Details

analyze316.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	25%	0%	0%	3
0%	0%	62.5%	0%	25%	0%	12.5%	4
0%	0%	56.2%	0%	25%	0%	18.7%	5
6.3%	3.1%	46.9%	0%	25%	3.1%	21.9%	6
6.5%	3.1%	45.3%	0%	25%	3.1%	23.4%	7
6.6%	3.1%	44.5%	0%	25%	3.1%	24.2%	8
7.4%	3.5%	44.1%	0%	25%	3.1%	24.2%	9
7.8%	3.7%	43.9%	0%	25%	3.1%	24.2%	10
8%	3.8%	43.8%	0%	25%	3.1%	24.2%	11
8%	3.8%	43.8%	0%	25%	3.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample9.1s (46%)

Results

3.1s	4043×	body	1024	valid
2.9s	4024×	body	1024	invalid
939.0ms	2004×	body	512	valid
916.0ms	1944×	body	512	invalid
643.0ms	495×	body	2048	valid
416.0ms	1714×	body	256	valid
210.0ms	995×	body	256	invalid
1.0ms	5×	body	256	unsamplable
1.0ms	1×	body	2048	invalid

Bogosity

preprocess92.0ms (0.5%)

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)

simplify65.0ms (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

61.5b

Counts

9 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.5b	(.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)))
▶	61.5b	(.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

▶

61.5b

(*.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)))

▶

61.5b

(*.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)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))
✓	0.2b	(*.f64 (PI.f64) f)
✓	1.3b	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))))
✓	6.1b	(-.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)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite137.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1462×	`associate-/l*`
1080×	`associate-/r/`
568×	`associate-/l/`
346×	`add-sqr-sqrt`
336×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	162
1	347	162
2	4699	162

Stop Event

1×	node limit

Counts

4 → 225

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

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

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

258×	`*-commutative`
142×	`+-commutative`
126×	`sqr-pow`
116×	`associate-*l/`
58×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	599	2951
1	2467	2951

Stop Event

1×

unsound

Counts

273 → 270

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
(*.f64 f (PI.f64))
1
(+.f64 1 (.f64 -1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 -1/4 (.f64 f (PI.f64)))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 -1/4 (.f64 f (PI.f64))))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(+.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)))
(+.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))
(+.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))))
(+.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))))
(+.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))))
(+.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))))
(+.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))))
(+.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 (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))))
(+.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (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)))
(+.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (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)))
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(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(pow.f64 (*.f64 (PI.f64) f) 1)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 3)))
(cbrt.f64 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) f)))
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) 1)
(*.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 1)
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
(*.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)))
(*.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))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 1)
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2)
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 3)
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3) 1/3)
(pow.f64 (exp.f64 1) (.f64 (PI.f64) (.f64 f 1/4)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)
(pow.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) f)) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) f)) 1/2))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)
(pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))
(pow.f64 (pow.f64 (exp.f64 -1/4) (sqrt.f64 (.f64 (PI.f64) f))) (sqrt.f64 (.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (.f64 (PI.f64) f)))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))

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 (pow.f64 (PI.f64) -2) 1/192) (.f64 f 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) -2) f (.f64 (.f64 (pow.f64 (PI.f64) -2) 1/192) (*.f64 f 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) -2) f (fma.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) -2) 1/192) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 -2 (.f64 (.f64 (PI.f64) -2) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (+.f64 (/.f64 -2 (.f64 (.f64 (PI.f64) -2) f)) (.f64 1/4 (/.f64 (PI.f64) (*.f64 (PI.f64) -2)))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (+.f64 (/.f64 -2 (.f64 (.f64 (PI.f64) -2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (.f64 f (+.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) -2)) (.f64 (PI.f64) -2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) -2) 1/192) (pow.f64 (.f64 (PI.f64) -2) -2)) -2))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (fma.f64 (.f64 f f) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) -2) (.f64 (PI.f64) -2)) -2) (/.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) -2) (/.f64 (.f64 (PI.f64) -2) (.f64 (pow.f64 (PI.f64) -2) 1/192)))) (+.f64 (/.f64 -2 (.f64 (.f64 (PI.f64) -2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) -2)) (.f64 f (+.f64 (/.f64 (.f64 1/16 (pow.f64 (PI.f64) -2)) (.f64 (PI.f64) -2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) -2) 1/192) (pow.f64 (*.f64 (PI.f64) -2) -2)) -2)))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(*.f64 (PI.f64) f)
1
-2
(+.f64 1 (.f64 -1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 -1/4 (.f64 (PI.f64) f)) -2)
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 -1/4 (.f64 f (PI.f64)))))
(fma.f64 1/32 (.f64 (PI.f64) f) (+.f64 (.f64 -1/4 (*.f64 (PI.f64) f)) -2))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))) (.f64 -1/4 (.f64 f (PI.f64))))))
(fma.f64 1/32 (.f64 (PI.f64) f) (+.f64 (fma.f64 -1/384 (.f64 (PI.f64) f) (.f64 -1/4 (.f64 (PI.f64) f))) -2))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(+.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)))
-2
(+.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))
-2
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(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 3) (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 3)))
-2
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
-2
(exp.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))))
-2
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))) 1))
-2
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) (-.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 (exp.f64 (log1p.f64 (*.f64 (PI.f64) f))) 1)
(*.f64 (PI.f64) f)
(pow.f64 (*.f64 (PI.f64) f) 1)
(*.f64 (PI.f64) f)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) 2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) f)) -2)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) f)) 3)
(*.f64 (PI.f64) f)
(pow.f64 (pow.f64 (*.f64 (PI.f64) f) 3) 1/3)
(*.f64 (PI.f64) f)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) f) 2))
(sqrt.f64 (*.f64 (PI.f64) f))
(log.f64 (pow.f64 (exp.f64 f) (PI.f64)))
(*.f64 (PI.f64) (log.f64 (exp.f64 f)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) f))))
(*.f64 (PI.f64) f)
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) f) 3))
(*.f64 (PI.f64) f)
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 f 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 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (log.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) f)) 1))
(*.f64 (PI.f64) f)
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))) 1)
-2
(*.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 1)
-2
(*.f64 1 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))
-2
(*.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)))
-2
(*.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))
-2
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
-2
(pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 1)
-2
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 2)
-2
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)) 3)
-2
(pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)
-2
(pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) 1/4)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3) 1/3)
-2
(pow.f64 (exp.f64 1) (.f64 (PI.f64) (.f64 f 1/4)))
(pow.f64 -2 (.f64 (PI.f64) (.f64 1/4 f)))
(pow.f64 (exp.f64 (*.f64 (PI.f64) -1/4)) f)
(pow.f64 (pow.f64 (exp.f64 (PI.f64)) -1/4) f)
(pow.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (PI.f64) f)) 1/2)) (.f64 (sqrt.f64 (.f64 (PI.f64) f)) 1/2))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (.f64 (PI.f64) f))) -2) (.f64 -2 (sqrt.f64 (*.f64 (PI.f64) f))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))) 2)) (cbrt.f64 (.f64 (PI.f64) (.f64 f 1/4))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 1/4 f))) -2)) (cbrt.f64 (.f64 (PI.f64) (.f64 1/4 f))))
(pow.f64 (pow.f64 (exp.f64 -1/4) (PI.f64)) f)
(pow.f64 (pow.f64 (exp.f64 -1/4) f) (PI.f64))
(pow.f64 (pow.f64 (exp.f64 -1/4) (sqrt.f64 (.f64 (PI.f64) f))) (sqrt.f64 (.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 (cbrt.f64 (.f64 (PI.f64) f)) 2)) (cbrt.f64 (.f64 (PI.f64) f)))
(pow.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (.f64 (PI.f64) f))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 2))
(sqrt.f64 -2)
(log.f64 (exp.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
-2
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4))))
-2
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4) 3))
-2
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
-2
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (exp.f64 f) (PI.f64)) -1/4)))
-2

localize105.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.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)))
✓	0.1b	(pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))
✓	1.3b	(/.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)))
✓	6.1b	(-.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)

series164.0ms (0.8%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
67.0ms	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)))
51.0ms	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)))
23.0ms	f	@	inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f))
16.0ms	f	@	-inf	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f))
3.0ms	f	@	0	(.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)))

rewrite137.0ms (0.7%)

