Details

analyze319.0ms (1.5%)

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)

sample11.4s (54.6%)

Results

3.9s	4010×	body	1024	valid
3.3s	3946×	body	1024	invalid
1.2s	2010×	body	512	invalid
1.2s	1994×	body	512	valid
990.0ms	544×	body	2048	valid
571.0ms	1708×	body	256	valid
224.0ms	952×	body	256	invalid
6.0ms	7×	body	2048	invalid
1.0ms	4×	body	256	unsamplable

Bogosity

preprocess99.0ms (0.5%)

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 (0.4%)

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

61.3b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.3b	(.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

▶

61.3b

(*.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)

localize165.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	0.2b	(*.f64 f (/.f64 (PI.f64) -4))
✓	1.0b	(/.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)))))
✓	5.4b	(-.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)))))

rewrite94.0ms (0.5%)

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 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)))))

simplify230.0ms (1.1%)

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 (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)
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(.f64 2 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 1/2))
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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) -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 f (neg.f64 (PI.f64))) 4)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.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))

eval101.0ms (0.5%)

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

prune34.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	167	5	172
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	167	6	173

Error

1.5b

Counts

173 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	61.3b	(.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)))
▶	1.9b	(.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)))
▶	2.3b	(.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)))
▶	2.3b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
▶	2.1b	(.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)))
▶	61.3b	(.f64 (log.f64 (.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 -4 (PI.f64)))

Compiler

Compiled 343 to 269 computations (21.6% saved)

localize111.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(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)

series10.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	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 (.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	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 (.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))))))
1.0ms	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 (.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))))))

Time

Variable

Point

Expression

6.0ms

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))))))

1.0ms

(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))))))

rewrite94.0ms (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	164
1	235	164
2	492	152
3	1128	152
4	2574	152
5	6020	152

Stop Event

1×	node limit

Counts

4 → 64

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(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 (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 (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 1/2 (.f64 (pow.f64 (PI.f64) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 3))))) (#(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 2 (/.f64 (pow.f64 (PI.f64) 3) 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 1/8 (.f64 (pow.f64 (PI.f64) 3) 8))))) (#(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) 8) 1/8)))) (#(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 (pow.f64 (.f64 (PI.f64) 1/4) 3) 64)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 4) 3) 1/64)))) (#(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 2 (.f64 (pow.f64 (PI.f64) 3) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 4)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 4))) 16)))))
((#(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 (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 1/2 (.f64 (pow.f64 (PI.f64) 5) 2))))) (#(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) 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 32 (.f64 (pow.f64 (PI.f64) 5) 1/32))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (PI.f64) 5) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 2) 5) 1/32)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/32 (pow.f64 (.f64 (PI.f64) 2) 5))))) (#(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 (pow.f64 (.f64 (PI.f64) 1/4) 5) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 4) 5) 1/1024)))) (#(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 2 (.f64 (pow.f64 (PI.f64) 5) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 4)) (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 4))) 16)))))
((#(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) 1/192) 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 2 (.f64 (pow.f64 (PI.f64) 3) 1/48)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/48)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/48))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 (.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 (/.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 (.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) 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 (.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 (.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)))))

simplify138.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-53`
1300×	`rational.json-simplify-51`
1260×	`rational.json-simplify-41`
1072×	`rational.json-simplify-46`
972×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	314	5890
1	639	5178
2	1445	5032
3	3200	4976
4	7126	4964

Stop Event

1×	node limit

Counts

76 → 124

Calls

Call 1

Inputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(+.f64 (pow.f64 (PI.f64) 3) 0)
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(-.f64 (pow.f64 (PI.f64) 3) 0)
(*.f64 (pow.f64 (PI.f64) 3) 1)
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(*.f64 (/.f64 (pow.f64 (PI.f64) 3) 2) 2)
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(.f64 (pow.f64 (.f64 (PI.f64) 1/4) 3) 64)
(.f64 (pow.f64 (.f64 (PI.f64) 4) 3) 1/64)
(/.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 2 (.f64 (pow.f64 (PI.f64) 3) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 4)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 4))) 16)
(+.f64 (pow.f64 (PI.f64) 5) 0)
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(-.f64 (pow.f64 (PI.f64) 5) 0)
(*.f64 (pow.f64 (PI.f64) 5) 1)
(.f64 1/2 (.f64 (pow.f64 (PI.f64) 5) 2))
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(*.f64 2 (/.f64 (pow.f64 (PI.f64) 5) 2))
(.f64 (.f64 (pow.f64 (PI.f64) 5) 2) 1/2)
(.f64 32 (.f64 (pow.f64 (PI.f64) 5) 1/32))
(*.f64 (/.f64 (pow.f64 (PI.f64) 5) 2) 2)
(.f64 (pow.f64 (.f64 (PI.f64) 2) 5) 1/32)
(.f64 1/32 (pow.f64 (.f64 (PI.f64) 2) 5))
(.f64 (.f64 (pow.f64 (PI.f64) 5) 1/32) 32)
(.f64 (pow.f64 (.f64 (PI.f64) 1/4) 5) 1024)
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(/.f64 (pow.f64 (PI.f64) 5) 1)
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(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 4)) (.f64 2 (.f64 (pow.f64 (PI.f64) 5) 4))) 16)
(+.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) 1/192) 0)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
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(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/48)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/48)) (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/48))) 16)
(pow.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
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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 (.f64 1/192 (pow.f64 (.f64 (PI.f64) f) 3)) (.f64 1/61440 (pow.f64 (.f64 (PI.f64) f) 5)))))) 1)
(/.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)
(/.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)
(/.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)
(/.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)
(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)

