Details

analyze333.0ms (1.6%)

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)

sample9.3s (43.8%)

Results

3.1s	4031×	body	1024	valid
3.0s	4034×	body	1024	invalid
972.0ms	1993×	body	512	valid
865.0ms	1960×	body	512	invalid
738.0ms	523×	body	2048	valid
409.0ms	1709×	body	256	valid
209.0ms	998×	body	256	invalid
2.0ms	2×	body	2048	invalid
1.0ms	6×	body	256	unsamplable

Bogosity

preprocess70.0ms (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)

simplify61.0ms (0.3%)

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

61.2b

Counts

9 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.2b	(.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)))))))
▶	61.2b	(.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

▶

61.2b

(*.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)))))))

▶

61.2b

(*.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
✓	0.1b	(.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)))
✓	0.3b	(*.f64 (PI.f64) f)
✓	1.0b	(/.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)))))
✓	5.0b	(-.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)

series70.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
34.0ms	f	@	inf	(.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)))
29.0ms	f	@	-inf	(.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)))
3.0ms	f	@	0	(.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)))
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)))))
1.0ms	f	@	0	(-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f))))

rewrite159.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`associate-/l*`
1186×	`associate-/r/`
426×	`add-sqr-sqrt`
414×	`pow1`
414×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	252
1	431	252
2	5730	252

Stop Event

1×	node limit

Counts

4 → 242

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)
(.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)))

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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simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

312×	`*-commutative`
146×	`+-commutative`
142×	`associate-*l/`
118×	`sqr-pow`
82×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	687	4904
1	2667	4904

Stop Event

1×

unsound

Counts

290 → 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))
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(/.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 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64)))
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(/.f64 (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)))) (*.f64 (PI.f64) -1/4))
(/.f64 -4 (/.f64 (PI.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))))))
(/.f64 1 (/.f64 (PI.f64) (*.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)))) -4)))
(/.f64 1 (/.f64 (*.f64 (PI.f64) -1/4) (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))))))
(/.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))))) (/.f64 (*.f64 (PI.f64) -1/4) (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)))))))
(/.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))))) (/.f64 (PI.f64) (*.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))))) -4)))
(/.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))))) (/.f64 (*.f64 (PI.f64) -1/4) (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))))) 2)))
(/.f64 (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))))) 2) (/.f64 (*.f64 (PI.f64) -1/4) (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)))))))
(/.f64 (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))))) 2) (/.f64 (PI.f64) (*.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))))) -4)))
(/.f64 (*.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)))) -4) (PI.f64))
(/.f64 (sqrt.f64 (.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)))) -4)) (/.f64 (PI.f64) (sqrt.f64 (.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)))) -4))))
(/.f64 (.f64 (cbrt.f64 (.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)))) -4)) (cbrt.f64 (.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)))) -4))) (/.f64 (PI.f64) (cbrt.f64 (.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)))) -4))))
(/.f64 (*.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)))) 4) (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (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))))) (neg.f64 (PI.f64)))
(/.f64 (/.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)))) -1/4) (PI.f64))
(/.f64 (/.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)))) (/.f64 (sqrt.f64 (PI.f64)) -4)) (sqrt.f64 (PI.f64)))
(/.f64 (/.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)))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) -4)) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.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)))) -4)) (neg.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64)))) 2))
(log.f64 (pow.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))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.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))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64)))) 3))
(cbrt.f64 (*.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) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (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 (pow.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))) (/.f64 -4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.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))) (/.f64 -4 (PI.f64))) 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)))
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(*.f64 (/.f64 -2 (PI.f64)) -2)
(/.f64 (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))))) 2) (/.f64 (PI.f64) (*.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))))) -4)))
(*.f64 (/.f64 -2 (PI.f64)) -2)
(/.f64 (*.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)))) -4) (PI.f64))
(/.f64 -2 (PI.f64))
(/.f64 (sqrt.f64 (.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)))) -4)) (/.f64 (PI.f64) (sqrt.f64 (.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)))) -4))))
(*.f64 (/.f64 (sqrt.f64 -2) (PI.f64)) (sqrt.f64 -2))
(/.f64 (.f64 (cbrt.f64 (.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)))) -4)) (cbrt.f64 (.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)))) -4))) (/.f64 (PI.f64) (cbrt.f64 (.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)))) -4))))
(*.f64 (/.f64 -2 (PI.f64)) -2)
(/.f64 (*.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)))) 4) (neg.f64 (PI.f64)))
(/.f64 -2 (neg.f64 (PI.f64)))
(/.f64 (*.f64 4 (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))))) (neg.f64 (PI.f64)))
(/.f64 -2 (neg.f64 (PI.f64)))
(/.f64 (/.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)))) -1/4) (PI.f64))
(/.f64 -2 (PI.f64))
(/.f64 (/.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)))) (/.f64 (sqrt.f64 (PI.f64)) -4)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 -2 (sqrt.f64 (PI.f64))) -4) (sqrt.f64 (PI.f64)))
(/.f64 (/.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)))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) -4)) (cbrt.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 -2 (pow.f64 (cbrt.f64 (PI.f64)) -2)) -4) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.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)))) -4)) (neg.f64 (PI.f64)))
(/.f64 -2 (neg.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64)))) 1)
(*.f64 (/.f64 -4 (PI.f64)) -2)
(pow.f64 (sqrt.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64))))) 2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
(pow.f64 (cbrt.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64))))) 3)
(*.f64 (/.f64 -4 (PI.f64)) -2)
(pow.f64 (pow.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64)))) 3) 1/3)
(*.f64 (/.f64 -4 (PI.f64)) -2)
(sqrt.f64 (pow.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64)))) 2))
(sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2))
(log.f64 (pow.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))) (/.f64 -4 (PI.f64))))
(*.f64 (/.f64 -4 (PI.f64)) -2)
(log.f64 (+.f64 1 (-.f64 (pow.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))) (/.f64 -4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 -2 (/.f64 -4 (PI.f64))) -2))
(cbrt.f64 (pow.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64)))) 3))
(*.f64 (/.f64 -4 (PI.f64)) -2)
(cbrt.f64 (*.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) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(cbrt.f64 (*.f64 -2 (/.f64 -64 (pow.f64 (PI.f64) -2))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (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)))
(cbrt.f64 (*.f64 -2 (/.f64 -64 (pow.f64 (PI.f64) -2))))
(expm1.f64 (log1p.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64))))))
(*.f64 (/.f64 -4 (PI.f64)) -2)
(exp.f64 (log.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64))))))
(*.f64 (/.f64 -4 (PI.f64)) -2)
(exp.f64 (*.f64 (log.f64 (log.f64 (pow.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))) (/.f64 -4 (PI.f64))))) 1))
(*.f64 (/.f64 -4 (PI.f64)) -2)
(log1p.f64 (-.f64 (pow.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))) (/.f64 -4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 -2 (/.f64 -4 (PI.f64))) -2))

localize110.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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)))))))
✓	0.3b	(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))
✓	1.0b	(/.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)))))
✓	5.0b	(-.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)

series37.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	f	@	0	(/.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)))))
8.0ms	f	@	-inf	(.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)))))))
7.0ms	f	@	inf	(.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)))))))
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	(.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)))))))

rewrite125.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`associate-/l*`
446×	`add-sqr-sqrt`
436×	`*-un-lft-identity`
434×	`pow1`
420×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	288
1	452	106
2	6223	106

Stop Event

1×	node limit

Counts

4 → 226

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))
(.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)))))))

Outputs
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simplify205.0ms (1%)

Algorithm

1×	egg-herbie

Rules

912×	`associate-r`
644×	`+-commutative`
628×	`associate-l`
566×	`associate-/l*`
560×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	621	13748
1	1727	10664
2	7867	10664

Stop Event

1×	node limit

Counts

274 → 377

Calls

Call 1

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

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

eval728.0ms (3.4%)

Compiler: Compiled 38735 to 24997 computations (35.5% saved)

prune455.0ms (2.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	833	15	848
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	835	15	850

Error

0.5b

Counts

850 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
▶	0.8b	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) -1) (.f64 (PI.f64) 1/4))
▶	0.9b	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
▶	55.3b	(/.f64 -2 (PI.f64))
	1.6b	(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))) 1)
▶	43.8b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 3) 1/3)))
	0.9b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) 3)))
	1.7b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (exp.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)))))))))
	1.1b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (exp.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)))))))))
▶	2.9b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
	2.0b	(.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)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))))
	1.9b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (.f64 (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 1) (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))
	45.4b	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
	0.9b	(.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
	2.8b	(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))