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)))
(pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4))
(.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)))

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (+.f64 (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (+.f64 (fma.f64 (neg.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 (PI.f64) -1/4))) (fma.f64 (neg.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) 1 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)) (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4))) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (exp.f64 f) (.f64 (PI.f64) -1/4)))) 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simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1464×	`associate-+r+`
1000×	`associate-+l+`
702×	`+-commutative`
618×	`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 → 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)))))
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(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))

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 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/192 (pow.f64 f 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))))))
(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 (.f64 (PI.f64) 1/2) f (.f64 (pow.f64 (PI.f64) 3) (.f64 1/192 (pow.f64 f 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)))))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(fma.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440) (fma.f64 (.f64 (PI.f64) 1/2) f (fma.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 7) (*.f64 1/41287680 (pow.f64 f 7))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(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 2 (.f64 (PI.f64) (.f64 1/2 f))) 0)
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))
(+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2))))
(+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2))) 0))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
(fma.f64 -1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (fma.f64 (.f64 f f) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 (PI.f64) 1/2)) 0) (/.f64 (.f64 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) 0) (/.f64 (.f64 (PI.f64) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/192)))) (+.f64 (/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f)) (fma.f64 1/4 (/.f64 (PI.f64) (.f64 (PI.f64) 1/2)) (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 -2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))))))
(+.f64 (+.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0) (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))) (.f64 f (*.f64 f 0)))
(+.f64 (fma.f64 (.f64 f f) 0 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (+.f64 (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) 0))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))
1
(+.f64 1 (.f64 1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 (.f64 1/4 f) (PI.f64)) 1)
(fma.f64 1/4 (*.f64 (PI.f64) f) 1)
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/4 (.f64 f (PI.f64)))))
(fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 (.f64 (.f64 1/4 f) (PI.f64)) 1))
(fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (fma.f64 1/4 (*.f64 (PI.f64) f) 1))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 1/4 (.f64 f (PI.f64))) (.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))
(fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (.f64 f f)) (+.f64 1 (fma.f64 1/4 (.f64 (PI.f64) f) (.f64 (*.f64 1/384 (pow.f64 f 3)) (pow.f64 (PI.f64) 3)))))
(+.f64 (fma.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (.f64 (PI.f64) (.f64 1/4 f))) (fma.f64 1/32 (.f64 (pow.f64 (PI.f64) 2) (*.f64 f f)) 1))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
(exp.f64 (.f64 1/4 (.f64 f (PI.f64))))
(pow.f64 (exp.f64 1/4) (*.f64 (PI.f64) f))
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(*.f64 (log.f64 (/.f64 2 0)) (/.f64 4 (PI.f64)))
(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)
(.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)))
(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)
(.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)))
(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)
(.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)))
(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))
(sqrt.f64 (pow.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 f) (*.f64 (PI.f64) -1/4))) 0))) 2))
(fabs.f64 (*.f64 (log.f64 (/.f64 2 0)) (/.f64 4 (PI.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)))
(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)))
(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)))))
(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))
(.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)))
(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)))
(.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)))
(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)))
(.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)))
(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))))))
(.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)))))

eval1.0s (5.2%)

Compiler: Compiled 32627 to 20098 computations (38.4% saved)

prune293.0ms (1.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	693	16	709
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	694	17	711

Error

2.2b

Counts

711 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	64.0b	(/.f64 (log.f64 (/.f64 2 0)) (/.f64 (PI.f64) -4))
▶	2.9b	(.f64 (log.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 -4 (PI.f64)))
	2.6b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (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 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))
	61.5b	(.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8))) (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)))
	61.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 1) (.f64 (PI.f64) (.f64 f 1/4)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	61.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (+.f64 1 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	61.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
✓	61.5b	(.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)))
	63.0b	(.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)) 1))) (/.f64 -4 (PI.f64)))
	2.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.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)))
▶	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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)))
	2.9b	(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (/.f64 -4 (PI.f64)))
	45.5b	(.f64 (log.f64 (/.f64 -2 (.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
▶	2.6b	(.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) 0))) (/.f64 -4 (PI.f64)))
▶	2.5b	(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))

Compiler

Compiled 953 to 710 computations (25.5% saved)

localize31.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
✓	0.4b	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
✓	2.0b	(log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2)))

Compiler

Compiled 55 to 39 computations (29.1% saved)

series44.0ms (0.2%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
10.0ms	f	@	-inf	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
6.0ms	f	@	inf	(/.f64 (-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64))
5.0ms	f	@	-inf	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))
0.0ms	f	@	0	(-.f64 (log.f64 (/.f64 2 (*.f64 (PI.f64) 1/2))) (log.f64 f))

rewrite112.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`associate-/l*`
732×	`distribute-lft-in`
618×	`associate-/l/`
504×	`associate-/r/`
312×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	77
1	302	59
2	4050	59

Stop Event

1×	node limit

Counts

3 → 211

Calls

Call 1

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

Outputs

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

simplify173.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1156×	`associate--r+`
880×	`fma-def`
842×	`associate--l+`
640×	`associate-r`
544×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	518	10609
1	1331	9539
2	6699	9539

Stop Event

1×	node limit

Counts

235 → 317

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

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

localize13.0ms (0.1%)

Compiler: Compiled 23 to 21 computations (8.7% saved)

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log.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))))))
✓	0.2b	(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
✓	0.3b	(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)))))
✓	0.5b	(.f64 (log.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 -4 (PI.f64)))

Compiler

Compiled 125 to 91 computations (27.2% saved)

series78.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
54.0ms	f	@	-inf	(.f64 (log.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 -4 (PI.f64)))
16.0ms	f	@	0	(.f64 (log.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 -4 (PI.f64)))
7.0ms	f	@	inf	(.f64 (log.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 -4 (PI.f64)))
0.0ms	f	@	0	(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
0.0ms	f	@	0	(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)))))

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1316×	`associate-/l*`
470×	`add-sqr-sqrt`
450×	`pow1`
450×	`*-un-lft-identity`
440×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	314
1	472	106
2	6272	82

Stop Event

1×	node limit

Counts

4 → 181

Calls

Call 1

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

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

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1856×	`associate-/r*`
810×	`associate--r+`
654×	`associate-+l-`
644×	`+-commutative`
608×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	368	6165
1	832	6047
2	3894	6041

Stop Event

1×	node limit

Counts

229 → 249

Calls

Call 1

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

localize166.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))
✓	1.0b	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	1.0b	(fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))

Compiler

Compiled 259 to 205 computations (20.8% saved)

series2.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))

0.0ms

inf

(*.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))

0.0ms

-inf

(*.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`associate-/r/`
488×	`associate-/l/`
472×	`distribute-lft-in`
448×	`add-sqr-sqrt`
426×	`*-un-lft-identity`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	172
1	474	132
2	5842	116

