Details

analyze321.0ms (1.6%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample10.6s (51.8%)

Results

3.4s	3981×	body	1024	invalid
3.3s	4072×	body	1024	valid
1.2s	2013×	body	512	valid
1.2s	1952×	body	512	invalid
614.0ms	472×	body	2048	valid
471.0ms	1699×	body	256	valid
296.0ms	1000×	body	256	invalid
2.0ms	2×	body	2048	invalid
0.0ms	2×	body	256	unsamplable

Bogosity

preprocess192.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1576×	`rational.json-simplify-35`
1020×	`rational.json-simplify-2`
978×	`rational.json-simplify-38`
856×	`rational.json-simplify-53`
608×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	48	121
2	93	109
3	219	109
4	506	109
5	1268	109
6	3082	109
7	4973	109
8	6255	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))))))))
(neg.f64 (.f64 (/.f64 4 (PI.f64)) (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) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) 1/4) f)) (exp.f64 (.f64 f (*.f64 (PI.f64) -1/4)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (*.f64 -1/4 f)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify92.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational.json-simplify-35`
1020×	`rational.json-simplify-2`
978×	`rational.json-simplify-38`
856×	`rational.json-simplify-53`
608×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	48	121
2	93	109
3	219	109
4	506	109
5	1268	109
6	3082	109
7	4973	109
8	6255	109

Stop Event

1×	node limit

Counts

1 → 6

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

eval3.0ms (0%)

Compiler: Compiled 201 to 148 computations (26.4% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

61.7b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))))) (/.f64 -4 (PI.f64)))

Status

Error

Program

▶

61.7b

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

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize92.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	0.3b	(*.f64 f (/.f64 (PI.f64) -4))
✓	0.5b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))))
✓	4.8b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4))))

Compiler

Compiled 149 to 104 computations (30.2% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite160.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`rational.json-1`
1632×	`rational.json-2`
1632×	`rational.json-4`
1632×	`rational.json-3`
1624×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	164
1	120	164
2	287	164
3	683	164
4	1641	164
5	4706	164

Stop Event

1×	node limit

Counts

4 → 104

Calls

Call 1

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

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 f -1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) (.f64 f -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (.f64 f -1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 f -1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 -1/2 f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 f (neg.f64 (PI.f64))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 f (neg.f64 (PI.f64)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 f (neg.f64 (PI.f64)))) (.f64 2 (.f64 f (neg.f64 (PI.f64))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (*.f64 f -1/4)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) (.f64 f 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (PI.f64) f)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) f) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (PI.f64) f)) (.f64 2 (.f64 (PI.f64) f))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (*.f64 f 1/4)) 1)))))

simplify212.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1516×	`rational.json-simplify-51`
1242×	`rational.json-simplify-49`
846×	`rational.json-simplify-35`
838×	`rational.json-simplify-46`
812×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	275	9028
1	622	8588
2	1751	8440
3	4574	8422
4	7491	8422

Stop Event

1×	node limit

Counts

152 → 149

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
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(+.f64 (.f64 -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))))))
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(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
(.f64 1/4 (.f64 f (PI.f64)))
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(.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))
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(.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) -1)
(.f64 -1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
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(.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) -2) -1/2)
(.f64 1/4 (.f64 4 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2))
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(/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 1)
(/.f64 1 (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))) 2) 2)
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(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))) -2) -2)
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))) 8) 8)
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(neg.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))))
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(+.f64 0 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))))))
(+.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2)) (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2)))
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(-.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 0)
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(.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 2 (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))
(.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 (.f64 2 (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))) 1/2))
(.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 (/.f64 2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 1/2))
(.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 -1 (/.f64 -1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4))))) 1)
(.f64 1 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4))))))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2) (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2) (.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4))))) 1/2))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2) (.f64 (.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 1/2) 1))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2) (.f64 (.f64 2 (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) 1/2))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2) (.f64 -1/2 (/.f64 -1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (/.f64 -1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4))))))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (.f64 -1 (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (.f64 (.f64 2 (/.f64 -1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))) 1/2))
(.f64 -1 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4))))))
(.f64 -1 (.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))
(.f64 -1 (.f64 (.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))) 1/2))
(.f64 2 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2)))
(.f64 2 (.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))) 2)) 1))
(.f64 2 (.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2) (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))
(.f64 2 (.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 1/2))
(.f64 2 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))
(.f64 2 (.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) -2) (/.f64 -1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))
(.f64 2 (.f64 (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (/.f64 2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) 1/2)
(.f64 (.f64 4 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (/.f64 1 (.f64 4 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))))
(.f64 (.f64 4 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (.f64 (/.f64 1 (.f64 4 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) 1))
(.f64 (.f64 4 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (.f64 1/4 (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))))
(.f64 (.f64 4 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (.f64 1/2 (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))))
(.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) -1)
(.f64 1/2 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (/.f64 2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))
(.f64 1/2 (.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) -2) (/.f64 -1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))))
(.f64 (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2))
(.f64 (/.f64 -1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4))))))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) -2) (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) -2) (.f64 (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4))))) 1))
(.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) -2) (.f64 1/2 (/.f64 -1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))))
(.f64 (.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 1/2) (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))) 2))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2)) 2)
(.f64 (/.f64 1 (.f64 4 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) (.f64 4 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4))))))
(.f64 (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))))) (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) -2))
(pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 1)
(neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(+.f64 (.f64 (PI.f64) (.f64 f -1/4)) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 f -1/4)))
(-.f64 (.f64 (PI.f64) (.f64 f -1/4)) 0)
(/.f64 (.f64 (PI.f64) (.f64 f -1/4)) 1)
(/.f64 (.f64 (PI.f64) (.f64 -1/2 f)) 2)
(/.f64 (*.f64 f (neg.f64 (PI.f64))) 4)
(/.f64 (.f64 2 (.f64 f (neg.f64 (PI.f64)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 f (neg.f64 (PI.f64)))) (.f64 2 (.f64 f (neg.f64 (PI.f64))))) 16)
(pow.f64 (.f64 (PI.f64) (.f64 f -1/4)) 1)
(+.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 f 1/4)))
(-.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)
(/.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2)
(/.f64 (.f64 2 (.f64 (PI.f64) f)) 8)
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) f)) (.f64 2 (.f64 (PI.f64) f))) 16)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f)
(.f64 (PI.f64) (.f64 f 1/2))
(+.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)))))
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(/.f64 (.f64 2 (.f64 f (neg.f64 (PI.f64)))) 8)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (+.f64 (.f64 2 (.f64 f (neg.f64 (PI.f64)))) (.f64 2 (.f64 f (neg.f64 (PI.f64))))) 16)
(.f64 (PI.f64) (.f64 -1/4 f))
(pow.f64 (.f64 (PI.f64) (.f64 f -1/4)) 1)
(.f64 (PI.f64) (.f64 -1/4 f))
(+.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(+.f64 0 (.f64 (PI.f64) (.f64 f 1/4)))
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(-.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(/.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) 2)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(/.f64 (.f64 2 (.f64 (PI.f64) f)) 8)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(/.f64 (*.f64 (PI.f64) f) 4)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) f)) (.f64 2 (.f64 (PI.f64) f))) 16)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))

eval173.0ms (0.8%)

Compiler: Compiled 6364 to 4707 computations (26% saved)

prune76.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	166	6	172
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	166	7	173

Error

1.3b

Counts

173 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))))) (/.f64 -4 (PI.f64)))
▶	1.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 -4 (PI.f64)))
	1.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
▶	1.5b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 -4 (PI.f64)))
▶	1.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
▶	1.7b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
▶	1.5b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.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 -4 (PI.f64)))

Compiler

Compiled 453 to 355 computations (21.6% saved)

localize171.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	1.6b	(pow.f64 (PI.f64) 7)

Compiler

Compiled 352 to 263 computations (25.3% saved)

series0.0ms (0%)

Counts: 4 → 0

rewrite254.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2246×	`rational.json-simplify-35`
2156×	`rational.json-simplify-2`
1192×	`rational.json-1`
1192×	`rational.json-2`
1192×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	75	42
2	140	42
3	252	42
4	433	42
5	930	42
6	2332	42
7	3857	42
8	4501	42
9	5465	42
10	6076	42
11	6076	42
12	6817	42
13	6897	42
14	7653	42

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 7)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (PI.f64) 7) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (PI.f64) 7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 7) 1/2) (.f64 (pow.f64 (PI.f64) 7) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (PI.f64) 7) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 7) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 7))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 (PI.f64) 7) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 7) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (pow.f64 (PI.f64) 7) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 7) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (pow.f64 (PI.f64) 7) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 7) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 7) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (pow.f64 (PI.f64) 7) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 7) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (pow.f64 (PI.f64) 7) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/128 (.f64 (pow.f64 (PI.f64) 7) 128))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 128 (.f64 (pow.f64 (PI.f64) 7) 1/128))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 7) 1/128) 128)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 7) 128) 1/128)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 7) 1/16384) 16384)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/16384 (.f64 (pow.f64 (PI.f64) 7) 16384))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 16384 (.f64 (pow.f64 (PI.f64) 7) 1/16384))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 7) 16384) 1/16384)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2097152 (pow.f64 (.f64 (PI.f64) 8) 7))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 8) 7) 1/2097152)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (PI.f64) 7) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 7) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 7) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 7) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 7) 8))))))) 512)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (PI.f64) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 3) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (PI.f64) 3) 0)))) (#(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 2 (.f64 (pow.f64 (PI.f64) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (pow.f64 (PI.f64) 3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 3) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (pow.f64 (PI.f64) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (pow.f64 (PI.f64) 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 3) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 3) 1/64) 64)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 3) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (pow.f64 (PI.f64) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 3) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (pow.f64 (PI.f64) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/64 (.f64 (pow.f64 (PI.f64) 3) 64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 64 (.f64 (pow.f64 (PI.f64) 3) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 3) 64) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/512 (pow.f64 (.f64 (PI.f64) 8) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 8) 3) 1/512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 8))))))) 512)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (PI.f64) 5) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (PI.f64) 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 5) 1/2) (.f64 (pow.f64 (PI.f64) 5) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (PI.f64) 5) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 (PI.f64) 5) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 5) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (pow.f64 (PI.f64) 5) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 5) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (pow.f64 (PI.f64) 5) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 5) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (pow.f64 (PI.f64) 5) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 5) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 32 (.f64 (pow.f64 (PI.f64) 5) 1/32))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (pow.f64 (PI.f64) 5) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 5) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 5) 1/32) 32)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 5) 32) 1/32)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/32 (.f64 (pow.f64 (PI.f64) 5) 32))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 1/4) 5) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/1024 (.f64 (pow.f64 (PI.f64) 5) 1024))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1024 (pow.f64 (.f64 (PI.f64) 1/4) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 5) 1024) 1/1024)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/32768 (pow.f64 (.f64 (PI.f64) 8) 5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 8) 5) 1/32768)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (PI.f64) 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 5) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 5) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 5) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 5) 8))))))) 512)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 3) 1/384) (.f64 (pow.f64 (PI.f64) 3) 1/384))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 3) 1/24) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) 1)))))

simplify781.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

3800×	`rational.json-simplify-35`
2100×	`rational.json-simplify-2`
1470×	`rational.json-simplify-51`
1160×	`rational.json-simplify-43`
962×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	1179
1	433	1179
2	2082	1179
3	2998	1179
4	4335	1179
5	5008	1179
6	5203	1179
7	5361	1179
8	6478	1179
9	6593	1179
10	6593	1179
11	6944	1179
12	6944	1179
13	6944	1179
14	7057	1179
15	7172	1179
16	7287	1179
17	7402	1179
18	7517	1179
19	7632	1179
20	7746	1179
21	7869	1179
22	7984	1179

