Details

analyze335.0ms (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)

sample9.5s (48.5%)

Results

3.1s	3971×	body	1024	invalid
3.1s	4039×	body	1024	valid
977.0ms	2018×	body	512	invalid
935.0ms	2032×	body	512	valid
768.0ms	565×	body	2048	valid
355.0ms	1620×	body	256	valid
233.0ms	990×	body	256	invalid
2.0ms	2×	body	2048	invalid
0.0ms	2×	body	256	unsamplable

Bogosity

preprocess72.0ms (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)

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs

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

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

eval4.0ms (0%)

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

60.5b

Counts

9 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.5b	(.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)))
▶	60.5b	(.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

▶

60.5b

(*.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)))

▶

60.5b

(*.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 66 to 46 computations (30.3% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	0.3b	(*.f64 (PI.f64) f)
✓	1.0b	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
✓	5.7b	(-.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)

series71.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	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)))
31.0ms	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))))

rewrite192.0ms (1%)

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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simplify138.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	687	4904
1	2667	4904

Stop Event

1×

unsound

Counts

290 → 297

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
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(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.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))

localize104.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))
✓	0.1b	(.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)))
✓	0.5b	(/.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)))
✓	5.7b	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f))

Compiler

Compiled 146 to 94 computations (35.6% saved)

series96.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
38.0ms	f	@	-inf	(.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)))
32.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f))
12.0ms	f	@	inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f))
7.0ms	f	@	inf	(.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)))
4.0ms	f	@	inf	(/.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)))

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`associate-/l*`
452×	`add-sqr-sqrt`
440×	`*-un-lft-identity`
436×	`pow1`
428×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	262
1	454	262
2	6087	262

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 2 (PI.f64)))) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (.f64 (PI.f64) -1/4)) (pow.f64 (sqrt.f64 (exp.f64 f)) (.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 f) (.f64 2 (.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (PI.f64) (.f64 -1/4 f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))))))

simplify209.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1452×	`associate-+r+`
1002×	`associate-+l+`
710×	`+-commutative`
632×	`associate-+r-`
582×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	546	9058
1	1496	6286
2	5683	6282

Stop Event

1×	node limit

Counts

228 → 301

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
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(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(.f64 -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 -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 -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)))))
(+.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 (.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 -2/3 (/.f64 (.f64 (pow.f64 f 3) (+.f64 (.f64 -3/2 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2) (.f64 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 2)))) (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))))))) (+.f64 (.f64 1/4 (.f64 (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) 3) (pow.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) 3))) (.f64 3 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))))) (PI.f64))))))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (*.f64 f (PI.f64))))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.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))))))) (PI.f64)))
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(/.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) -4)) (/.f64 (PI.f64) (sqrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) -4))))
(/.f64 (.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) -4)) (cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) -4))) (/.f64 (PI.f64) (cbrt.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) -4))))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 4) (neg.f64 (PI.f64)))
(/.f64 (.f64 4 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))) (neg.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) -1/4) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))))) (/.f64 (sqrt.f64 (PI.f64)) -4)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (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 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) -4)) (neg.f64 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))) 3)
(pow.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64)))) 2))
(log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))
(log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1)))
(cbrt.f64 (pow.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64)))) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (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 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))) 3)))
(expm1.f64 (log1p.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1)
(.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 1)
(.f64 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))
(*.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(.f64 (pow.f64 1 f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 2 (PI.f64)))) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(.f64 (pow.f64 1 (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (.f64 (PI.f64) -1/4)) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (exp.f64 f) (.f64 2 (.f64 (PI.f64) -1/4))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))
(exp.f64 (.f64 (.f64 (PI.f64) (*.f64 -1/4 f)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (.f64 (PI.f64) 1/2) f)
(.f64 (PI.f64) (.f64 1/2 f))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (PI.f64) (*.f64 1/2 f)))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (PI.f64) (.f64 1/2 f))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 (.f64 -1/4 f)) (PI.f64)))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)))))
(+.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) 0)
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(*.f64 (log.f64 (/.f64 2 0)) (/.f64 4 (PI.f64)))
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(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 0)))
(*.f64 (log.f64 (/.f64 2 0)) (/.f64 4 (PI.f64)))
(exp.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 0)))
(*.f64 (log.f64 (/.f64 2 0)) (/.f64 4 (PI.f64)))
(exp.f64 (.f64 (log.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))))) 1))
(.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 0)))
(*.f64 (log.f64 (/.f64 2 0)) (/.f64 4 (PI.f64)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (+.f64 (pow.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 0) (/.f64 4 (PI.f64))) -1))
(log1p.f64 (+.f64 -1 (pow.f64 (/.f64 2 0) (/.f64 4 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))) 1)
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) 1)
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(.f64 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(*.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)))
(pow.f64 (exp.f64 f) (*.f64 2 (/.f64 (PI.f64) 8)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 2))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 2) (cbrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(.f64 (pow.f64 1 f) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f) (pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) (*.f64 2 f))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) (*.f64 f 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 2 (PI.f64)))) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) 2))) f) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/4) (PI.f64))) f))
(.f64 (pow.f64 1 (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 f)) (.f64 (PI.f64) -1/4)) (pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))
(pow.f64 (sqrt.f64 (exp.f64 f)) (.f64 (.f64 (PI.f64) 2) -1/4))
(pow.f64 (sqrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 f) 2)) (.f64 (PI.f64) -1/4)) (pow.f64 (cbrt.f64 (exp.f64 f)) (*.f64 (PI.f64) -1/4)))
(sqrt.f64 (pow.f64 (exp.f64 f) (.f64 2 (.f64 (PI.f64) -1/4))))
(sqrt.f64 (pow.f64 (exp.f64 f) (.f64 (.f64 (PI.f64) 2) -1/4)))
(sqrt.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/2)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4)) 3))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))
(exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))
(exp.f64 (.f64 (.f64 (PI.f64) (*.f64 -1/4 f)) 1))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(pow.f64 (exp.f64 (*.f64 -1/4 f)) (PI.f64))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))))
(pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))

eval600.0ms (3.1%)

Compiler: Compiled 32908 to 20253 computations (38.5% saved)

prune156.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	694	7	701
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	695	8	703

Error

1.5b

Counts

703 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.9b	(fma.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (.f64 f f) (/.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0))))) (.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
▶	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
▶	55.3b	(/.f64 -2 (PI.f64))
▶	2.4b	(*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 -4 (PI.f64)))
✓	60.5b	(.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)))
	2.3b	(.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)))
	2.0b	(.f64 (log.f64 (+.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) (+.f64 (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2))) 0))) (/.f64 -4 (PI.f64)))
▶	2.2b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))

Compiler

Compiled 377 to 300 computations (20.4% saved)

localize147.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192))
✓	1.0b	(fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0))
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	2.0b	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))

Compiler

Compiled 375 to 282 computations (24.8% saved)

series0.0ms (0%)

Counts: 4 → 0

rewrite115.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

538×	`add-sqr-sqrt`
508×	`*-un-lft-identity`
504×	`add-exp-log`
504×	`add-cbrt-cube`
504×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	150
1	594	116
2	7157	116

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

Inputs
(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))
(pow.f64 (PI.f64) 3)
(fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0))
(/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 (PI.f64))) (neg.f64 (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (-.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (log.f64 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 1/2)) (log.f64 (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64))))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2))) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (.f64 1/4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 (.f64 (PI.f64) 1/2)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (log.f64 (.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -2) (-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 -2) (-.f64 (log.f64 (neg.f64 (PI.f64))) (neg.f64 (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (-.f64 (log.f64 (PI.f64)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (-.f64 (log.f64 (PI.f64)) (neg.f64 (log.f64 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -2 (PI.f64))) (log.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 2)) (log.f64 (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (/.f64 -2 (PI.f64)))) (log.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 2) 0) (log.f64 (.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 2) (log.f64 1/2)) (log.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 2) (log.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)))) (log.f64 (sqrt.f64 (.f64 (PI.f64) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 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simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1764×	`distribute-lft-in`
1586×	`associate-/r/`
568×	`associate-l`
514×	`+-commutative`
512×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	6444
1	1006	4166
2	4550	3880