Compiler

Compiled 582 to 506 computations (13.1% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))
✓	0.0b	(tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))
✓	0.3b	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.3b	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) -1) (.f64 (PI.f64) 1/4))

Compiler

Compiled 61 to 45 computations (26.2% saved)

series72.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
44.0ms	f	@	-inf	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) -1) (.f64 (PI.f64) 1/4))
19.0ms	f	@	inf	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) -1) (.f64 (PI.f64) 1/4))
5.0ms	f	@	0	(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) -1) (.f64 (PI.f64) 1/4))
1.0ms	f	@	0	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))
1.0ms	f	@	0	(tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1088×	`swap-sqr`
502×	`distribute-lft-neg-in`
468×	`distribute-rgt-neg-in`
438×	`distribute-rgt-in`
432×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	98
1	348	94
2	4754	94

Stop Event

1×	node limit

Counts

4 → 279

Calls

Call 1

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

Outputs
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simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1202×	`associate-r`
1026×	`associate-l`
860×	`*-commutative`
726×	`associate-/l*`
626×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	742	16983
1	2192	15269

Stop Event

1×	node limit

Counts

327 → 457

Calls

Call 1

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

localize4.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f))
✓	0.4b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
✓	0.5b	(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)

Compiler

Compiled 59 to 46 computations (22% saved)

series33.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	f	@	-inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
11.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
9.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
0.0ms	f	@	inf	(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)
0.0ms	f	@	0	(/.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)) f)

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`associate-/r/`
1210×	`associate-/l/`
418×	`distribute-lft-in`
368×	`add-sqr-sqrt`
352×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	91
1	382	67
2	4882	67

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

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

Outputs

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(/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) f))))) (#(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 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (*.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 4 (*.f64 (sqrt.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (*.f64 (cbrt.f64 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 f) (/.f64 2 (PI.f64)))))) 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simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1062×	`associate-/l/`
812×	`associate-+r+`
766×	`associate-+l+`
632×	`+-commutative`
620×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	424	6093
1	1114	5521
2	4355	5521

Stop Event

1×	node limit

Counts

213 → 265

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))
✓	0.2b	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
	0.3b	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.3b	(/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))

Compiler

Compiled 63 to 46 computations (27% saved)

series7.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	f	@	0	(/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
1.0ms	f	@	inf	(/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
1.0ms	f	@	-inf	(/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
1.0ms	f	@	0	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
0.0ms	f	@	inf	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))

rewrite111.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`associate-/l*`
860×	`associate-/r/`
498×	`distribute-rgt-in`
444×	`distribute-lft-in`
352×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	348	74
2	4683	74

Stop Event

1×	node limit

Counts

2 → 232

Calls

Call 1

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

Outputs

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simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1042×	`*-commutative`
970×	`associate-r`
848×	`associate-/l*`
804×	`associate-l`
754×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	664	14788
1	2017	13136

Stop Event

1×	node limit

Counts

256 → 337

Calls

Call 1

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

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.3b	(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))
✓	0.4b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 3) 1/3)))
✓	42.0b	(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3) 1/3)

Compiler

Compiled 99 to 79 computations (20.2% saved)

series65.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 3) 1/3)))
19.0ms	f	@	-inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 3) 1/3)))
9.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 3) 1/3)))
8.0ms	f	@	0	(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3) 1/3)
3.0ms	f	@	inf	(pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 3) 1/3)

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1452×	`associate-/r*`
606×	`associate-/l*`
444×	`add-sqr-sqrt`
422×	`add-exp-log`
422×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	99
1	493	91
2	5727	91

Stop Event

1×	node limit

Counts

3 → 190

Calls

Call 1

Inputs

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

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

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

Outputs

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(*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sinh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1/4 f)))) (+.f64 1 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) (*.f64 1/4 f))))) (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) -1) (pow.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 2) -1) (pow.f64 (cbrt.f64 (tanh.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -1/2) (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 1/4 f)))) (expm1.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1/4 f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) (*.f64 1/4 f)))) (-.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 (expm1.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1/4 f))) (sqrt.f64 (+.f64 1 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -1/2)) (/.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 (*.f64 2 (sinh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (sqrt.f64 (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cbrt.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -1/2) (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (pow.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -2)) (/.f64 1 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 -1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sinh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 2 (cosh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (expm1.f64 (*.f64 (*.f64 2 (PI.f64)) (*.f64 1/4 f)))) (+.f64 1 (pow.f64 (exp.f64 2) (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) (*.f64 1/4 f))))) (+.f64 1 (pow.f64 (exp.f64 -2) (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) -1) (pow.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 2) -1) (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -2) 1/3) (/.f64 1 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -3/2) 1/3) (pow.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -3) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (neg.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(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 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.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 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))))

simplify220.0ms (1%)

Algorithm

1×	egg-herbie

Rules

940×	`associate-/r*`
906×	`associate-r`
836×	`times-frac`
790×	`associate-/l*`
708×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	691	23022
1	1973	19146

Stop Event

1×	node limit

Counts

226 → 318

Calls

Call 1

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

Outputs
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 64) f) (PI.f64))
(+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 -128 (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 4))) (.f64 -256 (/.f64 (+.f64 (.f64 -1/16 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))) (pow.f64 (PI.f64) 4)))) (pow.f64 (/.f64 (.f64 1 (pow.f64 (PI.f64) 2)) (pow.f64 (cbrt.f64 64) 2)) 1/3))) (/.f64 (cbrt.f64 64) (.f64 f (PI.f64))))
(fma.f64 1/3 (.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 0) (pow.f64 (PI.f64) 4)) -384) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 64) 2)))) (/.f64 (cbrt.f64 64) (.f64 f (PI.f64))))
(fma.f64 1/3 (*.f64 (/.f64 0 (pow.f64 (PI.f64) 4)) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 64) 2)))) (/.f64 (/.f64 (cbrt.f64 64) f) (PI.f64)))
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(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))) 1)
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(.f64 1 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 1)
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -1/2) (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) -1/2))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) -2)))
(.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -2)) (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (pow.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) -2) 1/3))
(.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -2)) (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -2)) (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -2)) (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(.f64 -1 (/.f64 -1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(.f64 (/.f64 1/2 (sinh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))
(/.f64 (.f64 1/2 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(/.f64 (cosh.f64 (.f64 (PI.f64) (.f64 f 1/4))) (sinh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 2 (PI.f64)) (.f64 1/4 f)))) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 1/4 f)))))
(.f64 (/.f64 1 (expm1.f64 (.f64 (.f64 f 1/4) (.f64 (PI.f64) 2)))) (+.f64 1 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4)))) (expm1.f64 (.f64 f (.f64 (PI.f64) 1/2))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 1/4 f))))) (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (*.f64 1/4 f)))))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4))))) (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4)))) (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 (PI.f64) (.f64 f 1/4)))))
(.f64 (pow.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) -1) (pow.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) -1))
(pow.f64 (sqrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) -2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 2) -1) (pow.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) -1))
(.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 1 (pow.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 2)))
(.f64 (pow.f64 1 1/3) (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(.f64 (pow.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -2) 1/3) (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) -2)))
(/.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -2)) (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
(.f64 (pow.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -3/2) 1/3) (pow.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) -3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -3/2)) (cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))) -3/2)))
(pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -1)
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(pow.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -3) 1/3)
(cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -3))
(pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) 1)
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(pow.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -1/2) 2)
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(pow.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 3)
(/.f64 1 (pow.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3))
(pow.f64 (pow.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -3) 2) 1/6)
(pow.f64 (pow.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -3) 2) 1/6)
(pow.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -6) 1/6)
(pow.f64 (exp.f64 1/3) (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -3)))
(pow.f64 (exp.f64 1/3) (.f64 -3 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(pow.f64 (E.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(pow.f64 (E.f64) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(pow.f64 (exp.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)))))))
(pow.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))) (sqrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.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)))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) 2))) (cbrt.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(sqrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -2))
(sqrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -2))
(log.f64 (exp.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) -3))
(cbrt.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(exp.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(exp.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) -1))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(log1p.f64 (expm1.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))))
(/.f64 1 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))

eval1.2s (5.6%)

