Details

analyze321.0ms (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)

sample9.5s (48.9%)

Results

3.2s	3966×	body	1024	valid
2.7s	3932×	body	1024	invalid
1.2s	2021×	body	512	valid
863.0ms	1947×	body	512	invalid
844.0ms	555×	body	2048	valid
465.0ms	1714×	body	256	valid
213.0ms	1005×	body	256	invalid
12.0ms	2×	body	2048	invalid
2.0ms	8×	body	256	unsamplable

Bogosity

preprocess71.0ms (0.4%)

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)

simplify62.0ms (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)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

97.14%

Counts

9 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	97.14%	(.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

▶

97.14%

(*.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 33 to 22 computations (33.3% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1%	(.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)))
✓	0.37%	(*.f64 (PI.f64) f)
✓	1.92%	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
✓	9.72%	(-.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)

series69.0ms (0.4%)

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)))
28.0ms	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))))

rewrite167.0ms (0.9%)

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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simplify130.0ms (0.7%)

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))))))
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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 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))

eval382.0ms (2%)

Compiler: Compiled 18218 to 10415 computations (42.8% saved)

prune105.0ms (0.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	349	8	357
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	349	9	358

Error

2.67%

Counts

358 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	98.41%	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
▶	86.42%	(/.f64 -2 (PI.f64))
▶	70.92%	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
	97.18%	(.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) (log.f64 (exp.f64 f)))))))) (/.f64 -4 (PI.f64)))
✓	97.14%	(.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)))
▶	3.16%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (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 -4 (PI.f64)))
▶	3.34%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
	3.3%	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
▶	3.15%	(.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)))

Compiler

Compiled 377 to 292 computations (22.5% saved)

localize46.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.36%	(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
✓	0.59%	(/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))
✓	3.13%	(log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))

New

Error

Program

✓

0.36%

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

✓

0.59%

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

✓

3.13%

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

Compiler

Compiled 97 to 71 computations (26.8% saved)

series84.0ms (0.4%)

Counts

3 → 16

Calls

6 calls:

Time	Variable		Point	Expression
63.0ms	f	@	0	(/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))
10.0ms	f	@	-inf	(/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))
10.0ms	f	@	inf	(/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f))) (PI.f64))
0.0ms	f	@	inf	(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
0.0ms	f	@	-inf	(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`associate-/l*`
990×	`associate-/r/`
410×	`add-sqr-sqrt`
394×	`pow1`
394×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	93
1	413	75
2	5593	71

Stop Event

1×	node limit

Counts

3 → 209

Calls

Call 1

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

Inputs

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

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

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

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

simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-+r-`
720×	`associate-r`
520×	`associate-l`
510×	`associate-/l*`
488×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	504	11609
1	1429	9405
2	7992	9375

Stop Event

1×	node limit

Counts

225 → 332

Calls

Call 1

Inputs
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)))) (PI.f64))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))
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(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1))))
(+.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 0)
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(+.f64 (log.f64 2) (neg.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 0 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 4)))) (log.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 4)))))
(+.f64 (log.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) 4)))) (log.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) 4))) 2)))
(+.f64 (log.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) 4))) 2)) (log.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) 4)))))
(+.f64 (log.f64 (/.f64 -1 (*.f64 (PI.f64) 1/2))) (log.f64 2))
(+.f64 (neg.f64 (log.f64 (*.f64 (PI.f64) 1/2))) (log.f64 2))
(+.f64 (+.f64 0 (log.f64 2)) (log.f64 (/.f64 -1 (*.f64 (PI.f64) 1/2))))
(+.f64 (+.f64 0 (log.f64 2)) (neg.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(+.f64 (+.f64 0 (log.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 4))))) (log.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 4)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) 4))) 2))) (log.f64 (/.f64 1 (cbrt.f64 (/.f64 (PI.f64) 4)))))
(+.f64 (-.f64 (log.f64 2) (log.f64 (-.f64 (.f64 -1/64 (pow.f64 (PI.f64) 3)) (.f64 -1/64 (pow.f64 (PI.f64) 3))))) (log.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4) (.f64 1/16 (pow.f64 (PI.f64) 2)))))
(+.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (pow.f64 (PI.f64) 2) 1/4))) (log.f64 (.f64 (PI.f64) 1/2)))
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(fma.f64 (sqrt.f64 (log.f64 f)) (sqrt.f64 (log.f64 f)) (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (sqrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (log.f64 f))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 f)) 2) (cbrt.f64 (log.f64 f)) (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) 2) (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (log.f64 f))

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

localize3.0ms (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
✓	0.01%	(log.f64 (/.f64 (/.f64 -2 (*.f64 (PI.f64) -2)) f))
✓	0.63%	(/.f64 (/.f64 -2 (*.f64 (PI.f64) -2)) f)
✓	0.71%	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))

Compiler

Compiled 43 to 32 computations (25.6% saved)

series34.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	f	@	0	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
14.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
6.0ms	f	@	inf	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(/.f64 (/.f64 -2 (*.f64 (PI.f64) -2)) f)
0.0ms	f	@	0	(log.f64 (/.f64 (/.f64 -2 (*.f64 (PI.f64) -2)) f))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`associate-/l*`
634×	`associate-/l/`
542×	`associate-/r/`
396×	`distribute-rgt-in`
368×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	85
1	299	67
2	3855	63

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1660×	`associate-/r/`
540×	`associate-/l*`
528×	`associate-+l+`
508×	`+-commutative`
496×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	444	6284
1	1200	5514
2	5109	5514

Stop Event

1×	node limit

Counts

214 → 262

Calls

Call 1

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

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.37%	(*.f64 (PI.f64) f)
✓	0.42%	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))
✓	0.72%	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
✓	1.89%	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f)))

Compiler

Compiled 145 to 88 computations (39.3% saved)

series331.0ms (1.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
305.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f)))
21.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f)))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f)))
1.0ms	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 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
1.0ms	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 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))

rewrite118.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`add-sqr-sqrt`
502×	`pow1`
502×	`*-un-lft-identity`
488×	`add-exp-log`
486×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	211
1	526	211
2	7263	211

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs

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

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

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

Outputs

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simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-+r+`
1118×	`associate-+l+`
614×	`+-commutative`
582×	`associate-r`
450×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	369	10011
1	1030	8373
2	5036	8373

Stop Event

1×	node limit

Counts

143 → 200

Calls

Call 1

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

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

localize92.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.56%	(*.f64 1/384 (pow.f64 (PI.f64) 3))
✓	1.56%	(pow.f64 (PI.f64) 3)
✓	1.56%	(*.f64 -1/384 (pow.f64 (PI.f64) 3))
✓	1.9%	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (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)))))))