Stop Event

1×	node limit

Counts

121 → 125

Calls

Call 1

Inputs
(+.f64 (pow.f64 (PI.f64) 7) 0)
(+.f64 0 (pow.f64 (PI.f64) 7))
(+.f64 (.f64 (pow.f64 (PI.f64) 7) 1/2) (.f64 (pow.f64 (PI.f64) 7) 1/2))
(-.f64 (pow.f64 (PI.f64) 7) 0)
(*.f64 (pow.f64 (PI.f64) 7) 1)
(*.f64 1 (pow.f64 (PI.f64) 7))
(.f64 2 (.f64 (pow.f64 (PI.f64) 7) 1/2))
(.f64 (.f64 (pow.f64 (PI.f64) 7) 2) 1/2)
(.f64 4 (.f64 (pow.f64 (PI.f64) 7) 1/4))
(.f64 (.f64 (pow.f64 (PI.f64) 7) 4) 1/4)
(.f64 1/2 (.f64 (pow.f64 (PI.f64) 7) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 7) 8) 1/8)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 1/2) 2)
(.f64 1/4 (.f64 (pow.f64 (PI.f64) 7) 4))
(.f64 (.f64 (pow.f64 (PI.f64) 7) 1/4) 4)
(.f64 1/8 (.f64 (pow.f64 (PI.f64) 7) 8))
(.f64 1/128 (.f64 (pow.f64 (PI.f64) 7) 128))
(.f64 128 (.f64 (pow.f64 (PI.f64) 7) 1/128))
(.f64 (.f64 (pow.f64 (PI.f64) 7) 1/128) 128)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 128) 1/128)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 1/16384) 16384)
(.f64 1/16384 (.f64 (pow.f64 (PI.f64) 7) 16384))
(.f64 16384 (.f64 (pow.f64 (PI.f64) 7) 1/16384))
(.f64 (.f64 (pow.f64 (PI.f64) 7) 16384) 1/16384)
(.f64 1/2097152 (pow.f64 (.f64 (PI.f64) 8) 7))
(.f64 (pow.f64 (.f64 (PI.f64) 8) 7) 1/2097152)
(/.f64 (pow.f64 (PI.f64) 7) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 7) 2) 2)
(/.f64 (*.f64 (pow.f64 (PI.f64) 7) 4) 4)
(/.f64 (*.f64 (pow.f64 (PI.f64) 7) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 7) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 7) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8))))))) 512)
(+.f64 (pow.f64 (PI.f64) 3) 0)
(+.f64 0 (pow.f64 (PI.f64) 3))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/2))
(-.f64 (pow.f64 (PI.f64) 3) 0)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(*.f64 1 (pow.f64 (PI.f64) 3))
(.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/2))
(.f64 (.f64 (pow.f64 (PI.f64) 3) 2) 1/2)
(.f64 4 (.f64 (pow.f64 (PI.f64) 3) 1/4))
(.f64 (.f64 (pow.f64 (PI.f64) 3) 4) 1/4)
(.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) 2))
(.f64 8 (.f64 (pow.f64 (PI.f64) 3) 1/8))
(.f64 (.f64 (pow.f64 (PI.f64) 3) 8) 1/8)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/64) 64)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/2) 2)
(.f64 1/4 (.f64 (pow.f64 (PI.f64) 3) 4))
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/4) 4)
(.f64 1/8 (.f64 (pow.f64 (PI.f64) 3) 8))
(.f64 1/64 (.f64 (pow.f64 (PI.f64) 3) 64))
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 8)
(.f64 64 (.f64 (pow.f64 (PI.f64) 3) 1/64))
(.f64 (.f64 (pow.f64 (PI.f64) 3) 64) 1/64)
(.f64 1/512 (pow.f64 (.f64 (PI.f64) 8) 3))
(.f64 (pow.f64 (.f64 (PI.f64) 8) 3) 1/512)
(/.f64 (pow.f64 (PI.f64) 3) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 2) 2)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 4) 4)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8))))))) 512)
(+.f64 (pow.f64 (PI.f64) 5) 0)
(+.f64 0 (pow.f64 (PI.f64) 5))
(+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/2) (.f64 (pow.f64 (PI.f64) 5) 1/2))
(-.f64 (pow.f64 (PI.f64) 5) 0)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(*.f64 1 (pow.f64 (PI.f64) 5))
(.f64 2 (.f64 (pow.f64 (PI.f64) 5) 1/2))
(.f64 (.f64 (pow.f64 (PI.f64) 5) 2) 1/2)
(.f64 4 (.f64 (pow.f64 (PI.f64) 5) 1/4))
(.f64 (.f64 (pow.f64 (PI.f64) 5) 4) 1/4)
(.f64 1/2 (.f64 (pow.f64 (PI.f64) 5) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 5) 8) 1/8)
(.f64 1/4 (.f64 (pow.f64 (PI.f64) 5) 4))
(.f64 (.f64 (pow.f64 (PI.f64) 5) 1/2) 2)
(.f64 32 (.f64 (pow.f64 (PI.f64) 5) 1/32))
(.f64 1/8 (.f64 (pow.f64 (PI.f64) 5) 8))
(.f64 (.f64 (pow.f64 (PI.f64) 5) 1/4) 4)
(.f64 (.f64 (pow.f64 (PI.f64) 5) 1/32) 32)
(.f64 (.f64 (pow.f64 (PI.f64) 5) 32) 1/32)
(.f64 1/32 (.f64 (pow.f64 (PI.f64) 5) 32))
(.f64 (pow.f64 (.f64 (PI.f64) 1/4) 5) 1024)
(.f64 1/1024 (.f64 (pow.f64 (PI.f64) 5) 1024))
(.f64 1024 (pow.f64 (.f64 (PI.f64) 1/4) 5))
(.f64 (.f64 (pow.f64 (PI.f64) 5) 1024) 1/1024)
(.f64 1/32768 (pow.f64 (.f64 (PI.f64) 8) 5))
(.f64 (pow.f64 (.f64 (PI.f64) 8) 5) 1/32768)
(/.f64 (pow.f64 (PI.f64) 5) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 5) 2) 2)
(/.f64 (*.f64 (pow.f64 (PI.f64) 5) 4) 4)
(/.f64 (*.f64 (pow.f64 (PI.f64) 5) 8) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 5) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 5) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8))))))) 512)
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)
(+.f64 0 (*.f64 (pow.f64 (PI.f64) 3) 1/192))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/384) (.f64 (pow.f64 (PI.f64) 3) 1/384))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/96) 2)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) 4)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/24) 8)
(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/24))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/24))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24))))))) 512)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)

Outputs
(+.f64 (pow.f64 (PI.f64) 7) 0)
(pow.f64 (PI.f64) 7)
(+.f64 0 (pow.f64 (PI.f64) 7))
(pow.f64 (PI.f64) 7)
(+.f64 (.f64 (pow.f64 (PI.f64) 7) 1/2) (.f64 (pow.f64 (PI.f64) 7) 1/2))
(pow.f64 (PI.f64) 7)
(-.f64 (pow.f64 (PI.f64) 7) 0)
(pow.f64 (PI.f64) 7)
(*.f64 (pow.f64 (PI.f64) 7) 1)
(pow.f64 (PI.f64) 7)
(*.f64 1 (pow.f64 (PI.f64) 7))
(pow.f64 (PI.f64) 7)
(.f64 2 (.f64 (pow.f64 (PI.f64) 7) 1/2))
(pow.f64 (PI.f64) 7)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 2) 1/2)
(pow.f64 (PI.f64) 7)
(.f64 4 (.f64 (pow.f64 (PI.f64) 7) 1/4))
(pow.f64 (PI.f64) 7)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 4) 1/4)
(pow.f64 (PI.f64) 7)
(.f64 1/2 (.f64 (pow.f64 (PI.f64) 7) 2))
(pow.f64 (PI.f64) 7)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 8) 1/8)
(pow.f64 (PI.f64) 7)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 1/2) 2)
(pow.f64 (PI.f64) 7)
(.f64 1/4 (.f64 (pow.f64 (PI.f64) 7) 4))
(pow.f64 (PI.f64) 7)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 1/4) 4)
(pow.f64 (PI.f64) 7)
(.f64 1/8 (.f64 (pow.f64 (PI.f64) 7) 8))
(pow.f64 (PI.f64) 7)
(.f64 1/128 (.f64 (pow.f64 (PI.f64) 7) 128))
(pow.f64 (PI.f64) 7)
(.f64 128 (.f64 (pow.f64 (PI.f64) 7) 1/128))
(pow.f64 (PI.f64) 7)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 1/128) 128)
(pow.f64 (PI.f64) 7)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 128) 1/128)
(pow.f64 (PI.f64) 7)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 1/16384) 16384)
(pow.f64 (PI.f64) 7)
(.f64 1/16384 (.f64 (pow.f64 (PI.f64) 7) 16384))
(pow.f64 (PI.f64) 7)
(.f64 16384 (.f64 (pow.f64 (PI.f64) 7) 1/16384))
(pow.f64 (PI.f64) 7)
(.f64 (.f64 (pow.f64 (PI.f64) 7) 16384) 1/16384)
(pow.f64 (PI.f64) 7)
(.f64 1/2097152 (pow.f64 (.f64 (PI.f64) 8) 7))
(pow.f64 (PI.f64) 7)
(.f64 (pow.f64 (.f64 (PI.f64) 8) 7) 1/2097152)
(pow.f64 (PI.f64) 7)
(/.f64 (pow.f64 (PI.f64) 7) 1)
(pow.f64 (PI.f64) 7)
(/.f64 (*.f64 (pow.f64 (PI.f64) 7) 2) 2)
(pow.f64 (PI.f64) 7)
(/.f64 (*.f64 (pow.f64 (PI.f64) 7) 4) 4)
(pow.f64 (PI.f64) 7)
(/.f64 (*.f64 (pow.f64 (PI.f64) 7) 8) 8)
(pow.f64 (PI.f64) 7)
(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)) 16)
(pow.f64 (PI.f64) 7)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 7) 8))) 32)
(pow.f64 (PI.f64) 7)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)))) 64)
(pow.f64 (PI.f64) 7)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 7) 8))))) 128)
(pow.f64 (PI.f64) 7)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)))))) 256)
(pow.f64 (PI.f64) 7)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 7) 8))))))) 512)
(pow.f64 (PI.f64) 7)
(+.f64 (pow.f64 (PI.f64) 3) 0)
(pow.f64 (PI.f64) 3)
(+.f64 0 (pow.f64 (PI.f64) 3))
(pow.f64 (PI.f64) 3)
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/2))
(pow.f64 (PI.f64) 3)
(-.f64 (pow.f64 (PI.f64) 3) 0)
(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 2 (.f64 (pow.f64 (PI.f64) 3) 1/2))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 2) 1/2)
(pow.f64 (PI.f64) 3)
(.f64 4 (.f64 (pow.f64 (PI.f64) 3) 1/4))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 4) 1/4)
(pow.f64 (PI.f64) 3)
(.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) 2))
(pow.f64 (PI.f64) 3)
(.f64 8 (.f64 (pow.f64 (PI.f64) 3) 1/8))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 8) 1/8)
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/64) 64)
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/2) 2)
(pow.f64 (PI.f64) 3)
(.f64 1/4 (.f64 (pow.f64 (PI.f64) 3) 4))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/4) 4)
(pow.f64 (PI.f64) 3)
(.f64 1/8 (.f64 (pow.f64 (PI.f64) 3) 8))
(pow.f64 (PI.f64) 3)
(.f64 1/64 (.f64 (pow.f64 (PI.f64) 3) 64))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/8) 8)
(pow.f64 (PI.f64) 3)
(.f64 64 (.f64 (pow.f64 (PI.f64) 3) 1/64))
(pow.f64 (PI.f64) 3)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 64) 1/64)
(pow.f64 (PI.f64) 3)
(.f64 1/512 (pow.f64 (.f64 (PI.f64) 8) 3))
(pow.f64 (PI.f64) 3)
(.f64 (pow.f64 (.f64 (PI.f64) 8) 3) 1/512)
(pow.f64 (PI.f64) 3)
(/.f64 (pow.f64 (PI.f64) 3) 1)
(pow.f64 (PI.f64) 3)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 2) 2)
(pow.f64 (PI.f64) 3)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 4) 4)
(pow.f64 (PI.f64) 3)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 8) 8)
(pow.f64 (PI.f64) 3)
(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)) 16)
(pow.f64 (PI.f64) 3)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 8))) 32)
(pow.f64 (PI.f64) 3)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)))) 64)
(pow.f64 (PI.f64) 3)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 8))))) 128)
(pow.f64 (PI.f64) 3)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)))))) 256)
(pow.f64 (PI.f64) 3)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 8))))))) 512)
(pow.f64 (PI.f64) 3)
(+.f64 (pow.f64 (PI.f64) 5) 0)
(pow.f64 (PI.f64) 5)
(+.f64 0 (pow.f64 (PI.f64) 5))
(pow.f64 (PI.f64) 5)
(+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/2) (.f64 (pow.f64 (PI.f64) 5) 1/2))
(pow.f64 (PI.f64) 5)
(-.f64 (pow.f64 (PI.f64) 5) 0)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(pow.f64 (PI.f64) 5)
(*.f64 1 (pow.f64 (PI.f64) 5))
(pow.f64 (PI.f64) 5)
(.f64 2 (.f64 (pow.f64 (PI.f64) 5) 1/2))
(pow.f64 (PI.f64) 5)
(.f64 (.f64 (pow.f64 (PI.f64) 5) 2) 1/2)
(pow.f64 (PI.f64) 5)
(.f64 4 (.f64 (pow.f64 (PI.f64) 5) 1/4))
(pow.f64 (PI.f64) 5)
(.f64 (.f64 (pow.f64 (PI.f64) 5) 4) 1/4)
(pow.f64 (PI.f64) 5)
(.f64 1/2 (.f64 (pow.f64 (PI.f64) 5) 2))
(pow.f64 (PI.f64) 5)
(.f64 (.f64 (pow.f64 (PI.f64) 5) 8) 1/8)
(pow.f64 (PI.f64) 5)
(.f64 1/4 (.f64 (pow.f64 (PI.f64) 5) 4))
(pow.f64 (PI.f64) 5)
(.f64 (.f64 (pow.f64 (PI.f64) 5) 1/2) 2)
(pow.f64 (PI.f64) 5)
(.f64 32 (.f64 (pow.f64 (PI.f64) 5) 1/32))
(pow.f64 (PI.f64) 5)
(.f64 1/8 (.f64 (pow.f64 (PI.f64) 5) 8))
(pow.f64 (PI.f64) 5)
(.f64 (.f64 (pow.f64 (PI.f64) 5) 1/4) 4)
(pow.f64 (PI.f64) 5)
(.f64 (.f64 (pow.f64 (PI.f64) 5) 1/32) 32)
(pow.f64 (PI.f64) 5)
(.f64 (.f64 (pow.f64 (PI.f64) 5) 32) 1/32)
(pow.f64 (PI.f64) 5)
(.f64 1/32 (.f64 (pow.f64 (PI.f64) 5) 32))
(pow.f64 (PI.f64) 5)
(.f64 (pow.f64 (.f64 (PI.f64) 1/4) 5) 1024)
(pow.f64 (PI.f64) 5)
(.f64 1/1024 (.f64 (pow.f64 (PI.f64) 5) 1024))
(pow.f64 (PI.f64) 5)
(.f64 1024 (pow.f64 (.f64 (PI.f64) 1/4) 5))
(pow.f64 (PI.f64) 5)
(.f64 (.f64 (pow.f64 (PI.f64) 5) 1024) 1/1024)
(pow.f64 (PI.f64) 5)
(.f64 1/32768 (pow.f64 (.f64 (PI.f64) 8) 5))
(pow.f64 (PI.f64) 5)
(.f64 (pow.f64 (.f64 (PI.f64) 8) 5) 1/32768)
(pow.f64 (PI.f64) 5)
(/.f64 (pow.f64 (PI.f64) 5) 1)
(pow.f64 (PI.f64) 5)
(/.f64 (*.f64 (pow.f64 (PI.f64) 5) 2) 2)
(pow.f64 (PI.f64) 5)
(/.f64 (*.f64 (pow.f64 (PI.f64) 5) 4) 4)
(pow.f64 (PI.f64) 5)
(/.f64 (*.f64 (pow.f64 (PI.f64) 5) 8) 8)
(pow.f64 (PI.f64) 5)
(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)) 16)
(pow.f64 (PI.f64) 5)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 5) 8))) 32)
(pow.f64 (PI.f64) 5)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)))) 64)
(pow.f64 (PI.f64) 5)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 5) 8))))) 128)
(pow.f64 (PI.f64) 5)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)))))) 256)
(pow.f64 (PI.f64) 5)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 8))))))) 512)
(pow.f64 (PI.f64) 5)
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(+.f64 0 (*.f64 (pow.f64 (PI.f64) 3) 1/192))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/384) (.f64 (pow.f64 (PI.f64) 3) 1/384))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/96) 2)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) 4)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/24) 8)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)) 16)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/24))) 32)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)))) 64)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/24))))) 128)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)))))) 256)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/24))))))) 512)
(*.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)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 18 computations (43.8% saved)