Compiler: Compiled 52018 to 41236 computations (20.7% saved)

prune445.0ms (2.1%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1573	26	1599
Fresh	8	2	10
Picked	1	0	1
Done	3	1	4
Total	1585	29	1614

Error

0.4b

Counts

1614 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
	59.9b	(/.f64 (.f64 (neg.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 f (.f64 1/4 (PI.f64)))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 f (.f64 1/4 (PI.f64))))))) -1) (.f64 (PI.f64) 1/4))
	2.9b	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) -4))
	2.9b	(/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
▶	2.9b	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64))))))))
	2.0b	(/.f64 -1 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)))))
	0.9b	(/.f64 -1 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
✓	55.3b	(/.f64 -2 (PI.f64))
	1.6b	(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))) 1)
	3.7b	(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))) 1)
	1.7b	(.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 4 (PI.f64))))
▶	0.8b	(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) 4)
	1.0b	(.f64 (/.f64 4 (PI.f64)) (.f64 3 (log.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
	62.9b	(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
	0.9b	(.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
	3.0b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 3 (log.f64 (cbrt.f64 f)))))
	2.9b	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
▶	3.0b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))))
	3.6b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 1))
	2.9b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
	2.9b	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) -1)))
▶	45.8b	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)))
	1.9b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4)))) (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
	3.7b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
	3.7b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
	2.8b	(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/4))) (PI.f64)))
	2.9b	(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	11.9b	(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 4 (PI.f64))))
	1.1b	(cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))

Compiler

Compiled 920 to 792 computations (13.9% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))
	0.0b	(tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))
	0.3b	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.3b	(/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (PI.f64))

Compiler

Compiled 46 to 32 computations (30.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite67.0ms (0.3%)

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	31
1	257	31
2	3341	31

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

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))) 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simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

914×	`*-commutative`
834×	`associate-*r/`
806×	`distribute-lft-in`
736×	`associate-/l*`
716×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	2848
1	635	2428
2	2586	2246

Stop Event

1×	node limit

Counts

54 → 72

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)

Compiler

Compiled 26 to 22 computations (15.4% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`*-commutative`
640×	`associate-*r/`
608×	`unswap-sqr`
552×	`swap-sqr`
464×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	234	15
2	2710	9

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (log1p.f64 (PI.f64))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (PI.f64) 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simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1414×	`distribute-lft-in`
790×	`associate-+l+`
648×	`associate-*r/`
636×	`associate-+r+`
534×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	1984
1	436	1486
2	1248	1456
3	4165	1456

Stop Event

1×	node limit

Counts

66 → 93

Calls

Call 1

Inputs
(+.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) 1)
(-.f64 (/.f64 (exp.f64 (log1p.f64 (PI.f64))) 8) 1/8)
(*.f64 (PI.f64) 1/8)
(.f64 (.f64 (PI.f64) 1/8) 1)
(.f64 1 (.f64 (PI.f64) 1/8))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)))
(.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)))
(*.f64 1/8 (PI.f64))
(.f64 -1/2 (.f64 (PI.f64) -1/4))
(*.f64 -1/2 (pow.f64 (/.f64 -4 (PI.f64)) -1))
(*.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -1) (pow.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) 2) -1))
(*.f64 (pow.f64 (/.f64 -4 (PI.f64)) -1) -1/2)
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) 2) -1) (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 -4 (PI.f64))) -2) (pow.f64 (sqrt.f64 -2) -2))
(*.f64 (pow.f64 (sqrt.f64 -2) -2) (pow.f64 (sqrt.f64 (/.f64 -4 (PI.f64))) -2))
(*.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))) -2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))) -2) (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -2))
(*.f64 -1/8 (neg.f64 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 8 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (/.f64 1 (/.f64 8 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)))) (.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))
(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)))) (.f64 (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2)) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8))) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2)))
(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2)) (*.f64 (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1)) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8))) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (.f64 (PI.f64) 1/8))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (*.f64 (PI.f64) 1/8))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)))) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2)) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 3/2))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/8) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) 1/6))
(/.f64 (PI.f64) 8)
(/.f64 (*.f64 (PI.f64) 1/8) 1)
(/.f64 1 (/.f64 8 (PI.f64)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (/.f64 8 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 8 (sqrt.f64 (PI.f64))))
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 8 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 8 (cbrt.f64 (PI.f64))))
(/.f64 (*.f64 (PI.f64) -1/4) -2)
(/.f64 1/8 (/.f64 1 (PI.f64)))
(/.f64 -1/2 (/.f64 -4 (PI.f64)))
(/.f64 -1/4 (/.f64 -2 (PI.f64)))
(/.f64 (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4)) (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (pow.f64 (/.f64 8 (PI.f64)) 1/4)))
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 -4 (PI.f64)))) (/.f64 -4 (sqrt.f64 (neg.f64 (PI.f64)))))
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 -4 (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (sqrt.f64 -2)))
(/.f64 (/.f64 1 (/.f64 2 (cbrt.f64 (PI.f64)))) (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) 2))
(/.f64 (/.f64 1 (/.f64 2 (cbrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64))))))
(/.f64 (/.f64 1 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) 2)) (/.f64 2 (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 1 (cbrt.f64 (.f64 16 (pow.f64 (PI.f64) -2)))) (/.f64 -2 (cbrt.f64 (.f64 (PI.f64) -1/4))))
(/.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (pow.f64 (/.f64 8 (PI.f64)) 1/4))) (pow.f64 (/.f64 8 (PI.f64)) 1/4))
(/.f64 (/.f64 1 (/.f64 -4 (sqrt.f64 (neg.f64 (PI.f64))))) (sqrt.f64 (/.f64 -4 (PI.f64))))
(/.f64 (/.f64 1 (.f64 -2 (cbrt.f64 (.f64 16 (pow.f64 (PI.f64) -2))))) (cbrt.f64 (/.f64 -4 (PI.f64))))
(/.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (sqrt.f64 (/.f64 -4 (PI.f64))))) (sqrt.f64 -2))
(/.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (/.f64 2 (cbrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/8))) (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/8)))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/8))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/8))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/8))) (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/8)))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) 1/8))) 1))))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 2))
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/8)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/8))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/8)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/8)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/8)))