Compiler

Compiled 263 to 182 computations (30.8% saved)

series7.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

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

3.0ms

inf

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

1.0ms

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

rewrite59.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`add-sqr-sqrt`
656×	`*-un-lft-identity`
652×	`pow1`
644×	`add-exp-log`
642×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	134
1	702	134

Stop Event

1×	node limit

Counts

4 → 47

Calls

Call 1

Inputs
(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (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 -1/384 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 1/384 (pow.f64 (PI.f64) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))) (neg.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))) (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))))) 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((#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (PI.f64) 6) 1/147456) -1/384) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (.f64 (PI.f64) (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (PI.f64) 3) 1/2) (pow.f64 (pow.f64 (PI.f64) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (pow.f64 (PI.f64) 3) -1/384))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (.f64 1/384 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 6) 1/147456)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/384 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/384 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/384 (pow.f64 (PI.f64) 3))))))))

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1212×	`distribute-lft-in`
1192×	`distribute-rgt-in`
838×	`associate-+r+`
806×	`associate-*r/`
700×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	5133
1	703	4429
2	3250	4425

Stop Event

1×	node limit

Counts

59 → 119

Calls

Call 1

Inputs
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))
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(+.f64 (.f64 3 (log.f64 (/.f64 1 f))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 2))) (.f64 24 (/.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 2)))) (pow.f64 f 4))) (+.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))) (.f64 1/720 (/.f64 (+.f64 (.f64 -240 (/.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 3))) (+.f64 (.f64 -720 (/.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 3))) (.f64 720 (/.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 3))))) (pow.f64 f 6)))))))
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(+.f64 (.f64 3 (log.f64 (/.f64 -1 f))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))) (log.f64 (.f64 -1 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))))))))
(+.f64 (.f64 3 (log.f64 (/.f64 -1 f))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 (pow.f64 f 2) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 2))) (.f64 24 (/.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) 2)))) (pow.f64 f 4))) (log.f64 (.f64 -1 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))))
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(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))) (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) 1)
(.f64 1 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) 2)))
(.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) 2)) (cbrt.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) 1/2) (pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) 1/2))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))) (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))) (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))) (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (+.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))) (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))) 3) (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))) 3)) (+.f64 (.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))) (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))) (+.f64 (.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))) (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))) (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) 1)
(cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) 2)))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(cbrt.f64 (.f64 (.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/147456) -1/384) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 1/2) (pow.f64 (pow.f64 (PI.f64) 3) 1/2))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 0 (*.f64 (pow.f64 (PI.f64) 3) -1/384))
(pow.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) 1)
(neg.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))
(log.f64 (exp.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 6) 1/147456)))
(expm1.f64 (log1p.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(exp.f64 (log.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(log1p.f64 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))

Outputs
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (*.f64 -1 (log.f64 f)))
(+.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (.f64 -1 (log.f64 f))))
(+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 1/2 (.f64 (.f64 (PI.f64) 1/2) (.f64 f (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0))) (neg.f64 (log.f64 f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 f (.f64 (PI.f64) 0)) (log.f64 f)))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 f (.f64 (PI.f64) 0)))
(+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 2))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))))) (pow.f64 f 2))) (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 1/2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (.f64 f (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (*.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (.f64 (fma.f64 -1/4 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) (pow.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) 2)) (.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))))) (.f64 f f)) (+.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (fma.f64 1/2 (.f64 (.f64 (PI.f64) 1/2) (.f64 f (.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0))) (neg.f64 (log.f64 f)))))
(+.f64 (-.f64 (.f64 f (.f64 (PI.f64) 0)) (log.f64 f)) (fma.f64 1/2 (.f64 f (.f64 f (fma.f64 (.f64 (PI.f64) 1/2) (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (/.f64 (.f64 1/96 (pow.f64 (PI.f64) 3)) (.f64 1/4 (pow.f64 (PI.f64) 2)))) (.f64 0 (.f64 1/4 (pow.f64 (PI.f64) 2)))))) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (-.f64 (.f64 f (.f64 (PI.f64) 0)) (log.f64 f)) (fma.f64 1/2 (.f64 (fma.f64 (.f64 (PI.f64) 1/2) (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (/.f64 -1/96 (/.f64 (.f64 1/4 (pow.f64 (PI.f64) 2)) (pow.f64 (PI.f64) 3)))) (.f64 0 (.f64 1/4 (pow.f64 (PI.f64) 2)))) (*.f64 f f)) (log.f64 (/.f64 4 (PI.f64)))))
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(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)))) 3) (pow.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))) 3)) (fma.f64 (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)))) (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3)))))) (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)))) (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) 1)
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) 2)))
(cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3))))) 2)))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))) 3))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3)))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(log1p.f64 (expm1.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 f 3)))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (PI.f64)) (.f64 1/4 f))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 -1/4 f)) (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 3))))))
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(cbrt.f64 (.f64 (.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/147456) -1/384) (pow.f64 (PI.f64) 3)))
(cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 6) -1/56623104)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) -1/56623104))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
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(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
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(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (PI.f64)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 1/2) (pow.f64 (pow.f64 (PI.f64) 3) 1/2))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 6)))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(-.f64 0 (*.f64 (pow.f64 (PI.f64) 3) -1/384))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(pow.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) 1)
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(neg.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(log.f64 (exp.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(cbrt.f64 (.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 6) 1/147456)))
(cbrt.f64 (.f64 1/384 (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 6) 1/147456))))
(cbrt.f64 (neg.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) -1/56623104)))
(expm1.f64 (log1p.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(exp.f64 (log.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 1/384 (pow.f64 (PI.f64) 3))
(log1p.f64 (expm1.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3))))
(*.f64 1/384 (pow.f64 (PI.f64) 3))

eval672.0ms (3.5%)

Compiler: Compiled 29322 to 20457 computations (30.2% saved)

prune299.0ms (1.5%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	954	21	975
Fresh	2	1	3
Picked	1	0	1
Done	3	2	5
Total	960	24	984