Stop Event

1×	node limit

Counts

166 → 220

Calls

Call 1

Inputs
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(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))
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(+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 (PI.f64))) (neg.f64 (log.f64 1/2))))
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(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 1/2))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 1/2)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (log.f64 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (-.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (log.f64 1/2)))
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(-.f64 0 (-.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (log.f64 2)))
(-.f64 0 (-.f64 (log.f64 (*.f64 (PI.f64) 1/2)) (neg.f64 (log.f64 1/2))))
(-.f64 (log.f64 -2) (-.f64 (log.f64 (neg.f64 (PI.f64))) (log.f64 2)))
(-.f64 (log.f64 -2) (-.f64 (log.f64 (neg.f64 (PI.f64))) (neg.f64 (log.f64 1/2))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(-.f64 (log.f64 2) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (log.f64 2) (-.f64 (log.f64 (PI.f64)) (log.f64 2)))
(-.f64 (log.f64 2) (-.f64 (log.f64 (PI.f64)) (neg.f64 (log.f64 1/2))))
(-.f64 (log.f64 (/.f64 -2 (PI.f64))) (log.f64 -1/2))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64))))) 1)
(-.f64 (+.f64 0 (log.f64 2)) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (+.f64 0 (log.f64 (/.f64 -2 (PI.f64)))) (log.f64 -1/2))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (/.f64 4 (PI.f64)))))) 1)
(-.f64 (-.f64 (log.f64 2) 0) (log.f64 (*.f64 (PI.f64) 1/2)))
(-.f64 (-.f64 (log.f64 2) (log.f64 1/2)) (log.f64 (PI.f64)))
(-.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 (log.f64 (/.f64 4 (PI.f64))) 1)
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(*.f64 (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))) 2) (cbrt.f64 (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (-.f64 (.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 2 (PI.f64)))) (.f64 (log.f64 1/2) (log.f64 1/2))) (-.f64 (log.f64 2) (log.f64 (*.f64 2 (PI.f64)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 2 (PI.f64))) 3) (pow.f64 (log.f64 1/2) 3)) (+.f64 (.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (/.f64 2 (PI.f64)))) (+.f64 (.f64 (log.f64 1/2) (log.f64 1/2)) (*.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2)))))
(pow.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
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(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 1 (pow.f64 (PI.f64) 3))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (PI.f64)))
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
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(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
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(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
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(-.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 0)
(-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)))))) 1)
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))))) 1)
(.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))
(.f64 1/2 (.f64 (PI.f64) (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))
(.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)))
(.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2)) (*.f64 (PI.f64) 1/2))
(.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 1)
(.f64 1 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2)))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2))))) (sqrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))))
(.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) 1/2)) (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2))))) (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2))))) 2) (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))))
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(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 2) 0) (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2)))))
(/.f64 (+.f64 0 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 3)) (+.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 2) (-.f64 0 (.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 0))))
(pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 1)
(pow.f64 (sqrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))) 2)
(pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))) 3)
(pow.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 2))
(log.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)))))))
(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))))
(exp.f64 (+.f64 (log.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2))) (log.f64 (.f64 (PI.f64) 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2))))) 1))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)))) 1)
(.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) (/.f64 1/192 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (.f64 (pow.f64 (PI.f64) 2) 1/4)))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 1/192 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(.f64 1/192 (.f64 (pow.f64 (PI.f64) 3) (/.f64 4 (pow.f64 (PI.f64) 2))))
(.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) 1)
(.f64 1 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)))
(.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 192))))
(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (pow.f64 (PI.f64) 3/2) (/.f64 1/192 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))) (pow.f64 (/.f64 (PI.f64) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))) 2))
(.f64 (pow.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))) 2) (/.f64 (PI.f64) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))))
(*.f64 (/.f64 4 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 192))
(.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 4 (pow.f64 (PI.f64) 2))) 1/192)
(.f64 (/.f64 1/192 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (pow.f64 (PI.f64) 3))
(.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (/.f64 1 (neg.f64 (.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 48)))
(.f64 (/.f64 (pow.f64 (PI.f64) 3) 1) (/.f64 1/192 (.f64 (pow.f64 (PI.f64) 2) 1/4)))
(.f64 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) (/.f64 (pow.f64 (PI.f64) 3) (.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 192))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) 36864))) (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) -1/4)) -1/192)
(.f64 (/.f64 (PI.f64) 1) (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 48)))
(.f64 (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (/.f64 (pow.f64 (PI.f64) 2) 192))
(.f64 (/.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) (/.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 192))))
(.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) (/.f64 (PI.f64) (.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 192))))
(.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) 36864))) (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (/.f64 (PI.f64) 192))
(.f64 (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) 36864))) (/.f64 (PI.f64) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (/.f64 (pow.f64 (PI.f64) 3/2) 192))
(.f64 (/.f64 (pow.f64 (PI.f64) 3/2) 1) (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (pow.f64 (PI.f64) 2) 48)))
(.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) 36864))) (/.f64 (pow.f64 (PI.f64) 3/2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) 1)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) 2)
(pow.f64 (/.f64 (PI.f64) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) 3) 1/3)
(pow.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 48) (pow.f64 (PI.f64) 3)) -1)
(neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 6) (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) 36864)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 48) 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))))