Stop Event

1×	node limit

Counts

4 → 84

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (PI.f64) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 2) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (PI.f64) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 3 (log.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (cbrt.f64 1/192)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/36864 (pow.f64 (PI.f64) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 f (.f64 1/8 (PI.f64))) (.f64 f (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 f (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))) (.f64 f (.f64 1/8 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/8 (PI.f64)) f) (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f) (.f64 (.f64 1/8 (PI.f64)) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 f (.f64 (.f64 1/8 (PI.f64)) 1)) (.f64 f (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 f (.f64 1/8 (PI.f64)))) (.f64 1 (.f64 f (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 1/8 (PI.f64)) f)) (.f64 1 (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 f) (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) 3) (pow.f64 f 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f)))))))

simplify121.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1108×	`unswap-sqr`
874×	`distribute-lft-in`
862×	`distribute-rgt-in`
752×	`*-commutative`
658×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2298
1	491	2098
2	1874	1380
3	7725	1380

Stop Event

1×	node limit

Counts

96 → 102

Calls

Call 1

Inputs
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))
(+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 (*.f64 1/8 (PI.f64)) 1))
(+.f64 (.f64 1/8 (PI.f64)) (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(+.f64 (.f64 (.f64 1/8 (PI.f64)) 1) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(+.f64 (.f64 1 (.f64 (.f64 1/8 (PI.f64)) 1)) (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))))) 1)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))) (-.f64 1 (.f64 1/8 (PI.f64))))
(-.f64 (+.f64 (.f64 1/8 (PI.f64)) (exp.f64 (log1p.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))) 1)
(-.f64 (+.f64 (.f64 (.f64 1/8 (PI.f64)) 1) (exp.f64 (log1p.f64 (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))) 1)
(.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) 1)
(.f64 1 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))))
(.f64 (sqrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))) (sqrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64)))))
(.f64 (cbrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))) 2) (cbrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64)))))
(/.f64 (-.f64 (.f64 (.f64 1/8 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) 2)) (-.f64 (.f64 1/8 (PI.f64)) (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))
(/.f64 (+.f64 (pow.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) 3) (pow.f64 (.f64 1/8 (PI.f64)) 3)) (+.f64 (.f64 (.f64 1/8 (PI.f64)) (.f64 1/8 (PI.f64))) (-.f64 (pow.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) 2) (.f64 (.f64 1/8 (PI.f64)) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))))
(pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) 1)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))) 3)
(pow.f64 (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) 2))
(log.f64 (exp.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))
(exp.f64 (log.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(.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)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(sqrt.f64 (pow.f64 (PI.f64) 6))
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(pow.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2)) 2)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(sqrt.f64 (*.f64 1/36864 (pow.f64 (PI.f64) 6)))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(+.f64 (.f64 f (.f64 1/8 (PI.f64))) (.f64 f (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))
(+.f64 (.f64 f (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))) (.f64 f (.f64 1/8 (PI.f64))))
(+.f64 (.f64 (.f64 1/8 (PI.f64)) f) (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f))
(+.f64 (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f) (.f64 (.f64 1/8 (PI.f64)) f))
(+.f64 (.f64 f (.f64 (.f64 1/8 (PI.f64)) 1)) (.f64 f (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))
(+.f64 (.f64 1 (.f64 f (.f64 1/8 (PI.f64)))) (.f64 1 (.f64 f (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))))
(+.f64 (.f64 1 (.f64 (.f64 1/8 (PI.f64)) f)) (.f64 1 (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f))) 1)
(pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f) 1)
(pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f)) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f)) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f) 2))
(log.f64 (pow.f64 (exp.f64 f) (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 f 3)))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) 3)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f)))
(exp.f64 (log.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f)) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f)))

Outputs
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (+.f64 (.f64 -1/24 (PI.f64)) (*.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 (*.f64 1/8 (PI.f64)) 1))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(+.f64 (.f64 1/8 (PI.f64)) (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(+.f64 (.f64 (.f64 1/8 (PI.f64)) 1) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(+.f64 (.f64 1 (.f64 (.f64 1/8 (PI.f64)) 1)) (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))))) 1)
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))) (-.f64 1 (.f64 1/8 (PI.f64))))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(-.f64 (+.f64 (.f64 1/8 (PI.f64)) (exp.f64 (log1p.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))) 1)
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(-.f64 (+.f64 (.f64 (.f64 1/8 (PI.f64)) 1) (exp.f64 (log1p.f64 (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))) 1)
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) 1)
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(.f64 1 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(.f64 (sqrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))) (sqrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64)))))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(.f64 (cbrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64)))) 2))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))) 2) (cbrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64)))))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(/.f64 (-.f64 (.f64 (.f64 1/8 (PI.f64)) (.f64 1/8 (PI.f64))) (pow.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) 2)) (-.f64 (.f64 1/8 (PI.f64)) (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))
(/.f64 (-.f64 (.f64 1/64 (pow.f64 (PI.f64) 2)) (pow.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) 2)) (-.f64 (.f64 (PI.f64) 1/8) (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 2) 1/64) (pow.f64 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))) 2)) (-.f64 (.f64 (PI.f64) 1/8) (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)))))
(/.f64 (.f64 (.f64 (PI.f64) 1/12) (fma.f64 (PI.f64) 1/8 (.f64 1/24 (PI.f64)))) (fma.f64 (PI.f64) 1/8 (.f64 1/24 (PI.f64))))
(/.f64 (+.f64 (pow.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) 3) (pow.f64 (.f64 1/8 (PI.f64)) 3)) (+.f64 (.f64 (.f64 1/8 (PI.f64)) (.f64 1/8 (PI.f64))) (-.f64 (pow.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) 2) (.f64 (.f64 1/8 (PI.f64)) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))))
(/.f64 (+.f64 (/.f64 -8 (pow.f64 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48) 3)) (.f64 1/512 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 1/64 (pow.f64 (PI.f64) 2)) (-.f64 (pow.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) 2) (.f64 (.f64 (PI.f64) 1/8) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))))
(/.f64 (fma.f64 1/512 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))) 3)) (fma.f64 1/64 (pow.f64 (PI.f64) 2) (.f64 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))) (-.f64 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))) (.f64 (PI.f64) 1/8)))))
(/.f64 (fma.f64 (pow.f64 (PI.f64) 3) 1/512 (pow.f64 (.f64 -1/24 (PI.f64)) 3)) (-.f64 (pow.f64 (.f64 -1/24 (PI.f64)) 2) (*.f64 (pow.f64 (PI.f64) 2) -1/48)))
(pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) 1)
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(pow.f64 (sqrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))) 2)
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(pow.f64 (cbrt.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))) 3)
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(pow.f64 (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) 3) 1/3)
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(sqrt.f64 (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) 2))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(log.f64 (exp.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))))))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(cbrt.f64 (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) 3))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(expm1.f64 (log1p.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(exp.f64 (log.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(exp.f64 (.f64 (log.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64)))) 1))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(log1p.f64 (expm1.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))
(fma.f64 1/8 (PI.f64) (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))
(fma.f64 (PI.f64) 1/8 (/.f64 -1/24 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2))))
(*.f64 (PI.f64) 1/12)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (PI.f64) 3))) 1)
(pow.f64 (PI.f64) 3)
(*.f64 (PI.f64) (pow.f64 (PI.f64) 2))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 2) (PI.f64))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(*.f64 1 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(pow.f64 (PI.f64) 3)
(*.f64 (pow.f64 (PI.f64) 3/2) (pow.f64 (PI.f64) 3/2))
(pow.f64 (PI.f64) 3)
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64))))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (PI.f64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (PI.f64) 4))))
(.f64 (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 4))) (cbrt.f64 (pow.f64 (PI.f64) 2)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 4)) (.f64 (PI.f64) (cbrt.f64 (pow.f64 (PI.f64) 2))))
(.f64 (PI.f64) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (pow.f64 (PI.f64) 4))))
(.f64 (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (pow.f64 (PI.f64) 2))) (cbrt.f64 (PI.f64)))
(.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 2) (cbrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) 2) (.f64 (cbrt.f64 (pow.f64 (PI.f64) 2)) (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) 3) (pow.f64 (sqrt.f64 (PI.f64)) 3))
(pow.f64 (PI.f64) 3)
(sqrt.f64 (pow.f64 (PI.f64) 6))
(pow.f64 (PI.f64) 3)
(log.f64 (exp.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (PI.f64) 3))))
(pow.f64 (PI.f64) 3)
(cbrt.f64 (pow.f64 (pow.f64 (PI.f64) 3) 3))
(pow.f64 (PI.f64) 3)
(expm1.f64 (log1p.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(exp.f64 (*.f64 3 (log.f64 (PI.f64))))
(pow.f64 (PI.f64) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (PI.f64))) 1))
(pow.f64 (PI.f64) 3)
(log1p.f64 (expm1.f64 (pow.f64 (PI.f64) 3)))
(pow.f64 (PI.f64) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (sqrt.f64 1/192) (pow.f64 (PI.f64) 3/2)) 2)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (*.f64 (PI.f64) (cbrt.f64 1/192)) 3)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3) 1/3)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(sqrt.f64 (*.f64 1/36864 (pow.f64 (PI.f64) 6)))
(sqrt.f64 (*.f64 (pow.f64 (PI.f64) 6) 1/36864))
(log.f64 (pow.f64 (exp.f64 1/192) (pow.f64 (PI.f64) 3)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 3))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192)) 1))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192)))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(+.f64 (.f64 f (.f64 1/8 (PI.f64))) (.f64 f (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))
(.f64 f (.f64 (PI.f64) 1/12))
(+.f64 (.f64 f (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))) (.f64 f (.f64 1/8 (PI.f64))))
(.f64 f (.f64 (PI.f64) 1/12))
(+.f64 (.f64 (.f64 1/8 (PI.f64)) f) (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f))
(.f64 f (.f64 (PI.f64) 1/12))
(+.f64 (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f) (.f64 (.f64 1/8 (PI.f64)) f))
(.f64 f (.f64 (PI.f64) 1/12))
(+.f64 (.f64 f (.f64 (.f64 1/8 (PI.f64)) 1)) (.f64 f (/.f64 -2 (*.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48))))
(.f64 f (.f64 (PI.f64) 1/12))
(+.f64 (.f64 1 (.f64 f (.f64 1/8 (PI.f64)))) (.f64 1 (.f64 f (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)))))
(.f64 f (.f64 (PI.f64) 1/12))
(+.f64 (.f64 1 (.f64 (.f64 1/8 (PI.f64)) f)) (.f64 1 (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f)))
(.f64 f (.f64 (PI.f64) 1/12))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f))) 1)
(.f64 f (.f64 (PI.f64) 1/12))
(pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f) 1)
(.f64 f (.f64 (PI.f64) 1/12))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f)) 2)
(.f64 f (.f64 (PI.f64) 1/12))
(pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f)) 3)
(.f64 f (.f64 (PI.f64) 1/12))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f) 3) 1/3)
(.f64 f (.f64 (PI.f64) 1/12))
(sqrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f) 2))
(.f64 f (.f64 (PI.f64) 1/12))
(log.f64 (pow.f64 (exp.f64 f) (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64)))))
(.f64 f (.f64 (PI.f64) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f))))
(.f64 f (.f64 (PI.f64) 1/12))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f) 3))
(.f64 f (.f64 (PI.f64) 1/12))
(cbrt.f64 (.f64 (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) 3) (pow.f64 f 3)))
(.f64 f (.f64 (PI.f64) 1/12))
(cbrt.f64 (.f64 (pow.f64 f 3) (pow.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) 3)))
(.f64 f (.f64 (PI.f64) 1/12))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f)))
(.f64 f (.f64 (PI.f64) 1/12))
(exp.f64 (log.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f)))
(.f64 f (.f64 (PI.f64) 1/12))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (.f64 1/8 (PI.f64))) f)) 1))
(.f64 f (.f64 (PI.f64) 1/12))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) (*.f64 1/8 (PI.f64))) f)))
(.f64 f (.f64 (PI.f64) 1/12))

