Details

analyze315.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	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)

sample9.4s (49.5%)

Results

3.1s	4032×	body	1024	invalid
2.9s	3990×	body	1024	valid
1.1s	2080×	body	512	valid
856.0ms	2049×	body	512	invalid
746.0ms	514×	body	2048	valid
448.0ms	1672×	body	256	valid
214.0ms	1015×	body	256	invalid
3.0ms	3×	body	2048	invalid
1.0ms	7×	body	256	unsamplable

Bogosity

preprocess84.0ms (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)

simplify59.0ms (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

62.2b

Counts

9 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	62.2b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))

Status

Error

Program

▶

62.2b

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

Compiler

Compiled 33 to 22 computations (33.3% saved)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	0.2b	(*.f64 (PI.f64) f)
✓	0.7b	(/.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)))))
✓	7.6b	(-.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)

series72.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
36.0ms	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))))

rewrite159.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 242

Calls

Call 1

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

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

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))

eval343.0ms (1.8%)

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

prune106.0ms (0.6%)

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

1.2b

Counts

358 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
▶	55.3b	(/.f64 -2 (PI.f64))
▶	1.7b	(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.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)) (PI.f64))) (.f64 -2 (/.f64 (.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)))))))) (PI.f64)))))
▶	45.3b	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
✓	62.2b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
▶	1.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))) (/.f64 -4 (PI.f64)))
	1.9b	(.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)))
	1.9b	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
▶	1.8b	(.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 639 to 504 computations (21.1% saved)

localize213.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	1.0b	(*.f64 1/384 (pow.f64 (PI.f64) 3))
✓	1.0b	(*.f64 -1/384 (pow.f64 (PI.f64) 3))
✓	1.0b	(pow.f64 (PI.f64) 3)

Compiler

Compiled 397 to 289 computations (27.2% saved)

series0.0ms (0%)

Counts: 4 → 0

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1940×	`add-sqr-sqrt`
1886×	`*-un-lft-identity`
1788×	`add-cube-cbrt`
1776×	`add-cbrt-cube`
226×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	254	48
2	2756	48

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

Inputs
(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) 5)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)))) (#(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 (pow.f64 (cbrt.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 (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) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))))) (#(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 exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)))) (#(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 pow.f64 (.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (cbrt.f64 1/384)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/147456 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) 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 exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))))) (#(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 (exp.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)))) (#(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 pow.f64 (.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (cbrt.f64 1/384)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/147456 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384) 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 exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))))) (#(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 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 5 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))))))

simplify69.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate-+r+`
1354×	`associate-+l+`
520×	`associate-/r*`
474×	`associate-/l*`
470×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	799
1	252	799
2	907	799
3	2745	799

Stop Event

1×	node limit

Counts

63 → 54

Calls

Call 1

Inputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.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 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 2) (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) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)
(sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))
(log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 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)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)
(sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))
(log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 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)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(sqrt.f64 (pow.f64 (PI.f64) 10))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.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 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) 1) (PI.f64))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 3) (PI.f64))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 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)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(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)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))
(*.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 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))) 1)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 1)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (sqrt.f64 1/384) (pow.f64 (PI.f64) 3/2)) 2)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/384)) 3)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3) 1/3)
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(sqrt.f64 (*.f64 1/147456 (pow.f64 (PI.f64) 6)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (pow.f64 (exp.f64 1/384) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384))))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/384) 3))
(*.f64 (pow.f64 (PI.f64) 3) -1/384)
(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)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) -1/384)) 1))
(*.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 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 5))) 1)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(pow.f64 (PI.f64) 5)
(*.f64 1 (pow.f64 (PI.f64) 5))
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 5/2) (pow.f64 (PI.f64) 5/2))
(pow.f64 (PI.f64) 5)
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 10)) (cbrt.f64 (pow.f64 (PI.f64) 5)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) 5)) (cbrt.f64 (pow.f64 (PI.f64) 10)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 5) (pow.f64 (sqrt.f64 (PI.f64)) 5))
(pow.f64 (sqrt.f64 (PI.f64)) 10)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 5) (pow.f64 (cbrt.f64 (PI.f64)) 5))
(sqrt.f64 (pow.f64 (PI.f64) 10))
(pow.f64 (PI.f64) 5)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 5))))
(pow.f64 (PI.f64) 5)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 5) 3))
(pow.f64 (PI.f64) 5)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)
(exp.f64 (*.f64 5 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 5)
(exp.f64 (.f64 (.f64 5 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 5)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 5)))
(pow.f64 (PI.f64) 5)