Outputs
(+.f64 (log.f64 (/.f64 4 (PI.f64))) 0)
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (neg.f64 (log.f64 1/2)))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(+.f64 (log.f64 2) (log.f64 (/.f64 2 (PI.f64))))
(+.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 1 (PI.f64))) (neg.f64 (log.f64 1/2))))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(+.f64 (log.f64 2) (-.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 1/2)))
(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 1/2))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 2)))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (+.f64 (log.f64 2) (log.f64 (sqrt.f64 (/.f64 2 (PI.f64))))))
(+.f64 (log.f64 2) (*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 1/2))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 1/2)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64))))) (log.f64 1/2))
(+.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (-.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 1/2)))
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64))))) (log.f64 1/2))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (log.f64 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64))))) (+.f64 (log.f64 2) (log.f64 (cbrt.f64 (/.f64 2 (PI.f64))))))
(+.f64 (log.f64 2) (*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (+.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (neg.f64 (log.f64 1/2))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64))))) (-.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (log.f64 1/2)))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64))))) (log.f64 1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (-.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (log.f64 1/2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64))))) (-.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (log.f64 1/2)))
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64))))) (log.f64 1/2))
(+.f64 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 4 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (PI.f64)))))
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(cbrt.f64 (pow.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)))) 3))
(.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -2) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) -1/24) (.f64 1/8 (PI.f64)))))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (*.f64 (PI.f64) -1/48)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 3) (pow.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2)) 3)))
(.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -2) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) -1/24) (.f64 1/8 (PI.f64)))))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (*.f64 (PI.f64) -1/48)))
(expm1.f64 (log1p.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))))
(.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -2) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) -1/24) (.f64 1/8 (PI.f64)))))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (*.f64 (PI.f64) -1/48)))
(exp.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))))
(.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -2) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) -1/24) (.f64 1/8 (PI.f64)))))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (*.f64 (PI.f64) -1/48)))
(exp.f64 (+.f64 (log.f64 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2))) (log.f64 (.f64 (PI.f64) 1/2))))
(.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -2) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) -1/24) (.f64 1/8 (PI.f64)))))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (*.f64 (PI.f64) -1/48)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) -2))))) 1))
(.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -2) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) -1/24) (.f64 1/8 (PI.f64)))))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (*.f64 (PI.f64) -1/48)))
(log1p.f64 (expm1.f64 (.f64 (PI.f64) (.f64 1/2 (fma.f64 1/16 (.f64 2 (PI.f64)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) -2))))))
(.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (.f64 (PI.f64) 2) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -2) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 (.f64 (PI.f64) -1/24) (.f64 1/8 (PI.f64)))))
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (*.f64 (PI.f64) -1/48)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)))) 1)
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) (/.f64 1/192 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) (/.f64 1/192 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 1/192 (.f64 (pow.f64 (PI.f64) 3) (/.f64 4 (pow.f64 (PI.f64) 2))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)) 1)
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 1 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48)))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 192))))
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(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) 2)
(.f64 (pow.f64 (PI.f64) 3/2) (.f64 (pow.f64 (PI.f64) 3/2) (/.f64 1/192 (*.f64 (pow.f64 (PI.f64) 2) 1/4))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))) (pow.f64 (/.f64 (PI.f64) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))) 2))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (pow.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))) 2) (/.f64 (PI.f64) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(*.f64 (/.f64 4 (pow.f64 (PI.f64) 2)) (/.f64 (pow.f64 (PI.f64) 3) 192))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 4 (pow.f64 (PI.f64) 2))) 1/192)
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 1/192 (.f64 (pow.f64 (PI.f64) 2) 1/4)) (pow.f64 (PI.f64) 3))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (neg.f64 (pow.f64 (PI.f64) 3)) (/.f64 1 (neg.f64 (.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (pow.f64 (PI.f64) 2) 1) (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 48)))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (pow.f64 (PI.f64) 3) 1) (/.f64 1/192 (.f64 (pow.f64 (PI.f64) 2) 1/4)))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) (/.f64 (pow.f64 (PI.f64) 3) (.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 192))))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (PI.f64) (.f64 1/2 (sqrt.f64 192)))) 2)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) 2)
(.f64 (/.f64 1 (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) 36864))) (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 2304))) (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 2304)))
(.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) -1/4)) -1/192)
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (PI.f64) 1) (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 48)))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (/.f64 (pow.f64 (PI.f64) 2) 192))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (PI.f64) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) (/.f64 (pow.f64 (PI.f64) 2) (.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 192))))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (PI.f64) (.f64 1/2 (sqrt.f64 192)))) 2)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) 2)
(.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) (/.f64 (PI.f64) (.f64 (*.f64 (PI.f64) 1/2) (sqrt.f64 192))))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (PI.f64) (.f64 1/2 (sqrt.f64 192)))) 2)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) 2)
(.f64 (/.f64 (PI.f64) (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) 36864))) (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 2304))) (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 2304)))
(.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (/.f64 (PI.f64) 192))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) 36864))) (/.f64 (PI.f64) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 2304))) (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 2304)))
(.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (pow.f64 (PI.f64) 2) 1/4)) (/.f64 (pow.f64 (PI.f64) 3/2) 192))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (pow.f64 (PI.f64) 3/2) 1) (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (pow.f64 (PI.f64) 2) 48)))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (cbrt.f64 (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) 36864))) (/.f64 (pow.f64 (PI.f64) 3/2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))))
(.f64 (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 2304))) (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (/.f64 (pow.f64 (PI.f64) 3) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 48))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 4) 2304)))
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) 1)
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (.f64 (PI.f64) 1/2) (sqrt.f64 192))) 2)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3/2) (.f64 (PI.f64) (.f64 1/2 (sqrt.f64 192)))) 2)
(pow.f64 (/.f64 (PI.f64) (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))) 3)
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) 3) 1/3)
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(pow.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 48) (pow.f64 (PI.f64) 3)) -1)
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(neg.f64 (/.f64 (pow.f64 (PI.f64) 3) (neg.f64 (*.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 6) (.f64 (.f64 (pow.f64 (PI.f64) 4) 1/16) 36864)))
(sqrt.f64 (/.f64 (pow.f64 (PI.f64) 6) (*.f64 (pow.f64 (PI.f64) 4) 2304)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48)) 3))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 48) 3)))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(exp.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(exp.f64 (.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 2) 48))) 1))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))))
(/.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 (PI.f64) 2) 48))
(*.f64 (PI.f64) 1/48)

localize3.0ms (0%)

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

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 22 computations (15.4% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (log1p.f64 (PI.f64))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (*.f64 (PI.f64) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (pow.f64 (/.f64 -4 (PI.f64)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -1) (pow.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -4 (PI.f64)) -1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) 2) -1) (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 -4 (PI.f64))) -2) (pow.f64 (sqrt.f64 -2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 -2) -2) (pow.f64 (sqrt.f64 (/.f64 -4 (PI.f64))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))) -2) (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/8 (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 8 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 8 (pow.f64 (cbrt.f64 (PI.f64)) 2))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))) (*.f64 (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))) (*.f64 (pow.f64 (pow.f64 (/.f64 8 (PI.f64)) 1/4) -1) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8))) (pow.f64 (sqrt.f64 (/.f64 8 (PI.f64))) -1/2)) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) 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(PI.f64) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)))) (*.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/8)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 8 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) 1/8)) (sqrt.f64 (/.f64 8 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) (/.f64 8 (sqrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (PI.f64)) (/.f64 8 (pow.f64 (cbrt.f64 (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 8 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/8 (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/4 (/.f64 -2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (/.f64 8 (PI.f64)) 1/4)) (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (pow.f64 (/.f64 8 (PI.f64)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (/.f64 -4 (PI.f64)))) (/.f64 -4 (sqrt.f64 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (sqrt.f64 (/.f64 -4 (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (sqrt.f64 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 2 (cbrt.f64 (PI.f64)))) (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 2 (cbrt.f64 (PI.f64)))) (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (/.f64 2 (cbrt.f64 (PI.f64))) 2)) (/.f64 2 (cbrt.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (*.f64 16 (pow.f64 (PI.f64) -2)))) (/.f64 -2 (cbrt.f64 (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (pow.f64 (/.f64 8 (PI.f64)) 1/4))) (pow.f64 (/.f64 8 (PI.f64)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 -4 (sqrt.f64 (neg.f64 (PI.f64))))) (sqrt.f64 (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 -2 (cbrt.f64 (*.f64 16 (pow.f64 (PI.f64) -2))))) (cbrt.f64 (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (sqrt.f64 (/.f64 -4 (PI.f64))))) (sqrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 (sqrt.f64 (/.f64 8 (PI.f64))) (/.f64 2 (cbrt.f64 (PI.f64))))) (cbrt.f64 (sqrt.f64 (/.f64 8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8)))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) 1/8))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (PI.f64) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/8)))))))

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 93

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 33 computations (25% saved)

series73.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
52.0ms	f	@	-inf	(*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 -4 (PI.f64)))
13.0ms	f	@	0	(*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 -4 (PI.f64)))
7.0ms	f	@	inf	(*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)
0.0ms	f	@	0	(log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`associate-/l*`
884×	`associate-/l/`
690×	`associate-/r/`
390×	`distribute-rgt-in`
364×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	85
1	325	67
2	4101	67

Stop Event

1×	node limit

Counts

3 → 183

Calls

Call 1

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

Outputs

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simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1212×	`associate-/l/`
952×	`associate-/r/`
710×	`associate-+l+`
690×	`associate-+r+`
546×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	462	6391
1	1171	6083
2	4708	6083

Stop Event

1×	node limit

Counts

219 → 273

Calls

Call 1

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

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

localize61.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
✓	0.3b	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
	2.0b	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))

Compiler

Compiled 55 to 39 computations (29.1% saved)

series36.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
12.0ms	f	@	-inf	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
6.0ms	f	@	inf	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
0.0ms	f	@	-inf	(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
0.0ms	f	@	0	(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`associate-/l/`
750×	`distribute-rgt-in`
718×	`distribute-lft-in`
646×	`associate-/r/`
314×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	307	46
2	4114	46

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

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

Outputs

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simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1530×	`associate-+l-`
1418×	`associate-+r-`
1086×	`+-commutative`
640×	`fma-def`
522×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	443	9881
1	1205	8773
2	5542	8773

Stop Event

1×	node limit

Counts

193 → 256

Calls

Call 1

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

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

eval590.0ms (3%)

Compiler: Compiled 27456 to 19542 computations (28.8% saved)

prune453.0ms (2.3%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	901	28	929
Fresh	1	1	2
Picked	1	0	1
Done	2	3	5
Total	905	32	937