Error

2.3%

Counts

984 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	98.41%	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
	4.16%	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (.f64 (PI.f64) (*.f64 1/2 f)))) -4)))
✓	86.42%	(/.f64 -2 (PI.f64))
	70.92%	(/.f64 -4 (/.f64 (PI.f64) (neg.f64 (log.f64 (*.f64 (PI.f64) f)))))
	5.46%	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (.f64 (PI.f64) (*.f64 1/2 f)))) 3) 1/3) (/.f64 -4 (PI.f64)))
	5.5%	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (.f64 (PI.f64) (*.f64 1/2 f))))) 3) (/.f64 -4 (PI.f64)))
▶	3.21%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	3.16%	(.f64 (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))) (log.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 -4 (PI.f64)))
	4.18%	(.f64 (+.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) f)) (.f64 3 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)))))) (/.f64 -4 (PI.f64)))
▶	3.16%	(.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) 1) (/.f64 -4 (PI.f64)))
	3.3%	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
✓	97.14%	(.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)))
	3.28%	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
▶	70.92%	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
	5.28%	(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (.f64 (PI.f64) (*.f64 1/2 f)))))) (/.f64 -4 (PI.f64)))
	3.41%	(*.f64 -4 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 f) 2) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (-.f64 (log.f64 (/.f64 (PI.f64) 4)) (log.f64 f))) (PI.f64)))
▶	3.38%	(*.f64 -4 (/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 (pow.f64 (log.f64 f) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))) (PI.f64)))
	3.67%	(.f64 -4 (/.f64 (-.f64 (/.f64 (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2) (log.f64 (.f64 f (/.f64 4 (PI.f64))))) (/.f64 (pow.f64 (log.f64 f) 2) (log.f64 (*.f64 f (/.f64 4 (PI.f64)))))) (PI.f64)))
▶	3.35%	(*.f64 -4 (/.f64 (-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f))) (PI.f64)))
	3.17%	(*.f64 -4 (/.f64 (-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (sqrt.f64 f))) (log.f64 (sqrt.f64 f))) (PI.f64)))
	3.3%	(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 3 (log.f64 (cbrt.f64 f)))) (PI.f64)))
	3.17%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	20.7%	(log.f64 (+.f64 (pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) f)) (/.f64 -4 (PI.f64))) 0))
	4.59%	(cbrt.f64 (.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (.f64 (PI.f64) (*.f64 1/2 f)))) 3)))

Compiler

Compiled 999 to 790 computations (20.9% saved)

localize113.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.71%	(.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) 1) (/.f64 -4 (PI.f64)))
✓	1.56%	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
	1.56%	(pow.f64 (PI.f64) 3)
✓	1.9%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))

Compiler

Compiled 214 to 155 computations (27.6% saved)

series7.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))
1.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))
1.0ms	f	@	0	(.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) 1) (/.f64 -4 (PI.f64)))
1.0ms	f	@	inf	(.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) 1) (/.f64 -4 (PI.f64)))

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`add-sqr-sqrt`
594×	`*-un-lft-identity`
590×	`pow1`
580×	`add-exp-log`
578×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	219
1	671	207
2	7964	207

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs

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

(*.f64 (pow.f64 (PI.f64) 3) 1/192)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)))) (log.f64 (/.f64 1 (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)))) (neg.f64 (log.f64 (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))))))) 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(*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))) (fma.f64 (*.f64 (PI.f64) 1/2) f (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 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simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1324×	`associate-*r/`
1130×	`associate-*l/`
1102×	`associate-+l+`
926×	`associate-+r+`
624×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	8436
1	874	8036
2	3900	8016

Stop Event

1×	node limit

Counts

92 → 184

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))) (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (*.f64 f 1/4))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) 2)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 3)) 1/192))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64)))))) 1)
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -4)))
(/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (.f64 (PI.f64) -1/4))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -4) (PI.f64))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 4) (neg.f64 (PI.f64)))
(/.f64 (.f64 4 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -4) 1) (PI.f64))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -4)) (neg.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64)))) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64)))) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 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 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))) 1))

Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))
(fma.f64 1/2 (.f64 f (.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (*.f64 f 0) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (*.f64 f 0) (log.f64 f)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 f)))))
(fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))))) (fma.f64 1/2 (.f64 f (.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0)))
(+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 f (.f64 f (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (.f64 f 0)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/4 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))) (+.f64 (.f64 3/2 (.f64 (-.f64 (.f64 2 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (.f64 1/48 (.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64)))) (PI.f64))) (.f64 1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 3)))))) (+.f64 (.f64 1/2 (.f64 (pow.f64 f 2) (+.f64 (.f64 -1/4 (pow.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) 2)) (.f64 1/2 (.f64 (-.f64 (.f64 1/8 (PI.f64)) (.f64 1/24 (PI.f64))) (PI.f64)))))) (+.f64 (.f64 1/2 (.f64 f (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))))))
(fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 -3/4 (.f64 (.f64 (PI.f64) 0) (.f64 (PI.f64) (.f64 (PI.f64) 1/12))) (fma.f64 3/2 (.f64 (PI.f64) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 0) (PI.f64))) (.f64 -1/48 (.f64 (PI.f64) (.f64 (PI.f64) 0))))) (.f64 1/4 (pow.f64 (.f64 (PI.f64) 0) 3))))) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 -1/4 (pow.f64 (.f64 (PI.f64) 0) 2) (.f64 1/2 (.f64 (PI.f64) (.f64 (PI.f64) 1/12))))) (fma.f64 1/2 (.f64 f (*.f64 (PI.f64) 0)) (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(fma.f64 1/6 (.f64 (pow.f64 f 3) (fma.f64 3/2 (+.f64 (.f64 (PI.f64) (/.f64 0 (PI.f64))) 0) 0)) (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0))))
(fma.f64 1/6 (.f64 (pow.f64 f 3) (+.f64 (+.f64 0 (/.f64 0 (PI.f64))) 0)) (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 f (.f64 f (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0))) (*.f64 f 0))))
(+.f64 (.f64 3 (log.f64 (/.f64 1 f))) (log.f64 (.f64 192 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 3)))))
(fma.f64 3 (neg.f64 (log.f64 f)) (log.f64 (.f64 192 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (*.f64 f (PI.f64)))) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (log.f64 f) -3) (log.f64 (.f64 192 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (log.f64 f) -3) (log.f64 (.f64 192 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4)) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 3 (log.f64 (/.f64 1 f))) (log.f64 (.f64 192 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (pow.f64 (PI.f64) 3))))) (.f64 96 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2)))))
(-.f64 (fma.f64 3 (neg.f64 (log.f64 f)) (log.f64 (.f64 192 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64)))) (pow.f64 (PI.f64) 3))))) (/.f64 96 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 (log.f64 f) -3) (+.f64 (log.f64 (.f64 192 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (pow.f64 (PI.f64) 3)))) (/.f64 -96 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 (log.f64 f) -3) (+.f64 (log.f64 (.f64 192 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 (.f64 f (PI.f64))) 1/4)) (pow.f64 (PI.f64) 3)))) (/.f64 -96 (.f64 f (.f64 f (pow.f64 (PI.f64) 2))))))
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(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (neg.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -4)) (neg.f64 (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64)))) 1)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))) 2)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))) 3)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64)))) 3) 1/3)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64)))) 2))
(sqrt.f64 (pow.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))))) 2))
(fabs.f64 (.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))) 1)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))) (/.f64 -4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))) (/.f64 -4 (PI.f64))) 0))
(log.f64 (+.f64 0 (pow.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))) (/.f64 -4 (PI.f64)))))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64)))) 3))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 3) (pow.f64 (/.f64 -4 (PI.f64)) 3)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 3)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))) 1))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))))
(.f64 (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))) (/.f64 -4 (PI.f64))) -1))
(log.f64 (+.f64 (pow.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))) (/.f64 -4 (PI.f64))) 0))
(log.f64 (+.f64 0 (pow.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f 1/4))) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3)))) (/.f64 -4 (PI.f64)))))