localize3.0ms (0%)

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 43 to 32 computations (25.6% saved)

series58.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
11.0ms	f	@	0	(.f64 (log.f64 (/.f64 (/.f64 -2 (.f64 (PI.f64) -2)) f)) (/.f64 -4 (PI.f64)))
9.0ms	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	@	inf	(log.f64 (/.f64 (/.f64 -2 (*.f64 (PI.f64) -2)) f))

rewrite88.0ms (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))))))

simplify106.0ms (0.6%)

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

Outputs
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(.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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(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))))

localize44.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.2b

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

✓

0.3b

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

✓

2.0b

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

Compiler

Compiled 97 to 71 computations (26.8% saved)

series48.0ms (0.3%)

Counts

3 → 16

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	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))
11.0ms	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))
7.0ms	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))
3.0ms	f	@	0	(+.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)))

rewrite104.0ms (0.5%)

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)))

Outputs

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(#(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))))))

simplify155.0ms (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))))))
(+.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 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 (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)
(+.f64 (log.f64 2) (log.f64 (/.f64 -1 (*.f64 (PI.f64) 1/2))))
(+.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)))
(+.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)))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 0 (log.f64 (/.f64 (PI.f64) 4)))
(-.f64 (log.f64 -2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))) 1)
(-.f64 (+.f64 0 (log.f64 2)) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 0 (log.f64 -2)) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))) 1)
(-.f64 (-.f64 (log.f64 2) (log.f64 (PI.f64))) (log.f64 1/2))
(-.f64 (-.f64 (log.f64 2) 0) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (-.f64 (log.f64 2) (log.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))))
(-.f64 (-.f64 (log.f64 2) (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2))) (log.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (PI.f64))) (log.f64 1/2))
(-.f64 (-.f64 (log.f64 -2) 0) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/2)) 2))) (log.f64 (cbrt.f64 (.f64 (PI.f64) 1/2))))
(*.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 1)
(*.f64 1 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (sqrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) 2) (cbrt.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))
(/.f64 (-.f64 (.f64 (log.f64 2) (log.f64 2)) (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2)))) (+.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (log.f64 2)))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 (.f64 (PI.f64) 1/2)) 3)) (+.f64 (.f64 (log.f64 2) (log.f64 2)) (+.f64 (.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 (.f64 (PI.f64) 1/2))) (.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2))))))
(pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 1)
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(pow.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
(sqrt.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2))
(cbrt.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 3))
(expm1.f64 (log1p.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))
(exp.f64 (log.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4)))) 1))
(log1p.f64 (-.f64 (/.f64 1 (/.f64 (PI.f64) 4)) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (PI.f64)))) 1)
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (PI.f64)) 1)
(*.f64 1 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (PI.f64)))
(.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 1 (PI.f64))))
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(.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) 2)) (.f64 (cbrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 1 (PI.f64))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (PI.f64))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (PI.f64))) 2) (cbrt.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))
(*.f64 (neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 1 (neg.f64 (PI.f64))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 1 (neg.f64 (PI.f64))) (neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) 1) (/.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (PI.f64)) (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (cbrt.f64 (PI.f64))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) 2)) (sqrt.f64 (PI.f64))) (/.f64 (cbrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (sqrt.f64 (PI.f64))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) 2)) (PI.f64)) (cbrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))
(*.f64 (/.f64 1 (/.f64 (PI.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)))))