series58.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	f	@	0	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
23.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
10.0ms	f	@	inf	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	-inf	(*.f64 (PI.f64) f)
0.0ms	f	@	0	(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1490×	`rational.json-1`
1490×	`rational.json-2`
1490×	`rational.json-3`
1482×	`rational.json-4`
1476×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	92	76
2	226	76
3	603	76
4	1856	76
5	4869	76

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))) 2) (/.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (neg.f64 (.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 (neg.f64 (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 (neg.f64 (.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 (neg.f64 (.f64 (PI.f64) 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (.f64 2 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 2 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (.f64 2 (/.f64 (PI.f64) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 (PI.f64) -8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (.f64 2 (/.f64 (neg.f64 (PI.f64)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 2 (.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 4 (.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 2 (.f64 4 (.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (/.f64 (PI.f64) -8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (/.f64 (PI.f64) -8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (neg.f64 (.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 4 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (/.f64 (PI.f64) -8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (PI.f64))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 2 (neg.f64 (.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 1/2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) 2)) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1/2) (.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) -1/4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2)) (neg.f64 (.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) f) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) f))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 f 1/4)) (.f64 3/2 (.f64 (PI.f64) (.f64 f 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (PI.f64) (.f64 f 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 3/2 (.f64 (PI.f64) (.f64 f 1/2))) (.f64 (PI.f64) (.f64 f 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) f) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (.f64 (PI.f64) f)) (.f64 (/.f64 2 (.f64 (PI.f64) f)) (/.f64 2 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (+.f64 f f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 (PI.f64) f)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (PI.f64) f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (PI.f64) 2) (.f64 4 f)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (PI.f64) 2) (.f64 4 f))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (PI.f64) f)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (.f64 (PI.f64) f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (.f64 (PI.f64) f)) (/.f64 2 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (.f64 (PI.f64) f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (/.f64 -4 (PI.f64)) f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 (PI.f64)) (/.f64 -1 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 4 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (PI.f64)) (/.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 2 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 4 (.f64 (PI.f64) f)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8 (PI.f64)) (/.f64 1/2 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 f) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 -4 (PI.f64)) f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 f) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 4 (.f64 (PI.f64) f)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (/.f64 4 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (PI.f64) f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 f) (/.f64 8 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 f) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4 f) (PI.f64)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1)))))

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2168×	`rational.json-simplify-35`
1020×	`rational.json-simplify-39`
954×	`rational.json-simplify-43`
662×	`rational.json-simplify-2`
628×	`exponential.json-simplify-26`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3551
1	594	3519
2	2110	3507
3	4376	3507
4	7168	3507

Stop Event

1×	node limit

Counts

149 → 132

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)))
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Outputs
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(.f64 2 (/.f64 2 (.f64 f (PI.f64))))
(*.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))
(*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))
(.f64 (.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) 1/2)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 8 (PI.f64)) (/.f64 1/2 f))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 -1 (/.f64 (/.f64 -4 (PI.f64)) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(.f64 1/2 (.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(.f64 (/.f64 2 (.f64 (PI.f64) f)) 2)
(.f64 2 (/.f64 2 (.f64 f (PI.f64))))
(*.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))
(*.f64 2 (/.f64 (/.f64 2 f) (PI.f64)))
(*.f64 (/.f64 1/2 f) (/.f64 8 (PI.f64)))
(*.f64 (/.f64 8 (PI.f64)) (/.f64 1/2 f))
(*.f64 (/.f64 -1 f) (/.f64 -4 (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 1)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(neg.f64 (/.f64 (/.f64 -4 (PI.f64)) f))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(neg.f64 (/.f64 (/.f64 -4 f) (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 f) (PI.f64))
(+.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 0)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 0 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(+.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 0)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 1)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(.f64 2 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) 1/2)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(.f64 1/2 (.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) 2)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) 2) 2)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 4)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (.f64 2 (.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 8)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) 16)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 1)
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))

localize59.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (.f64 f 1/2))
	0.3b	(*.f64 f (/.f64 (PI.f64) -4))
✓	0.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
✓	0.5b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (.f64 f 1/2))))

Compiler

Compiled 121 to 83 computations (31.4% saved)

series55.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
34.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (.f64 f 1/2))))
17.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (.f64 f 1/2))))
1.0ms	f	@	0	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (.f64 f 1/2))))
1.0ms	f	@	inf	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`rational.json-1`
1216×	`rational.json-2`
1216×	`rational.json-3`
1210×	`rational.json-4`
1208×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	163
1	155	163
2	369	163
3	1087	163
4	3628	163

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

Inputs

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

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

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 f 1/4)) (*.f64 (PI.f64) (*.f64 f 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 f 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) f) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (+.f64 f f)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 f 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 4 f)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 f 1/2))))))))

simplify139.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1470×	`rational.json-simplify-51`
1038×	`rational.json-simplify-46`
980×	`rational.json-simplify-35`
848×	`rational.json-simplify-43`
800×	`rational.json-simplify-41`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	207	5683
1	536	5587
2	1635	5541
3	4101	5509
4	7080	5497

Stop Event

1×	node limit

Counts

91 → 100

Calls

Call 1

Inputs
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Outputs
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(neg.f64 (neg.f64 (.f64 (PI.f64) (.f64 f 1/2))))
(.f64 f (.f64 (PI.f64) 1/2))

localize90.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 -4 (PI.f64)))
✓	0.5b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))
	1.0b	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
	1.0b	(pow.f64 (PI.f64) 3)

Compiler

Compiled 188 to 135 computations (28.2% saved)

series9.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	f	@	inf	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 -4 (PI.f64)))
2.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))
1.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))
1.0ms	f	@	0	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 -4 (PI.f64)))

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1866×	`rational.json-1`
1866×	`rational.json-2`
1866×	`rational.json-3`
1856×	`rational.json-4`
910×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	212
1	200	212
2	426	200
3	995	200
4	2301	200
5	6003	200

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs

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

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

Outputs

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simplify210.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational.json-simplify-53`
1210×	`rational.json-simplify-41`
1054×	`rational.json-simplify-2`
846×	`rational.json-simplify-1`
746×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	357	11927
1	967	11731
2	3457	11607
3	4786	11543
4	6889	11519

Stop Event

1×	node limit

Counts

107 → 175

Calls

Call 1

Inputs
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(/.f64 (+.f64 (.f64 2 (.f64 4 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (/.f64 -4 (PI.f64))))) (.f64 2 (.f64 4 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (/.f64 -4 (PI.f64)))))) 16)
(/.f64 (+.f64 (/.f64 -4 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))))))) (/.f64 -4 (/.f64 (PI.f64) (.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))))) 8)
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(/.f64 (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (.f64 (PI.f64) 2)) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (.f64 (PI.f64) 2))) -1/4)
(/.f64 (+.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -1/4) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -1/4)) (*.f64 (PI.f64) 2))
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(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -1/4) 1/2) (*.f64 (PI.f64) 2))
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Outputs
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(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -1/4) (*.f64 (PI.f64) 2)) 1/2)
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -1/4) (*.f64 (PI.f64) 1/2)) 2)
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -1/4) 2) (*.f64 (PI.f64) 1/2))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -1/4) (*.f64 (PI.f64) 4)) 1/4)
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (neg.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 2)) (neg.f64 (.f64 (PI.f64) -1/2)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) -1/4)) (neg.f64 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))) (*.f64 (PI.f64) -1/4))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))) (-.f64 0 (neg.f64 (*.f64 (PI.f64) -1/4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(pow.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) (/.f64 -4 (PI.f64))) 1)
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 f (PI.f64)) 3))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (/.f64 -4 (PI.f64))))

localize356.0ms (1.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 239 to 182 computations (23.8% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.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)))))

0.0ms

inf

(*.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)))))

0.0ms

-inf

(*.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)))))

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1996×	`rational.json-1`
1110×	`rational.json-simplify-2`
1090×	`rational.json-2`
1090×	`rational.json-4`
1090×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	156
1	146	156
2	343	144
3	928	132
4	3368	132
5	7612	132

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs

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

(*.f64 f (-.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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (neg.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (-.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (-.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) 2) (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) (*.f64 f 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) (*.f64 f 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (*.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 1)))))

simplify263.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1910×	`rational.json-simplify-2`
1702×	`rational.json-simplify-1`
1404×	`rational.json-simplify-35`
974×	`rational.json-simplify-48`
744×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	78	2433
1	159	2181
2	320	2181
3	787	2181
4	2003	2181
5	3883	2181
6	4915	2181
7	5427	2181
8	5763	2181
9	6788	2181
10	7037	2181
11	7600	2181