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.37%	(*.f64 (PI.f64) f)
✓	0.71%	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series31.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
13.0ms	f	@	0	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
12.0ms	f	@	-inf	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
6.0ms	f	@	inf	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))

rewrite74.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`*-commutative`
794×	`associate-*r/`
758×	`unswap-sqr`
610×	`swap-sqr`
562×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	223	27
2	2676	27

Stop Event

1×	node limit

Counts

1 → 103

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1624×	`distribute-lft-in`
1592×	`distribute-rgt-in`
790×	`associate-/l*`
436×	`unswap-sqr`
406×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	310	4629
1	805	4545
2	3480	4545

Stop Event

1×	node limit

Counts

115 → 164

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.36%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	0.71%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
✓	3.13%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series13.0ms (0.1%)

Counts

3 → 20

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	f	@	0	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
1.0ms	f	@	-inf	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
1.0ms	f	@	inf	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
0.0ms	f	@	-inf	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
0.0ms	f	@	inf	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

rewrite129.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1096×	`associate-/r*`
870×	`distribute-rgt-in`
838×	`distribute-lft-in`
782×	`associate-/l*`
388×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	296	65
2	3827	65

Stop Event

1×	node limit

Counts

3 → 345

Calls

Call 1

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

Outputs

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

simplify165.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1710×	`associate-/l*`
1036×	`associate-/r*`
1014×	`associate-r`
830×	`associate-/l/`
830×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	804	21531
1	2161	21243

Stop Event

1×	node limit

Counts

365 → 526

Calls

Call 1

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

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.59%	(/.f64 (-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f))) (PI.f64))
✓	0.74%	(pow.f64 (cbrt.f64 f) 2)
✓	1.08%	(cbrt.f64 f)
✓	2.48%	(log.f64 (/.f64 (PI.f64) 4))

Compiler

Compiled 94 to 60 computations (36.2% saved)

series14.0ms (0.1%)

Counts

4 → 0

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	f	@	0	(/.f64 (-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f))) (PI.f64))
2.0ms	f	@	-inf	(/.f64 (-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f))) (PI.f64))
1.0ms	f	@	inf	(/.f64 (-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f))) (PI.f64))
0.0ms	f	@	-inf	(pow.f64 (cbrt.f64 f) 2)
0.0ms	f	@	-inf	(cbrt.f64 f)

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`associate-/r*`
442×	`associate-+l+`
396×	`add-sqr-sqrt`
382×	`*-un-lft-identity`
378×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	88
1	391	56
2	5323	56

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

Inputs
(log.f64 (/.f64 (PI.f64) 4))
(cbrt.f64 f)
(pow.f64 (cbrt.f64 f) 2)
(/.f64 (-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f))) (PI.f64))

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

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1206×	`distribute-lft-in`
1138×	`distribute-rgt-in`
874×	`associate-*r/`
670×	`*-commutative`
632×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	3853
1	738	3617
2	2814	3613

Stop Event

1×	node limit

Counts

155 → 214

Calls

Call 1

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

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

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.53%	(/.f64 (pow.f64 (log.f64 f) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))
✓	0.59%	(/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 (pow.f64 (log.f64 f) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))) (PI.f64))
✓	0.85%	(pow.f64 (log.f64 f) 2)
	2.48%	(log.f64 (/.f64 (PI.f64) 4))

Compiler

Compiled 155 to 106 computations (31.6% saved)

series17.0ms (0.1%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	f	@	0	(/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 (pow.f64 (log.f64 f) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))) (PI.f64))
2.0ms	f	@	-inf	(/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 (pow.f64 (log.f64 f) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))) (PI.f64))
1.0ms	f	@	inf	(/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 (pow.f64 (log.f64 f) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))) (PI.f64))
0.0ms	f	@	0	(pow.f64 (log.f64 f) 2)
0.0ms	f	@	-inf	(pow.f64 (log.f64 f) 2)

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`add-sqr-sqrt`
430×	`*-un-lft-identity`
422×	`pow1`
418×	`add-exp-log`
412×	`add-cbrt-cube`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	117
1	434	113
2	6582	77

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

Inputs

(pow.f64 (log.f64 f) 2)

(/.f64 (-.f64 (/.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 (pow.f64 (log.f64 f) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))) (PI.f64))

(/.f64 (pow.f64 (log.f64 f) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))

Outputs

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

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

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

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1320×	`associate-*r/`
1042×	`distribute-lft-in`
1000×	`distribute-rgt-in`
898×	`unswap-sqr`
890×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	244	5800
1	595	5574
2	2359	5574

Stop Event

1×	node limit

Counts

120 → 145

Calls

Call 1

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

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

eval935.0ms (4.8%)

Compiler: Compiled 47183 to 31714 computations (32.8% saved)

prune589.0ms (3%)

Pruning

24 alts after pruning (20 fresh and 4 done)

	Pruned	Kept	Total
New	1615	10	1625
Fresh	7	10	17
Picked	1	0	1
Done	2	4	6
Total	1625	24	1649