Error

1.2b

Counts

937 → 32

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.9b	(fma.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (.f64 f f) (/.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (.f64 (PI.f64) -1/48)))))) (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
✓	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
	63.0b	(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 8 (cbrt.f64 (PI.f64))))
▶	63.0b	(/.f64 (PI.f64) 8)
✓	55.3b	(/.f64 -2 (PI.f64))
	63.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)))
	2.3b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
▶	2.4b	(.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (PI.f64)) (log.f64 (.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (.f64 (PI.f64) 1/8))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (*.f64 (PI.f64) 1/8))))
✓	60.5b	(.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)))
	2.3b	(.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)))
	2.4b	(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
	3.1b	(.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3) 1/3))
	2.4b	(.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) -1))
	2.5b	(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 2))
	3.3b	(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3))
	3.2b	(.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) (PI.f64)))
	3.5b	(*.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64))))
	2.3b	(.f64 -4 (/.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	3.2b	(.f64 -4 (/.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
	3.8b	(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))) (PI.f64)))
	3.2b	(.f64 -4 (/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	2.2b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
	3.1b	(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	3.1b	(.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
▶	2.3b	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
	2.6b	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 2 (PI.f64))) (PI.f64)) (+.f64 (/.f64 (log.f64 1/2) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
▶	3.4b	(.f64 -4 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (PI.f64)))))
	2.4b	(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
	3.0b	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	3.0b	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))

Compiler

Compiled 986 to 789 computations (20% saved)

localize77.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (PI.f64) -1/48)
✓	1.0b	(+.f64 (.f64 (PI.f64) 1/16) (.f64 (PI.f64) -1/48))
✓	1.0b	(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (*.f64 (PI.f64) -1/48)))
	2.0b	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))

Compiler

Compiled 186 to 120 computations (35.5% saved)

series0.0ms (0%)

Counts: 3 → 0

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1052×	`*-commutative`
918×	`unswap-sqr`
672×	`swap-sqr`
572×	`associate-*r/`
528×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	223	33
2	2883	33

Stop Event

1×	node limit

Counts

3 → 161

Calls

Call 1

Inputs
(.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (*.f64 (PI.f64) -1/48)))
(+.f64 (.f64 (PI.f64) 1/16) (.f64 (PI.f64) -1/48))
(*.f64 (PI.f64) -1/48)

Outputs

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simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1730×	`distribute-lft-in`
984×	`associate-/l*`
790×	`associate-r`
680×	`associate-l`
664×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	417	5773
1	1329	4785
2	6356	4785

Stop Event

1×	node limit

Counts

161 → 225

Calls

Call 1

Inputs
(+.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 -1/48 (pow.f64 (PI.f64) 2)))
(+.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24))) 1)
(/.f64 (PI.f64) (/.f64 1 (*.f64 (PI.f64) 1/24)))
(/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (/.f64 (.f64 (PI.f64) 1/12) (PI.f64)))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) (/.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)) (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/288)) (*.f64 (PI.f64) 1/12))
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 3) 13/55296)) (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))
(/.f64 (-.f64 (.f64 1/256 (.f64 (PI.f64) (pow.f64 (PI.f64) 3))) (.f64 1/2304 (.f64 (PI.f64) (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 (PI.f64) 2) 1/12))
(/.f64 (+.f64 (pow.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) 3)) (+.f64 (.f64 1/256 (.f64 (PI.f64) (pow.f64 (PI.f64) 3))) (.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (-.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))))
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(/.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) 1/24)) (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288))) (sqrt.f64 (.f64 (PI.f64) 1/12)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/24)) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296))) (cbrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/24)) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288))) (cbrt.f64 (.f64 (PI.f64) 1/12)))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) -1/288) 1) (*.f64 (PI.f64) -1/12))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288)) 1) (*.f64 (PI.f64) -1/12))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296)) 1) (neg.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296)) (sqrt.f64 (.f64 (PI.f64) 1/24))) (sqrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288)) (sqrt.f64 (.f64 (PI.f64) 1/24))) (sqrt.f64 (.f64 (PI.f64) 1/12)))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/24)) 2)) (cbrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/24)) 2)) (cbrt.f64 (.f64 (PI.f64) 1/12)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 3)) 1/65536) (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 3)) 1/5308416)) (/.f64 1 (.f64 (PI.f64) 1/12))) (*.f64 (pow.f64 (PI.f64) 2) 5/1152))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 1/256 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) 3)) (/.f64 1 (.f64 (PI.f64) 1/12))) (+.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 3)) 1/65536) (.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 2) 5/1152))))
(/.f64 (.f64 (-.f64 (.f64 1/16777216 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (.f64 1/12230590464 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))) (/.f64 1 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))) (*.f64 (pow.f64 (PI.f64) 3) 7/27648))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/4096 (pow.f64 (PI.f64) 3)) 3) (pow.f64 (.f64 -1/110592 (pow.f64 (PI.f64) 3)) 3)) (/.f64 1 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))) (+.f64 (.f64 1/16777216 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (.f64 (.f64 -1/110592 (pow.f64 (PI.f64) 3)) (-.f64 (.f64 -1/110592 (pow.f64 (PI.f64) 3)) (.f64 1/4096 (pow.f64 (PI.f64) 3))))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/288) (PI.f64)) 1/12)
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) 1) (.f64 (PI.f64) 1/12))
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (sqrt.f64 (.f64 (PI.f64) 1/12))) (sqrt.f64 (*.f64 (PI.f64) 1/12)))
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/12)) (cbrt.f64 (.f64 (PI.f64) 1/12)))) (cbrt.f64 (*.f64 (PI.f64) 1/12)))
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (.f64 (sqrt.f64 (PI.f64)) (+.f64 1/4 (sqrt.f64 -1/48)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 1/4 (sqrt.f64 -1/48))))
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) 1) (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) (sqrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))) (sqrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) (.f64 (cbrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))) (cbrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))) (cbrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(pow.f64 (*.f64 (PI.f64) 1/24) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/24) 3) 1/3)
(neg.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (.f64 (PI.f64) -1/12)))
(neg.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) (neg.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/24))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/24))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/24)))
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/24)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/24)))
(fma.f64 (PI.f64) 1/16 (*.f64 (PI.f64) -1/48))
(fma.f64 (PI.f64) -1/48 (*.f64 (PI.f64) 1/16))
(fma.f64 1/16 (PI.f64) (*.f64 (PI.f64) -1/48))
(fma.f64 -1/48 (PI.f64) (*.f64 (PI.f64) 1/16))
(fma.f64 1 (.f64 (PI.f64) 1/16) (.f64 (PI.f64) -1/48))
(fma.f64 1 (.f64 (PI.f64) -1/48) (.f64 (PI.f64) 1/16))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) -1/48)) (sqrt.f64 (.f64 (PI.f64) -1/48)) (*.f64 (PI.f64) 1/16))
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/16)) (sqrt.f64 (.f64 (PI.f64) 1/16)) (*.f64 (PI.f64) -1/48))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) -1/48)) 2) (cbrt.f64 (.f64 (PI.f64) -1/48)) (*.f64 (PI.f64) 1/16))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/16)) 2) (cbrt.f64 (.f64 (PI.f64) 1/16)) (*.f64 (PI.f64) -1/48))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/48))) 1)
(pow.f64 (*.f64 (PI.f64) -1/48) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/48)) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/48)) 3)
(pow.f64 (*.f64 -1/110592 (pow.f64 (PI.f64) 3)) 1/3)
(sqrt.f64 (*.f64 1/2304 (pow.f64 (PI.f64) 2)))
(log.f64 (pow.f64 (exp.f64 -1/48) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/48))))
(cbrt.f64 (*.f64 -1/110592 (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/48)))
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/48)))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/48)))