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(.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 3) (pow.f64 (log.f64 f) 3)) (-.f64 (.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2)) (.f64 (.f64 (log.f64 f) (neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))) (.f64 (log.f64 f) (neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))))) (+.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 (-.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 3) (pow.f64 (log.f64 f) 3)) (+.f64 (pow.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) 3) (pow.f64 (.f64 (log.f64 f) (neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))) 3))) (+.f64 (.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2)) (-.f64 (.f64 (.f64 (log.f64 f) (neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))) (.f64 (log.f64 f) (neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))) (.f64 (pow.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 2) (.f64 (log.f64 f) (neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))))))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) 1)
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))
(/.f64 1 (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))
(/.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 1 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))))
(/.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (*.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))))
(/.f64 (cbrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (/.f64 1 (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 1 (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)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) (*.f64 (cbrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))))
(/.f64 (pow.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) 2) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))))
(/.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 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 3) (pow.f64 (log.f64 f) 3)) (/.f64 1 (/.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 (-.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 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) 2) (.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f))) (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))
(/.f64 (sqrt.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))) (sqrt.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 (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 (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 (*.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 (*.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 (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 (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 (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 (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 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)))))
(pow.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) 1)
(pow.f64 (sqrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) 3)
(pow.f64 (pow.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) 2))
(log.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) f))
(log.f64 (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) f))
(log.f64 (+.f64 1 (-.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) f) 1)))
(cbrt.f64 (pow.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4))) 3))
(expm1.f64 (log1p.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))
(exp.f64 (log.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) 4)))) 1))
(log1p.f64 (-.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) f) 1))
(fma.f64 -1 (log.f64 f) (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(fma.f64 (log.f64 f) -1 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(fma.f64 1 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f))
(fma.f64 1 (log.f64 f) (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(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))
(/.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 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 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (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 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (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 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (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 (neg.f64 (fma.f64 -1 (log.f64 (/.f64 -1 f)) (log.f64 -1))) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f)))) (PI.f64))
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(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 f))))
(+.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) 0)
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 2) (log.f64 (/.f64 -1 (*.f64 (PI.f64) 1/2))))
(+.f64 (log.f64 2) (log.f64 (/.f64 (/.f64 -1 (PI.f64)) 1/2)))
(+.f64 (log.f64 2) (log.f64 (/.f64 -2 (PI.f64))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (*.f64 (PI.f64) 1/2))))
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 0 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))))
(neg.f64 (log.f64 (/.f64 (PI.f64) 4)))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 4)))) (log.f64 (/.f64 1 (sqrt.f64 (/.f64 (PI.f64) 4)))))
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(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))))

localize401.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 -1/384 (pow.f64 (PI.f64) 3))
	1.0b	(pow.f64 (PI.f64) 3)
✓	1.0b	(-.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))))
	2.0b	(log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))

Compiler

Compiled 1200 to 926 computations (22.8% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`add-sqr-sqrt`
548×	`*-un-lft-identity`
544×	`add-exp-log`
544×	`add-cbrt-cube`
544×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	75
1	592	65

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs

(-.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))))

Outputs

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simplify127.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1072×	`*-commutative`
786×	`+-commutative`
646×	`associate-*r/`
618×	`distribute-lft-neg-in`
590×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	5448
1	417	4898
2	2331	3686
3	7961	3686