Error

2.27%

Counts

1649 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	98.41%	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
▶	70.92%	(/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f))))
	4.16%	(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (.f64 (PI.f64) (*.f64 1/2 f)))) -4)))
✓	86.42%	(/.f64 -2 (PI.f64))
	5.5%	(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (.f64 (PI.f64) (*.f64 1/2 f))))) 3) (/.f64 -4 (PI.f64)))
✓	3.21%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	4.18%	(.f64 (+.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) f)) (.f64 3 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)))))) (/.f64 -4 (PI.f64)))
	3.39%	(*.f64 (+.f64 (log.f64 4) (-.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 f))) (/.f64 -4 (PI.f64)))
▶	3.03%	(.f64 (.f64 (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0))) 1) (/.f64 -4 (PI.f64)))
	3.3%	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
✓	97.14%	(.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)))
▶	3.28%	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
✓	70.92%	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
	4.34%	(.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64))) 3) 1/3))
	3.59%	(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64)))) 2))
	4.64%	(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64)))) 3))
	3.41%	(*.f64 -4 (/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 f) 2) (pow.f64 (log.f64 (/.f64 4 (PI.f64))) 2)) (-.f64 (log.f64 (/.f64 (PI.f64) 4)) (log.f64 f))) (PI.f64)))
	3.26%	(*.f64 -4 (/.f64 (-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (pow.f64 (pow.f64 f 1/3) 2))) (log.f64 (cbrt.f64 f))) (PI.f64)))
▶	3.3%	(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 3 (log.f64 (cbrt.f64 f)))) (PI.f64)))
	3.17%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	4.29%	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64))))))
▶	4.31%	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64))))))
	3.62%	(.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64))) 3)))
	4.59%	(cbrt.f64 (.f64 (pow.f64 (/.f64 -4 (PI.f64)) 3) (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f) (pow.f64 (pow.f64 (exp.f64 1/4) (PI.f64)) f)) (.f64 (PI.f64) (*.f64 1/2 f)))) 3)))

Compiler

Compiled 792 to 651 computations (17.8% saved)

localize125.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.36%	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	0.71%	(.f64 (.f64 (+.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (fma.f64 1/2 (.f64 (.f64 f f) (fma.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) 1/12) 0)) (.f64 f 0))) 1) (/.f64 -4 (PI.f64)))
✓	1.56%	(*.f64 (pow.f64 (PI.f64) 2) 1/12)
	3.13%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 163 to 115 computations (29.4% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

636×	`associate-+l+`
550×	`add-sqr-sqrt`
530×	`*-un-lft-identity`
526×	`pow1`
514×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	96
1	607	86
2	7022	86

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs

(*.f64 (pow.f64 (PI.f64) 2) 1/12)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (sqrt.f64 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (/.f64 4 (PI.f64)) (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 (PI.f64)) (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2)))))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))) (*.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (pow.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) 2)) (/.f64 4 (PI.f64))) (-.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) 3)) (/.f64 4 (PI.f64))) (+.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (*.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) (-.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))))) (neg.f64 (PI.f64)))))) (#(struct:change 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(2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) 3)) 4) (*.f64 (+.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (*.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) (-.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (pow.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) 2))) (*.f64 (neg.f64 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 3) (pow.f64 (*.f64 1/2 (*.f64 f (*.f64 f (*.f64 1/24 (pow.f64 (PI.f64) 2))))) 3))) (*.f64 (neg.f64 (PI.f64)) (+.f64 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simplify107.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1386×	`associate-/l*`
1034×	`*-commutative`
978×	`associate-/r*`
858×	`distribute-lft-in`
816×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	5845
1	579	5633
2	2272	5591

Stop Event

1×	node limit

Counts

69 → 100

Calls

Call 1

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

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

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.37%	(*.f64 (PI.f64) f)
✓	0.4%	(/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f))))
✓	0.56%	(/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f)))

Compiler

Compiled 25 to 8 computations (68% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`associate-*r/`
1134×	`associate-/r*`
1064×	`*-commutative`
822×	`associate-*l/`
654×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	229	48
2	2891	48

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

Outputs

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(expm1.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))))

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1198×	`distribute-lft-in`
1118×	`*-commutative`
1100×	`distribute-rgt-in`
994×	`associate-/r/`
784×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	4171
1	789	4077
2	2857	4073

Stop Event

1×	node limit

Counts

137 → 143

Calls

Call 1

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

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1%	(log.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64))))
✓	0.37%	(.f64 f (.f64 (PI.f64) 1/4))
✓	0.59%	(/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64)))
✓	1.59%	(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64)))))

Compiler

Compiled 64 to 41 computations (35.9% saved)

series95.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	f	@	0	(log.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64))))
20.0ms	f	@	-inf	(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64)))))
18.0ms	f	@	-inf	(log.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64))))
18.0ms	f	@	inf	(log.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64))))
10.0ms	f	@	0	(exp.f64 (log.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (neg.f64 (PI.f64)))))

rewrite142.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`*-commutative`
936×	`associate-/r*`
642×	`associate-*r/`
590×	`associate-/l*`
452×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	112
1	275	100
2	3338	100

Stop Event

1×	node limit

Counts

4 → 407

Calls

Call 1

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

Outputs
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simplify242.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

802×	`associate-/l*`
638×	`associate-/l/`
606×	`*-commutative`
566×	`+-commutative`
530×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	676	17759
1	1683	16351
2	6210	16307

Stop Event

1×	node limit

Counts

455 → 438

Calls

Call 1

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.52%	(*.f64 3 (log.f64 (cbrt.f64 f)))
✓	0.59%	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 3 (log.f64 (cbrt.f64 f)))) (PI.f64))
	1.08%	(cbrt.f64 f)
	3.13%	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 59 to 36 computations (39% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`associate-*l/`
1580×	`associate-/r*`
1444×	`associate-/l*`
318×	`add-sqr-sqrt`
306×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	317	32
2	4141	32

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 f)) (log.f64 (pow.f64 (cbrt.f64 f) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 f) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 f)) (log.f64 (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 f) 2)) (log.f64 (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 f) 2)) (log.f64 (pow.f64 f 1/6))) (log.f64 (pow.f64 f 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 f) 2)) (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 f)) 2))) (log.f64 (cbrt.f64 (cbrt.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 f) 2)) 0) (log.f64 (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 f))) (log.f64 (sqrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 f) 2))) (log.f64 (cbrt.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 f) 2)) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 f))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 f)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 f) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 f)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 f 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 f) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 f 1))))))

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

816×	`associate-+r-`
662×	`+-commutative`
614×	`unswap-sqr`
574×	`associate-*r/`
516×	`associate-+l-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	160	1898
1	353	1378
2	1264	1378
3	5847	1378

