.84%	(/.f64 4 (/.f64 (PI.f64) (log.f64 (/.f64 f (/.f64 4 (PI.f64))))))
✓	0.75%	(/.f64 1 (/.f64 1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))))
	0.87%	(/.f64 1 (.f64 (/.f64 1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64)))
	4.77%	(.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
	4.93%	(.f64 (/.f64 4 (PI.f64)) (.f64 3 (log.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 f 4))))))
	4.91%	(.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) (/.f64 4 (PI.f64)))
	4.84%	(.f64 (+.f64 (log.f64 (.f64 f 1/4)) (log.f64 (PI.f64))) (/.f64 4 (PI.f64)))
	4.84%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (.f64 3 (log.f64 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1/3)))))
	5.24%	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 (/.f64 4 f) (PI.f64)) -1)))
	4.85%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (-.f64 (+.f64 1 (/.f64 4 (.f64 f (PI.f64)))) 1) -1)))
✓	0.8%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
✓	1.74%	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
	97.18%	(.f64 (log1p.f64 (-.f64 (.f64 (PI.f64) (*.f64 f 1/4)) 1)) (/.f64 4 (PI.f64)))
✓	100%	(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
✓	4.85%	(.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (/.f64 4 (PI.f64)))
	5.26%	(.f64 (cbrt.f64 (pow.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) 3)) (/.f64 4 (PI.f64)))
	4.87%	(.f64 4 (log.f64 (pow.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (/.f64 1 (PI.f64)))))
	5.13%	(.f64 4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (PI.f64)) 3)))
	5.13%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
	25.44%	(log.f64 (pow.f64 (/.f64 f (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))))
	21.35%	(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 4 (PI.f64))))

Compiler

Compiled 389 to 333 computations (14.4% saved)

regimes150.0ms (0.7%)

Counts

74 → 1

Calls

Call 1

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

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

Calls

6 calls:

56.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
31.0ms	f
9.0ms	(/.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)))))
9.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
8.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Error	Segments	Branch
0.65%	1	`f`
0.65%	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))))))))`
0.65%	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)))))))`
0.65%	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))))))`
0.65%	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)))))`
0.65%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1415 to 1089 computations (23% saved)

regimes87.0ms (0.4%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

1 calls:

79.0ms

Results

Error	Segments	Branch
4.72%	1	`f`

Compiler

Compiled 299 to 223 computations (25.4% saved)

regimes19.0ms (0.1%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
4.74%	1	`f`

Compiler

Compiled 288 to 216 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total -60.7b remaining (-1850%)

Threshold costs -60.7b (-1850%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
5.13%	1	`f`

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	159
1	43	159

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)) 1/4)
(/.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 4) (PI.f64))
(.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))

Outputs
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64)) 1/4)
(/.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) 4) (PI.f64))
(/.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/4))) 4) (PI.f64))
(.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 1/4 (PI.f64)))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(*.f64 (log1p.f64 -2) (/.f64 -4 (PI.f64)))

Compiler

Compiled 53 to 45 computations (15.1% saved)

soundness168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1356×	`associate-+r+`
1096×	`fma-def`
1034×	`associate-+l+`
856×	`+-commutative`
650×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	52	121
2	130	117
3	326	109
4	1011	109
5	2615	109
6	5937	109

Stop Event

1×	node limit

Compiler

Compiled 223 to 167 computations (25.1% saved)

end37.0ms (0.2%)

Compiler: Compiled 49 to 37 computations (24.5% saved)