Stop Event

1×	node limit

Counts

50 → 90

Calls

Call 1

Inputs
(+.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(+.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
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(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 1 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 (neg.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) (.f64 (PI.f64) 1/2))) (/.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2)))))
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(+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2)))) 1)
(.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2)))))
(.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 2) (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (/.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(.f64 (-.f64 (pow.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) 3) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (/.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(.f64 (+.f64 (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (/.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) (.f64 (PI.f64) 1/2))) (-.f64 (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (/.f64 (.f64 (pow.f64 (PI.f64) 3/2) (sqrt.f64 1/192)) (*.f64 (PI.f64) 1/2))))
(/.f64 1 (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (/.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (.f64 (PI.f64) 1/2) 3))) (-.f64 (pow.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) 3) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 3))))
(/.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) 3) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 3)) (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (/.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (.f64 (PI.f64) 1/2) 3))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) 3) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 3)) (+.f64 (pow.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) 2) (-.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 6) 1/36864) (pow.f64 (.f64 (PI.f64) 1/2) 4)) (/.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (*.f64 (PI.f64) 1/2) 3)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 3) (pow.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 3)) (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (-.f64 (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))))
(/.f64 (+.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(/.f64 (-.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (pow.f64 (*.f64 (PI.f64) 1/2) 3))
(/.f64 (neg.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2)) (neg.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) 3) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (/.f64 (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (pow.f64 (.f64 (PI.f64) 1/2) 3)))))
(pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 3)
(pow.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2))
(log.f64 (exp.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(exp.f64 (log.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) 1/16 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 1 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) 2)) (cbrt.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 2) (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))

Outputs
(+.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(+.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 3 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) -2) 1/64)) (.f64 1/16 (/.f64 (PI.f64) 1/2)))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 3 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) -2) 1/64)) (.f64 1/16 (/.f64 (PI.f64) 1/2)))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(+.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))))
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(/.f64 (-.f64 (/.f64 (pow.f64 (.f64 (/.f64 1/16 (PI.f64)) (pow.f64 (PI.f64) 2)) 3) 1/8) (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) 3)) (+.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (*.f64 1/16 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 3)) 1/24)))
(/.f64 (-.f64 (pow.f64 (.f64 1/16 (/.f64 (PI.f64) 1/2)) 3) (.f64 1/7077888 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (.f64 (PI.f64) 1/2) -2)) 3))) (+.f64 (pow.f64 (fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (.f64 1/16 (/.f64 (PI.f64) 1/2))) 2) (.f64 1/384 (pow.f64 (PI.f64) 2))))
(pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 1)
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(pow.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 2)
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 3)
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(pow.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 3) 1/3)
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(sqrt.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 2))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(log.f64 (exp.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(cbrt.f64 (pow.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) 3))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(expm1.f64 (log1p.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(exp.f64 (log.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))) 1))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(log1p.f64 (expm1.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) 1/16 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(fma.f64 1 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) -2) (*.f64 1/16 (/.f64 (PI.f64) 1/2)))
(fma.f64 1 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 3 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) -2) 1/64)) (.f64 1/16 (/.f64 (PI.f64) 1/2)))
(fma.f64 (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2)))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 1/16 (.f64 (/.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/2))) (/.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 1/2))))))
(fma.f64 (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (sqrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 3 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) -2) 1/64)) (.f64 1/16 (/.f64 (PI.f64) 1/2)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2)) 2)) (cbrt.f64 (.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 1/16 (/.f64 (PI.f64) 1/2)) 2)) (cbrt.f64 (.f64 1/16 (/.f64 (PI.f64) 1/2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) 1/2) -2))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) 2) (cbrt.f64 (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (fma.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2))))))
(fma.f64 (/.f64 1/16 (PI.f64)) (/.f64 (pow.f64 (PI.f64) 2) 1/2) (.f64 3 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 (.f64 (PI.f64) 1/2) -2)))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) -2) 1/64)) (.f64 1/16 (/.f64 (PI.f64) 1/2)))

eval1.3s (7.1%)

Compiler: Compiled 53327 to 39687 computations (25.6% saved)

prune198.0ms (1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	906	9	915
Fresh	0	3	3
Picked	1	0	1
Done	2	3	5
Total	909	15	924