Stop Event

1×	node limit

Counts

62 → 81

Calls

Call 1

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

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

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.49%	(/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))
✓	0.63%	(/.f64 (/.f64 4 (PI.f64)) f)
✓	0.68%	(*.f64 f (pow.f64 (PI.f64) 2))
✓	0.71%	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 111 to 78 computations (29.7% saved)

series5.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	-inf	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (.f64 1/8 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(*.f64 f (pow.f64 (PI.f64) 2))
0.0ms	f	@	inf	(*.f64 f (pow.f64 (PI.f64) 2))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`associate-/l/`
456×	`add-sqr-sqrt`
440×	`*-un-lft-identity`
436×	`pow1`
428×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	120
1	491	100
2	6566	100

Stop Event

1×	node limit

Counts

4 → 122

Calls

Call 1

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

Outputs
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simplify86.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1168×	`associate-/r/`
1088×	`associate-/l/`
848×	`distribute-rgt-in`
848×	`distribute-lft-in`
462×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	4820
1	930	4516
2	3869	4494

Stop Event

1×	node limit

Counts

158 → 207

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/8 (.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/8 (.f64 (pow.f64 f 2) (PI.f64)))))
(+.f64 (.f64 -1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/8 (.f64 (pow.f64 f 2) (PI.f64))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64)))
(-.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64)))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64)))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(/.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 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 (exp.f64 (log1p.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))))) 1)
(/.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) -1/4))
(/.f64 1 (/.f64 (PI.f64) (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4)))
(/.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4) (PI.f64))
(/.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 4) (neg.f64 (PI.f64)))
(/.f64 (.f64 4 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4) 1) (PI.f64))
(/.f64 (/.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(/.f64 (neg.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) -4)) (neg.f64 (PI.f64)))
(pow.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 1)
(pow.f64 (sqrt.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 3)
(pow.f64 (pow.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 2))
(log.f64 (pow.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64)))) 1))
(cbrt.f64 (pow.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64))) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 3) (pow.f64 (/.f64 4 (PI.f64)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 4 (PI.f64)) 3) (pow.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) 3)))
(expm1.f64 (log1p.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (log.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))) 1))
(log1p.f64 (-.f64 (pow.f64 (fma.f64 1/8 (/.f64 f (/.f64 1 (PI.f64))) (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 f (pow.f64 (PI.f64) 2)))) 1)
(pow.f64 (*.f64 f (pow.f64 (PI.f64) 2)) 1)
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 f)) 2)
(pow.f64 (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2))) 3)
(pow.f64 (pow.f64 (*.f64 f (pow.f64 (PI.f64) 2)) 3) 1/3)
(sqrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f)))
(log.f64 (pow.f64 (exp.f64 f) (pow.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 f (pow.f64 (PI.f64) 2)))))
(cbrt.f64 (pow.f64 (*.f64 f (pow.f64 (PI.f64) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (pow.f64 (PI.f64) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) 2) 3) (pow.f64 f 3)))
(expm1.f64 (log1p.f64 (*.f64 f (pow.f64 (PI.f64) 2))))
(exp.f64 (log.f64 (*.f64 f (pow.f64 (PI.f64) 2))))
(exp.f64 (.f64 (log.f64 (.f64 f (pow.f64 (PI.f64) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 f (pow.f64 (PI.f64) 2))))
(+.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0)
(+.f64 0 (/.f64 4 (*.f64 (PI.f64) f)))
(-.f64 (/.f64 4 (*.f64 (PI.f64) f)) 0)
(-.f64 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 1)
(.f64 4 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 4 (.f64 (/.f64 1 (PI.f64)) (/.f64 1 f)))
(.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(.f64 (sqrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 1 f)))
(.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (/.f64 2 (.f64 f (sqrt.f64 (PI.f64)))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) (pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (/.f64 1 f)))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(.f64 (/.f64 1 (sqrt.f64 f)) (/.f64 4 (.f64 (PI.f64) (sqrt.f64 f))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 f) 2)) (/.f64 4 (.f64 (cbrt.f64 f) (PI.f64))))
(.f64 (/.f64 4 (sqrt.f64 f)) (/.f64 1 (.f64 (PI.f64) (sqrt.f64 f))))
(*.f64 (/.f64 4 (pow.f64 (cbrt.f64 f) 2)) (/.f64 (/.f64 1 (PI.f64)) (cbrt.f64 f)))
(.f64 (/.f64 (/.f64 2 (sqrt.f64 (PI.f64))) (pow.f64 (cbrt.f64 f) 2)) (/.f64 2 (.f64 (cbrt.f64 f) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) f))
(*.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (sqrt.f64 f)) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f)))
(.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) -1)
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(neg.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.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 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(expm1.f64 (log1p.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (/.f64 1 (PI.f64))))) 1)
(.f64 f (.f64 (pow.f64 (PI.f64) 2) (/.f64 1 (PI.f64))))
(*.f64 f (/.f64 1 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(.f64 (.f64 f (pow.f64 (PI.f64) 2)) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 f (/.f64 1 (PI.f64))) 1)
(*.f64 1 (/.f64 f (/.f64 1 (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(.f64 (.f64 (PI.f64) (sqrt.f64 f)) (.f64 (.f64 (PI.f64) (sqrt.f64 f)) (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 2)) (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) (.f64 (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2))) (/.f64 1 (PI.f64))))
(.f64 (/.f64 1 (PI.f64)) (.f64 f (pow.f64 (PI.f64) 2)))
(.f64 (.f64 f (neg.f64 (pow.f64 (PI.f64) 2))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (.f64 f (pow.f64 (PI.f64) 2)) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 f (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 f 1) (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (/.f64 f (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 f (PI.f64)) (pow.f64 (PI.f64) 2))
(*.f64 (/.f64 f (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 f (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 f (PI.f64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 f (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 f)) 1) (/.f64 (*.f64 (PI.f64) (sqrt.f64 f)) (PI.f64)))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (*.f64 (PI.f64) (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) 1) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (sqrt.f64 (PI.f64))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (*.f64 f f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 1)
(pow.f64 (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 3)
(pow.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (PI.f64) f)) -1)
(neg.f64 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 2))
(log.f64 (exp.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (/.f64 1 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 f (pow.f64 (PI.f64) 2)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (/.f64 f (/.f64 1 (PI.f64)))))