Stop Event

1×	node limit

Counts

43 → 43

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (neg.f64 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 0)
(+.f64 0 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(+.f64 -1 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (-.f64 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) 1)))
(+.f64 (neg.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (-.f64 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) 1)) -1)
(.f64 2 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 2))
(.f64 2 (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))))
(.f64 2 (-.f64 (/.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) 2) (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))))
(.f64 1/2 (.f64 2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))))))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 1)
(.f64 1 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 (.f64 2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))))) 1/2)
(.f64 (-.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)) -1)
(.f64 -1 (-.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 2) 2)
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 1)
(/.f64 (.f64 2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))))) 2)
(/.f64 (-.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)) -1)
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 4)) 8)
(pow.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) 1)
(neg.f64 (-.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)))
(+.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 0)
(+.f64 0 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f))
(-.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 0)
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 1)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f)) 2)
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) (*.f64 f 4)) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) (.f64 f 4))) 8)
(pow.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 1)

Outputs
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (neg.f64 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
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(neg.f64 (-.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))) -2))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (/.f64 1/48 (pow.f64 (PI.f64) 2)) -2)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/48 (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 0)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 2 (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 (/.f64 1/48 (pow.f64 (PI.f64) 2)) -2))))
(+.f64 0 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f))
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 2 (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 (/.f64 1/48 (pow.f64 (PI.f64) 2)) -2))))
(-.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 0)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 2 (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 (/.f64 1/48 (pow.f64 (PI.f64) 2)) -2))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 1)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 2 (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 (/.f64 1/48 (pow.f64 (PI.f64) 2)) -2))))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f)) 2)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 2 (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 (/.f64 1/48 (pow.f64 (PI.f64) 2)) -2))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) (*.f64 f 4)) 4)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 2 (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 (/.f64 1/48 (pow.f64 (PI.f64) 2)) -2))))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) (.f64 f 4))) 8)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 2 (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 (/.f64 1/48 (pow.f64 (PI.f64) 2)) -2))))
(pow.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))) f) 1)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 2 (/.f64 1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/48 (pow.f64 (PI.f64) 2))))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (.f64 (/.f64 1/48 (pow.f64 (PI.f64) 2)) -2))))

eval643.0ms (3.1%)

Compiler: Compiled 25655 to 19253 computations (25% saved)

prune236.0ms (1.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	680	8	688
Fresh	0	1	1
Picked	1	0	1
Done	2	3	5
Total	683	12	695

Error

1.1b

Counts

695 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.4b	(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64)) -1/4)
	1.6b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	1.6b	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
✓	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))))) (/.f64 -4 (PI.f64)))
✓	1.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 -4 (PI.f64)))
	1.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
	61.9b	(.f64 (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	1.7b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
▶	1.5b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
▶	1.7b	(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
▶	1.6b	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
▶	13.7b	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))

Compiler

Compiled 447 to 357 computations (20.1% saved)

localize155.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (.f64 f 1/4))
✓	0.3b	(.f64 (PI.f64) (.f64 f -1/4))
✓	0.3b	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64))
✓	0.5b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))))

Compiler

Compiled 202 to 133 computations (34.2% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64))
0.0ms	f	@	inf	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64))
0.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))))
0.0ms	f	@	-inf	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64))
0.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))))

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1996×	`rational.json-1`
1996×	`rational.json-2`
1996×	`rational.json-3`
974×	`rational.json-simplify-35`
900×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	224
1	189	224
2	408	224
3	955	224
4	2330	224
5	6437	224

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 0)))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) (.f64 f 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 f 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) f) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (+.f64 f f)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 f 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (PI.f64) (.f64 f 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) (*.f64 f 1/4)) 1)))))

simplify160.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1636×	`rational.json-simplify-35`
1630×	`rational.json-simplify-51`
1184×	`rational.json-simplify-46`
1102×	`rational.json-simplify-41`
1064×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	307	9668
1	682	9302
2	1523	8988
3	3478	8758

Stop Event

1×	node limit

Counts

120 → 215

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) (PI.f64)) 1)
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(.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 2) (/.f64 1/2 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) 2) (*.f64 1/2 (/.f64 1 (PI.f64))))
(.f64 2 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (.f64 (PI.f64) 2)))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))))))
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(.f64 (/.f64 -1 (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))))
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(pow.f64 (.f64 (PI.f64) (.f64 f -1/4)) 1)
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(/.f64 (.f64 (PI.f64) (.f64 f 1/2)) 2)
(/.f64 (*.f64 (PI.f64) f) 4)
(/.f64 (*.f64 (PI.f64) (+.f64 f f)) 8)
(/.f64 (.f64 (PI.f64) (.f64 f 4)) 16)
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 f 4))) 32)
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)

Outputs
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(.f64 (.f64 1/2 (/.f64 1 (PI.f64))) (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) 2))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) (neg.f64 (PI.f64))) -1)
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (.f64 (PI.f64) 2)) 2)
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(.f64 (/.f64 1/2 (.f64 (PI.f64) 2)) (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))) 4))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(.f64 (/.f64 -1 (PI.f64)) (neg.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (neg.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3))))) (PI.f64))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))) (/.f64 1 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (/.f64 1 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (/.f64 1 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (/.f64 1 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (/.f64 1 (PI.f64))))
(log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)))) 2) (/.f64 1/2 (PI.f64))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (*.f64 2 (/.f64 1/2 (PI.f64)))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) 1/4))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (*.f64 2 (/.f64 1/2 (PI.f64)))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (*.f64 2 (/.f64 1/2 (PI.f64)))))
(log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)))) (*.f64 2 (/.f64 1/2 (PI.f64)))))
(+.f64 (.f64 (PI.f64) (.f64 f -1/4)) 0)
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f -1/4))
(+.f64 0 (.f64 (PI.f64) (.f64 f -1/4)))
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f -1/4))
(-.f64 (.f64 (PI.f64) (.f64 f -1/4)) 0)
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f -1/4))
(/.f64 (.f64 (PI.f64) (.f64 f -1/4)) 1)
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f -1/4))
(/.f64 (.f64 (PI.f64) (.f64 f -1/2)) 2)
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f -1/4))
(/.f64 (.f64 (PI.f64) (.f64 f -1)) 4)
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f -1/4))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 f -1))) 8)
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f -1/4))
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 f -1))) (.f64 2 (.f64 (PI.f64) (.f64 f -1)))) 16)
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f -1/4))
(pow.f64 (.f64 (PI.f64) (.f64 f -1/4)) 1)
(.f64 f (.f64 (PI.f64) -1/4))
(.f64 -1/4 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 f -1/4))
(+.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(+.f64 0 (.f64 (PI.f64) (.f64 f 1/4)))
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(-.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 f 1/2)) 2)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(/.f64 (*.f64 (PI.f64) f) 4)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(/.f64 (*.f64 (PI.f64) (+.f64 f f)) 8)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 f 4)) 16)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 f 4))) 32)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 1/4 (.f64 f (PI.f64)))
(pow.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(.f64 1/4 (.f64 f (PI.f64)))

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 25 computations (32.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`rational.json-1`
1630×	`rational.json-2`
1630×	`rational.json-3`
1610×	`rational.json-4`
1584×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	61
1	81	61
2	232	61
3	696	61
4	2375	61
5	5952	61

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (*.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 8 f) (*.f64 4 (PI.f64))) (/.f64 (/.f64 8 f) (*.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)) (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 4 (*.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 f) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 f) (*.f64 (/.f64 1 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 8 f) (*.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 4 (*.f64 f (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (PI.f64)) (/.f64 4 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (*.f64 f (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (/.f64 4 f)) (/.f64 1 (*.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (PI.f64)) (/.f64 1 (+.f64 f f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 f) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (PI.f64)) (/.f64 -1 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -4 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -4 (PI.f64)) f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 8 (*.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (PI.f64)) (/.f64 8 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 8 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 f f)) (/.f64 8 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4 f) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 8 f) (*.f64 4 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 4 (PI.f64))) (*.f64 4 (/.f64 4 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (PI.f64)) (/.f64 -4 f))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 f) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4 (PI.f64)) f))))))

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))))

simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1652×	`rational.json-simplify-35`
1292×	`rational.json-simplify-2`
1142×	`rational.json-simplify-61`
1056×	`rational.json-simplify-51`
778×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	175	2969
1	329	2953
2	783	2953
3	2852	2953
4	7307	2953

Stop Event

1×	node limit

Counts

129 → 113

Calls

Call 1

Inputs
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)
(+.f64 0 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 (/.f64 (/.f64 8 f) (.f64 4 (PI.f64))) (/.f64 (/.f64 8 f) (.f64 4 (PI.f64))))
(+.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)) (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)))
(-.f64 (/.f64 4 (*.f64 f (PI.f64))) 0)
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(.f64 (/.f64 4 (.f64 f (PI.f64))) 1)
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(*.f64 (/.f64 8 f) (/.f64 1/2 (PI.f64)))
(.f64 (/.f64 8 f) (.f64 (/.f64 1 (PI.f64)) 1/2))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 2 (/.f64 (/.f64 8 f) (.f64 4 (PI.f64))))
(.f64 2 (/.f64 (/.f64 4 (.f64 f (PI.f64))) 2))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 4 f)))
(.f64 (/.f64 8 (.f64 f (PI.f64))) 1/2)
(.f64 (.f64 4 (/.f64 4 f)) (/.f64 1 (*.f64 4 (PI.f64))))
(*.f64 (/.f64 8 (PI.f64)) (/.f64 1 (+.f64 f f)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))
(*.f64 (/.f64 -4 f) (/.f64 -1 (PI.f64)))
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 -1 f))
(*.f64 -1 (/.f64 (/.f64 -4 f) (PI.f64)))
(*.f64 -1 (/.f64 (/.f64 -4 (PI.f64)) f))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(.f64 1/2 (/.f64 8 (.f64 f (PI.f64))))
(*.f64 (/.f64 1/2 (PI.f64)) (/.f64 8 f))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 8 f))
(*.f64 (/.f64 1 (+.f64 f f)) (/.f64 8 (PI.f64)))
(*.f64 (/.f64 (/.f64 -4 f) (PI.f64)) -1)
(*.f64 (/.f64 (/.f64 -4 (PI.f64)) f) -1)
(.f64 (/.f64 (/.f64 8 f) (.f64 4 (PI.f64))) 2)
(.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) 2) 2)
(.f64 (/.f64 1 (.f64 4 (PI.f64))) (*.f64 4 (/.f64 4 f)))
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 -4 f))
(*.f64 (/.f64 -1 f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1)
(neg.f64 (/.f64 (/.f64 -4 f) (PI.f64)))
(neg.f64 (/.f64 (/.f64 -4 (PI.f64)) f))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 2)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1)
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) (/.f64 1/2 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) (.f64 (/.f64 1 (PI.f64)) 1/2))
(.f64 2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 2)))
(.f64 2 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 2 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1/2 (PI.f64)))))
(.f64 (.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 2 (PI.f64))) 1/2)
(.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 4)) (/.f64 1 (*.f64 4 (PI.f64))))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 -1 (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(.f64 1/2 (.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 2 (PI.f64))))
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(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) -1)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 2)) 2)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 1 (.f64 4 (PI.f64))) (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 4)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 -1 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) 2)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) (/.f64 1/2 (PI.f64))))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)) (PI.f64))
(+.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 0)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 0 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 -1 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(+.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) -1)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 0)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(-.f64 0 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 (.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) 1/2)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 2 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 4)) 1/4)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) -1)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 -1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 1/4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 4)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 1/2 (.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) 2)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) 2)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 4)) 4)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 2) 4) 8)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -2) -2)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(/.f64 (.f64 2 (.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) 4)) 16)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(neg.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 54 to 41 computations (24.1% saved)

series37.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
16.0ms	f	@	-inf	(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
13.0ms	f	@	inf	(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
7.0ms	f	@	0	(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(/.f64 (/.f64 -4 (PI.f64)) f)
0.0ms	f	@	-inf	(log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f))))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1654×	`rational.json-1`
1654×	`rational.json-2`
1654×	`rational.json-3`
1646×	`rational.json-4`
1626×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	118
1	113	118
2	274	100
3	742	94
4	2408	94
5	6046	94