Error

1.1b

Counts

924 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
✓	55.3b	(/.f64 -2 (PI.f64))
▶	45.3b	(/.f64 -4 (/.f64 (PI.f64) (neg.f64 (log.f64 (*.f64 (PI.f64) f)))))
	1.8b	(+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1 (log.f64 f))) (PI.f64))) (+.f64 (.f64 -2 (/.f64 (.f64 (+.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 0 (.f64 1/16 (/.f64 (PI.f64) 1/2))))) (pow.f64 f 2)) (PI.f64))) (.f64 -2 (/.f64 (.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)))))))) (PI.f64)))))
✓	62.2b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	1.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))) (/.f64 -4 (PI.f64)))
	1.9b	(.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)))
▶	1.9b	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
▶	45.3b	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
	2.0b	(*.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)))
	1.9b	(*.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)))
▶	1.9b	(*.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)))
	1.8b	(*.f64 -4 (/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (PI.f64)))
	1.9b	(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 3 (log.f64 (cbrt.f64 f)))) (PI.f64)))
▶	1.8b	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))

Compiler

Compiled 714 to 559 computations (21.7% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 25 computations (32.4% saved)

series78.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
56.0ms	f	@	-inf	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
11.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
10.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
0.0ms	f	@	0	(/.f64 (/.f64 4 (PI.f64)) f)
0.0ms	f	@	inf	(/.f64 (/.f64 4 (PI.f64)) f)

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`associate-/l*`
1124×	`*-commutative`
752×	`unswap-sqr`
676×	`swap-sqr`
370×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	233	42
2	3051	42

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

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

Outputs

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1000×	`unswap-sqr`
994×	`associate-/r*`
820×	`distribute-lft-in`
780×	`distribute-rgt-in`
748×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	324	5382
1	888	4524
2	2705	4524

Stop Event

1×	node limit

Counts

160 → 181

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (*.f64 (PI.f64) f))
	0.2b	(*.f64 (PI.f64) f)
✓	0.4b	(.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

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	f	@	0	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
11.0ms	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)))
0.0ms	f	@	0	(log.f64 (*.f64 (PI.f64) f))
0.0ms	f	@	-inf	(log.f64 (*.f64 (PI.f64) f))

rewrite81.0ms (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	40
1	223	40
2	2676	40

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs

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

simplify96.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-/l*`
780×	`times-frac`
616×	`associate-l`
560×	`associate-+r+`
558×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	416	6441
1	1023	6041
2	6314	6041

Stop Event

1×	node limit

Counts

183 → 227

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 9 computations (71.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`associate-*r/`
1082×	`*-commutative`
894×	`associate-/l*`
840×	`associate-*l/`
460×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	253	48
2	3347	48

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

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

Outputs

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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (sqrt.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (*.f64 (PI.f64) f))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -4) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))))))) (#(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 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 (expm1.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))))))))

simplify115.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1582×	`associate-/r/`
580×	`distribute-lft-neg-in`
544×	`*-commutative`
500×	`distribute-rgt-neg-in`
490×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	6993
1	1166	6753
2	4006	6737

Stop Event

1×	node limit

Counts

201 → 240

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.2b

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

✓

0.3b

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

✓

0.4b

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

Compiler

Compiled 71 to 52 computations (26.8% saved)

series33.0ms (0.2%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
15.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
9.0ms	f	@	0	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
8.0ms	f	@	inf	(.f64 (log.f64 (/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	inf	(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
0.0ms	f	@	-inf	(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`associate-/l*`
796×	`distribute-lft-in`
490×	`associate-/r/`
386×	`add-sqr-sqrt`
368×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	75
1	393	75
2	5072	63

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify113.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1716×	`distribute-lft-in`
766×	`associate-/r*`
736×	`associate-/l*`
626×	`associate-r`
570×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	484	8768
1	1362	6862
2	6005	6862

Stop Event

1×	node limit

Counts

214 → 363

Calls

Call 1

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (sqrt.f64 f))) (log.f64 (sqrt.f64 f)))
✓	0.3b	(-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (sqrt.f64 f)))
✓	0.3b	(/.f64 (-.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 (sqrt.f64 f))) (log.f64 (sqrt.f64 f))) (PI.f64))
✓	1.6b	(log.f64 (/.f64 (PI.f64) 4))