Outputs
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/8 (.f64 (pow.f64 f 2) (PI.f64))))
(fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (.f64 (.f64 -1/8 (*.f64 f f)) (PI.f64)))
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (PI.f64) (.f64 -1/8 (.f64 f f))))
(+.f64 (.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/8 (.f64 (pow.f64 f 2) (PI.f64)))))
(fma.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (.f64 (.f64 -1/8 (.f64 f f)) (PI.f64))))
(fma.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (PI.f64) (.f64 -1/8 (*.f64 f f)))))
(+.f64 (.f64 -1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.f64 (.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/8 (.f64 (pow.f64 f 2) (PI.f64))))))
(fma.f64 -1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (.f64 (.f64 -1/8 (*.f64 f f)) (PI.f64)))))
(fma.f64 -1/24576 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5)) (fma.f64 1/512 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)) (fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) (.f64 (PI.f64) (.f64 -1/8 (.f64 f f))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(/.f64 (.f64 -4 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64))
(.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (/.f64 (.f64 -4 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)) (/.f64 128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))
(fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 -128 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (/.f64 (.f64 -4 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)) (/.f64 128 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (/.f64 -128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/8 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(+.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (/.f64 (.f64 -4 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (neg.f64 (log.f64 f))))) (PI.f64)) (+.f64 (/.f64 128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 131072/3 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (-.f64 (/.f64 -128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))
(+.f64 (fma.f64 -4 (/.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) 1/8))) (PI.f64)) (/.f64 -128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))) (-.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (*.f64 -1/8 (PI.f64)))) (PI.f64)))
(.f64 -4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (PI.f64) -1/8))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (PI.f64) -1/8))) (PI.f64)) (neg.f64 (/.f64 128 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3)))))
(fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -128 (.f64 (*.f64 f f) (pow.f64 (PI.f64) 3))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64)))) (.f64 128 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(+.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 -4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (PI.f64) -1/8))) (PI.f64)) (neg.f64 (/.f64 128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))))))
(+.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 2048 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 (.f64 -1/8 (PI.f64)))) (PI.f64)))) (+.f64 (.f64 128 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))) (.f64 131072/3 (/.f64 1 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(+.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (.f64 -4 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 (.f64 (PI.f64) -1/8))) (PI.f64))) (+.f64 (/.f64 128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3))) (/.f64 131072/3 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7))))))
(+.f64 (/.f64 2048 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))) (-.f64 (fma.f64 -4 (/.f64 (-.f64 (log.f64 (.f64 (PI.f64) -1/8)) (log.f64 (/.f64 -1 f))) (PI.f64)) (/.f64 -128 (.f64 (.f64 f f) (pow.f64 (PI.f64) 3)))) (/.f64 131072/3 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))))
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(/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (/.f64 (sqrt.f64 f) (/.f64 (cbrt.f64 (/.f64 4 (PI.f64))) (sqrt.f64 f))))
(/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (*.f64 (/.f64 (sqrt.f64 f) (cbrt.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 f)))
(.f64 (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)) (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f))))
(.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 f) 2)))
(/.f64 (cbrt.f64 (/.f64 16 (pow.f64 (PI.f64) 2))) (/.f64 (pow.f64 (cbrt.f64 f) 2) (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (sqrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))) 3)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (.f64 f (.f64 (PI.f64) -1/4)) -1)
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(/.f64 (/.f64 4 (neg.f64 f)) (PI.f64))
(/.f64 -4 (*.f64 f (PI.f64)))
(pow.f64 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)) 1/3)
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3)))
(neg.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(/.f64 (/.f64 4 (neg.f64 f)) (PI.f64))
(/.f64 -4 (*.f64 f (PI.f64)))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(sqrt.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2))
(fabs.f64 (/.f64 4 (*.f64 f (PI.f64))))
(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 (/.f64 64 (pow.f64 (*.f64 (PI.f64) f) 3)))
(cbrt.f64 (/.f64 64 (pow.f64 (*.f64 f (PI.f64)) 3)))
(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)))
(exp.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1))
(/.f64 4 (*.f64 f (PI.f64)))
(log1p.f64 (expm1.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(/.f64 4 (*.f64 f (PI.f64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 f (/.f64 1 (PI.f64))))) 1)
(*.f64 f (PI.f64))
(.f64 f (.f64 (pow.f64 (PI.f64) 2) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(*.f64 f (/.f64 1 (/.f64 1 (PI.f64))))
(*.f64 f (PI.f64))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(.f64 (.f64 f (pow.f64 (PI.f64) 2)) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(*.f64 (/.f64 f (/.f64 1 (PI.f64))) 1)
(*.f64 f (PI.f64))
(*.f64 1 (/.f64 f (/.f64 1 (PI.f64))))
(*.f64 f (PI.f64))
(*.f64 (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))
(.f64 (.f64 (PI.f64) (sqrt.f64 f)) (.f64 (.f64 (PI.f64) (sqrt.f64 f)) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 f)) 2) (/.f64 1 (PI.f64)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 f)) 2) (PI.f64))
(*.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) (cbrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 2)))
(.f64 (cbrt.f64 (.f64 f (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 2)) (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(.f64 (cbrt.f64 (.f64 f (PI.f64))) (cbrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) (.f64 (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2))) (/.f64 1 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2)))))
(.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (PI.f64)) (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))))
(.f64 (/.f64 1 (PI.f64)) (.f64 f (pow.f64 (PI.f64) 2)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(.f64 (.f64 f (neg.f64 (pow.f64 (PI.f64) 2))) (/.f64 1 (neg.f64 (PI.f64))))
(.f64 f (.f64 (neg.f64 (pow.f64 (PI.f64) 2)) (/.f64 1 (neg.f64 (PI.f64)))))
(/.f64 f (/.f64 (neg.f64 (PI.f64)) (neg.f64 (pow.f64 (PI.f64) 2))))
(*.f64 f (/.f64 (neg.f64 (pow.f64 (PI.f64) 2)) (neg.f64 (PI.f64))))
(.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (/.f64 (.f64 f (pow.f64 (PI.f64) 2)) (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (.f64 f (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(*.f64 (/.f64 f 1) (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (/.f64 f (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(*.f64 (/.f64 f (PI.f64)) (pow.f64 (PI.f64) 2))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(*.f64 (/.f64 f (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(*.f64 (/.f64 f (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 f (PI.f64)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(*.f64 (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 f (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 f (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) 2) (/.f64 f (PI.f64)))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 f)) 1) (/.f64 (*.f64 (PI.f64) (sqrt.f64 f)) (PI.f64)))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 f)) 2) (/.f64 1 (PI.f64)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 f)) 2) (PI.f64))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 f)) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (*.f64 (PI.f64) (sqrt.f64 f)) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (.f64 (PI.f64) (sqrt.f64 f)) 2) (/.f64 1 (PI.f64)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 f)) 2) (PI.f64))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) 1) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (PI.f64)))
(.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2)))))
(.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (PI.f64)) (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 f f))) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (sqrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (.f64 (/.f64 1 (PI.f64)) (cbrt.f64 (*.f64 f (pow.f64 (PI.f64) 2)))))
(.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (/.f64 (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))) (PI.f64)))
(.f64 (/.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (PI.f64)) (cbrt.f64 (.f64 f (pow.f64 (PI.f64) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) (*.f64 f f))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (cbrt.f64 (.f64 f (PI.f64)))) (pow.f64 (cbrt.f64 (PI.f64)) 2))
(.f64 (cbrt.f64 (.f64 f (PI.f64))) (/.f64 (cbrt.f64 (.f64 (.f64 f f) (pow.f64 (PI.f64) 4))) (pow.f64 (cbrt.f64 (PI.f64)) 2)))
(pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 1)
(*.f64 f (PI.f64))
(pow.f64 (sqrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 2)
(*.f64 f (PI.f64))
(pow.f64 (cbrt.f64 (/.f64 f (/.f64 1 (PI.f64)))) 3)
(*.f64 f (PI.f64))
(pow.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 3) 1/3)
(*.f64 f (PI.f64))
(pow.f64 (/.f64 1 (*.f64 (PI.f64) f)) -1)
(*.f64 f (PI.f64))
(neg.f64 (/.f64 (*.f64 f (pow.f64 (PI.f64) 2)) (neg.f64 (PI.f64))))
(.f64 f (.f64 (neg.f64 (pow.f64 (PI.f64) 2)) (/.f64 1 (neg.f64 (PI.f64)))))
(/.f64 f (/.f64 (neg.f64 (PI.f64)) (neg.f64 (pow.f64 (PI.f64) 2))))
(*.f64 f (/.f64 (neg.f64 (pow.f64 (PI.f64) 2)) (neg.f64 (PI.f64))))
(sqrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 2))
(sqrt.f64 (pow.f64 (*.f64 f (PI.f64)) 2))
(fabs.f64 (*.f64 f (PI.f64)))
(log.f64 (exp.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 f (/.f64 1 (PI.f64))))))
(*.f64 f (PI.f64))
(cbrt.f64 (pow.f64 (/.f64 f (/.f64 1 (PI.f64))) 3))
(*.f64 f (PI.f64))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 f (pow.f64 (PI.f64) 2)) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))
(exp.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))
(exp.f64 (*.f64 (log.f64 (/.f64 f (/.f64 1 (PI.f64)))) 1))
(*.f64 f (PI.f64))
(log1p.f64 (expm1.f64 (/.f64 f (/.f64 1 (PI.f64)))))
(*.f64 f (PI.f64))