Outputs
(+.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) (.f64 -1/48 (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(+.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24))) 1)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(/.f64 (PI.f64) (/.f64 1 (*.f64 (PI.f64) 1/24)))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (/.f64 (.f64 (PI.f64) 1/12) (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) (/.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)) (PI.f64)))
(.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) 1/12))) 13/55296)) (PI.f64))
(/.f64 (.f64 13/55296 (pow.f64 (PI.f64) 4)) (fma.f64 (pow.f64 (PI.f64) 2) 1/2304 (.f64 (pow.f64 (PI.f64) 2) 1/192)))
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/288)) (*.f64 (PI.f64) 1/12))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 3) 13/55296)) (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))
(.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) 1/12))) 13/55296)) (PI.f64))
(/.f64 (.f64 13/55296 (pow.f64 (PI.f64) 4)) (fma.f64 (pow.f64 (PI.f64) 2) 1/2304 (.f64 (pow.f64 (PI.f64) 2) 1/192)))
(/.f64 (-.f64 (.f64 1/256 (.f64 (PI.f64) (pow.f64 (PI.f64) 3))) (.f64 1/2304 (.f64 (PI.f64) (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 (PI.f64) 2) 1/12))
(/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 3)) 1/288) (*.f64 (pow.f64 (PI.f64) 2) 1/12))
(*.f64 (/.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 2)) 1/24)
(/.f64 (+.f64 (pow.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) 3)) (+.f64 (.f64 1/256 (.f64 (PI.f64) (pow.f64 (PI.f64) 3))) (.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (-.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (.f64 1/16 (pow.f64 (PI.f64) 2))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 3) (.f64 -1/110592 (pow.f64 (pow.f64 (PI.f64) 2) 3))) (fma.f64 1/256 (.f64 (PI.f64) (pow.f64 (PI.f64) 3)) (.f64 (.f64 (pow.f64 (PI.f64) 2) -1/48) (.f64 (pow.f64 (PI.f64) 2) -1/12))))
(/.f64 (.f64 (pow.f64 (PI.f64) 6) 13/55296) (fma.f64 1/256 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 4) 1/576)))
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) -1/288)) (*.f64 (PI.f64) -1/12))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(/.f64 (.f64 (PI.f64) (neg.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288))) (*.f64 (PI.f64) -1/12))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(/.f64 (.f64 (PI.f64) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296))) (neg.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) -13/55296) (/.f64 (neg.f64 (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))) (PI.f64)))
(/.f64 (.f64 (pow.f64 (PI.f64) 4) -13/55296) (-.f64 (.f64 (pow.f64 (PI.f64) 2) -1/2304) (*.f64 (pow.f64 (PI.f64) 2) 1/192)))
(/.f64 (.f64 1 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/288))) (.f64 (PI.f64) 1/12))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(/.f64 (.f64 1 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 3) 13/55296))) (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))
(.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) 1/12))) 13/55296)) (PI.f64))
(/.f64 (.f64 13/55296 (pow.f64 (PI.f64) 4)) (fma.f64 (pow.f64 (PI.f64) 2) 1/2304 (.f64 (pow.f64 (PI.f64) 2) 1/192)))
(/.f64 (.f64 1 (-.f64 (.f64 1/256 (.f64 (PI.f64) (pow.f64 (PI.f64) 3))) (.f64 1/2304 (.f64 (PI.f64) (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 (PI.f64) 2) 1/12))
(/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 3)) 1/288) (*.f64 (pow.f64 (PI.f64) 2) 1/12))
(*.f64 (/.f64 (pow.f64 (PI.f64) 4) (pow.f64 (PI.f64) 2)) 1/24)
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 3) (pow.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) 3))) (+.f64 (.f64 1/256 (.f64 (PI.f64) (pow.f64 (PI.f64) 3))) (.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (-.f64 (.f64 -1/48 (pow.f64 (PI.f64) 2)) (*.f64 1/16 (pow.f64 (PI.f64) 2))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 3) (.f64 -1/110592 (pow.f64 (pow.f64 (PI.f64) 2) 3))) (fma.f64 1/256 (.f64 (PI.f64) (pow.f64 (PI.f64) 3)) (.f64 (.f64 (pow.f64 (PI.f64) 2) -1/48) (.f64 (pow.f64 (PI.f64) 2) -1/12))))
(/.f64 (.f64 (pow.f64 (PI.f64) 6) 13/55296) (fma.f64 1/256 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 4) 1/576)))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/24))) (sqrt.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296))) (sqrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/24))) (/.f64 (sqrt.f64 (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) 1/12)))) (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 13/55296))))
(.f64 (/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/24))) (sqrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/2304 (.f64 (pow.f64 (PI.f64) 2) 1/192)))) (sqrt.f64 (*.f64 (pow.f64 (PI.f64) 3) 13/55296)))
(/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/24))) (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288))) (sqrt.f64 (*.f64 (PI.f64) 1/12)))
(/.f64 (.f64 (PI.f64) (sqrt.f64 (.f64 (PI.f64) 1/24))) (/.f64 (sqrt.f64 (.f64 (PI.f64) 1/12)) (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288))))
(.f64 (/.f64 (sqrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288)) (sqrt.f64 (.f64 (PI.f64) 1/12))) (.f64 (PI.f64) (sqrt.f64 (*.f64 (PI.f64) 1/24))))
(/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/24)) 2)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296))) (cbrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (.f64 (PI.f64) (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/24)) 2) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296)))) (cbrt.f64 (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) 1/12)))))
(/.f64 (PI.f64) (/.f64 (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (PI.f64) 2) 1/2304 (.f64 (pow.f64 (PI.f64) 2) 1/192))) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/24)) 2)))
(/.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/24)) 2)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288))) (cbrt.f64 (*.f64 (PI.f64) 1/12)))
(/.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/24)) 2)) (/.f64 (cbrt.f64 (.f64 (PI.f64) 1/12)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288))))
(/.f64 (PI.f64) (/.f64 (/.f64 (cbrt.f64 (.f64 (PI.f64) 1/12)) (cbrt.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/24)) 2)))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 2) -1/288) (PI.f64)) (*.f64 (PI.f64) -1/12))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288)) (PI.f64)) (*.f64 (PI.f64) -1/12))
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296)) (PI.f64)) (neg.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) -13/55296) (/.f64 (neg.f64 (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))) (PI.f64)))
(/.f64 (.f64 (pow.f64 (PI.f64) 4) -13/55296) (-.f64 (.f64 (pow.f64 (PI.f64) 2) -1/2304) (*.f64 (pow.f64 (PI.f64) 2) 1/192)))
(/.f64 (.f64 (.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/288)) 1) (.f64 (PI.f64) 1/12))
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(/.f64 (+.f64 (.f64 1/68719476736 (pow.f64 (pow.f64 (PI.f64) 3) 3)) (.f64 -1/1352605460594688 (pow.f64 (pow.f64 (PI.f64) 3) 3))) (.f64 (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) 1/12))) (fma.f64 1/16777216 (pow.f64 (PI.f64) 6) (.f64 -1/110592 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 3) -7/27648))))))
(/.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3) 9841/676302730297344) (fma.f64 (pow.f64 (PI.f64) 2) 1/2304 (.f64 (pow.f64 (PI.f64) 2) 1/192))) (fma.f64 -1/110592 (.f64 (pow.f64 (PI.f64) 6) -7/27648) (.f64 1/16777216 (pow.f64 (PI.f64) 6))))
(/.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/288) (PI.f64)) 1/12)
(*.f64 (PI.f64) 1/24)
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) 1) (.f64 (PI.f64) 1/12))
(*.f64 (PI.f64) 1/24)
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (sqrt.f64 (.f64 (PI.f64) 1/12))) (sqrt.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/24)
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (.f64 (cbrt.f64 (.f64 (PI.f64) 1/12)) (cbrt.f64 (.f64 (PI.f64) 1/12)))) (cbrt.f64 (*.f64 (PI.f64) 1/12)))
(*.f64 (PI.f64) 1/24)
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (.f64 (sqrt.f64 (PI.f64)) (+.f64 1/4 (sqrt.f64 -1/48)))) (*.f64 (sqrt.f64 (PI.f64)) (-.f64 1/4 (sqrt.f64 -1/48))))
(/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (.f64 (.f64 (sqrt.f64 (PI.f64)) (-.f64 1/4 (sqrt.f64 -1/48))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 1/4 (sqrt.f64 -1/48)))))
(.f64 (/.f64 1/288 (.f64 (sqrt.f64 (PI.f64)) (-.f64 1/4 (sqrt.f64 -1/48)))) (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (sqrt.f64 (PI.f64)) (+.f64 1/4 (sqrt.f64 -1/48)))))
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) 1) (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) 1) (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) 1/12))))
(.f64 (pow.f64 (PI.f64) 3) (/.f64 13/55296 (fma.f64 (pow.f64 (PI.f64) 2) 1/2304 (.f64 (pow.f64 (PI.f64) 2) 1/192))))
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) (sqrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))) (sqrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) 1) (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) 1/12))))
(.f64 (pow.f64 (PI.f64) 3) (/.f64 13/55296 (fma.f64 (pow.f64 (PI.f64) 2) 1/2304 (.f64 (pow.f64 (PI.f64) 2) 1/192))))
(/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) (.f64 (cbrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))) (cbrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))) (cbrt.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (*.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12))))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) 1) (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (.f64 (pow.f64 (PI.f64) 2) 1/12))))
(.f64 (pow.f64 (PI.f64) 3) (/.f64 13/55296 (fma.f64 (pow.f64 (PI.f64) 2) 1/2304 (.f64 (pow.f64 (PI.f64) 2) 1/192))))
(pow.f64 (*.f64 (PI.f64) 1/24) 1)
(*.f64 (PI.f64) 1/24)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) 1/24)) 2)
(*.f64 (PI.f64) 1/24)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) 1/24)) 3)
(*.f64 (PI.f64) 1/24)
(pow.f64 (pow.f64 (*.f64 (PI.f64) 1/24) 3) 1/3)
(*.f64 (PI.f64) 1/24)
(neg.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 2) 1/288) (.f64 (PI.f64) -1/12)))
(*.f64 (PI.f64) 1/24)
(neg.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 13/55296) (neg.f64 (+.f64 (.f64 1/2304 (pow.f64 (PI.f64) 2)) (.f64 (.f64 1/16 (pow.f64 (PI.f64) 2)) 1/12)))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) -13/55296) (neg.f64 (fma.f64 1/2304 (pow.f64 (PI.f64) 2) (.f64 1/16 (*.f64 (pow.f64 (PI.f64) 2) 1/12)))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) -13/55296) (-.f64 (.f64 (pow.f64 (PI.f64) 2) -1/2304) (*.f64 (pow.f64 (PI.f64) 2) 1/192)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/576))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) 1/24))
(*.f64 (PI.f64) 1/24)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) 1/24))))
(*.f64 (PI.f64) 1/24)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) 1/24) 3))
(*.f64 (PI.f64) 1/24)
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) 1/24)))
(*.f64 (PI.f64) 1/24)
(exp.f64 (log.f64 (*.f64 (PI.f64) 1/24)))
(*.f64 (PI.f64) 1/24)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) 1/24)))
(*.f64 (PI.f64) 1/24)
(fma.f64 (PI.f64) 1/16 (*.f64 (PI.f64) -1/48))
(*.f64 (PI.f64) 1/24)
(fma.f64 (PI.f64) -1/48 (*.f64 (PI.f64) 1/16))
(*.f64 (PI.f64) 1/24)
(fma.f64 1/16 (PI.f64) (*.f64 (PI.f64) -1/48))
(*.f64 (PI.f64) 1/24)
(fma.f64 -1/48 (PI.f64) (*.f64 (PI.f64) 1/16))
(*.f64 (PI.f64) 1/24)
(fma.f64 1 (.f64 (PI.f64) 1/16) (.f64 (PI.f64) -1/48))
(*.f64 (PI.f64) 1/24)
(fma.f64 1 (.f64 (PI.f64) -1/48) (.f64 (PI.f64) 1/16))
(*.f64 (PI.f64) 1/24)
(fma.f64 (sqrt.f64 (.f64 (PI.f64) -1/48)) (sqrt.f64 (.f64 (PI.f64) -1/48)) (*.f64 (PI.f64) 1/16))
(*.f64 (PI.f64) 1/24)
(fma.f64 (sqrt.f64 (.f64 (PI.f64) 1/16)) (sqrt.f64 (.f64 (PI.f64) 1/16)) (*.f64 (PI.f64) -1/48))
(*.f64 (PI.f64) 1/24)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) -1/48)) 2) (cbrt.f64 (.f64 (PI.f64) -1/48)) (*.f64 (PI.f64) 1/16))
(*.f64 (PI.f64) 1/24)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/16)) 2) (cbrt.f64 (.f64 (PI.f64) 1/16)) (*.f64 (PI.f64) -1/48))
(*.f64 (PI.f64) 1/24)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) -1/48))) 1)
(*.f64 (PI.f64) -1/48)
(pow.f64 (*.f64 (PI.f64) -1/48) 1)
(*.f64 (PI.f64) -1/48)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) -1/48)) 2)
(*.f64 (PI.f64) -1/48)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) -1/48)) 3)
(*.f64 (PI.f64) -1/48)
(pow.f64 (*.f64 -1/110592 (pow.f64 (PI.f64) 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/110592))
(sqrt.f64 (*.f64 1/2304 (pow.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/2304))
(log.f64 (pow.f64 (exp.f64 -1/48) (PI.f64)))
(*.f64 (PI.f64) -1/48)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) -1/48))))
(*.f64 (PI.f64) -1/48)
(cbrt.f64 (*.f64 -1/110592 (pow.f64 (PI.f64) 3)))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/110592))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) -1/48)))
(*.f64 (PI.f64) -1/48)
(exp.f64 (log.f64 (*.f64 (PI.f64) -1/48)))
(*.f64 (PI.f64) -1/48)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) -1/48)))
(*.f64 (PI.f64) -1/48)