Outputs
(+.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) -1)
(*.f64 (PI.f64) 1/8)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) 1)
(*.f64 (PI.f64) 1/8)
(-.f64 (/.f64 (exp.f64 (log1p.f64 (PI.f64))) 8) 1/8)
(+.f64 (/.f64 (exp.f64 (log1p.f64 (PI.f64))) 8) -1/8)
(*.f64 (PI.f64) 1/8)
(.f64 (.f64 (PI.f64) 1/8) 1)
(*.f64 (PI.f64) 1/8)
(.f64 1 (.f64 (PI.f64) 1/8))
(*.f64 (PI.f64) 1/8)
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)))
(*.f64 (PI.f64) 1/8)
(.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2))
(*.f64 (PI.f64) 1/8)
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)))
(*.f64 (PI.f64) 1/8)
(*.f64 1/8 (PI.f64))
(*.f64 (PI.f64) 1/8)
(.f64 -1/2 (.f64 (PI.f64) -1/4))
(*.f64 (PI.f64) 1/8)
(*.f64 -1/2 (pow.f64 (/.f64 -4 (PI.f64)) -1))
(*.f64 (PI.f64) 1/8)
(*.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -1) (pow.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) 2) -1))
(*.f64 (PI.f64) 1/8)
(*.f64 (pow.f64 (/.f64 -4 (PI.f64)) -1) -1/2)
(*.f64 (PI.f64) 1/8)
(*.f64 (pow.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) 2) -1) (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -1))
(*.f64 (PI.f64) 1/8)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 -4 (PI.f64))) -2) (pow.f64 (sqrt.f64 -2) -2))
(*.f64 (pow.f64 (sqrt.f64 -2) -2) (pow.f64 (sqrt.f64 (/.f64 -4 (PI.f64))) -2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 -4 (PI.f64))) -2) (pow.f64 (sqrt.f64 -2) -2))
(*.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))) -2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/4) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))) -2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))) -2) (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -2))
(*.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))) -2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1/4) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))) -2))
(*.f64 -1/8 (neg.f64 (PI.f64)))
(*.f64 (PI.f64) 1/8)
(*.f64 (/.f64 1 (/.f64 8 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (PI.f64) 1/8)
(*.f64 (/.f64 1 (/.f64 8 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (PI.f64) 1/8)
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)))) (.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)) (/.f64 1 (sqrt.f64 (/.f64 8 (PI.f64)))))
(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)))) (.f64 (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (.f64 (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4)) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8))) (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -2))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2)) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8))) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)))) (.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)) (/.f64 1 (sqrt.f64 (/.f64 8 (PI.f64)))))
(.f64 (.f64 (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2)) (*.f64 (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2)))
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(*.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -2))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (pow.f64 (/.f64 8 (PI.f64)) 1/2)))
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(.f64 (sqrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (.f64 (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4)) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8))) (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -2))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (pow.f64 (/.f64 8 (PI.f64)) 1/2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (.f64 (PI.f64) 1/8))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (*.f64 (PI.f64) 1/8))))
(*.f64 (PI.f64) 1/8)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))
(.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)))) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)))))
(*.f64 (PI.f64) 1/8)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2)) (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 3/2))
(*.f64 (PI.f64) 1/8)
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) 1/8) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) 1/6))
(*.f64 (PI.f64) 1/8)
(/.f64 (PI.f64) 8)
(*.f64 (PI.f64) 1/8)
(/.f64 (*.f64 (PI.f64) 1/8) 1)
(*.f64 (PI.f64) 1/8)
(/.f64 1 (/.f64 8 (PI.f64)))
(*.f64 (PI.f64) 1/8)
(/.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (/.f64 8 (PI.f64))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 8 (sqrt.f64 (PI.f64))))
(*.f64 (PI.f64) 1/8)
(/.f64 (cbrt.f64 (PI.f64)) (/.f64 8 (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(*.f64 (PI.f64) 1/8)
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 8 (cbrt.f64 (PI.f64))))
(*.f64 (PI.f64) 1/8)
(/.f64 (*.f64 (PI.f64) -1/4) -2)
(*.f64 (PI.f64) 1/8)
(/.f64 1/8 (/.f64 1 (PI.f64)))
(*.f64 (PI.f64) 1/8)
(/.f64 -1/2 (/.f64 -4 (PI.f64)))
(*.f64 (PI.f64) 1/8)
(/.f64 -1/4 (/.f64 -2 (PI.f64)))
(*.f64 (PI.f64) 1/8)
(/.f64 (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4)) (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (pow.f64 (/.f64 8 (PI.f64)) 1/4)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1) (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -2))
(/.f64 1 (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (pow.f64 (/.f64 8 (PI.f64)) 1/2)))
(/.f64 (/.f64 1 (sqrt.f64 (/.f64 -4 (PI.f64)))) (/.f64 -4 (sqrt.f64 (neg.f64 (PI.f64)))))
(/.f64 1 (*.f64 (/.f64 -4 (sqrt.f64 (neg.f64 (PI.f64)))) (sqrt.f64 (/.f64 -4 (PI.f64)))))
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(*.f64 (PI.f64) 1/8)
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(*.f64 (PI.f64) 1/8)
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(*.f64 (PI.f64) 1/8)
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(sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 2))
(*.f64 (PI.f64) 1/8)
(log.f64 (exp.f64 (*.f64 (PI.f64) 1/8)))
(*.f64 (PI.f64) 1/8)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/8))))
(*.f64 (PI.f64) 1/8)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3))
(*.f64 (PI.f64) 1/8)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/8)))
(*.f64 (PI.f64) 1/8)
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/8)))
(*.f64 (PI.f64) 1/8)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/8)))
(*.f64 (PI.f64) 1/8)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (.f64 1/4 (PI.f64)))))
✓	0.2b	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64))))))))
✓	0.3b	(.f64 f (.f64 1/4 (PI.f64)))
✓	0.3b	(/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64)))))))

Compiler

Compiled 97 to 60 computations (38.1% saved)

series132.0ms (0.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
63.0ms	f	@	0	(/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64)))))))
12.0ms	f	@	-inf	(/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64)))))))
6.0ms	f	@	inf	(/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64)))))))
1.0ms	f	@	-inf	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64))))))))
1.0ms	f	@	inf	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64))))))))

rewrite126.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`associate-/l*`
936×	`associate-/r/`
656×	`distribute-lft-in`
360×	`add-sqr-sqrt`
350×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	132
1	412	100
2	4862	100

Stop Event

1×	node limit

Counts

4 → 427

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/4 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (.f64 1/4 f))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (.f64 1/4 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (.f64 -1 (/.f64 1/4 (log.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (PI.f64) (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 (PI.f64) (log.f64 (.f64 (PI.f64) (.f64 1/4 f)))))))) 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simplify195.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1414×	`associate-l`
1324×	`associate-/r/`
1120×	`*-commutative`
1120×	`associate-*r/`
1046×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	900	17221
1	2557	16583

Stop Event

1×	node limit

Counts

475 → 658

Calls

Call 1

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

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (.f64 (.f64 (PI.f64) 1/2) f))
✓	0.2b	(-.f64 (log.f64 2) (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
✓	0.3b	(.f64 (.f64 (PI.f64) 1/2) f)
✓	0.4b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))))

Compiler

Compiled 62 to 48 computations (22.6% saved)

series47.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))))
14.0ms	f	@	-inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))))
10.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))))
0.0ms	f	@	0	(-.f64 (log.f64 2) (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))
0.0ms	f	@	-inf	(-.f64 (log.f64 2) (log.f64 (.f64 (.f64 (PI.f64) 1/2) f)))

rewrite164.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`associate-*l/`
1056×	`associate-/r*`
388×	`add-sqr-sqrt`
372×	`*-un-lft-identity`
370×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	104
1	397	98
2	4937	86

Stop Event

1×	node limit

Counts

4 → 294

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 2 (.f64 (PI.f64) f)))) (/.f64 (log.f64 2) (.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 2) (/.f64 4 (PI.f64))) (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) (.f64 (log.f64 2) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) 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simplify155.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1396×	`times-frac`
900×	`associate-r`
820×	`associate-l`
784×	`associate-/r*`
692×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	707	20108
1	1889	18584

Stop Event

1×	node limit

Counts

342 → 482

Calls

Call 1

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

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3)
✓	0.4b	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)))
✓	0.6b	(/.f64 (/.f64 4 f) (PI.f64))
✓	42.1b	(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)

Compiler

Compiled 72 to 56 computations (22.2% saved)

series43.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	f	@	-inf	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)))
12.0ms	f	@	0	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)))
9.0ms	f	@	inf	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)))
3.0ms	f	@	-inf	(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)
2.0ms	f	@	0	(pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1280×	`associate-/l*`
786×	`associate-/r/`
486×	`associate-/l/`
436×	`distribute-lft-in`
374×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	90
1	422	84
2	4963	84

Stop Event

1×	node limit

Counts

4 → 352

Calls

Call 1

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

Outputs
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(pow.f64 (.f64 f (PI.f64)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 64 (pow.f64 (.f64 f (PI.f64)) 3))))))))

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1680×	`associate-/r*`
1470×	`associate-/l*`
1306×	`associate-r`
1180×	`associate-l`
948×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	748	12002
1	2210	11534