eval649.0ms (3.3%)

Compiler: Compiled 35475 to 24065 computations (32.2% saved)

prune377.0ms (1.9%)

Pruning

26 alts after pruning (20 fresh and 6 done)

	Pruned	Kept	Total
New	1350	17	1367
Fresh	12	3	15
Picked	1	0	1
Done	2	6	8
Total	1365	26	1391

Error

2.27%

Counts

1391 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	2.99%	(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (PI.f64) (.f64 (.f64 -1/12 f) f)))
	98.41%	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
✓	70.92%	(/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f))))
	3.12%	(/.f64 1 (/.f64 (PI.f64) (.f64 (+.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 1/2 (.f64 f (.f64 f (.f64 1/24 (pow.f64 (PI.f64) 2)))))) -4)))
✓	86.42%	(/.f64 -2 (PI.f64))
	3.01%	(+.f64 (.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (.f64 -1 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64))))) (.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64))))
✓	3.21%	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	3.3%	(*.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
✓	97.14%	(.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)))
	3.28%	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (+.f64 (.f64 1/8 (*.f64 f (PI.f64))) 0))) (/.f64 -4 (PI.f64)))
✓	70.92%	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
	4.34%	(*.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3) 1/3))
	3.59%	(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
	3.32%	(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 3 (log.f64 (pow.f64 f 1/3)))) (PI.f64)))
✓	3.3%	(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 3 (log.f64 (cbrt.f64 f)))) (PI.f64)))
	97.34%	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log1p.f64 (-.f64 f 1))) (PI.f64)))
	3.66%	(.f64 -4 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) (PI.f64)))
	3.17%	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	3.3%	(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
	3.2%	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
	3.63%	(.f64 -4 (.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))
	3.25%	(.f64 -4 (.f64 (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) 1/4))) (-.f64 0 (pow.f64 (PI.f64) 2))) (PI.f64)))
	3.21%	(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
	4.29%	(*.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	4.31%	(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	3.62%	(*.f64 -4 (cbrt.f64 (pow.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 3)))

Compiler

Compiled 397 to 322 computations (18.9% saved)

regimes303.0ms (1.6%)

Counts

58 → 1

Calls

Call 1

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

Outputs
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (PI.f64) (.f64 (.f64 -1/12 f) f)))

Calls

6 calls:

120.0ms	(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))))))))
99.0ms	f
27.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
16.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))
6.0ms	(/.f64 (+.f64 (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
2.99%	1	`f`
2.99%	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))))))))`
2.99%	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)))))))`
2.99%	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))))))`
2.99%	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)))))`
2.99%	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1251 to 902 computations (27.9% saved)

regimes24.0ms (0.1%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
3.17%	1	`f`

Compiler

Compiled 371 to 268 computations (27.8% saved)

regimes7.0ms (0%)

Accuracy

Total -17.6b remaining (-38.8%)

Threshold costs -17.6b (-38.8%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
70.92%	1	`f`

Compiler

Compiled 39 to 24 computations (38.5% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	124
1	33	124

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (PI.f64) (.f64 (.f64 -1/12 f) f)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
(/.f64 -2 (PI.f64))

Outputs
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (PI.f64) (.f64 (.f64 -1/12 f) f)))
(fma.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) (.f64 (PI.f64) (.f64 f (.f64 f -1/12))))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (.f64 (PI.f64) f)))
(/.f64 -2 (PI.f64))

Compiler

Compiled 42 to 33 computations (21.4% saved)

soundness321.0ms (1.7%)

Algorithm

3×	egg-herbie

Rules

1386×	`associate-/l*`
1356×	`associate-+r+`
1324×	`associate-*r/`
1130×	`associate-*l/`
1102×	`associate-+l+`

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
0	331	8436
1	874	8036
2	3900	8016
0	199	5845
1	579	5633
2	2272	5591

Stop Event

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

Compiler

Compiled 663 to 490 computations (26.1% saved)

end43.0ms (0.2%)

Compiler: Compiled 39 to 26 computations (33.3% saved)