localize3.0ms (0%)

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

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2)))
✓	0.5b	(.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2))) (/.f64 -4 (PI.f64)))
✓	1.0b	(log.f64 (/.f64 2 (PI.f64)))

Compiler

Compiled 45 to 34 computations (24.4% saved)

series77.0ms (0.4%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	f	@	0	(.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2))) (/.f64 -4 (PI.f64)))
11.0ms	f	@	-inf	(.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2))) (/.f64 -4 (PI.f64)))
7.0ms	f	@	inf	(.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2)))
0.0ms	f	@	inf	(-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (*.f64 f 1/2)))

rewrite130.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1300×	`associate-/r*`
1068×	`distribute-lft-in`
906×	`associate-/l*`
388×	`associate-/l/`
340×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	77
1	339	77
2	4276	77

Stop Event

1×	node limit

Counts

3 → 316

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 2 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (log.f64 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1 (log.f64 (/.f64 1 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (*.f64 1 (neg.f64 (log.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))) (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (PI.f64))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2)) (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 (PI.f64))) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 2)) (log.f64 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 2)) (neg.f64 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64))))) (log.f64 (sqrt.f64 (/.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2))) (log.f64 (cbrt.f64 (/.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64))))) (*.f64 1 (log.f64 (sqrt.f64 (/.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 2 (PI.f64))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (/.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(*.f64 (log.f64 (PI.f64)) (log.f64 (PI.f64))) (*.f64 (log.f64 2) (log.f64 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 2 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (/.f64 2 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (/.f64 2 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (/.f64 2 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (/.f64 2 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (/.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (/.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 2 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simplify166.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1650×	`associate-/l*`
1064×	`associate-/r*`
998×	`associate-r`
798×	`associate-/l/`
736×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	765	23442
1	2065	22594

Stop Event

1×	node limit

Counts

340 → 494

Calls

Call 1

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

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (log.f64 f) (PI.f64))
✓	0.4b	(-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 48 to 27 computations (43.8% saved)

series2.0ms (0%)

Counts

3 → 16

Calls

6 calls:

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

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1558×	`associate-/l*`
908×	`distribute-rgt-in`
874×	`distribute-lft-in`
516×	`associate-/r/`
366×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	283	53
2	3987	53

Stop Event

1×	node limit

Counts

3 → 235

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (neg.f64 (log.f64 f)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (/.f64 (log.f64 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (*.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) 1) (fma.f64 (neg.f64 (/.f64 1 (PI.f64))) (log.f64 f) (/.f64 (log.f64 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) (fma.f64 (/.f64 (neg.f64 (log.f64 f)) (PI.f64)) 1 (/.f64 (log.f64 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-r`
888×	`times-frac`
832×	`associate-l`
656×	`associate-/l*`
656×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	630	14515
1	1812	13267

Stop Event

1×	node limit

Counts

251 → 365

Calls

Call 1

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (PI.f64)))
✓	1.0b	(/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2))
✓	1.0b	(pow.f64 (cbrt.f64 (PI.f64)) 2)
✓	1.0b	(cbrt.f64 (PI.f64))

Compiler

Compiled 76 to 43 computations (43.4% saved)

series3.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

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

0.0ms

-inf

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

0.0ms

inf

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

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`associate-*r/`
1512×	`associate-/r*`
1310×	`associate-*l/`
316×	`add-sqr-sqrt`
302×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	64
1	329	64
2	3934	64

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

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

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

simplify67.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1396×	`unswap-sqr`
1114×	`associate-*r/`
882×	`associate-/l/`
756×	`associate-*l/`
744×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	4294970878
1	584	3504
2	2452	3446

Stop Event

1×	node limit

Counts

136 → 160

Calls

Call 1

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

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

eval789.0ms (4%)

Compiler: Compiled 43865 to 30084 computations (31.4% saved)

prune412.0ms (2.1%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1344	13	1357
Fresh	9	15	24
Picked	1	0	1
Done	1	6	7
Total	1355	34	1389

Error

1.2b

Counts

1389 → 34

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.9b	(fma.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (.f64 f f) (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/24)))) (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
✓	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
	13.8b	(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))))) 3)
	63.0b	(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 8 (cbrt.f64 (PI.f64))))
	2.4b	(/.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))))))
	3.8b	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (cbrt.f64 (.f64 (PI.f64) -1/4)))))
✓	63.0b	(/.f64 (PI.f64) 8)
	2.4b	(/.f64 1 (.f64 (.f64 (PI.f64) -1/4) (/.f64 1 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64))))))))
✓	55.3b	(/.f64 -2 (PI.f64))
	2.4b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))))))
▶	3.2b	(.f64 (pow.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))) 3) 1/3) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)))
	2.4b	(.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
▶	2.3b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	2.4b	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
✓	2.4b	(.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (PI.f64)) (log.f64 (.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (.f64 (PI.f64) 1/8))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (*.f64 (PI.f64) 1/8))))
✓	60.5b	(.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)))
	2.3b	(.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)))
	2.5b	(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 2))
	3.3b	(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3))
	3.2b	(.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) (PI.f64)))
	3.5b	(*.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64))))
	3.8b	(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)))) (PI.f64)))
	2.3b	(.f64 -4 (/.f64 (.f64 (neg.f64 (PI.f64)) (+.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (log.f64 f))) (pow.f64 (PI.f64) 2)))
▶	2.2b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
	3.1b	(.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	3.3b	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 3)))
✓	2.3b	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
	2.4b	(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
▶	3.0b	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	3.0b	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	61.8b	(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) -1))

Compiler

Compiled 994 to 816 computations (17.9% saved)

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f))
	0.3b	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))
✓	1.0b	(*.f64 (pow.f64 (PI.f64) 2) 1/24)
	2.0b	(log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2))

Compiler

Compiled 155 to 102 computations (34.2% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite50.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`add-sqr-sqrt`
1328×	`*-un-lft-identity`
1236×	`add-cube-cbrt`
1226×	`add-cbrt-cube`
1212×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	163	15
2	1751	15

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (pow.f64 (PI.f64) 2) 1/24)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (sqrt.f64 1/24)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/576))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))))))

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1290×	`distribute-rgt-in`
1266×	`distribute-lft-in`
988×	`log-prod`
832×	`count-2`
638×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	297
1	90	231
2	326	165
3	1695	165
4	7569	165

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1)
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 1/24)) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/576))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/24))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))

Outputs
(-.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) 1)
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 1)
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 1/24)) 2)
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) 3)
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 4) 1/576))
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) 2)) 1/24))
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 3))
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24)))
(+.f64 (+.f64 1 (*.f64 (pow.f64 (PI.f64) 2) 1/24)) -1)
(+.f64 (*.f64 (pow.f64 (PI.f64) 2) 1/24) 0)
(*.f64 (pow.f64 (PI.f64) 2) 1/24)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`associate-/r*`
1154×	`associate-*r/`
1030×	`*-commutative`
800×	`associate-*l/`
688×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	229	61
2	2879	61

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

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

Outputs

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

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1244×	`associate-/r/`
918×	`associate-+l+`
802×	`associate-+r+`
768×	`distribute-lft-neg-out`
462×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	354	5201
1	805	5075
2	3769	5075

Stop Event

1×	node limit

Counts

193 → 201

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

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

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	0.5b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1124×	`associate-/r*`
900×	`distribute-rgt-in`
868×	`distribute-lft-in`
794×	`associate-/l*`
388×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	296	52
2	3835	52

Stop Event

1×	node limit

Counts

2 → 272

Calls

Call 1

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

Outputs

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simplify144.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1528×	`associate-/l*`
1000×	`associate-/r*`
844×	`associate-r`
734×	`associate-/l/`
694×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	683	19424
1	1894	19108

Stop Event

1×	node limit

Counts

292 → 430

Calls

Call 1

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 58 to 33 computations (43.1% saved)

series1.0ms (0%)

Counts

4 → 24

Calls

12 calls:

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

rewrite149.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`associate-/r*`
1208×	`associate-*r/`
1108×	`*-commutative`
844×	`associate-*l/`
680×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	78
1	267	78
2	3109	78

Stop Event

1×	node limit

Counts

4 → 266

Calls

Call 1

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

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

simplify136.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1322×	`associate-+r+`
1250×	`associate-+l+`
582×	`associate-/l*`
398×	`associate-r`
386×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	11722
1	1163	10184
2	4806	10100

Stop Event

1×	node limit

Counts

290 → 279

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

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 f (PI.f64)))
✓	0.5b	(.f64 (pow.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))) 3) 1/3) (/.f64 -4 (PI.f64)))
✓	0.7b	(pow.f64 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) 3)
✓	1.5b	(pow.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) 3) 1/3)

Compiler

Compiled 72 to 49 computations (31.9% saved)

series35.0ms (0.2%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	f	@	0	(pow.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) 3) 1/3)
2.0ms	f	@	inf	(pow.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) 3) 1/3)
2.0ms	f	@	-inf	(pow.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) 3) 1/3)
1.0ms	f	@	0	(.f64 (pow.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))) 3) 1/3) (/.f64 -4 (PI.f64)))
0.0ms	f	@	inf	(.f64 (pow.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))) 3) 1/3) (/.f64 -4 (PI.f64)))

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`associate-*r/`
1406×	`associate-*l/`
1076×	`associate-/r*`
356×	`add-sqr-sqrt`
334×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	92
1	405	92
2	4351	92

Stop Event

1×	node limit

Counts

4 → 236

Calls

Call 1

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

Outputs
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simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1216×	`associate-/l*`
952×	`associate-+r+`
634×	`associate-l`
600×	`associate-r`
588×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	563	11392
1	1375	9910
2	7076	9910

Stop Event

1×	node limit

Counts

272 → 315

Calls

Call 1

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

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

eval774.0ms (4%)

Compiler: Compiled 43292 to 28132 computations (35% saved)

prune521.0ms (2.7%)

Pruning

39 alts after pruning (31 fresh and 8 done)