Stop Event

1×	node limit

Counts

400 → 435

Calls

Call 1

Inputs
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(/.f64 64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1)
(.f64 4 (.f64 (/.f64 1 f) (/.f64 1 (PI.f64))))
(.f64 4 (/.f64 1 (.f64 f (PI.f64))))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(.f64 (/.f64 4 (.f64 f (PI.f64))) 1)
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (/.f64 2 (sqrt.f64 (.f64 f (PI.f64)))) (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))))
(.f64 (/.f64 2 (sqrt.f64 f)) (.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 1 (PI.f64))))
(.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 2 (.f64 (PI.f64) (sqrt.f64 f))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))
(.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 16 (.f64 f f))) (*.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))
(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (neg.f64 (PI.f64))) (/.f64 -4 f))
(.f64 (/.f64 1 (.f64 f (PI.f64))) 4)
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(.f64 (/.f64 (cbrt.f64 (/.f64 16 (.f64 f f))) 1) (/.f64 (cbrt.f64 (/.f64 4 f)) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (/.f64 16 (.f64 f f))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (/.f64 4 f)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (/.f64 16 (.f64 f f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
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(.f64 (pow.f64 1 1/3) (/.f64 4 (.f64 f (PI.f64))))
(.f64 (pow.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 3/2) 1/3))
(.f64 (/.f64 (cbrt.f64 (/.f64 16 (.f64 f f))) (PI.f64)) (cbrt.f64 (/.f64 4 f)))
(.f64 (/.f64 1 (/.f64 (PI.f64) (cbrt.f64 (/.f64 16 (.f64 f f))))) (cbrt.f64 (/.f64 4 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) f) 4)
(*.f64 (/.f64 (/.f64 1 (PI.f64)) 1) (/.f64 4 f))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (sqrt.f64 f)) (/.f64 4 (sqrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (cbrt.f64 f)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) (neg.f64 f)) -4)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (/.f64 (PI.f64) (/.f64 1 f)))
(/.f64 4 (/.f64 (neg.f64 (PI.f64)) (/.f64 1 f)))
(/.f64 4 (/.f64 f (/.f64 1 (PI.f64))))
(/.f64 4 (/.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 1 f))))
(/.f64 4 (*.f64 (neg.f64 (PI.f64)) f))
(/.f64 4 (*.f64 (neg.f64 (PI.f64)) (neg.f64 (neg.f64 f))))
(/.f64 4 (*.f64 (neg.f64 (PI.f64)) (neg.f64 f)))
(/.f64 4 (*.f64 (PI.f64) (neg.f64 (neg.f64 f))))
(/.f64 (/.f64 4 f) (PI.f64))
(/.f64 (/.f64 4 f) (neg.f64 (PI.f64)))
(/.f64 (/.f64 4 f) (/.f64 (PI.f64) 1))
(/.f64 (/.f64 4 f) (/.f64 (neg.f64 (PI.f64)) 1))
(/.f64 1 (.f64 (PI.f64) (.f64 f 1/4)))
(/.f64 1 (/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 4 f))) (cbrt.f64 (/.f64 16 (*.f64 f f)))))
(/.f64 1 (/.f64 (*.f64 f 1/4) (/.f64 1 (PI.f64))))
(/.f64 1 (.f64 (neg.f64 (PI.f64)) (.f64 f 1/4)))
(/.f64 1 (.f64 f (.f64 (PI.f64) 1/4)))
(/.f64 1 (.f64 (.f64 (/.f64 (PI.f64) 2) (sqrt.f64 f)) (sqrt.f64 (*.f64 f 1/4))))
(/.f64 1 (.f64 (.f64 f 1/4) (/.f64 (PI.f64) 1)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 (/.f64 4 (PI.f64)) (/.f64 f 1))
(/.f64 (/.f64 4 (PI.f64)) (/.f64 f -1))
(/.f64 2 (/.f64 (*.f64 (/.f64 (PI.f64) 2) (sqrt.f64 f)) (sqrt.f64 (/.f64 1 f))))
(/.f64 2 (.f64 (.f64 (/.f64 (PI.f64) 2) (sqrt.f64 f)) (sqrt.f64 f)))
(/.f64 (/.f64 2 (sqrt.f64 f)) (*.f64 (/.f64 (PI.f64) 2) (sqrt.f64 f)))
(/.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 (neg.f64 (PI.f64)) (/.f64 2 (sqrt.f64 f))))
(/.f64 (/.f64 2 (sqrt.f64 f)) (/.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 2 (sqrt.f64 f)))))
(/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (/.f64 f (sqrt.f64 (/.f64 4 (PI.f64)))))
(/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (/.f64 f (neg.f64 (sqrt.f64 (/.f64 4 (PI.f64))))))
(/.f64 (sqrt.f64 (/.f64 4 (PI.f64))) (.f64 f (sqrt.f64 (.f64 (PI.f64) 1/4))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (/.f64 f (cbrt.f64 (/.f64 4 (PI.f64)))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2) (/.f64 f (neg.f64 (cbrt.f64 (/.f64 4 (PI.f64))))))
(/.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 (PI.f64) (cbrt.f64 (/.f64 16 (*.f64 f f)))))
(/.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 (neg.f64 (PI.f64)) (cbrt.f64 (/.f64 16 (*.f64 f f)))))
(/.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 (*.f64 (/.f64 (PI.f64) 2) (sqrt.f64 f)) (cbrt.f64 (/.f64 2 (sqrt.f64 f)))))
(/.f64 (cbrt.f64 (/.f64 4 f)) (/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 4 f))) (cbrt.f64 (/.f64 4 f))))
(/.f64 (cbrt.f64 (/.f64 16 (*.f64 f f))) (/.f64 (PI.f64) (cbrt.f64 (/.f64 4 f))))
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(.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (/.f64 2 (sqrt.f64 (.f64 f (PI.f64))))) (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))))
(.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(*.f64 (/.f64 1 (pow.f64 (PI.f64) 3)) (pow.f64 (/.f64 4 f) 3))
(.f64 (pow.f64 (/.f64 2 (sqrt.f64 (.f64 f (PI.f64)))) 3) (pow.f64 (/.f64 2 (sqrt.f64 (*.f64 f (PI.f64)))) 3))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) 3) (/.f64 4 (*.f64 f (PI.f64))))
(.f64 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (PI.f64)) (/.f64 4 f))
(.f64 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) 1) (/.f64 4 (*.f64 f (PI.f64))))
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(.f64 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
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(.f64 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (/.f64 (PI.f64) 1)) (/.f64 4 f))
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(.f64 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (/.f64 (PI.f64) (cbrt.f64 (/.f64 16 (*.f64 f f))))) (cbrt.f64 (/.f64 4 f)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) 1) (PI.f64)) (/.f64 4 f))
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(.f64 (/.f64 (.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) 1) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (/.f64 4 f) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) 1) (neg.f64 (PI.f64))) (/.f64 -4 f))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) 1) (/.f64 (PI.f64) 1)) (/.f64 4 f))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) 1) (.f64 (/.f64 (PI.f64) 2) (sqrt.f64 f))) (/.f64 2 (sqrt.f64 f)))
(.f64 (/.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) 1) (/.f64 (PI.f64) (cbrt.f64 (/.f64 16 (.f64 f f))))) (cbrt.f64 (/.f64 4 f)))
(/.f64 4 (/.f64 (.f64 f (PI.f64)) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)))
(/.f64 4 (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (.f64 f (PI.f64)) (.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 4 (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (*.f64 f (PI.f64)))))
(/.f64 (/.f64 4 f) (/.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (/.f64 1 (PI.f64)) (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 (/.f64 4 f) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 16 (*.f64 f f))))
(/.f64 (/.f64 4 f) (/.f64 (PI.f64) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2)))
(/.f64 (/.f64 4 f) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 (/.f64 4 f) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (PI.f64))))
(/.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (PI.f64) (.f64 f 1/4))))
(/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 (.f64 (PI.f64) (.f64 f 1/4)) (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 1 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) 64) (pow.f64 f 3)))
(/.f64 1 (pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 3))
(/.f64 1 (/.f64 (.f64 (PI.f64) (.f64 f 1/4)) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2)))
(/.f64 1 (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (PI.f64) (.f64 f 1/4)))))
(/.f64 1 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 f 1/4) 3)))
(/.f64 (/.f64 2 (sqrt.f64 (.f64 f (PI.f64)))) (/.f64 (.f64 (PI.f64) (.f64 f 1/4)) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3/2)))
(/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 3/2) (/.f64 (.f64 (PI.f64) (.f64 f 1/4)) (/.f64 2 (sqrt.f64 (.f64 f (PI.f64))))))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) (/.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 16 (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64)))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(/.f64 64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 1 f) 3)))
(/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (.f64 (PI.f64) (*.f64 f 1/4)))
(/.f64 (/.f64 16 (.f64 f f)) (/.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (/.f64 1 (PI.f64)) (/.f64 1 (PI.f64)))))
(/.f64 (/.f64 16 (*.f64 f f)) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 4 f)))
(/.f64 (/.f64 16 (.f64 f f)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (pow.f64 (PI.f64) 2)))
(/.f64 (/.f64 16 (.f64 f f)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 f 1/4)))
(/.f64 (/.f64 -4 f) (/.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2)))
(/.f64 (/.f64 -4 f) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (neg.f64 (PI.f64)))))
(/.f64 (pow.f64 (/.f64 4 f) 3) (pow.f64 (PI.f64) 3))
(/.f64 (sqrt.f64 (pow.f64 (/.f64 4 f) 3)) (/.f64 (pow.f64 (PI.f64) 3) (sqrt.f64 (pow.f64 (/.f64 4 f) 3))))
(/.f64 (.f64 (/.f64 4 f) (/.f64 2 (sqrt.f64 f))) (/.f64 (pow.f64 (PI.f64) 3) (.f64 (/.f64 4 f) (/.f64 2 (sqrt.f64 f)))))
(/.f64 (.f64 (/.f64 -4 f) (/.f64 -4 f)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (*.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)) (/.f64 (.f64 (PI.f64) (.f64 f 1/4)) (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)))
(/.f64 -64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (neg.f64 f) 3)))
(/.f64 (.f64 (/.f64 16 (.f64 f f)) 4) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 1 f)))
(/.f64 (.f64 (/.f64 16 (.f64 f f)) 4) (*.f64 (pow.f64 (PI.f64) 3) f))
(/.f64 (.f64 (/.f64 16 (.f64 f f)) 1) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 4 f)))
(/.f64 (.f64 (/.f64 16 (.f64 f f)) 1) (.f64 (pow.f64 (PI.f64) 3) (.f64 f 1/4)))
(/.f64 (.f64 (/.f64 16 (.f64 f f)) (/.f64 2 (sqrt.f64 f))) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 2 (sqrt.f64 f))))
(/.f64 (.f64 (/.f64 16 (.f64 f f)) (cbrt.f64 (/.f64 16 (*.f64 f f)))) (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (/.f64 4 f))))
(/.f64 (.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 f)) (.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (PI.f64)))
(/.f64 (.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 f)) (/.f64 (.f64 (PI.f64) (.f64 f 1/4)) (/.f64 1 (PI.f64))))
(/.f64 (.f64 (/.f64 4 (.f64 f (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) 2)) (/.f64 (.f64 (PI.f64) (.f64 f 1/4)) (cbrt.f64 (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (/.f64 4 f)) (PI.f64))
(/.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) 1) (.f64 (PI.f64) (.f64 f 1/4)))
(/.f64 (.f64 (/.f64 4 f) 4) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (PI.f64) (.f64 f (PI.f64)))))
(/.f64 (.f64 (/.f64 16 (.f64 f f)) -4) (*.f64 (pow.f64 (PI.f64) 3) (neg.f64 f)))
(/.f64 (.f64 (/.f64 4 (.f64 f (PI.f64))) 4) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 f (PI.f64))))
(/.f64 (.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 -4 f)) (.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (neg.f64 (PI.f64))))
(/.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) 4) (*.f64 f (PI.f64)))
(/.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (/.f64 -4 f)) (neg.f64 (PI.f64)))
(/.f64 (.f64 4 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 f (PI.f64))))
(/.f64 (.f64 (/.f64 4 f) (/.f64 4 (.f64 f (PI.f64)))) (.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (PI.f64)))
(/.f64 (.f64 (/.f64 -4 f) (/.f64 4 (.f64 f (PI.f64)))) (.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (neg.f64 (PI.f64))))
(/.f64 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (*.f64 f (PI.f64)))
(/.f64 (.f64 (/.f64 4 f) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (PI.f64))
(/.f64 (.f64 (/.f64 -4 f) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (neg.f64 (PI.f64)))
(/.f64 (.f64 4 (/.f64 4 f)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (.f64 f (PI.f64)) (PI.f64))))
(/.f64 (pow.f64 (/.f64 4 f) 3/2) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 4 f) 3/2)))
(/.f64 (.f64 4 (/.f64 -4 f)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (.f64 f (PI.f64)) (neg.f64 (PI.f64)))))
(/.f64 (.f64 (/.f64 4 f) (/.f64 -4 f)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (*.f64 (PI.f64) (neg.f64 (PI.f64)))))
(/.f64 (.f64 (/.f64 -4 f) 4) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (neg.f64 (PI.f64)) (.f64 f (PI.f64)))))
(/.f64 (.f64 (/.f64 -4 f) (/.f64 4 f)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (*.f64 (neg.f64 (PI.f64)) (PI.f64))))
(/.f64 (.f64 (/.f64 -4 f) 1) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 4 f) 3)) (neg.f64 (pow.f64 (PI.f64) 3)))
(/.f64 (pow.f64 (/.f64 2 (sqrt.f64 f)) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 2 (sqrt.f64 f)) 3)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 16 (*.f64 f f))) 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 4 f)))
(/.f64 (pow.f64 (/.f64 -4 f) 3) (pow.f64 (neg.f64 (PI.f64)) 3))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 6))
(log.f64 (exp.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3)))))
(cbrt.f64 (pow.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3)) 3))
(expm1.f64 (log1p.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))))
(exp.f64 (.f64 3 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1))
(log1p.f64 (expm1.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))))