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -4 (.f64 (PI.f64) f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -4 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -8 (PI.f64)) (.f64 f 4)) (/.f64 (/.f64 -8 (PI.f64)) (.f64 f 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 -4 f) (.f64 (PI.f64) 2)) (/.f64 (/.f64 -4 f) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 -4 (.f64 (PI.f64) f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 (PI.f64)) (/.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 (.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 4 (PI.f64)) f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 4 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -4 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -8 (PI.f64)) (/.f64 1/2 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -8 (PI.f64)) (.f64 (/.f64 1 f) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 f) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 -8 (PI.f64)) (.f64 f 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (/.f64 -8 (PI.f64)) f) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 f) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 -4 (PI.f64)) 4) (/.f64 1 (.f64 f 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -8 f) (/.f64 1 (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 f) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (/.f64 -8 (PI.f64)) f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (PI.f64)) (/.f64 -1 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 f) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (/.f64 -4 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -8 (PI.f64)) f) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 f) (/.f64 -8 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 f) 1/2) (/.f64 -8 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (PI.f64) 2)) (/.f64 -8 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (PI.f64)) f) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 f) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -8 (PI.f64)) (.f64 f 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 -8 (PI.f64)) f) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 f 4)) (.f64 (/.f64 -4 (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 f) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (PI.f64)) (/.f64 4 f))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -4 (*.f64 (PI.f64) f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 4 (PI.f64)) f))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (/.f64 -4 (.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -4 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 (.f64 (PI.f64) f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -4 (.f64 (PI.f64) f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 4)) (.f64 2 (.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 4)) (.f64 2 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 1)))))

simplify131.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1052×	`rational.json-simplify-41`
994×	`rational.json-simplify-35`
808×	`rational.json-simplify-46`
778×	`rational.json-simplify-43`
568×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	217	3738
1	483	3642
2	1497	3642
3	4237	3642
4	6374	3642

Stop Event

1×	node limit

Counts

156 → 137

Calls

Call 1

Inputs
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(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 -4 (*.f64 f (PI.f64)))
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(.f64 -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)))
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 4 (*.f64 f (PI.f64)))
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Outputs
(/.f64 -4 (*.f64 f (PI.f64)))
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(/.f64 -4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 -4 (PI.f64)) f)
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(/.f64 (.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 4) 4)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (.f64 2 (.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f))) 4)) 8)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 4)) (.f64 2 (.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f))) 4))) 16)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(pow.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f))) 1)
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(+.f64 (log.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))) 0)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(+.f64 0 (log.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(-.f64 (log.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))) 0)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 1 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 1)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 2 (/.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 2))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 (.f64 (log.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))) 2) 1/2)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 1/2 (.f64 (log.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))) 2))
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(.f64 (/.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 2) 2)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (log.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))) 1)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 2) 2)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 4) 4)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (.f64 2 (.f64 (log.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))) 4)) 8)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 4)) (.f64 2 (.f64 (log.f64 (neg.f64 (/.f64 -4 (.f64 (PI.f64) f)))) 4))) 16)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(pow.f64 (log.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f)))) 1)
(log.f64 (/.f64 (/.f64 4 (PI.f64)) f))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))

localize21.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (/.f64 4 f) (PI.f64))
✓	5.2b	(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))
✓	11.8b	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))

Compiler

Compiled 35 to 24 computations (31.4% saved)

series92.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
60.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
16.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
16.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
0.0ms	f	@	0	(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))
0.0ms	f	@	inf	(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`rational.json-1`
1644×	`rational.json-2`
1644×	`rational.json-3`
1638×	`rational.json-4`
1618×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	94	62
2	253	62
3	721	62
4	2345	62
5	5851	62

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (neg.f64 (/.f64 8 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (neg.f64 (/.f64 8 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (/.f64 8 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (neg.f64 (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (neg.f64 (PI.f64)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 (neg.f64 (*.f64 (PI.f64) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (*.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) (*.f64 2 (*.f64 4 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 f) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 1 (PI.f64)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 4 f) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 8 f) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 1/2 (PI.f64)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 8 f) (/.f64 -4 (PI.f64))) (pow.f64 (*.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 (/.f64 4 (PI.f64))) (pow.f64 (/.f64 (/.f64 8 f) (PI.f64)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 8 f) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 1 f) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 f) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 4 (PI.f64)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) -1) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (-.f64 1 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 8 (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 1 (+.f64 f f)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 (/.f64 4 f) (*.f64 (PI.f64) 2)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 8 f) 2) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 1 (*.f64 4 (PI.f64))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -4 (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 -1 f) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 8 f) (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 2 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -4 f) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 -1 (PI.f64)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 (/.f64 -4 (PI.f64)) f) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) (*.f64 2 (*.f64 4 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))))) 16)))))

simplify125.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1400×	`rational.json-simplify-35`
934×	`exponential.json-simplify-26`
892×	`rational.json-simplify-46`
818×	`rational.json-simplify-2`
814×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	169	2947
1	379	2919
2	838	2915
3	2212	2915
4	5788	2885
5	7964	2885

Stop Event

1×	node limit

Counts

79 → 96

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 (/.f64 4 f) (PI.f64)))) 0)
(+.f64 0 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(-.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 0)
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))
(.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(.f64 1 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))
(.f64 2 (/.f64 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 2))
(.f64 (.f64 (neg.f64 (/.f64 8 (PI.f64))) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1/2)
(*.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (/.f64 -4 (PI.f64)))
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(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(/.f64 (+.f64 (.f64 2 (.f64 4 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))))) (.f64 2 (.f64 4 (.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64))))))) 16)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(/.f64 (neg.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) (neg.f64 (*.f64 (PI.f64) -1/4)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 f) (PI.f64)))) 1)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(*.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 (/.f64 4 (PI.f64)) f)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))
(+.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 0)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(+.f64 0 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(-.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 0)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(*.f64 1 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(*.f64 2 (/.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 2))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(.f64 (.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 2) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(.f64 1/2 (.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 2))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 4 f) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 1 (PI.f64)) (/.f64 -4 (PI.f64))))
(pow.f64 (*.f64 (/.f64 4 f) (/.f64 1 (PI.f64))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 4 f) (/.f64 -4 (PI.f64))))
(pow.f64 (*.f64 (/.f64 4 f) (/.f64 1 (PI.f64))) (/.f64 -4 (PI.f64)))
(*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 2) 2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 8 f) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 1/2 (PI.f64)) (/.f64 -4 (PI.f64))))
(pow.f64 (*.f64 (/.f64 1/2 (PI.f64)) (/.f64 8 f)) (/.f64 -4 (PI.f64)))
(pow.f64 (*.f64 (/.f64 8 f) (/.f64 1/2 (PI.f64))) (/.f64 -4 (PI.f64)))
(.f64 (pow.f64 (/.f64 8 f) (/.f64 -4 (PI.f64))) (pow.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 -4 (PI.f64))))
(pow.f64 (.f64 (/.f64 8 f) (.f64 1/2 (/.f64 1 (PI.f64)))) (/.f64 -4 (PI.f64)))
(pow.f64 (.f64 1/2 (.f64 (/.f64 1 (PI.f64)) (/.f64 8 f))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 2 (/.f64 4 (PI.f64))) (pow.f64 (/.f64 (/.f64 8 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(.f64 (pow.f64 2 (/.f64 4 (PI.f64))) (pow.f64 (/.f64 8 (.f64 f (PI.f64))) (/.f64 -4 (PI.f64))))
(.f64 (pow.f64 2 (/.f64 4 (PI.f64))) (pow.f64 (/.f64 8 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(.f64 (pow.f64 (/.f64 8 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) (pow.f64 2 (/.f64 4 (PI.f64))))
(pow.f64 (.f64 1/2 (/.f64 8 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 1/2 (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 8 f) (/.f64 -4 (PI.f64))))
(pow.f64 (*.f64 (/.f64 1/2 (PI.f64)) (/.f64 8 f)) (/.f64 -4 (PI.f64)))
(pow.f64 (*.f64 (/.f64 8 f) (/.f64 1/2 (PI.f64))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 4 (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 1 f) (/.f64 -4 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 1 f) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 4 (PI.f64)) (/.f64 -4 (PI.f64))))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) -1) (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (-.f64 1 (/.f64 4 (PI.f64)))))
(.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) -1) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (-.f64 1 (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) -1) (pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (-.f64 1 (/.f64 4 (PI.f64)))))
(.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) -1) (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (-.f64 1 (/.f64 4 (PI.f64)))))
(*.f64 (pow.f64 (/.f64 8 (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 1 (+.f64 f f)) (/.f64 -4 (PI.f64))))
(pow.f64 (*.f64 (/.f64 8 (PI.f64)) (/.f64 1 (+.f64 f f))) (/.f64 -4 (PI.f64)))
(.f64 (pow.f64 2 (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 (/.f64 4 f) (.f64 (PI.f64) 2)) (/.f64 -4 (PI.f64))))
(pow.f64 (.f64 2 (/.f64 4 (.f64 f (*.f64 (PI.f64) 2)))) (/.f64 -4 (PI.f64)))
(pow.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 2 (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 (/.f64 (/.f64 4 f) (PI.f64)) 2) (/.f64 -4 (PI.f64))))
(pow.f64 (.f64 2 (/.f64 4 (.f64 f (*.f64 (PI.f64) 2)))) (/.f64 -4 (PI.f64)))
(pow.f64 (*.f64 2 (/.f64 (/.f64 2 f) (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(.f64 (pow.f64 (.f64 (/.f64 8 f) 2) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 1 (*.f64 4 (PI.f64))) (/.f64 -4 (PI.f64))))
(pow.f64 (.f64 (.f64 2 (/.f64 8 f)) (/.f64 1/4 (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (.f64 2 (.f64 (/.f64 8 f) (/.f64 1/4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 -4 (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 -1 f) (/.f64 -4 (PI.f64))))
(pow.f64 (*.f64 (/.f64 -4 (PI.f64)) (/.f64 -1 f)) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 -4 (PI.f64)) (neg.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 (/.f64 8 f) (PI.f64)) (/.f64 -4 (PI.f64))) (pow.f64 2 (/.f64 4 (PI.f64))))
(.f64 (pow.f64 2 (/.f64 4 (PI.f64))) (pow.f64 (/.f64 8 (.f64 f (PI.f64))) (/.f64 -4 (PI.f64))))
(.f64 (pow.f64 2 (/.f64 4 (PI.f64))) (pow.f64 (/.f64 8 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))
(.f64 (pow.f64 (/.f64 8 (.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))) (pow.f64 2 (/.f64 4 (PI.f64))))
(pow.f64 (.f64 1/2 (/.f64 8 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 (/.f64 -4 f) (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 -1 (PI.f64)) (/.f64 -4 (PI.f64))))
(pow.f64 (*.f64 (/.f64 -4 f) (/.f64 -1 (PI.f64))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 -1 (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(pow.f64 (.f64 -1 (/.f64 -4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(pow.f64 (.f64 -1 (/.f64 -4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(pow.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(*.f64 (pow.f64 -1 (/.f64 -4 (PI.f64))) (pow.f64 (/.f64 (/.f64 -4 (PI.f64)) f) (/.f64 -4 (PI.f64))))
(pow.f64 (.f64 -1 (/.f64 -4 (.f64 f (PI.f64)))) (/.f64 -4 (PI.f64)))
(pow.f64 (.f64 -1 (/.f64 -4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(pow.f64 (neg.f64 (/.f64 -4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 1)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))) 2) 2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(/.f64 (*.f64 4 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))) 4)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(/.f64 (.f64 2 (.f64 4 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) 8)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 4 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))) (.f64 2 (.f64 4 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))))) 16)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) (/.f64 -4 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64)))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) f)
✓	0.4b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
✓	0.7b	(.f64 f (.f64 (PI.f64) 1/12))
✓	1.0b	(*.f64 (PI.f64) 1/12)

Compiler

Compiled 77 to 48 computations (37.7% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	-inf	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(.f64 f (.f64 (PI.f64) 1/12))
0.0ms	f	@	inf	(.f64 f (.f64 (PI.f64) 1/12))

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`rational.json-1`
1494×	`rational.json-2`
1494×	`rational.json-3`
1488×	`rational.json-4`
1484×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	83
1	128	83
2	289	83
3	707	83
4	1978	83
5	5101	83