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 f (PI.f64))
✓	1.3b	(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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)))
✓	1.9b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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))))
	6.1b	(-.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 4)) (pow.f64 (exp.f64 (*.f64 -1/4 (PI.f64))) f))

Compiler

Compiled 161 to 101 computations (37.3% saved)

series52.0ms (0.3%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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))))
7.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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))))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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))))
0.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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)))
0.0ms	f	@	inf	(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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)))

rewrite108.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`associate-/r*`
472×	`add-sqr-sqrt`
460×	`*-un-lft-identity`
456×	`pow1`
450×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	195
1	473	195
2	6439	195

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs

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

Outputs

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

simplify153.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1682×	`associate-*r/`
1414×	`associate-*l/`
618×	`+-commutative`
538×	`associate-r`
494×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	338	11287
1	945	11287
2	4224	11287

Stop Event

1×	node limit

Counts

125 → 117

Calls

Call 1

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

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

eval529.0ms (2.7%)

Compiler: Compiled 26937 to 18520 computations (31.2% saved)

prune225.0ms (1.1%)

Pruning

32 alts after pruning (29 fresh and 3 done)

	Pruned	Kept	Total
New	875	23	898
Fresh	5	6	11
Picked	0	1	1
Done	3	2	5
Total	883	32	915

Error

1.9b

Counts

915 → 32

Alt Table

Click to see full alt table

Status	Error	Program
✓	64.0b	(/.f64 (log.f64 (/.f64 2 0)) (/.f64 (PI.f64) -4))
	2.9b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	3.8b	(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/3) (/.f64 -4 (PI.f64)))
	2.7b	(.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 3 (log.f64 (cbrt.f64 f)))) (/.f64 -4 (PI.f64)))
	2.6b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
▶	2.6b	(*.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (neg.f64 (log.f64 (/.f64 (.f64 f (PI.f64)) 4))) (/.f64 -4 (PI.f64)))
	2.9b	(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))
	61.5b	(.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8))) (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)))
	61.9b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 1) (.f64 (PI.f64) (.f64 f 1/4)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	61.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
✓	61.5b	(.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)))
▶	63.0b	(.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)) 1))) (/.f64 -4 (PI.f64)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.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)))
	2.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (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 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))
✓	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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)))
	2.6b	(.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (+.f64 (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f) (.f64 (*.f64 1/8 (PI.f64)) f)) 0))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 f (*.f64 (PI.f64) 1/12)) 0))) (/.f64 -4 (PI.f64)))
	3.6b	(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	3.1b	(.f64 -4 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 2))
	2.9b	(.f64 -4 (/.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
	2.8b	(.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1)) (PI.f64)))
▶	2.8b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
▶	2.8b	(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
	2.6b	(*.f64 -4 (-.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
	2.9b	(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
▶	3.5b	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	3.5b	(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	62.3b	(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))) 1))
	12.8b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))

Compiler

Compiled 1195 to 930 computations (22.2% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1 f))
✓	0.2b	(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
✓	0.5b	(*.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 45 to 34 computations (24.4% saved)

series23.0ms (0.1%)

Counts

4 → 28

Calls

9 calls:

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

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1112×	`associate-/r*`
970×	`distribute-lft-in`
530×	`associate-/l*`
328×	`add-sqr-sqrt`
316×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	86
1	336	74
2	4222	74

Stop Event

1×	node limit

Counts

4 → 356

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f))) (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))) (.f64 (neg.f64 (log.f64 f)) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (neg.f64 (log.f64 f)) (/.f64 4 (PI.f64))) (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64))))) (.f64 1 (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 f)))) (.f64 1 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 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simplify163.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1788×	`associate-/l*`
1094×	`associate-r`
1008×	`associate-/r*`
870×	`associate-/l/`
834×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	814	21504
1	2142	20472