Outputs
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 64) (PI.f64)) f)
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 64) (PI.f64)) f)
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 64) (PI.f64)) f)
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 64) (PI.f64)) f)
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 64) (PI.f64)) f)
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 64) (PI.f64)) f)
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 64) (PI.f64)) f)
(/.f64 (cbrt.f64 64) (*.f64 f (PI.f64)))
(/.f64 (/.f64 (cbrt.f64 64) (PI.f64)) f)
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(neg.f64 (/.f64 (cbrt.f64 -64) (*.f64 f (PI.f64))))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(neg.f64 (/.f64 (cbrt.f64 -64) (*.f64 f (PI.f64))))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(neg.f64 (/.f64 (cbrt.f64 -64) (*.f64 f (PI.f64))))
(.f64 -1 (/.f64 (cbrt.f64 -64) (.f64 f (PI.f64))))
(neg.f64 (/.f64 (cbrt.f64 -64) (*.f64 f (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (.f64 -1 (log.f64 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 (cbrt.f64 64) (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (*.f64 -4 (+.f64 (log.f64 (/.f64 (cbrt.f64 64) (PI.f64))) (neg.f64 (log.f64 f)))) (PI.f64))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (cbrt.f64 -64) (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) 4) (*.f64 f (PI.f64)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (/.f64 -4 f)) (neg.f64 (PI.f64)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 4 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 f (PI.f64))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 (/.f64 4 f) (/.f64 4 (.f64 f (PI.f64)))) (.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (PI.f64)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 (/.f64 -4 f) (/.f64 4 (.f64 f (PI.f64)))) (.f64 (.f64 (PI.f64) (*.f64 f 1/4)) (neg.f64 (PI.f64))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (*.f64 f (PI.f64)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 (/.f64 4 f) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (PI.f64))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 (/.f64 -4 f) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 2)) (neg.f64 (PI.f64)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 4 (/.f64 4 f)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (.f64 f (PI.f64)) (PI.f64))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (pow.f64 (/.f64 4 f) 3/2) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 4 f) 3/2)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 4 (/.f64 -4 f)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (.f64 f (PI.f64)) (neg.f64 (PI.f64)))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 (/.f64 4 f) (/.f64 -4 f)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (*.f64 (PI.f64) (neg.f64 (PI.f64)))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 (/.f64 -4 f) 4) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (neg.f64 (PI.f64)) (.f64 f (PI.f64)))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 (/.f64 -4 f) (/.f64 4 f)) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (*.f64 (neg.f64 (PI.f64)) (PI.f64))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (.f64 (/.f64 -4 f) 1) (.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) (*.f64 f 1/4)))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (neg.f64 (pow.f64 (/.f64 4 f) 3)) (neg.f64 (pow.f64 (PI.f64) 3)))
(/.f64 (neg.f64 (/.f64 64 (pow.f64 f 3))) (pow.f64 (neg.f64 (PI.f64)) 3))
(/.f64 -64 (*.f64 (pow.f64 (neg.f64 (PI.f64)) 3) (pow.f64 f 3)))
(/.f64 (pow.f64 (/.f64 2 (sqrt.f64 f)) 3) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 2 (sqrt.f64 f)) 3)))
(*.f64 (/.f64 (/.f64 8 (pow.f64 (sqrt.f64 f) 3)) (pow.f64 (PI.f64) 3)) (/.f64 8 (pow.f64 (sqrt.f64 f) 3)))
(*.f64 (/.f64 8 (pow.f64 (sqrt.f64 f) 3)) (/.f64 (/.f64 8 (pow.f64 (sqrt.f64 f) 3)) (pow.f64 (PI.f64) 3)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 16 (*.f64 f f))) 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 4 f)))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(/.f64 (pow.f64 (/.f64 -4 f) 3) (pow.f64 (neg.f64 (PI.f64)) 3))
(/.f64 (neg.f64 (/.f64 64 (pow.f64 f 3))) (pow.f64 (neg.f64 (PI.f64)) 3))
(/.f64 -64 (*.f64 (pow.f64 (neg.f64 (PI.f64)) 3) (pow.f64 f 3)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 6))
(log.f64 (exp.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3)))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(cbrt.f64 (pow.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3)) 3))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(expm1.f64 (log1p.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))
(exp.f64 (.f64 3 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1))
(pow.f64 (exp.f64 3) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))))
(/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3))

eval1.1s (5.1%)