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 1/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) 1/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 1/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (PI.f64) 1/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (PI.f64) 1/3)) (*.f64 2 (*.f64 (PI.f64) 1/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) 1/12) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (*.f64 1/12 f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 f 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 f (*.f64 (PI.f64) 1/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 f (*.f64 (PI.f64) 1/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 f (*.f64 (PI.f64) 1/3))) (*.f64 2 (*.f64 f (*.f64 (PI.f64) 1/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (+.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (pow.f64 (+.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (pow.f64 (+.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (PI.f64) -1/2) (log.f64 (+.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (+.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))) (/.f64 (*.f64 (PI.f64) -1/4) (log.f64 (+.f64 (*.f64 (PI.f64) (*.f64 1/12 f)) (*.f64 4 (/.f64 1 (*.f64 (PI.f64) f))))))))))) (#(struct:change 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simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1348×	`rational.json-simplify-53`
1216×	`rational.json-simplify-2`
980×	`rational.json-simplify-51`
846×	`rational.json-simplify-35`
804×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	211	4089
1	533	3867
2	1261	3867
3	4099	3867
4	6384	3867

Stop Event

1×	node limit

Counts

81 → 108

Calls

Call 1

Inputs
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64))))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
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(-.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
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(/.f64 (.f64 2 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (.f64 (PI.f64) -1/2))
(/.f64 (.f64 2 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))) (+.f64 (/.f64 (neg.f64 (PI.f64)) 4) (/.f64 (neg.f64 (PI.f64)) 4)))
(/.f64 -16 (+.f64 (/.f64 (.f64 (PI.f64) 2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (/.f64 (.f64 (PI.f64) 2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))))))
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(/.f64 (.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) 4) (.f64 2 (*.f64 (PI.f64) -1/2)))
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(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) 4)) (+.f64 (.f64 4 (.f64 (PI.f64) -1/4)) (.f64 4 (.f64 (PI.f64) -1/4))))
(/.f64 (/.f64 (.f64 2 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))) (/.f64 (PI.f64) -8)) 4)
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (PI.f64)) -1/4)
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) 2) (/.f64 (PI.f64) -8))
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(/.f64 (+.f64 (/.f64 (.f64 2 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) -8)) (/.f64 (.f64 2 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) -8))) 8)
(/.f64 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (PI.f64))) -1/2)
(/.f64 (+.f64 (neg.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (neg.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))))) (+.f64 (neg.f64 (.f64 (PI.f64) -1/4)) (neg.f64 (.f64 (PI.f64) -1/4))))
(/.f64 (/.f64 (.f64 2 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))) (PI.f64)) -1/2)
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) 2)) -1/8)
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) 1/2) (*.f64 (PI.f64) -1/2))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) -1/4) (PI.f64))
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(pow.f64 (log.f64 (pow.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 1)
(log.f64 (pow.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))

Outputs
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
(.f64 1/12 (.f64 f (PI.f64)))
(.f64 (PI.f64) (.f64 1/12 f))
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(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (/.f64 (PI.f64) -8)))) (.f64 2 (.f64 2 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (/.f64 (PI.f64) -8))))) 16)
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (+.f64 (/.f64 (.f64 2 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) -8)) (/.f64 (.f64 2 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) -8))) 8)
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (PI.f64)) (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (PI.f64))) -1/2)
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (+.f64 (neg.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (neg.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))))) (+.f64 (neg.f64 (.f64 (PI.f64) -1/4)) (neg.f64 (.f64 (PI.f64) -1/4))))
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (.f64 2 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))) (PI.f64)) -1/2)
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) 2)) -1/8)
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) 1/2) (*.f64 (PI.f64) -1/2))
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) -1/4) (PI.f64))
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (neg.f64 (.f64 2 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))))) (neg.f64 (.f64 (PI.f64) -1/2)))
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))))) (*.f64 (PI.f64) -1/4))
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64)))))) (/.f64 -4 (PI.f64)))
(pow.f64 (log.f64 (pow.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 1)
(log.f64 (pow.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (*.f64 4 (/.f64 (/.f64 1 (PI.f64)) f))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (*.f64 4 (/.f64 (/.f64 1 f) (PI.f64)))) (/.f64 -4 (PI.f64))))
(log.f64 (pow.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))

eval564.0ms (2.8%)

Compiler: Compiled 18040 to 13215 computations (26.7% saved)

prune135.0ms (0.7%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	728	8	736
Fresh	0	4	4
Picked	0	1	1
Done	0	7	7
Total	728	20	748

Error

1.0b

Counts

748 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64)) -1/4)
	1.6b	(/.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 0)) -1/4)
▶	1.6b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	1.5b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))))
	1.4b	(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))
	1.6b	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
✓	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))))) (/.f64 -4 (PI.f64)))
✓	1.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 -4 (PI.f64)))
▶	1.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
	61.9b	(.f64 (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	1.7b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	1.7b	(.f64 (log.f64 (-.f64 1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1))) (/.f64 -4 (PI.f64)))
✓	1.5b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
✓	1.7b	(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
▶	1.6b	(.f64 -4 (/.f64 (+.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -1) (PI.f64)))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
▶	1.6b	(.f64 -4 (/.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) (PI.f64)))
✓	1.6b	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
▶	1.7b	(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
✓	13.7b	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))

Compiler

Compiled 640 to 522 computations (18.4% saved)

localize105.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))))
	1.0b	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
	1.0b	(pow.f64 (PI.f64) 5)
	1.0b	(pow.f64 (PI.f64) 3)

Compiler

Compiled 269 to 199 computations (26% saved)

series7.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))

3.0ms

-inf

(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))

0.0ms

(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`rational.json-1`
1644×	`rational.json-2`
1644×	`rational.json-3`
1638×	`rational.json-4`
1630×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	131
1	235	131
2	492	119
3	1127	119
4	2570	119
5	6004	119

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs

(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5))))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5))))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))))) (*.f64 2 (*.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5))))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (*.f64 f 1/4))) (exp.f64 (*.f64 (PI.f64) (*.f64 f -1/4)))) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (+.f64 (*.f64 1/192 (pow.f64 (*.f64 (PI.f64) f) 3)) (*.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5)))))) 1)))))

simplify207.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-35`
1318×	`rational.json-simplify-61`
1062×	`rational.json-simplify-41`
1002×	`rational.json-simplify-2`
790×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	233	5189
1	487	4553
2	848	4473
3	1633	4449
4	3333	4437
5	4670	4437
6	5474	4437
7	6596	4437
8	7949	4437

Stop Event

1×	node limit

Counts

27 → 82

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(/.f64 (+.f64 (.f64 2 (.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (.f64 1/61440 (pow.f64 (.f64 (PI.f64) f) 5)))))))) (.f64 2 (.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (.f64 1/61440 (pow.f64 (.f64 (PI.f64) f) 5))))))))) 16)
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Outputs
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(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (.f64 1/61440 (pow.f64 (.f64 (PI.f64) f) 5)))))) 1)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(/.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (.f64 1/61440 (pow.f64 (.f64 (PI.f64) f) 5))))) 2)) 2)
(/.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))) 2)) 2)
(/.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))) 2)) 2)
(/.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))) 2)) 2)
(/.f64 (log.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))) 2)) 2)
(/.f64 (.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (.f64 1/61440 (pow.f64 (*.f64 (PI.f64) f) 5))))))) 4)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(/.f64 (.f64 2 (.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (.f64 1/61440 (pow.f64 (.f64 (PI.f64) f) 5)))))))) 8)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(/.f64 (+.f64 (.f64 2 (.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (.f64 1/61440 (pow.f64 (.f64 (PI.f64) f) 5)))))))) (.f64 2 (.f64 4 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (.f64 1/61440 (pow.f64 (.f64 (PI.f64) f) 5))))))))) 16)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(pow.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (.f64 1/61440 (pow.f64 (.f64 (PI.f64) f) 5)))))) 1)
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 1/2 (PI.f64))) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (.f64 f (PI.f64)) 5))))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1998×	`rational.json-1`
1998×	`rational.json-2`
1998×	`rational.json-3`
1638×	`rational.json-simplify-35`
970×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	96	60
2	267	60
3	810	60
4	2808	60
5	6903	60

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (/.f64 -2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (*.f64 (/.f64 -4 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 -2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -8) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (PI.f64)) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -4 (PI.f64)) 1/2) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -1/4) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (PI.f64)) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (*.f64 (PI.f64) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 -2 (PI.f64)) (/.f64 -2 (PI.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))) (/.f64 -4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) 2) (/.f64 -2 (PI.f64))))))))

simplify94.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1160×	`rational.json-simplify-41`
1116×	`rational.json-simplify-43`
1096×	`rational.json-simplify-49`
846×	`rational.json-simplify-35`
828×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	150	2946
1	284	2930
2	538	2930
3	1403	2930
4	5106	2930

Stop Event

1×	node limit

Counts

90 → 78

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 76 to 50 computations (34.2% saved)

series1.0ms (0%)

Counts

4 → 24

Calls

12 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1692×	`rational.json-1`
1692×	`rational.json-2`
1692×	`rational.json-3`
1678×	`rational.json-4`
1662×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	102
1	121	90
2	289	70
3	780	70
4	2348	70
5	5915	70

Stop Event

1×	node limit

Counts

4 → 106

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) (.f64 1/2 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) (/.f64 -1 (.f64 2 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 2 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 2 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -2) (/.f64 1 (.f64 2 (neg.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) (PI.f64)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 2 (.f64 (PI.f64) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (PI.f64)) (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (/.f64 1 (PI.f64))) (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 2 (neg.f64 (PI.f64)))) (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 2 (neg.f64 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 2 (neg.f64 (PI.f64)))) (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 2 (neg.f64 (PI.f64)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (PI.f64) 8)) (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 f (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 f (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 f (.f64 (PI.f64) 1/4)) (+.f64 (.f64 f (.f64 (PI.f64) 1/4)) (.f64 (PI.f64) (.f64 f 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (PI.f64) (.f64 f 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 f (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 f (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (/.f64 (/.f64 4 f) (.f64 (PI.f64) 2)) (/.f64 (/.f64 4 f) (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 f (.f64 (PI.f64) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (.f64 f (PI.f64))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 f (.f64 (PI.f64) 2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 f (.f64 (PI.f64) 2)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4 f) (.f64 (PI.f64) 2)) (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f))) (.f64 (/.f64 (/.f64 4 f) (.f64 (PI.f64) 2)) (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)) (/.f64 (/.f64 4 f) (.f64 (PI.f64) 2))) (.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)) (/.f64 (/.f64 4 f) (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)) (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f))) (.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)) (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 f (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 f (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (.f64 f (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 4 (.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 4 (.f64 f (.f64 (PI.f64) 2))) (/.f64 4 (.f64 f (.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 4 f) (.f64 (PI.f64) 2)) (/.f64 (/.f64 4 f) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 4 (.f64 f (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 4 (.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (.f64 f (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 -4 f) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 f) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 4 (.f64 f (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 4 f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 4 f) 2) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (PI.f64)) (/.f64 1 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 8 (.f64 f (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (/.f64 4 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -4 f) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 8 (.f64 f (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (PI.f64)) (.f64 (/.f64 4 f) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 f) (/.f64 4 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -4 f) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (PI.f64)) (/.f64 -4 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -4 f) (PI.f64)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -2 (-.f64 (-.f64 -1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))

simplify90.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1488×	`rational.json-simplify-61`
1316×	`rational.json-simplify-51`
1152×	`rational.json-simplify-49`
946×	`rational.json-simplify-35`
732×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	205	2996
1	457	2980
2	1309	2980
3	5609	2980

Stop Event

1×	node limit

Counts

130 → 130

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 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f)))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 2)) (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (.f64 (PI.f64) 2)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 -1 (PI.f64)))
(.f64 -1 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1)
(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) (/.f64 1/2 (PI.f64)))
(.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) (.f64 1/2 (/.f64 1 (PI.f64))))
(.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) (/.f64 -1 (.f64 2 (neg.f64 (PI.f64)))))
(.f64 2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 (PI.f64) 2)))
(.f64 2 (/.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (*.f64 2 (neg.f64 (PI.f64)))))
(.f64 2 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 -2 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 2 (neg.f64 (PI.f64)))))
(.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -2) (/.f64 1 (.f64 2 (neg.f64 (PI.f64)))))
(*.f64 (/.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) (PI.f64)) 1/2)
(.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 2 (.f64 (PI.f64) 8)))
(*.f64 1/2 (/.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) (PI.f64)))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(*.f64 (/.f64 1/2 (PI.f64)) (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)))
(.f64 (.f64 1/2 (/.f64 1 (PI.f64))) (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)))
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Outputs
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(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 4 f)))
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(.f64 1/2 (/.f64 8 (.f64 (PI.f64) f)))
(*.f64 1/2 (/.f64 (/.f64 8 f) (PI.f64)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))
(*.f64 (/.f64 -4 f) (/.f64 -1 (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 -4 f))
(.f64 (/.f64 8 (.f64 f (PI.f64))) 1/2)
(.f64 1/2 (/.f64 8 (.f64 (PI.f64) f)))
(*.f64 1/2 (/.f64 (/.f64 8 f) (PI.f64)))
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(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 4 f)))
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(*.f64 (/.f64 (/.f64 -4 f) (PI.f64)) -1)
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(-.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 0)
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(-.f64 (+.f64 -1 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) -1)
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(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1)
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(*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) 1/2)
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(.f64 1/4 (.f64 4 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
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(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 2) 2)
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(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
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(/.f64 (log.f64 (pow.f64 (/.f64 -4 (*.f64 (PI.f64) f)) 2)) 2)
(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) -2) -2)
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(/.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 4)
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) 4) 8)
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(/.f64 (.f64 2 (.f64 (log.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 2)) 4)) 16)
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(pow.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1)
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(neg.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))
(log.f64 (/.f64 4 (*.f64 f (PI.f64))))
(log.f64 (/.f64 4 (*.f64 (PI.f64) f)))
(log.f64 (/.f64 (/.f64 4 f) (PI.f64)))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
	0.3b	(/.f64 4 (*.f64 f (PI.f64)))
	0.3b	(*.f64 f (PI.f64))
✓	5.1b	(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))