Stop Event

1×	node limit

Counts

384 → 528

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

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

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series27.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (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 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))))))

simplify92.0ms (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))))
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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))))
(+.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)))
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(+.f64 (.f64 (/.f64 1 (PI.f64)) (log.f64 4)) (.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 1 (*.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)))
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(.f64 (sqrt.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 (sqrt.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)))
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(.f64 (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))))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 26 computations (43.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

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

0.0ms

inf

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

0.0ms

-inf

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`associate-/r*`
1154×	`associate-*r/`
1042×	`*-commutative`
804×	`associate-*l/`
706×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	250	27
2	3168	27

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1600×	`associate-+r+`
1454×	`associate-+l+`
626×	`associate-*r/`
450×	`associate-+r-`
440×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	2395
1	355	2275
2	1078	2067
3	4413	2067

Stop Event

1×	node limit

Counts

65 → 78

Calls

Call 1

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

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
✓	0.2b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.4b	(/.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 → 36

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	@	0	(log.f64 (/.f64 4 (*.f64 f (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	@	-inf	(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))

rewrite104.0ms (0.5%)

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	88
1	267	88
2	3109	88

Stop Event

1×	node limit

Counts

4 → 313

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

Outputs
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simplify154.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1014×	`associate-/l*`
646×	`times-frac`
636×	`associate-+l-`
614×	`+-commutative`
606×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	561	12073
1	1285	11903
2	6731	11903

Stop Event

1×	node limit

Counts

349 → 337

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

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) f)
✓	0.5b	(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)) 1)))
✓	1.3b	(/.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)) 1))
✓	6.0b	(-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 1)

Compiler

Compiled 128 to 75 computations (41.4% saved)

series41.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) 1)))
18.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) 1)))
2.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) 1)))
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)) 1))
1.0ms	f	@	inf	(/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) 1))

rewrite113.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`associate-/r*`
1342×	`associate-/l*`
374×	`add-sqr-sqrt`
360×	`pow1`
360×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	157
1	383	157
2	5008	157

Stop Event

1×	node limit

Counts

3 → 141

Calls

Call 1

Inputs

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

(/.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)) 1))

(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)) 1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (sqrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) 2) (cbrt.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.f64 (PI.f64) f))) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (exp.f64 -1/4) (*.f64 (*.f64 (PI.f64) f) 3))) (/.f64 1 (+.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) (+.f64 1 (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.f64 (PI.f64) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 1 (pow.f64 (exp.f64 -1/4) (*.f64 2 (*.f64 (PI.f64) f)))) (*.f64 (pow.f64 (exp.f64 -1/4) (*.f64 (PI.f64) f)) -1)) (+.f64 -1 (pow.f64 (exp.f64 -1/4) (*.f64 (*.f64 (PI.f64) f) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (expm1.f64 (*.f64 (PI.f64) (*.f64 f -1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 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simplify154.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1174×	`associate-+l+`
1098×	`associate-+r+`
1096×	`associate-/r/`
790×	`+-commutative`
564×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	11359
1	1134	10663
2	4743	10663

Stop Event

1×	node limit

Counts

177 → 281

Calls

Call 1

Inputs
(.f64 1/4 (.f64 f (PI.f64)))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/4 (.f64 f (PI.f64))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/4 (.f64 f (PI.f64))) (.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/4 (.f64 f (PI.f64))) (+.f64 (.f64 1/6144 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))) (.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(/.f64 8 (*.f64 f (PI.f64)))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (.f64 8 (/.f64 1 (*.f64 f (PI.f64))))) 1)
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (+.f64 (.f64 1/12 (PI.f64)) (.f64 1/8 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) 1) (PI.f64)))))) (.f64 8 (/.f64 1 (*.f64 f (PI.f64)))))) 1)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/96 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) 1) (pow.f64 (PI.f64) 2))) (.f64 1/8 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (+.f64 (.f64 1/12 (PI.f64)) (.f64 1/8 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) 1) (PI.f64))))) (PI.f64)))))) (pow.f64 f 2)) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (+.f64 (.f64 1/12 (PI.f64)) (.f64 1/8 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) 1) (PI.f64)))))) (.f64 8 (/.f64 1 (.f64 f (PI.f64))))))) 1)
(/.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)))) 1))
(/.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)))) 1))
(/.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)))) 1))
(/.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)))) 1))
(/.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)))) 1))
(/.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)))) 1))
(/.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)))) 1))
(/.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)))) 1))
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(-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (.f64 (PI.f64) f) 3)) (pow.f64 (exp.f64 -1/4) (.f64 (.f64 (PI.f64) f) 3)))) (+.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 2 (.f64 (PI.f64) f))) (-.f64 (pow.f64 (exp.f64 -1/4) (.f64 2 (.f64 (PI.f64) f))) (pow.f64 (exp.f64 -1/4) (.f64 2 (.f64 (PI.f64) f)))))) (log.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4))))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4))))))) 1)
(-.f64 (+.f64 0 (log.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))))) (log.f64 (neg.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4))))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))) 1)
(-.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) 0) (log.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))
(-.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) (log.f64 (sqrt.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4))))))
(-.f64 (-.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2))) (log.f64 (cbrt.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4))))))
(.f64 1 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/4))))))
(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/4))))) 1)
(.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))))
(.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) 2) (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (.f64 (log.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (log.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) (+.f64 (log.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) 3) (pow.f64 (log.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 3)) (+.f64 (+.f64 (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))) (.f64 (log.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (log.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) (.f64 (log.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)))) (log.f64 (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 1)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 3) 1/3)
(neg.f64 (log.f64 (/.f64 (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4))) (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))
(exp.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))
(exp.f64 (.f64 (log.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))) 1))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 1))