Compiler: Compiled 48648 to 36580 computations (24.8% saved)

prune689.0ms (3.3%)

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	2026	17	2043
Fresh	15	8	23
Picked	1	0	1
Done	3	2	5
Total	2045	27	2072

Error

0.4b

Counts

2072 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	2.9b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
▶	63.0b	(/.f64 (PI.f64) 8)
	2.9b	(/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
	62.1b	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) (*.f64 1/4 f)) -1)))))
	60.4b	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 (/.f64 (sqrt.f64 f) (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) (.f64 1/4 (sqrt.f64 f)))))))))
	61.0b	(/.f64 -1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 0)))
	2.9b	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
▶	3.0b	(/.f64 -1 (.f64 (/.f64 (PI.f64) 4) (/.f64 -1 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
▶	0.9b	(/.f64 -1 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
✓	55.3b	(/.f64 -2 (PI.f64))
	1.6b	(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))) 1)
	59.9b	(.f64 (/.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 f (.f64 1/4 (PI.f64)))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 f (*.f64 1/4 (PI.f64)))))) (PI.f64)) 4)
	2.8b	(.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)) 4)
	2.9b	(.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (neg.f64 (pow.f64 (.f64 (PI.f64) 1/4) -2))) 4) (PI.f64))
✓	0.8b	(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) 4)
	62.9b	(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
▶	0.9b	(.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
	2.9b	(.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 0 (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64)))) 4)
	0.9b	(.f64 (.f64 3 (/.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (PI.f64))) 4)
	2.9b	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	2.9b	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) -1)))
▶	3.7b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	0.9b	(.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (PI.f64)))) 4)
	2.9b	(.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64)))
	2.9b	(.f64 -4 (/.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))
	3.2b	(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 2) (log.f64 (/.f64 (/.f64 2 f) (PI.f64))))))
	11.9b	(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 4 (PI.f64))))

Compiler

Compiled 748 to 634 computations (15.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))
	0.0b	(tanh.f64 (.f64 (PI.f64) (.f64 1/4 f)))
	0.3b	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.4b	(.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))

Compiler

Compiled 40 to 28 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1366×	`associate-*r/`
1196×	`associate-*l/`
632×	`associate-/r*`
438×	`distribute-rgt-in`
394×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	301	37
2	3767	37

Stop Event

1×	node limit

Counts

1 → 121

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (*.f64 (/.f64 4 (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 4 (PI.f64)) 0) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (pow.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 2))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (sqrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (/.f64 4 (PI.f64))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(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 4 (PI.f64))) (*.f64 (log.f64 (cbrt.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (PI.f64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (PI.f64) 1/4) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 (*.f64 (PI.f64) 1/4) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (/.f64 (*.f64 (PI.f64) 1/4) (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2)))))) (#(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 (*.f64 (PI.f64) 1/4) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) (neg.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 (neg.f64 (PI.f64)) (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 4 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (/.f64 (PI.f64) (sqrt.f64 (*.f64 4 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (*.f64 4 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (cbrt.f64 (*.f64 4 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))) (/.f64 (PI.f64) (cbrt.f64 (*.f64 4 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))) (/.f64 (PI.f64) (sqrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (pow.f64 (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))) 2)) (/.f64 (PI.f64) (cbrt.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) 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simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1300×	`distribute-lft-in`
1266×	`distribute-rgt-in`
1094×	`associate-/l*`
526×	`times-frac`
420×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	7179
1	1088	6783
2	5335	6747

Stop Event

1×	node limit

Counts

133 → 181

Calls

Call 1

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

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

localize3.0ms (0%)

Compiler: Compiled 6 to 5 computations (16.7% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1 (.f64 (/.f64 (PI.f64) 4) (/.f64 -1 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
✓	0.2b	(/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 1/4 f))))
	0.3b	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.3b	(.f64 (/.f64 (PI.f64) 4) (/.f64 -1 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))

Compiler

Compiled 57 to 42 computations (26.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`associate-/l*`
896×	`associate-/r/`
596×	`distribute-rgt-in`
562×	`distribute-lft-in`
384×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	109
1	343	97
2	4255	91

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

Inputs

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

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

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

Outputs

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1/4 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 1 (*.f64 -4 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 1 (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 4 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f)))) -4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 f))) -4) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) (*.f64 1/4 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simplify164.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

874×	`associate-/l*`
840×	`associate-r`
828×	`associate-/r*`
724×	`*-commutative`
604×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	597	11964
1	1671	10890
2	6690	10890

Stop Event

1×	node limit

Counts

274 → 327

Calls

Call 1

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

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
✓	0.2b	(/.f64 -1 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
✓	0.3b	(.f64 (PI.f64) (.f64 f 1/4))
✓	0.3b	(.f64 (PI.f64) (/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))

Compiler

Compiled 60 to 44 computations (26.7% saved)

series7.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`associate-/r*`
570×	`associate-/l*`
530×	`associate-/r/`
434×	`distribute-rgt-in`
386×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	124
1	345	122
2	4292	118

Stop Event

1×	node limit

Counts

4 → 188

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (/.f64 1 (.f64 (/.f64 1 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/4 (/.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64)))) (/.f64 1 (sqrt.f64 (/.f64 -1/4 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (/.f64 1 (.f64 (sqrt.f64 (/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) (/.f64 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) -4) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) (/.f64 1 (.f64 (sqrt.f64 (PI.f64)) (/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (.f64 (sqrt.f64 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simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1004×	`associate-r`
800×	`associate-l`
782×	`associate-/l*`
726×	`*-commutative`
538×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	634	14050
1	1812	12108

Stop Event

1×	node limit

Counts

236 → 285

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

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) f)
✓	0.3b	(/.f64 4 (*.f64 (PI.f64) f))
✓	0.4b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
✓	1.0b	(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))

Compiler

Compiled 63 to 41 computations (34.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	f	@	0	(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
0.0ms	f	@	-inf	(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
0.0ms	f	@	inf	(expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
0.0ms	f	@	0	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
0.0ms	f	@	inf	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))

rewrite92.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`associate-/r*`
814×	`associate-/l*`
512×	`associate-/r/`
496×	`distribute-rgt-in`
460×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	351	67
2	4113	67

Stop Event

1×	node limit

Counts

3 → 198

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (log.f64 (/.f64 (/.f64 1 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (neg.f64 (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (*.f64 1 (log.f64 (/.f64 (/.f64 1 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 4) (*.f64 1 (neg.f64 (log.f64 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (log.f64 (*.f64 (*.f64 (PI.f64) f) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (-.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))) (log.f64 (/.f64 2 (sqrt.f64 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 (*.f64 (PI.f64) f) 2)))) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (PI.f64))) (-.f64 (log.f64 4) (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (log.f64 (cbrt.f64 (/.f64 16 (pow.f64 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simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1164×	`associate-+l-`
962×	`associate-+r-`
820×	`associate-/l*`
792×	`+-commutative`
746×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	7414
1	1144	7262
2	6198	7262

Stop Event

1×	node limit

Counts

234 → 273

Calls

Call 1

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

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

eval962.0ms (4.5%)

Compiler: Compiled 34628 to 26150 computations (24.5% saved)

prune632.0ms (3%)

Pruning

28 alts after pruning (22 fresh and 6 done)

	Pruned	Kept	Total
New	1402	10	1412
Fresh	8	12	20
Picked	0	1	1
Done	1	5	6
Total	1411	28	1439