Compiler

Compiled 48 to 29 computations (39.6% saved)

series50.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
17.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
14.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
1.0ms	f	@	0	(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
0.0ms	f	@	-inf	(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1276×	`rational.json-1`
1276×	`rational.json-2`
1276×	`rational.json-3`
1272×	`rational.json-4`
1264×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	97	62
2	233	62
3	601	56
4	1839	56
5	4544	56

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2) (/.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 f) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 1 (PI.f64)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 4 f) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 (/.f64 1 (PI.f64))) (pow.f64 (/.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) (/.f64 1 (PI.f64))) (pow.f64 2 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 8 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) (pow.f64 1/2 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/2 (/.f64 1 (PI.f64))) (pow.f64 (/.f64 8 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (/.f64 4 f)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 (/.f64 2 (PI.f64)) 4) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 1 f) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 f) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 4 (PI.f64)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -4 f) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 -1 (PI.f64)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 -4 f) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 (/.f64 1 (PI.f64))) (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 -1 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) 4) (/.f64 1 (PI.f64))) (pow.f64 (*.f64 2 (/.f64 4 f)) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))) 16)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2) (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (neg.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)))))

simplify175.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1176×	`rational.json-simplify-2`
886×	`rational.json-simplify-35`
842×	`rational.json-simplify-46`
794×	`rational.json-simplify-1`
734×	`rational.json-simplify-50`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	133	2434
1	304	2418
2	632	2418
3	1800	2418
4	3886	2418
5	4965	2410
6	6176	2410
7	7442	2410

Stop Event

1×	node limit

Counts

76 → 70

Calls

Call 1

Inputs
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
(+.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 0)
(+.f64 0 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(+.f64 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2) (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2))
(-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 0)
(.f64 1 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 1)
(.f64 2 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2))
(.f64 (.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2) 1/2)
(.f64 1/2 (.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2))
(.f64 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2) 2)
(*.f64 (pow.f64 (/.f64 4 f) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 1 (PI.f64)) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 4 f) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 2 (/.f64 1 (PI.f64))) (pow.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (/.f64 1 (PI.f64))) (pow.f64 2 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (/.f64 8 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))) (pow.f64 1/2 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 1/2 (/.f64 1 (PI.f64))) (pow.f64 (/.f64 8 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (.f64 2 (/.f64 4 f)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 (/.f64 2 (PI.f64)) 4) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (/.f64 4 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 1 f) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (/.f64 1 f) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 4 (PI.f64)) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (/.f64 -4 f) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 -1 (PI.f64)) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (/.f64 -1 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 -4 f) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 -1 (/.f64 1 (PI.f64))) (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) (/.f64 1 (PI.f64))))
(*.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 -1 (/.f64 1 (PI.f64))))
(.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) 4) (/.f64 1 (PI.f64))) (pow.f64 (.f64 2 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(/.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 1)
(/.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2) 2)
(/.f64 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) 4)
(/.f64 (.f64 2 (.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))) 16)
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2))
(-.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1)
(.f64 2 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2))
(.f64 (.f64 (/.f64 2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1/2)
(.f64 1/2 (.f64 (/.f64 2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) 2)
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(/.f64 (.f64 (/.f64 2 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 4)
(/.f64 (.f64 2 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 8)
(/.f64 (.f64 2 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (*.f64 (PI.f64) 2))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))) 16)
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (neg.f64 (PI.f64)))
(/.f64 (neg.f64 (.f64 2 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (neg.f64 (*.f64 (PI.f64) 2)))
(/.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)

Outputs
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
(exp.f64 (/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64)))
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(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 1 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
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(/.f64 (+.f64 (log.f64 (/.f64 -4 (PI.f64))) (log.f64 (/.f64 -1 f))) (PI.f64))
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(.f64 (.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2) 1/2)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
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(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) 2) (/.f64 1 (PI.f64))) (pow.f64 2 (/.f64 1 (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (/.f64 8 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))) (pow.f64 1/2 (/.f64 1 (PI.f64))))
(pow.f64 (.f64 (/.f64 8 (.f64 f (PI.f64))) 1/2) (/.f64 1 (PI.f64)))
(pow.f64 (.f64 1/2 (/.f64 8 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 1/2 (/.f64 1 (PI.f64))) (pow.f64 (/.f64 8 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(pow.f64 (.f64 (/.f64 8 (.f64 f (PI.f64))) 1/2) (/.f64 1 (PI.f64)))
(pow.f64 (.f64 1/2 (/.f64 8 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (.f64 2 (/.f64 4 f)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 (/.f64 2 (PI.f64)) 4) (/.f64 1 (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (/.f64 4 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 1 f) (/.f64 1 (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (/.f64 1 f) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 4 (PI.f64)) (/.f64 1 (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (/.f64 -4 f) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 -1 (PI.f64)) (/.f64 1 (PI.f64))))
(pow.f64 (*.f64 (/.f64 -4 f) (/.f64 -1 (PI.f64))) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 (/.f64 -4 f) (neg.f64 (PI.f64))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (/.f64 -1 (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 (/.f64 -4 f) (/.f64 1 (PI.f64))))
(pow.f64 (*.f64 (/.f64 -4 f) (/.f64 -1 (PI.f64))) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 (/.f64 -4 f) (neg.f64 (PI.f64))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 -1 (/.f64 1 (PI.f64))) (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) (/.f64 1 (PI.f64))))
(pow.f64 (*.f64 (/.f64 -4 f) (/.f64 -1 (PI.f64))) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 (/.f64 -4 f) (neg.f64 (PI.f64))) (/.f64 1 (PI.f64)))
(*.f64 (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) (/.f64 1 (PI.f64))) (pow.f64 -1 (/.f64 1 (PI.f64))))
(pow.f64 (*.f64 (/.f64 -4 f) (/.f64 -1 (PI.f64))) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 (/.f64 -4 f) (neg.f64 (PI.f64))) (/.f64 1 (PI.f64)))
(.f64 (pow.f64 (/.f64 (/.f64 2 (PI.f64)) 4) (/.f64 1 (PI.f64))) (pow.f64 (.f64 2 (/.f64 4 f)) (/.f64 1 (PI.f64))))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(/.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 1)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(/.f64 (.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64))) 2) 2)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(/.f64 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))) 4)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(/.f64 (.f64 2 (.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))) 8)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))) 16)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 1 (PI.f64)))
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64)))
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(+.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(-.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 2 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (.f64 (/.f64 2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) 1/2)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 1/2 (.f64 (/.f64 2 (PI.f64)) (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(/.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 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(.f64 (/.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 2) 2)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (.f64 (/.f64 2 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64))))) 2)
(/.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 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))) 4)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (.f64 2 (.f64 4 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))) 8)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (.f64 2 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (*.f64 (PI.f64) 2))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64))))) 16)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (neg.f64 (PI.f64)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (neg.f64 (.f64 2 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) (neg.f64 (*.f64 (PI.f64) 2)))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(/.f64 (neg.f64 (neg.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64))
(/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
	0.3b	(/.f64 4 (*.f64 f (PI.f64)))
	0.3b	(*.f64 f (PI.f64))
✓	0.3b	(/.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2))) (PI.f64))

Compiler

Compiled 66 to 43 computations (34.8% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2114×	`rational.json-1`
2114×	`rational.json-2`
1350×	`rational.json-simplify-35`
908×	`rational.json-3`
892×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	108	58
2	289	48
3	831	48
4	2642	48
5	6815	48

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) (pow.f64 1 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 f) 1/2) (pow.f64 (/.f64 1 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/2) (pow.f64 (/.f64 4 f) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (/.f64 4 f)) 1/2) (pow.f64 (/.f64 1/2 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 1/2) (pow.f64 (/.f64 (/.f64 4 (*.f64 f (PI.f64))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (/.f64 4 (*.f64 f (PI.f64)))) 1/2) (pow.f64 1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 (PI.f64)) 1/2) (pow.f64 (/.f64 1 f) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -4 f) 1/2) (pow.f64 (/.f64 -1 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -1 1/2) (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 4 f) 2) 1/4) (pow.f64 (pow.f64 (/.f64 1 (PI.f64)) 2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) (*.f64 2 (*.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)))) 16)))))

simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational.json-simplify-51`
1234×	`rational.json-simplify-35`
1176×	`rational.json-simplify-2`
1070×	`rational.json-simplify-1`
788×	`rational.json-simplify-53`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	169	1996
1	369	1984
2	702	1982
3	1306	1982
4	2677	1982
5	6171	1970
6	7725	1970

Stop Event

1×	node limit

Counts

74 → 107

Calls

Call 1

Inputs
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
(+.f64 (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)) (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(-.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(.f64 2 (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)))
(.f64 4 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64))))
(.f64 4 (.f64 (/.f64 1 (PI.f64)) (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1/4)))
(.f64 4 (log.f64 (pow.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2) (/.f64 1/2 (PI.f64)))))
(.f64 1/2 (.f64 2 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))))
(.f64 1/2 (log.f64 (pow.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 4) (/.f64 1/2 (PI.f64)))))
(.f64 (log.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 2 (PI.f64)))
(.f64 (log.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64))))) (*.f64 4 (/.f64 1/2 (PI.f64))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 1 (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 1/2 (/.f64 2 (PI.f64))))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)) 1)
(.f64 1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (PI.f64)))
(.f64 8 (.f64 (.f64 1/2 (.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4)) (/.f64 1 (PI.f64))))
(.f64 8 (.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 8) (/.f64 1 (PI.f64))))
(.f64 8 (.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1/4) (/.f64 1/2 (PI.f64))))
(.f64 (/.f64 2 (PI.f64)) (log.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (.f64 2 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))) (/.f64 1/2 (PI.f64)))
(.f64 (.f64 2 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 1/2 (/.f64 1 (PI.f64))))
(.f64 (.f64 2 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 1/4 (/.f64 2 (PI.f64))))
(.f64 (.f64 2 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64))) 1/2)
(.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 1/2 (.f64 2 (PI.f64))))
(.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 1/4 (/.f64 1 (PI.f64))))
(.f64 (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (.f64 1/2 (/.f64 1/2 (PI.f64))))
(.f64 (/.f64 4 (PI.f64)) (.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 2 (log.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (.f64 f (PI.f64))))) (PI.f64)) 2)
(.f64 (/.f64 1 (PI.f64)) (log.f64 (/.f64 4 (.f64 f (PI.f64)))))
(.f64 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 -1 (PI.f64)))
(.f64 -1 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 8) (.f64 1/8 (/.f64 1 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 8) (.f64 1/4 (/.f64 1/2 (PI.f64))))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (*.f64 4 (PI.f64))) 4)
(.f64 1/4 (.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 4 (PI.f64))))
(.f64 (.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) 1/4) (/.f64 4 (PI.f64)))
(.f64 (.f64 1/2 (/.f64 2 (PI.f64))) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(.f64 (.f64 4 (/.f64 1/2 (PI.f64))) (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))))
(.f64 (.f64 (/.f64 1 (PI.f64)) (.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) 1/4)) 4)
(.f64 (.f64 1/2 (/.f64 1 (PI.f64))) (.f64 2 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (PI.f64))) -1)
(.f64 (/.f64 1/2 (.f64 2 (PI.f64))) (.f64 4 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -1 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64))))))
(pow.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 1)
(neg.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (neg.f64 (PI.f64))))
(log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))))
(log.f64 (pow.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64)))) (/.f64 2 (PI.f64))))
(+.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) 0)
(+.f64 0 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))
(-.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) 0)
(.f64 2 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2) 2))
(.f64 1/2 (.f64 2 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)))
(.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2) 1)
(.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2) (pow.f64 1 1/4))
(.f64 1 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2))
(.f64 (.f64 2 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)) 1/2)
(.f64 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2) 2) 2)
(*.f64 (pow.f64 (/.f64 4 f) 1/2) (pow.f64 (/.f64 1 (PI.f64)) 1/2))
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/2) (pow.f64 (/.f64 4 f) 1/2))
(.f64 (pow.f64 (.f64 2 (/.f64 4 f)) 1/2) (pow.f64 (/.f64 1/2 (PI.f64)) 1/2))
(.f64 (pow.f64 2 1/2) (pow.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) 2) 1/2))
(.f64 (pow.f64 (.f64 2 (/.f64 4 (*.f64 f (PI.f64)))) 1/2) (pow.f64 1/2 1/2))
(*.f64 (pow.f64 (/.f64 4 (PI.f64)) 1/2) (pow.f64 (/.f64 1 f) 1/2))
(*.f64 (pow.f64 (/.f64 -4 f) 1/2) (pow.f64 (/.f64 -1 (PI.f64)) 1/2))
(*.f64 (pow.f64 -1 1/2) (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 1/2))
(.f64 (pow.f64 1 1/4) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 4 f) 2) 1/4) (pow.f64 (pow.f64 (/.f64 1 (PI.f64)) 2) 1/4))
(/.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) 1)
(/.f64 (.f64 2 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2)) 2)
(/.f64 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2)) 4)
(/.f64 (.f64 2 (.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2))) (.f64 2 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2)))) 16)