	Pruned	Kept	Total
New	1643	20	1663
Fresh	12	11	23
Picked	1	0	1
Done	2	8	10
Total	1658	39	1697

Error

1.2b

Counts

1697 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(fma.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (.f64 f f) (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/24)))) (.f64 -4 (/.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64))))
	1.9b	(fma.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (.f64 f f) (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/24)))) (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
✓	63.0b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
	3.2b	(pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))) 3)
	63.0b	(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 8 (cbrt.f64 (PI.f64))))
	3.5b	(/.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
	2.4b	(/.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))))))
	3.8b	(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (cbrt.f64 (.f64 (PI.f64) -1/4)))))
✓	63.0b	(/.f64 (PI.f64) 8)
	2.4b	(/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
	2.4b	(/.f64 1 (.f64 (.f64 (PI.f64) -1/4) (/.f64 1 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64))))))))
✓	55.3b	(/.f64 -2 (PI.f64))
	3.2b	(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)))
	2.4b	(.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
✓	2.3b	(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
	2.4b	(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
✓	2.4b	(.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (PI.f64)) (log.f64 (.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (.f64 (PI.f64) 1/8))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (*.f64 (PI.f64) 1/8))))
	2.4b	(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
✓	60.5b	(.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)))
	2.3b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
	3.1b	(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
	3.1b	(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
	2.5b	(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
	3.2b	(.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (PI.f64)))
	2.3b	(.f64 -4 (/.f64 (.f64 (neg.f64 (PI.f64)) (+.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (log.f64 f))) (pow.f64 (PI.f64) 2)))
	60.9b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) f))) 1))) (PI.f64)))
	61.0b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (log.f64 (exp.f64 f))))) (PI.f64)))
✓	2.2b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
	2.3b	(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
	60.9b	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (.f64 f (PI.f64)))) 1))) (PI.f64)))))
✓	3.0b	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	3.0b	(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
	61.8b	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64))) 1))
	13.1b	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
	61.9b	(log.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))) 1))

Compiler

Compiled 605 to 498 computations (17.7% saved)

regimes133.0ms (0.7%)

Counts

71 → 1

Calls

Call 1

Inputs
(/.f64 -2 (PI.f64))
(/.f64 (PI.f64) 8)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 -4 (PI.f64)) -2)) -2)
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(*.f64 (log.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f)) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))))))
(/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 -4 (/.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))))))
(.f64 (/.f64 1 (/.f64 1 (log.f64 (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(/.f64 1 (.f64 (.f64 (PI.f64) -1/4) (/.f64 1 (log.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64))))))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(.f64 (-.f64 (log.f64 4) (log.f64 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(log1p.f64 (+.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) -1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64))) 1))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
(.f64 -4 (pow.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) -1))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64)))
(.f64 (.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(.f64 (-.f64 (log.f64 (/.f64 2 (PI.f64))) (log.f64 (.f64 f 1/2))) (/.f64 -4 (PI.f64)))
(log.f64 (-.f64 (+.f64 1 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))) 1))
(/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (/.f64 8 (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) 1/8)) 2) (cbrt.f64 (*.f64 (PI.f64) 1/8)))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(*.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)))))
(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 -4 (/.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(.f64 -4 (/.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) (log.f64 (exp.f64 f))))) (PI.f64)))
(.f64 (exp.f64 (log.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (expm1.f64 (log1p.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (/.f64 -4 (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 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 3) (PI.f64)))
(.f64 -4 (/.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 3) (PI.f64)))
(.f64 -4 (pow.f64 (cbrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 3))
(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 2))
(*.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))) 2))
(pow.f64 (cbrt.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))) 3)
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) f))) 1))) (PI.f64)))
(.f64 -4 (pow.f64 (pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 3) 1/3))
(.f64 (-.f64 (log.f64 2) (+.f64 (log.f64 (PI.f64)) (log.f64 (.f64 1/2 f)))) (/.f64 -4 (PI.f64)))
(.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 3) 1/3) (/.f64 -4 (PI.f64)))
(.f64 (pow.f64 (pow.f64 (log.f64 (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))) 3) 1/3) (/.f64 -4 (PI.f64)))
(pow.f64 (cbrt.f64 (log.f64 (pow.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64))))) 3)
(.f64 -4 (/.f64 (.f64 (neg.f64 (PI.f64)) (+.f64 (log.f64 (*.f64 (PI.f64) 1/4)) (log.f64 f))) (pow.f64 (PI.f64) 2)))
(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (-.f64 (exp.f64 (log1p.f64 (.f64 f (PI.f64)))) 1))) (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 f) (PI.f64))) 3)))
(*.f64 -4 (/.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64))))
(/.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -4) (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))
(.f64 -4 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (cbrt.f64 (PI.f64)))))
(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 2 (PI.f64))) (PI.f64)) (+.f64 (/.f64 (log.f64 1/2) (PI.f64)) (/.f64 (log.f64 f) (PI.f64)))))
(.f64 -4 (/.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2) (cbrt.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (.f64 (cbrt.f64 (.f64 (PI.f64) -1/4)) (cbrt.f64 (.f64 (PI.f64) -1/4)))))
(.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)))
(fma.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (.f64 f f) (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/24)))) (*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))))
(fma.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (.f64 f f) (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/24)))) (.f64 -4 (/.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (.f64 (PI.f64) 1/8))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (PI.f64) 1/8))) (cbrt.f64 (*.f64 (PI.f64) 1/8))))
(.f64 -4 (/.f64 (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (log.f64 f)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 f))) (pow.f64 (cbrt.f64 (log.f64 f)) 2) (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)))
(fma.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (.f64 f f) (/.f64 (PI.f64) (.f64 (pow.f64 (PI.f64) 2) 1/24)))) (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (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))))))))
(fma.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (.f64 f f) (/.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 (PI.f64) 1/16) (.f64 (PI.f64) -1/48)))))) (*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))
(.f64 (log.f64 (+.f64 (/.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2) f) (+.f64 (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (*.f64 (PI.f64) 1/2) 2) 1/192)) -2))) 0))) (/.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)))
(fma.f64 -2 (+.f64 (/.f64 (.f64 f (.f64 (PI.f64) 0)) (PI.f64)) (/.f64 (.f64 f f) (/.f64 (PI.f64) (fma.f64 (.f64 (PI.f64) 1/2) (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 1/192)) -2)) (.f64 (pow.f64 (.f64 (PI.f64) 1/2) 2) 0))))) (.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 (/.f64 2 (PI.f64)) 1/2)) (log.f64 f)) (PI.f64))))

Outputs

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

Calls

6 calls:

33.0ms	f
31.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
12.0ms	(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))))))
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)))))))
9.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))

Results

Error	Segments	Branch
1.9b	1	`f`
1.9b	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))))))))`
1.9b	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)))))))`
1.9b	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))))))`
1.9b	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)))))`
1.9b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1330 to 924 computations (30.5% saved)

regimes49.0ms (0.2%)

Counts

59 → 1

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

Results

Error	Segments	Branch
2.2b	1	`f`

Compiler

Compiled 779 to 537 computations (31.1% saved)

regimes5.0ms (0%)

Accuracy

Total -7.7b remaining (-14%)

Threshold costs -7.7b (-14%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
55.3b	1	`f`

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	145
1	41	145

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Compiler

Compiled 47 to 36 computations (23.4% saved)

soundness588.0ms (3%)

Algorithm

5×	egg-herbie

Rules

1764×	`distribute-lft-in`
1730×	`distribute-lft-in`
1586×	`associate-/r/`
1530×	`associate-+l-`
1452×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	52	121
2	130	117
3	326	109
4	1011	109
5	2615	109
6	5937	109
0	546	9058
1	1496	6286
2	5683	6282
0	407	6444
1	1006	4166
2	4550	3880
0	417	5773
1	1329	4785
2	6356	4785
0	443	9881
1	1205	8773
2	5542	8773

Stop Event

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

Compiler

Compiled 1196 to 848 computations (29.1% saved)

end30.0ms (0.2%)

Compiler: Compiled 45 to 32 computations (28.9% saved)