Compiler

Compiled 76 to 42 computations (44.7% saved)

series5.0ms (0%)

Counts

4 → 0

Calls

9 calls:

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

rewrite143.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1786×	`associate-/r*`
1622×	`associate-/l*`
388×	`associate-+l+`
342×	`add-sqr-sqrt`
330×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	142
1	333	82
2	4691	82

Stop Event

1×	node limit

Counts

4 → 357

Calls

Call 1

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

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 (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 (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 1/4) (log.f64 (PI.f64)))))) (#(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 (-.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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simplify194.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1030×	`fma-def`
746×	`associate-+r+`
674×	`+-commutative`
668×	`associate-+l+`
538×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	740	18395
1	1760	17019

Stop Event

1×	node limit

Counts

357 → 541

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

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

eval608.0ms (3.2%)

Compiler: Compiled 33409 to 19039 computations (43% saved)

prune544.0ms (2.9%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	1654	15	1669
Fresh	4	3	7
Picked	1	0	1
Done	2	5	7
Total	1661	23	1684

Error

1.0b

Counts

1684 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
▶	45.3b	(/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f))))
✓	55.3b	(/.f64 -2 (PI.f64))
	1.9b	(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))
✓	62.2b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	1.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))) (/.f64 -4 (PI.f64)))
	1.9b	(.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)))
	62.6b	(.f64 (log.f64 (/.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) 1))) (/.f64 -4 (PI.f64)))
✓	45.3b	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
	2.6b	(.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3) 1/3))
▶	1.8b	(.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) -1))
▶	2.1b	(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 2))
	2.8b	(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 3))
▶	1.8b	(*.f64 -4 (/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (PI.f64)))
	1.9b	(.f64 -4 (/.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
	43.8b	(.f64 -4 (/.f64 (-.f64 (fabs.f64 (log.f64 (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 f))))) (log.f64 (sqrt.f64 f))) (PI.f64)))
	1.9b	(*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 (PI.f64))) (-.f64 (log.f64 4) (log.f64 f))) (PI.f64)))
✓	1.8b	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	1.9b	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
	1.9b	(.f64 -4 (.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (log.f64 f)) (/.f64 -1 (PI.f64))))
	1.9b	(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
▶	2.5b	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
	2.5b	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))

Compiler

Compiled 630 to 515 computations (18.3% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 29 computations (42% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1484×	`associate-*r/`
1426×	`associate-/r*`
1256×	`associate-*l/`
754×	`associate-/l*`
266×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	273	69
2	3327	69

Stop Event

1×	node limit

Counts

3 → 240

Calls

Call 1

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

Outputs

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simplify149.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1720×	`distribute-lft-in`
974×	`associate-/l*`
698×	`times-frac`
538×	`associate-r`
520×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	560	11638
1	1351	10664
2	5444	10664

Stop Event

1×	node limit

Counts

276 → 346

Calls

Call 1

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

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

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 25 to 8 computations (68% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite82.0ms (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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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (PI.f64)) (/.f64 4 (PI.f64))) (*.f64 (log.f64 f) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 f) (/.f64 4 (PI.f64))) (*.f64 (log.f64 (PI.f64)) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 (PI.f64)) 0) (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (log.f64 (PI.f64)) (/.f64 4 (PI.f64)))) (*.f64 1 (*.f64 (log.f64 f) (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 4 (PI.f64)) (log.f64 (sqrt.f64 (*.f64 (PI.f64) f)))) (*.f64 (/.f64 4 (PI.f64)) (log.f64 (sqrt.f64 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 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egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (PI.f64) 4) (log.f64 (*.f64 (PI.f64) f))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 16 (pow.f64 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 4 (PI.f64))) (log.f64 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64))))))))) (#(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 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 (expm1.f64 (*.f64 (log.f64 (*.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))))))))

simplify92.0ms (0.5%)