Outputs
(+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)) 0)
(/.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 (PI.f64)) f)) (PI.f64))
(+.f64 0 (/.f64 (log.f64 (/.f64 4 (*.f64 f (PI.f64)))) (PI.f64)))
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(.f64 1 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(.f64 (.f64 2 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)) 1/2)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(.f64 (/.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2) 2) 2)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(*.f64 (pow.f64 (/.f64 4 f) 1/2) (pow.f64 (/.f64 1 (PI.f64)) 1/2))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(*.f64 (pow.f64 (/.f64 1 (PI.f64)) 1/2) (pow.f64 (/.f64 4 f) 1/2))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(.f64 (pow.f64 (.f64 2 (/.f64 4 f)) 1/2) (pow.f64 (/.f64 1/2 (PI.f64)) 1/2))
(pow.f64 (.f64 (.f64 2 (/.f64 4 f)) (/.f64 1/2 (PI.f64))) 1/2)
(pow.f64 (.f64 (/.f64 1/2 (PI.f64)) (.f64 2 (/.f64 4 f))) 1/2)
(pow.f64 (.f64 2 (.f64 (/.f64 4 f) (/.f64 1/2 (PI.f64)))) 1/2)
(pow.f64 (.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 4 f))) 1/2)
(pow.f64 (.f64 2 (/.f64 2 (.f64 f (PI.f64)))) 1/2)
(.f64 (pow.f64 2 1/2) (pow.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) 2) 1/2))
(pow.f64 (.f64 (.f64 2 (/.f64 4 f)) (/.f64 1/2 (PI.f64))) 1/2)
(pow.f64 (.f64 (/.f64 1/2 (PI.f64)) (.f64 2 (/.f64 4 f))) 1/2)
(pow.f64 (.f64 2 (.f64 (/.f64 4 f) (/.f64 1/2 (PI.f64)))) 1/2)
(pow.f64 (.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 4 f))) 1/2)
(pow.f64 (.f64 2 (/.f64 2 (.f64 f (PI.f64)))) 1/2)
(.f64 (pow.f64 (.f64 2 (/.f64 4 (*.f64 f (PI.f64)))) 1/2) (pow.f64 1/2 1/2))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(*.f64 (pow.f64 (/.f64 4 (PI.f64)) 1/2) (pow.f64 (/.f64 1 f) 1/2))
(pow.f64 (*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f)) 1/2)
(*.f64 (pow.f64 (/.f64 -4 f) 1/2) (pow.f64 (/.f64 -1 (PI.f64)) 1/2))
(pow.f64 (*.f64 (/.f64 -4 f) (/.f64 -1 (PI.f64))) 1/2)
(pow.f64 (*.f64 (/.f64 -1 (PI.f64)) (/.f64 -4 f)) 1/2)
(*.f64 (pow.f64 -1 1/2) (pow.f64 (/.f64 (/.f64 -4 f) (PI.f64)) 1/2))
(pow.f64 (*.f64 -1 (/.f64 (/.f64 -4 f) (PI.f64))) 1/2)
(pow.f64 (neg.f64 (/.f64 (/.f64 -4 f) (PI.f64))) 1/2)
(pow.f64 (neg.f64 (/.f64 -4 (*.f64 f (PI.f64)))) 1/2)
(.f64 (pow.f64 1 1/4) (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(*.f64 (pow.f64 (pow.f64 (/.f64 4 f) 2) 1/4) (pow.f64 (pow.f64 (/.f64 1 (PI.f64)) 2) 1/4))
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(/.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2) 1)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(/.f64 (.f64 2 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2)) 2)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(/.f64 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2)) 4)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(/.f64 (.f64 2 (.f64 4 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) 8)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)
(/.f64 (+.f64 (.f64 2 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2))) (.f64 2 (.f64 4 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) 1/2)))) 16)
(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) 1/2)
(pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2)
(pow.f64 (/.f64 (/.f64 4 (PI.f64)) f) 1/2)

eval403.0ms (2%)

Compiler: Compiled 19801 to 14781 computations (25.4% saved)

prune135.0ms (0.7%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	703	5	708
Fresh	0	7	7
Picked	1	0	1
Done	2	10	12
Total	706	22	728

Error

1.0b

Counts

728 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.4b	(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64)) -1/4)
	1.6b	(/.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 0)) -1/4)
✓	1.6b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	1.5b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))))
	1.7b	(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
	1.4b	(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))
	1.6b	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
✓	61.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))))) (/.f64 -4 (PI.f64)))
✓	1.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 -4 (PI.f64)))
	1.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (*.f64 f (PI.f64)) 5)))))) (/.f64 -4 (PI.f64)))
	61.9b	(.f64 (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	1.7b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	1.7b	(.f64 (log.f64 (-.f64 1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1))) (/.f64 -4 (PI.f64)))
✓	1.5b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
✓	1.7b	(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
✓	1.6b	(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
	1.6b	(.f64 -4 (.f64 (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)) 2))
	1.7b	(.f64 -4 (.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 1/2 (/.f64 1/2 (PI.f64)))))))
✓	1.7b	(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
	1.7b	(.f64 -4 (log.f64 (.f64 (pow.f64 (/.f64 8 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) (pow.f64 1/2 (/.f64 1 (PI.f64))))))
✓	13.7b	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))

Compiler

Compiled 442 to 357 computations (19.2% saved)

regimes64.0ms (0.3%)

Counts

29 → 1

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (-.f64 1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -1) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (.f64 (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)) 2))
(.f64 -4 (/.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 1/2 (/.f64 1/2 (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))))
(/.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 0)) -1/4)
(.f64 -4 (log.f64 (.f64 (pow.f64 (/.f64 8 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) (pow.f64 1/2 (/.f64 1 (PI.f64))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64)) -1/4)
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.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 2 (/.f64 2 (.f64 (PI.f64) f))) (.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 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (*.f64 f (PI.f64)) 5)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 -4 (PI.f64)))

Outputs

(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (*.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)) (+.f64 (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (*.f64 (PI.f64) (*.f64 f 1/2)) (*.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 -4 (PI.f64)))

Calls

6 calls:

14.0ms	f
14.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
5.0ms	(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))))))))
5.0ms	(.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)))))))

Results

Error	Segments	Branch
1.4b	1	`f`
1.4b	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
1.4b	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
1.4b	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
1.4b	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
1.4b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 771 to 567 computations (26.5% saved)

regimes81.0ms (0.4%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (-.f64 1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -1) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (.f64 (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)) 2))
(.f64 -4 (/.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 1/2 (/.f64 1/2 (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))))
(/.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 0)) -1/4)
(.f64 -4 (log.f64 (.f64 (pow.f64 (/.f64 8 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) (pow.f64 1/2 (/.f64 1 (PI.f64))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64)) -1/4)
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 f (/.f64 (PI.f64) -4)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.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 2 (/.f64 2 (.f64 (PI.f64) f))) (.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 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (*.f64 f (PI.f64)) 5)))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 f 5) (*.f64 (pow.f64 (PI.f64) 5) 1/61440)))))) (/.f64 -4 (PI.f64)))

Outputs

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

Calls

6 calls:

14.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
13.0ms	f
7.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
5.0ms	(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))))))))
5.0ms	(.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)))))))

Results

Error	Segments	Branch
1.4b	1	`f`
1.4b	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
1.4b	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
1.4b	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
1.4b	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
1.4b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 717 to 526 computations (26.6% saved)

regimes19.0ms (0.1%)

Counts

21 → 1

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (-.f64 1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -1) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (.f64 (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)) 2))
(.f64 -4 (/.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 1/2 (/.f64 1/2 (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))))
(/.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 0)) -1/4)
(.f64 -4 (log.f64 (.f64 (pow.f64 (/.f64 8 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) (pow.f64 1/2 (/.f64 1 (PI.f64))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))

Outputs

(+.f64 (*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (*.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/12)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.4b	1	`f`

Compiler

Compiled 318 to 228 computations (28.3% saved)

regimes17.0ms (0.1%)

Counts

20 → 1

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (-.f64 1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -1) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (.f64 (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)) 2))
(.f64 -4 (/.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 1/2 (/.f64 1/2 (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))))
(/.f64 (+.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64)) (+.f64 (neg.f64 (/.f64 (log.f64 f) (PI.f64))) 0)) -1/4)
(.f64 -4 (log.f64 (.f64 (pow.f64 (/.f64 8 (*.f64 f (PI.f64))) (/.f64 1 (PI.f64))) (pow.f64 1/2 (/.f64 1 (PI.f64))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.5b	1	`f`

Compiler

Compiled 288 to 207 computations (28.1% saved)

regimes15.0ms (0.1%)

Counts

16 → 1

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (-.f64 1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -1) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (.f64 (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)) 2))
(.f64 -4 (/.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 1/2 (/.f64 1/2 (PI.f64)))))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.5b	1	`f`

Compiler

Compiled 212 to 154 computations (27.4% saved)

regimes13.0ms (0.1%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (-.f64 1 (+.f64 (/.f64 -4 (.f64 (PI.f64) f)) 1))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -1) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
(.f64 -4 (log.f64 (pow.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (PI.f64)))))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (.f64 (/.f64 (log.f64 (sqrt.f64 (/.f64 4 (*.f64 f (PI.f64))))) (PI.f64)) 2))
(.f64 -4 (/.f64 (.f64 2 (log.f64 (pow.f64 (/.f64 4 (*.f64 f (PI.f64))) 1/2))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (.f64 4 (log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (*.f64 1/2 (/.f64 1/2 (PI.f64)))))))

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.6b	1	`f`

Compiler

Compiled 194 to 142 computations (26.8% saved)

regimes6.0ms (0%)

Accuracy

Total -0.3b remaining (-21.1%)

Threshold costs -0.3b (-21.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.6b	1	`f`

Compiler

Compiled 73 to 52 computations (28.8% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	583

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64)) -1/4)
(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -1) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))

Outputs
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3))))) (PI.f64)) -1/4)
(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (-.f64 1 (neg.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))))) -1) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 (/.f64 4 f) (PI.f64))) (PI.f64)))

Compiler

Compiled 184 to 146 computations (20.7% saved)

soundness283.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1576×	`rational.json-simplify-35`
1516×	`rational.json-simplify-51`
1242×	`rational.json-simplify-49`
1020×	`rational.json-simplify-2`
978×	`rational.json-simplify-38`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	48	121
2	93	109
3	219	109
4	506	109
5	1268	109
6	3082	109
7	4973	109
8	6255	109
0	275	9028
1	622	8588
2	1751	8440
3	4574	8422
4	7491	8422

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 553 to 430 computations (22.2% saved)

end100.0ms (0.5%)

Compiler: Compiled 178 to 132 computations (25.8% saved)