Error

0.4b

Counts

1439 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	2.9b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
✓	63.0b	(/.f64 (PI.f64) 8)
	3.0b	(/.f64 -1 (/.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64))))
	62.1b	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) (*.f64 1/4 f)) -1)))))
	60.4b	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 (/.f64 (sqrt.f64 f) (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) (.f64 1/4 (sqrt.f64 f)))))))))
	61.0b	(/.f64 -1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 0)))
	2.9b	(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
	3.0b	(/.f64 -1 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
✓	0.9b	(/.f64 -1 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
	3.7b	(/.f64 -1 (exp.f64 (log.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
✓	55.3b	(/.f64 -2 (PI.f64))
	1.6b	(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))) 1)
	2.9b	(.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (neg.f64 (pow.f64 (.f64 (PI.f64) 1/4) -2))) 4) (PI.f64))
✓	0.8b	(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) 4)
	59.9b	(.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 f (.f64 1/4 (PI.f64)))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 f (*.f64 1/4 (PI.f64)))))))
	2.9b	(.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
	3.0b	(.f64 (/.f64 4 (PI.f64)) (.f64 3 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
	62.9b	(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
	2.9b	(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))
✓	0.9b	(.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
	2.9b	(.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 0 (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64)))) 4)
	0.9b	(.f64 (.f64 3 (/.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (PI.f64))) 4)
	2.9b	(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) -1)))
✓	3.7b	(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	0.9b	(.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (PI.f64)))) 4)
	2.9b	(.f64 -4 (/.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))
	15.6b	(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
	3.3b	(cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 4 (PI.f64))) 3))

Compiler

Compiled 396 to 336 computations (15.2% saved)

regimes163.0ms (0.8%)

Counts

71 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(/.f64 (PI.f64) 8)
(/.f64 -1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 0)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
(.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) -4))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
(/.f64 -1 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 -1 (.f64 (/.f64 (PI.f64) 4) (/.f64 -1 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(/.f64 -1 (/.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) -1)))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) (*.f64 1/4 f)) -1)))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/4))) (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
(.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))
(.f64 (/.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) (PI.f64)) 4)
(.f64 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))) (PI.f64)) 4)
(/.f64 4 (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 1/4 (PI.f64))))))
(.f64 -4 (/.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (.f64 3 (log.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(/.f64 -1 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))))
(neg.f64 (*.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 2) (log.f64 (/.f64 (/.f64 2 f) (PI.f64))))))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(/.f64 (.f64 (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) -1) (.f64 (PI.f64) 1/4))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 2) (log.f64 (.f64 (*.f64 (PI.f64) 1/2) f))))
(log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 4 (PI.f64))))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 4 (PI.f64))) 3))
(.f64 (log.f64 (pow.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))) (/.f64 1 (PI.f64)))) 4)
(.f64 (.f64 3 (/.f64 (log.f64 (cbrt.f64 (tanh.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (PI.f64))) 4)
(.f64 (/.f64 4 (PI.f64)) (.f64 3 (log.f64 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(/.f64 -1 (exp.f64 (log.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
(.f64 (+.f64 (/.f64 (log.f64 f) (PI.f64)) (+.f64 0 (/.f64 (log.f64 (.f64 1/4 (PI.f64))) (PI.f64)))) 4)
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))) 1)
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 3) 1/3)))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) 1))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 3 (log.f64 (cbrt.f64 f)))))
(.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (neg.f64 (pow.f64 (.f64 (PI.f64) 1/4) -2))) 4) (PI.f64))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))))) 1)
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (/.f64 1 (cbrt.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f))))) 3)))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 (/.f64 1 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))) 3) 1/3)))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 (/.f64 (sqrt.f64 f) (.f64 (PI.f64) (.f64 f 1/4))) (.f64 (PI.f64) (.f64 1/4 (sqrt.f64 f)))))))))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 3) (*.f64 (pow.f64 (PI.f64) 3) 1/64)))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 2) (.f64 (PI.f64) (.f64 f 1/4)))) (expm1.f64 (.f64 f (*.f64 (PI.f64) 1/2))))))
(/.f64 -1 (.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (pow.f64 (log.f64 (tanh.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)))))
(.f64 (/.f64 4 (PI.f64)) (-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 f (.f64 1/4 (PI.f64)))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 f (*.f64 1/4 (PI.f64)))))))
(.f64 (/.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 f (.f64 1/4 (PI.f64)))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 f (*.f64 1/4 (PI.f64)))))) (PI.f64)) 4)
(/.f64 (.f64 (neg.f64 (-.f64 (log.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (.f64 f (.f64 1/4 (PI.f64)))))) (log1p.f64 (pow.f64 (exp.f64 -2) (.f64 f (.f64 1/4 (PI.f64))))))) -1) (.f64 (PI.f64) 1/4))
(.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 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)))
(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 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) 1) (/.f64 (sqrt.f64 (.f64 2 (cosh.f64 (.f64 (PI.f64) (.f64 1/4 f))))) (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 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)))) (exp.f64 (log.f64 (.f64 2 (sinh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (exp.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 (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))) (log.f64 (pow.f64 (exp.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)))))))))

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

Calls

6 calls:

42.0ms	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
35.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
31.0ms	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)))))))
9.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Error	Segments	Branch
0.8b	1	`f`
0.8b	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))))))))`
0.8b	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)))))))`
0.8b	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))))))`
0.8b	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)))))`
0.8b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1304 to 993 computations (23.8% saved)

regimes48.0ms (0.2%)

Counts

26 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(/.f64 (PI.f64) 8)
(/.f64 -1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 0)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
(.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) -4))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
(/.f64 -1 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 -1 (.f64 (/.f64 (PI.f64) 4) (/.f64 -1 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(/.f64 -1 (/.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) -1)))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) (*.f64 1/4 f)) -1)))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/4))) (PI.f64)))
(.f64 (log.f64 (tanh.f64 (.f64 1/4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (tanh.f64 (.f64 (PI.f64) (*.f64 1/4 f)))))
(.f64 (/.f64 4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 1/4 (PI.f64)))))

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

Calls

1 calls:

41.0ms

Results

Error	Segments	Branch
0.9b	1	`f`

Compiler

Compiled 295 to 218 computations (26.1% saved)

regimes20.0ms (0.1%)

Counts

23 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(/.f64 (PI.f64) 8)
(/.f64 -1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 0)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
(.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) -4))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
(/.f64 -1 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 -1 (.f64 (/.f64 (PI.f64) 4) (/.f64 -1 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(/.f64 -1 (/.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) -1)))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) (*.f64 1/4 f)) -1)))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))
(.f64 4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/4))) (PI.f64)))

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
2.8b	1	`f`

Compiler

Compiled 262 to 196 computations (25.2% saved)

regimes17.0ms (0.1%)

Counts

22 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(/.f64 (PI.f64) 8)
(/.f64 -1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 0)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
(.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 (PI.f64) -4))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
(/.f64 -1 (.f64 (PI.f64) (/.f64 -1/4 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (neg.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4)))))
(/.f64 -1 (.f64 (/.f64 (PI.f64) 4) (/.f64 -1 (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))))
(/.f64 -1 (/.f64 (/.f64 -1 (log.f64 (.f64 (PI.f64) (.f64 1/4 f)))) (/.f64 4 (PI.f64))))
(.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) 1/2)) f)))
(*.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (log1p.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) -1)))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log1p.f64 (+.f64 (.f64 (PI.f64) (*.f64 1/4 f)) -1)))))
(/.f64 -1 (/.f64 (.f64 (PI.f64) 1/4) (neg.f64 (log.f64 (+.f64 (.f64 (.f64 f f) 0) (.f64 f (*.f64 1/4 (PI.f64))))))))
(neg.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
2.9b	1	`f`

Compiler

Compiled 251 to 188 computations (25.1% saved)

regimes8.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(/.f64 (PI.f64) 8)
(/.f64 -1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 0)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
(.f64 (log.f64 (.f64 (PI.f64) (*.f64 f 1/4))) (/.f64 4 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) (*.f64 1/4 f))))
(*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
2.9b	1	`f`

Compiler

Compiled 55 to 42 computations (23.6% saved)

regimes6.0ms (0%)

Accuracy

Total -7.7b remaining (-13.9%)

Threshold costs -7.7b (-13.9%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(/.f64 (PI.f64) 8)
(/.f64 -1 (/.f64 (*.f64 (PI.f64) 1/4) (neg.f64 0)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)

Outputs
(/.f64 -2 (PI.f64))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
55.3b	1	`f`

Compiler

Compiled 25 to 21 computations (16% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	186
1	47	186

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

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

Compiler

Compiled 62 to 52 computations (16.1% saved)

soundness170.0ms (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)

end48.0ms (0.2%)

Compiler: Compiled 57 to 42 computations (26.3% saved)