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

localize35.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f))
✓	0.3b	(/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (PI.f64))
	1.6b	(log.f64 (/.f64 (PI.f64) 4))

Compiler

Compiled 49 to 33 computations (32.7% saved)

series14.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1912×	`associate-*l/`
1628×	`associate-/r*`
1462×	`associate-/l*`
288×	`add-sqr-sqrt`
278×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	283	46
2	3911	46

Stop Event

1×	node limit

Counts

2 → 165

Calls

Call 1

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

Outputs

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simplify143.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1030×	`associate-+l-`
918×	`+-commutative`
858×	`associate-+r-`
668×	`associate--r+`
550×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	9451
1	1108	9027
2	5279	8751

Stop Event

1×	node limit

Counts

189 → 266

Calls

Call 1

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

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) f)
	0.3b	(/.f64 4 (*.f64 (PI.f64) f))
✓	0.3b	(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
✓	1.0b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))

Compiler

Compiled 58 to 33 computations (43.1% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1208×	`associate-/r*`
1206×	`associate-*r/`
1108×	`*-commutative`
844×	`associate-*l/`
678×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	267	54
2	3109	54

Stop Event

1×	node limit

Counts

2 → 223

Calls

Call 1

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

Outputs

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

simplify139.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1236×	`associate-+r+`
1134×	`associate-+l+`
548×	`associate-/l*`
382×	`associate-/l/`
372×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	11209
1	991	9627
2	3950	9519

Stop Event

1×	node limit

Counts

247 → 242

Calls

Call 1

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) f)
	0.3b	(/.f64 4 (*.f64 (PI.f64) f))
	0.3b	(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))
✓	0.5b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2)

Compiler

Compiled 61 to 36 computations (41% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

0.0ms

-inf

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`associate-*r/`
1322×	`associate-*l/`
1250×	`associate-/r*`
732×	`associate-/l*`
266×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	291	27
2	3306	27

Stop Event

1×	node limit

Counts

1 → 145

Calls

Call 1

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

Outputs

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(PI.f64) f))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))) (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) 2) (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) (*.f64 (cbrt.f64 (log.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 (neg.f64 (neg.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (sqrt.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))) (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (neg.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> 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simplify104.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1126×	`*-commutative`
678×	`associate-/l*`
668×	`div-sub`
624×	`distribute-lft-in`
590×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	7371
1	899	6413
2	3441	6399

Stop Event

1×	node limit

Counts

157 → 212

Calls

Call 1

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

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

eval571.0ms (3%)

Compiler: Compiled 31945 to 20133 computations (37% saved)

prune380.0ms (2%)

Pruning

28 alts after pruning (20 fresh and 8 done)

	Pruned	Kept	Total
New	1542	9	1551
Fresh	2	11	13
Picked	1	0	1
Done	1	8	9
Total	1546	28	1574