Outputs
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 f (.f64 1/4 (PI.f64)))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (.f64 1/4 (.f64 f (PI.f64))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (.f64 1/4 (.f64 f (PI.f64))))
(fma.f64 1/4 (.f64 f (PI.f64)) (.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2))))
(fma.f64 1/4 (.f64 f (PI.f64)) (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) 2) 1/32)))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/4 (.f64 f (PI.f64))) (.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 1/4 (.f64 f (PI.f64)) (.f64 (*.f64 1/384 (pow.f64 f 3)) (pow.f64 (PI.f64) 3))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 1/4 (.f64 f (PI.f64)) (.f64 1/384 (*.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 1/4 (.f64 f (PI.f64)) (.f64 (pow.f64 f 3) (*.f64 1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 1/32 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 1/4 (.f64 f (PI.f64))) (+.f64 (.f64 1/6144 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))) (.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3))))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 1/4 (.f64 f (PI.f64)) (fma.f64 1/6144 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4)) (.f64 (.f64 1/384 (pow.f64 f 3)) (pow.f64 (PI.f64) 3)))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 1/4 (.f64 f (PI.f64)) (fma.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (.f64 1/6144 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 1/32 (.f64 (.f64 f f) (pow.f64 (PI.f64) 2)) (fma.f64 1/4 (.f64 f (PI.f64)) (fma.f64 1/384 (.f64 (pow.f64 f 3) (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 4) (.f64 1/6144 (pow.f64 f 4))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(expm1.f64 (.f64 1/4 (.f64 f (PI.f64))))
(expm1.f64 (.f64 f (.f64 1/4 (PI.f64))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(expm1.f64 (.f64 1/4 (.f64 f (PI.f64))))
(expm1.f64 (.f64 f (.f64 1/4 (PI.f64))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(expm1.f64 (.f64 1/4 (.f64 f (PI.f64))))
(expm1.f64 (.f64 f (.f64 1/4 (PI.f64))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(expm1.f64 (.f64 1/4 (.f64 f (PI.f64))))
(expm1.f64 (.f64 f (.f64 1/4 (PI.f64))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(expm1.f64 (.f64 1/4 (.f64 f (PI.f64))))
(expm1.f64 (.f64 f (.f64 1/4 (PI.f64))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(expm1.f64 (.f64 1/4 (.f64 f (PI.f64))))
(expm1.f64 (.f64 f (.f64 1/4 (PI.f64))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(expm1.f64 (.f64 1/4 (.f64 f (PI.f64))))
(expm1.f64 (.f64 f (.f64 1/4 (PI.f64))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) 1)
(expm1.f64 (.f64 1/4 (.f64 f (PI.f64))))
(expm1.f64 (.f64 f (.f64 1/4 (PI.f64))))
(/.f64 8 (*.f64 f (PI.f64)))
(/.f64 (/.f64 8 (PI.f64)) f)
(/.f64 (/.f64 8 f) (PI.f64))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (.f64 8 (/.f64 1 (*.f64 f (PI.f64))))) 1)
(+.f64 (fma.f64 4 (/.f64 (.f64 (PI.f64) 0) (PI.f64)) (/.f64 8 (.f64 f (PI.f64)))) -1)
(+.f64 (/.f64 (/.f64 8 (PI.f64)) f) (+.f64 (/.f64 0 (PI.f64)) -1))
(+.f64 (/.f64 (/.f64 8 f) (PI.f64)) (+.f64 (/.f64 0 (PI.f64)) -1))
(-.f64 (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (+.f64 (.f64 1/12 (PI.f64)) (.f64 1/8 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) 1) (PI.f64)))))) (.f64 8 (/.f64 1 (*.f64 f (PI.f64)))))) 1)
(+.f64 (fma.f64 4 (/.f64 (.f64 (PI.f64) 0) (PI.f64)) (fma.f64 f (-.f64 (.f64 1/4 (PI.f64)) (fma.f64 1/12 (PI.f64) (.f64 (.f64 1/8 (fma.f64 4 (/.f64 (.f64 (PI.f64) 0) (PI.f64)) -1)) (PI.f64)))) (/.f64 8 (.f64 f (PI.f64))))) -1)
(+.f64 (/.f64 0 (PI.f64)) (+.f64 (fma.f64 f (+.f64 (.f64 (PI.f64) 1/6) (.f64 -1/8 (*.f64 (PI.f64) (+.f64 (/.f64 0 (PI.f64)) -1)))) (/.f64 (/.f64 8 (PI.f64)) f)) -1))
(+.f64 (+.f64 (/.f64 0 (PI.f64)) -1) (fma.f64 f (-.f64 (.f64 (PI.f64) 1/6) (.f64 (PI.f64) (*.f64 1/8 (+.f64 (/.f64 0 (PI.f64)) -1)))) (/.f64 (/.f64 8 f) (PI.f64))))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/384 (pow.f64 (PI.f64) 3)) (.f64 1/384 (pow.f64 (PI.f64) 3))) (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (PI.f64) 2)) (+.f64 (.f64 1/96 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) 1) (pow.f64 (PI.f64) 2))) (.f64 1/8 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (+.f64 (.f64 1/12 (PI.f64)) (.f64 1/8 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) 1) (PI.f64))))) (PI.f64)))))) (pow.f64 f 2)) (+.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) (+.f64 (.f64 f (-.f64 (.f64 1/4 (PI.f64)) (+.f64 (.f64 1/12 (PI.f64)) (.f64 1/8 (.f64 (-.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1/4 (PI.f64)) (.f64 1/4 (PI.f64))) (PI.f64))) 1) (PI.f64)))))) (.f64 8 (/.f64 1 (.f64 f (PI.f64))))))) 1)
(+.f64 (fma.f64 (-.f64 (.f64 4 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 0) (PI.f64))) (fma.f64 1/192 (pow.f64 (PI.f64) 2) (fma.f64 1/96 (.f64 (pow.f64 (PI.f64) 2) (fma.f64 4 (/.f64 (.f64 (PI.f64) 0) (PI.f64)) -1)) (.f64 1/8 (.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (fma.f64 1/12 (PI.f64) (.f64 (.f64 1/8 (fma.f64 4 (/.f64 (.f64 (PI.f64) 0) (PI.f64)) -1)) (PI.f64))))))))) (.f64 f f) (fma.f64 4 (/.f64 (.f64 (PI.f64) 0) (PI.f64)) (fma.f64 f (-.f64 (.f64 1/4 (PI.f64)) (fma.f64 1/12 (PI.f64) (.f64 (.f64 1/8 (fma.f64 4 (/.f64 (.f64 (PI.f64) 0) (PI.f64)) -1)) (PI.f64)))) (/.f64 8 (*.f64 f (PI.f64)))))) -1)
(+.f64 (+.f64 (fma.f64 f (+.f64 (.f64 (PI.f64) 1/6) (.f64 -1/8 (.f64 (PI.f64) (+.f64 (/.f64 0 (PI.f64)) -1)))) (/.f64 (/.f64 8 (PI.f64)) f)) (fma.f64 (.f64 f f) (-.f64 (/.f64 0 (PI.f64)) (+.f64 (.f64 (PI.f64) (.f64 1/8 (+.f64 (.f64 (PI.f64) 1/6) (.f64 -1/8 (.f64 (PI.f64) (+.f64 (/.f64 0 (PI.f64)) -1)))))) (.f64 (pow.f64 (PI.f64) 2) (+.f64 1/192 (+.f64 (*.f64 1/96 (/.f64 0 (PI.f64))) -1/96))))) (/.f64 0 (PI.f64)))) -1)
(+.f64 (fma.f64 f (-.f64 (.f64 (PI.f64) 1/6) (.f64 (PI.f64) (.f64 1/8 (+.f64 (/.f64 0 (PI.f64)) -1)))) (/.f64 (/.f64 8 f) (PI.f64))) (+.f64 (fma.f64 (.f64 f f) (-.f64 (-.f64 (/.f64 0 (PI.f64)) (.f64 (pow.f64 (PI.f64) 2) (+.f64 1/192 (+.f64 (.f64 1/96 (/.f64 0 (PI.f64))) -1/96)))) (.f64 (-.f64 (.f64 (PI.f64) 1/6) (.f64 (PI.f64) (.f64 1/8 (+.f64 (/.f64 0 (PI.f64)) -1)))) (*.f64 (PI.f64) 1/8))) (/.f64 0 (PI.f64))) -1))
(/.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)))) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 1/4) (.f64 f (PI.f64))) (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (expm1.f64 (.f64 1/4 (.f64 f (PI.f64)))))
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(log.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (expm1.f64 (.f64 f (.f64 (PI.f64) -1/4)))))
(log.f64 (.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (expm1.f64 (.f64 f (.f64 (PI.f64) -1/4))))))
(log1p.f64 (-.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.f64 -1/4) (.f64 (PI.f64) f))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 1))
(log1p.f64 (+.f64 (/.f64 (.f64 2 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64)))) (expm1.f64 (.f64 (PI.f64) (.f64 f -1/4)))) -1))
(log1p.f64 (+.f64 -1 (/.f64 (.f64 2 (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (expm1.f64 (.f64 f (.f64 (PI.f64) -1/4))))))
(log1p.f64 (+.f64 -1 (.f64 2 (/.f64 (pow.f64 (exp.f64 -1/4) (.f64 f (PI.f64))) (expm1.f64 (.f64 f (.f64 (PI.f64) -1/4)))))))

eval707.0ms (3.6%)