Error

1.0b

Counts

1574 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
✓	45.3b	(/.f64 4 (/.f64 (PI.f64) (log.f64 (*.f64 (PI.f64) f))))
✓	55.3b	(/.f64 -2 (PI.f64))
	1.9b	(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))
✓	62.2b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	1.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))) (/.f64 -4 (PI.f64)))
	1.9b	(.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)))
	62.6b	(.f64 (log.f64 (/.f64 2 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (*.f64 1/2 f)))) 1))) (/.f64 -4 (PI.f64)))
✓	45.3b	(.f64 (log.f64 (.f64 (PI.f64) f)) (/.f64 4 (PI.f64)))
	2.6b	(.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 3) 1/3))
	62.7b	(.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) (log.f64 (exp.f64 f)))))) -1))
	1.9b	(.f64 -4 (pow.f64 (.f64 (/.f64 -1 (log.f64 (.f64 (.f64 (PI.f64) f) 1/4))) (PI.f64)) -1))
	2.8b	(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) 3))
	2.0b	(.f64 -4 (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
✓	1.8b	(*.f64 -4 (/.f64 (-.f64 (neg.f64 (log.f64 (/.f64 (PI.f64) 4))) (log.f64 f)) (PI.f64)))
	1.9b	(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))) (PI.f64)))
	1.9b	(.f64 -4 (/.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2)))) (PI.f64)))
	43.8b	(.f64 -4 (/.f64 (-.f64 (fabs.f64 (log.f64 (.f64 1/4 (/.f64 (PI.f64) (sqrt.f64 f))))) (log.f64 (sqrt.f64 f))) (PI.f64)))
	1.9b	(.f64 -4 (/.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 3) (PI.f64)))
✓	1.8b	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))
	1.8b	(.f64 -4 (/.f64 1 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	1.9b	(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
	1.8b	(.f64 -4 (-.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) 2) 2))
	2.0b	(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (.f64 (PI.f64) f)))))))
	1.9b	(.f64 -4 (.f64 (+.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (log.f64 f)) (/.f64 -1 (PI.f64))))
	1.9b	(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 1 (PI.f64)))))
✓	2.5b	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))
	2.5b	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))))

Compiler

Compiled 448 to 366 computations (18.3% saved)

regimes94.0ms (0.5%)

Counts

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

Outputs

(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) (exp.f64 (*.f64 -1/4 (*.f64 (PI.f64) f)))) (+.f64 (*.f64 (pow.f64 f 5) (-.f64 (*.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (*.f64 (-.f64 (*.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f) (*.f64 (pow.f64 f 3) (-.f64 (*.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))) (/.f64 -4 (PI.f64)))

Calls

6 calls:

23.0ms	f
21.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
6.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
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)))))
5.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Error	Segments	Branch
1.7b	1	`f`
1.7b	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))))))))`
1.7b	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)))))))`
1.7b	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))))))`
1.7b	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)))))`
1.7b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1063 to 771 computations (27.5% saved)

regimes74.0ms (0.4%)

Counts

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

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

Calls

6 calls:

18.0ms	f
17.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
11.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
5.0ms	(/.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)))))
5.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Error	Segments	Branch
1.8b	1	`f`
1.8b	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
1.8b	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
1.8b	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
1.8b	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
1.8b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 735 to 521 computations (29.1% saved)

regimes6.0ms (0%)

Accuracy

Total -17.6b remaining (-38.9%)

Threshold costs -17.6b (-38.9%)

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:

4.0ms

Results

Error	Segments	Branch
45.3b	1	`f`

Compiler

Compiled 39 to 24 computations (38.5% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

68×	`*-commutative`
50×	`+-commutative`
34×	`neg-mul-1`
34×	`neg-sub0`
28×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	268
1	82	268
2	102	268
3	120	268
4	147	268
5	178	268
6	200	268
7	213	268
8	219	268
9	220	268

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))) (/.f64 -4 (PI.f64)))
(*.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
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3)))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 (.f64 (PI.f64) f) -1/4))) (+.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 f (+.f64 (.f64 (PI.f64) 1/4) (.f64 (PI.f64) 1/4))) (.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)))
(*.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 85 to 67 computations (21.2% saved)

soundness175.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 112 to 86 computations (23.2% saved)

end50.0ms (0.3%)

Compiler: Compiled 82 to 60 computations (26.8% saved)

Iter	Nodes	Cost
0	53	268
1	82	268
2	102	268
3	120	268
4	147	268
5	178	268
6	200	268
7	213	268
8	219	268
9	220	268

Iter	Nodes	Cost
0	53	268
1	82	268
2	102	268
3	120	268
4	147	268
5	178	268
6	200	268
7	213	268
8	219	268
9	220	268

Iter	Nodes	Cost
0	53	268
1	82	268
2	102	268
3	120	268
4	147	268
5	178	268
6	200	268
7	213	268
8	219	268
9	220	268