Compiler: Compiled 41281 to 27264 computations (34% saved)

prune452.0ms (2.3%)

Pruning

34 alts after pruning (28 fresh and 6 done)

	Pruned	Kept	Total
New	1640	17	1657
Fresh	13	11	24
Picked	1	0	1
Done	1	6	7
Total	1655	34	1689

Error

1.9b

Counts

1689 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	63.0b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1/4)
✓	64.0b	(/.f64 (log.f64 (/.f64 2 0)) (/.f64 (PI.f64) -4))
	63.0b	(/.f64 1 (.f64 (.f64 (PI.f64) 1/4) (/.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	2.9b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	2.7b	(.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 3 (log.f64 (cbrt.f64 f)))) (/.f64 -4 (PI.f64)))
	2.6b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
✓	2.6b	(*.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (neg.f64 (log.f64 (/.f64 (.f64 f (PI.f64)) 4))) (/.f64 -4 (PI.f64)))
	44.6b	(*.f64 (log.f64 (/.f64 (/.f64 8 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
▶	2.9b	(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))
	44.7b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (expm1.f64 (.f64 f (*.f64 1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8))) (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)))
✓	61.5b	(.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)))
	44.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (expm1.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 1))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (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 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))
✓	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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)))
	2.6b	(.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 f (*.f64 (PI.f64) 1/12)) 0))) (/.f64 -4 (PI.f64)))
▶	3.0b	(*.f64 -4 (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
	2.6b	(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
✓	2.8b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
	52.3b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (sqrt.f64 (.f64 (PI.f64) f)))) (PI.f64)))
	2.8b	(.f64 -4 (/.f64 (fabs.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))) (PI.f64)))
	52.3b	(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (sqrt.f64 (.f64 (PI.f64) f))))) (PI.f64)))
▶	2.6b	(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (.f64 (PI.f64) f)) (PI.f64))))
	2.8b	(*.f64 -4 (-.f64 (+.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2) 2))
▶	2.9b	(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64))))))))
	2.9b	(.f64 -4 (.f64 3 (/.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))))
	2.9b	(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
✓	3.5b	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	62.3b	(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))) 1))
▶	63.1b	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
	12.8b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))

Compiler

Compiled 1059 to 850 computations (19.7% saved)

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 48 to 22 computations (54.2% saved)

series45.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	f	@	-inf	(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
13.0ms	f	@	0	(-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))
12.0ms	f	@	0	(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
6.0ms	f	@	inf	(/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))
0.0ms	f	@	inf	(-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64)))

rewrite112.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`associate-/l*`
1054×	`distribute-rgt-in`
1018×	`distribute-lft-in`
464×	`associate-/r/`
308×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	278	48
2	3932	48

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

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

Outputs

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

simplify156.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

954×	`associate-r`
924×	`fma-def`
698×	`associate-l`
622×	`associate-/l*`
574×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	555	14565
1	1674	11893

Stop Event

1×	node limit

Counts

215 → 292

Calls

Call 1

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

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

localize51.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
✓	0.4b	(/.f64 (/.f64 4 f) (PI.f64))
✓	0.5b	(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`associate-/r*`
1018×	`associate-/l*`
424×	`associate-/l/`
376×	`associate-/r/`
366×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	274	67
2	3413	67

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

Outputs

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

simplify158.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

718×	`associate-/l*`
568×	`associate-+l+`
534×	`times-frac`
502×	`associate-+r+`
478×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	465	7364
1	1178	6380
2	5458	6380

Stop Event

1×	node limit

Counts

224 → 258

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

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
✓	0.3b	(/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
✓	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	0.5b	(/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))

Compiler

Compiled 57 to 42 computations (26.3% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite126.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`associate-/l*`
926×	`associate-/r/`
736×	`associate-/l/`
356×	`distribute-rgt-in`
324×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	98
1	300	86
2	3956	86

Stop Event

1×	node limit

Counts

4 → 246

Calls

Call 1

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

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

simplify131.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

866×	`associate-+l+`
814×	`associate-+r+`
528×	`associate-r`
506×	`*-commutative`
504×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	570	9366
1	1432	8938
2	5693	8918

Stop Event

1×	node limit

Counts

294 → 347

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 f (PI.f64))
	0.2b	(/.f64 4 (*.f64 f (PI.f64)))
✓	5.3b	(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))
✓	11.9b	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))

Compiler

Compiled 48 to 29 computations (39.6% saved)

series52.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	f	@	-inf	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
17.0ms	f	@	inf	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
16.0ms	f	@	0	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
0.0ms	f	@	0	(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))
0.0ms	f	@	inf	(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1772×	`associate-*r/`
1472×	`associate-*l/`
1000×	`associate-/r*`
412×	`associate-/l*`
300×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	300	62
2	3763	62

Stop Event

1×	node limit

Counts

2 → 128

Calls

Call 1

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

Outputs

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simplify130.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

930×	`*-commutative`
738×	`distribute-lft-in`
666×	`distribute-rgt-in`
594×	`div-sub`
592×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	7598
1	767	7342
2	3130	6682

Stop Event

1×	node limit

Counts

152 → 187

Calls

Call 1

Inputs
(.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)))
(exp.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
(exp.f64 (*.f64 4 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))))
(+.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 0)
(+.f64 0 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
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(expm1.f64 (log1p.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))
(exp.f64 (.f64 (/.f64 4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64)))))

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.3b	(.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64))))))
✓	0.5b	(.f64 (/.f64 1 (PI.f64)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
✓	0.8b	(cbrt.f64 (/.f64 4 (*.f64 f (PI.f64))))

Compiler

Compiled 68 to 44 computations (35.3% saved)

series4.0ms (0%)

Counts

3 → 0

Calls

9 calls:

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

rewrite134.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`associate-*r/`
1392×	`associate-*l/`
1154×	`associate-/r*`
696×	`associate-/l*`
310×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	85
1	323	65
2	3845	65

Stop Event

1×	node limit

Counts

3 → 238

Calls

Call 1

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

Outputs

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

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1322×	`associate-/l*`
864×	`associate-+l+`
752×	`associate-+r+`
744×	`times-frac`
662×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	565	8382
1	1249	8092
2	6417	8092

Stop Event

1×	node limit

Counts

238 → 334

Calls

Call 1

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

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

eval644.0ms (3.3%)

Compiler: Compiled 32932 to 21434 computations (34.9% saved)

prune525.0ms (2.6%)

Pruning

34 alts after pruning (25 fresh and 9 done)

	Pruned	Kept	Total
New	1521	6	1527
Fresh	4	19	23
Picked	1	0	1
Done	1	9	10
Total	1527	34	1561

Error

1.9b

Counts

1561 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	63.0b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1/4)
✓	64.0b	(/.f64 (log.f64 (/.f64 2 0)) (/.f64 (PI.f64) -4))
	63.0b	(/.f64 1 (.f64 (.f64 (PI.f64) 1/4) (/.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	2.9b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
	2.6b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	2.9b	(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
✓	2.6b	(*.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (neg.f64 (log.f64 (/.f64 (.f64 f (PI.f64)) 4))) (/.f64 -4 (PI.f64)))
	44.6b	(*.f64 (log.f64 (/.f64 (/.f64 8 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
✓	2.9b	(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))
	44.7b	(.f64 (log.f64 (/.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (expm1.f64 (.f64 f (*.f64 1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8))) (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)))
✓	61.5b	(.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)))
	44.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (expm1.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 1))) (/.f64 -4 (PI.f64)))
	2.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (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 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))
✓	61.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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)))
	2.6b	(.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 f (*.f64 (PI.f64) 1/12)) 0))) (/.f64 -4 (PI.f64)))
✓	3.0b	(*.f64 -4 (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
✓	2.8b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
	52.3b	(.f64 -4 (/.f64 (log.f64 (/.f64 4 (sqrt.f64 (.f64 (PI.f64) f)))) (PI.f64)))
	3.2b	(*.f64 -4 (/.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 (PI.f64) 3)))
	2.8b	(.f64 -4 (/.f64 (fabs.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))) (PI.f64)))
	52.3b	(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (sqrt.f64 (.f64 (PI.f64) f))))) (PI.f64)))
	2.9b	(*.f64 -4 (/.f64 1/3 (/.f64 (/.f64 (PI.f64) 3) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
	52.3b	(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) f))) (PI.f64))))
	2.8b	(*.f64 -4 (-.f64 (+.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2) 2))
	2.7b	(.f64 -4 (.f64 (/.f64 3 (PI.f64)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	2.8b	(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/3)))))
✓	3.5b	(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
	62.3b	(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))) 1))
✓	63.1b	(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
	12.8b	(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))

Compiler

Compiled 589 to 472 computations (19.9% saved)

regimes127.0ms (0.6%)

Counts

65 → 1

Calls

Call 1

Inputs
(/.f64 (log.f64 (/.f64 2 0)) (/.f64 (PI.f64) -4))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))
(*.f64 (log.f64 (/.f64 (/.f64 8 (PI.f64)) f)) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1/4)
(.f64 (neg.f64 (log.f64 (/.f64 (.f64 f (PI.f64)) 4))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 f (PI.f64))) 1)) (PI.f64)))
(.f64 (log.f64 (/.f64 -2 (.f64 (*.f64 (PI.f64) -2) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (/.f64 -4 (PI.f64)))
(*.f64 -4 (-.f64 (+.f64 (/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64)) 2) 2))
(*.f64 -4 (/.f64 1/3 (/.f64 (/.f64 (PI.f64) 3) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))
(*.f64 -4 (/.f64 (/.f64 1 (PI.f64)) (/.f64 1 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))))
(.f64 -4 (/.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (PI.f64)))
(/.f64 1 (.f64 (.f64 (PI.f64) 1/4) (/.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (sqrt.f64 (.f64 (PI.f64) f)))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 f)) (log.f64 (PI.f64))) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(log1p.f64 (-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 4 (PI.f64))) 1))
(log1p.f64 (-.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64))) 1))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
(*.f64 -4 (log.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 1 (PI.f64)))))
(.f64 -4 (.f64 3 (/.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64))))
(.f64 -4 (.f64 (/.f64 3 (PI.f64)) (log.f64 (cbrt.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(.f64 -4 (/.f64 (fabs.f64 (log1p.f64 (-.f64 (/.f64 4 (.f64 (PI.f64) f)) 1))) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (cbrt.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 (PI.f64) 3)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 (-.f64 (log.f64 2) (log.f64 (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (.f64 3 (log.f64 (cbrt.f64 (/.f64 4 (.f64 f (PI.f64))))))))
(.f64 -4 (.f64 (/.f64 1 (PI.f64)) (*.f64 3 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/3)))))
(.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 f (*.f64 (PI.f64) 1/12)) 0))) (/.f64 -4 (PI.f64)))
(.f64 -4 (exp.f64 (log.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 -4 (expm1.f64 (log1p.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))
(.f64 -4 (/.f64 (fabs.f64 (log.f64 (/.f64 4 (sqrt.f64 (.f64 (PI.f64) f))))) (PI.f64)))
(*.f64 (exp.f64 (log.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))) (/.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 (pow.f64 (sqrt.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 2))
(.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 3 (log.f64 (cbrt.f64 f)))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) 3) 1/3) (/.f64 -4 (PI.f64)))
(.f64 -4 (-.f64 (/.f64 (log.f64 4) (PI.f64)) (/.f64 (log.f64 (sqrt.f64 (.f64 (PI.f64) f))) (PI.f64))))
(.f64 (log.f64 (+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (+.f64 (.f64 (/.f64 -2 (.f64 (/.f64 (PI.f64) (pow.f64 (PI.f64) 2)) 48)) f) (.f64 (*.f64 1/8 (PI.f64)) f)) 0))) (/.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)))) (expm1.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (/.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)) 1))) (/.f64 -4 (PI.f64)))
(.f64 (log.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 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (+.f64 1 (.f64 -1/4 (.f64 f (PI.f64))))) (-.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 (.f64 1/4 f)) (PI.f64)) (pow.f64 (exp.f64 (PI.f64)) (.f64 f -1/4))) (expm1.f64 (.f64 f (*.f64 1/4 (PI.f64)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) f))) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (*.f64 (PI.f64) f) 4)) 1))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (exp.f64 (.f64 -1/4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (.f64 (PI.f64) f) 4)) (pow.f64 (exp.f64 1) (.f64 (PI.f64) (.f64 f 1/4)))) (-.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 2 (.f64 (PI.f64) (.f64 1/2 f))) (+.f64 (.f64 f (fma.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) 0))) (/.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 (pow.f64 (exp.f64 1/4) (.f64 (PI.f64) f)) (pow.f64 (exp.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (/.f64 (expm1.f64 (log1p.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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (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 (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 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (pow.f64 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (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 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (.f64 (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8)) (pow.f64 (exp.f64 f) (/.f64 (PI.f64) 8))) (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 (exp.f64 (.f64 -1/4 (PI.f64))) f)) (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 (PI.f64) 3) (.f64 1/192 (pow.f64 f 3))))))) (/.f64 -4 (PI.f64)))

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

Calls

6 calls:

37.0ms	f
28.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
11.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
10.0ms	(/.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)))))
7.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Error	Segments	Branch
2.5b	1	`f`
2.5b	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
2.5b	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
2.5b	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
2.5b	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
2.5b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1357 to 950 computations (30% saved)

regimes25.0ms (0.1%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

1 calls:

17.0ms

Results

Error	Segments	Branch
2.6b	1	`f`

Compiler

Compiled 343 to 247 computations (28% saved)

regimes19.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
2.6b	1	`f`

Compiler

Compiled 232 to 167 computations (28% saved)

regimes17.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
2.6b	1	`f`

Compiler

Compiled 210 to 152 computations (27.6% saved)

regimes6.0ms (0%)

Accuracy

Total -61.2b remaining (-2178.3%)

Threshold costs -61.2b (-2178.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
2.8b	1	`f`

Compiler

Compiled 61 to 45 computations (26.2% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative`
16×	`+-commutative`
14×	`sub-neg`
10×	`neg-mul-1`
10×	`neg-sub0`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	212
1	59	212
2	73	208
3	85	208
4	90	208
5	91	208

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 2 (.f64 (PI.f64) 1/2))) (log.f64 f)) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 4) (log.f64 (.f64 (PI.f64) f))) (PI.f64)))
(.f64 (neg.f64 (log.f64 (/.f64 (.f64 f (PI.f64)) 4))) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 -4 (PI.f64)) (neg.f64 (log.f64 (/.f64 (.f64 (PI.f64) f) 4))))
(.f64 (log.f64 (/.f64 (.f64 (PI.f64) f) 4)) (/.f64 4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)))
(/.f64 (log.f64 (/.f64 2 0)) (/.f64 (PI.f64) -4))

Compiler

Compiled 69 to 59 computations (14.5% saved)

soundness336.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1464×	`associate-+r+`
1356×	`associate-+r+`
1096×	`fma-def`
1034×	`associate-+l+`
1000×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	52	121
2	130	117
3	326	109
4	1011	109
5	2615	109
6	5937	109
0	546	9058
1	1496	6286
2	5683	6282

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 195 to 148 computations (24.1% saved)

end46.0ms (0.2%)

Compiler: Compiled 64 to 46 computations (28.1% saved)