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

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)))
✓	0.2b	(*.f64 (PI.f64) f)
✓	0.3b	(/.f64 4 (*.f64 (PI.f64) f))
✓	0.5b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 32 to 18 computations (43.8% saved)

series51.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	f	@	0	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
17.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
8.0ms	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	(/.f64 4 (*.f64 (PI.f64) f))

rewrite84.0ms (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 4 (*.f64 (PI.f64) f))
(*.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)))))))) 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((#(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 (.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 (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)))))

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

2168×	`rational.json-simplify-35`
1008×	`rational.json-simplify-39`
956×	`rational.json-simplify-43`
664×	`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	2118	3507
3	4380	3507
4	7174	3507

Stop Event

1×	node limit

Counts

149 → 131

Calls

Call 1

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

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

localize65.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 f (/.f64 (PI.f64) -4))
✓	0.3b	(/.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)))
✓	0.5b	(.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)))
✓	1.0b	(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)

series58.0ms (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))))
5.0ms	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)))
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)))

rewrite77.0ms (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	211
1	155	211
2	369	211
3	1087	211
4	3628	211

Stop Event

1×	node limit

Counts

3 → 92

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

Outputs

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simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2054×	`rational.json-simplify-35`
1448×	`rational.json-simplify-51`
1050×	`rational.json-simplify-43`
998×	`exponential.json-simplify-26`
896×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	291	9640
1	717	9372
2	2115	9186
3	4314	9092

Stop Event

1×	node limit

Counts

128 → 222

Calls

Call 1

Inputs
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Outputs
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(pow.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (/.f64 2 (.f64 (PI.f64) f))) 1)
(.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 1/4 (PI.f64))))) (/.f64 2 (.f64 f (PI.f64))))
(.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (/.f64 2 (.f64 f (PI.f64))))
(.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (*.f64 (PI.f64) 1/4)))) (/.f64 (/.f64 2 f) (PI.f64)))
(.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) (/.f64 (/.f64 2 f) (PI.f64)))
(neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (neg.f64 (.f64 (PI.f64) (.f64 f 1/2)))))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (/.f64 -1 (.f64 (PI.f64) (*.f64 f 1/2))))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (*.f64 (PI.f64) 1/4))))) (/.f64 (/.f64 -2 f) (PI.f64)))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (.f64 1/2 (.f64 f (PI.f64))))
(neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 f (.f64 1/2 (neg.f64 (PI.f64))))))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (/.f64 -1 (.f64 (PI.f64) (*.f64 f 1/2))))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (*.f64 (PI.f64) 1/4))))) (/.f64 (/.f64 -2 f) (PI.f64)))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (.f64 1/2 (.f64 f (PI.f64))))
(neg.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) (PI.f64)) (neg.f64 (*.f64 f 1/2))))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (.f64 1/4 (PI.f64)))))) (/.f64 -1 (.f64 (PI.f64) (*.f64 f 1/2))))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 f (*.f64 (PI.f64) 1/4))))) (/.f64 (/.f64 -2 f) (PI.f64)))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (.f64 1/2 (.f64 f (PI.f64))))

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (.f64 f 1/4))
✓	0.2b	(.f64 (PI.f64) (.f64 f -1/4))
✓	1.0b	(.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)))))
✓	5.4b	(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))

Compiler

Compiled 172 to 123 computations (28.5% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite137.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1978×	`rational.json-1`
1570×	`rational.json-simplify-35`
1082×	`rational.json-2`
1082×	`rational.json-4`
1082×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	170
1	140	164
2	297	164
3	606	164
4	1249	164
5	3707	164
6	7760	164

Stop Event

1×	node limit

Counts

4 → 147

Calls

Call 1

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

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

simplify193.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational.json-simplify-2`
958×	`rational.json-simplify-50`
828×	`rational.json-simplify-35`
774×	`rational.json-simplify-1`
626×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	390	12993
1	1085	12401
2	3809	12223
3	7321	12165

Stop Event

1×	node limit

Counts

195 → 197

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)))))
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(+.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))))))
(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(.f64 -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 (.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)))))) 1/2)
(/.f64 (.f64 (+.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)))) 1/2))
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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 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))) 4)) 1/4)
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(/.f64 (neg.f64 (.f64 2 (neg.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 (/.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)))) 4)) (/.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)))) 4))) 1/2)
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(/.f64 (+.f64 (/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 4)) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) (/.f64 (.f64 2 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 4)) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) 16)
(/.f64 (+.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 (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)))))) -2)
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(/.f64 (neg.f64 (/.f64 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) (-.f64 0 (/.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 (neg.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 4))) (-.f64 0 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 4))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.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)))) -2))
(/.f64 (neg.f64 (neg.f64 (.f64 2 (neg.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))
(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 -1/8)) (.f64 (PI.f64) (.f64 f -1/8)))
(-.f64 (.f64 (PI.f64) (.f64 f -1/4)) 0)
(/.f64 (.f64 (PI.f64) (.f64 f -1/4)) 1)
(/.f64 (.f64 (PI.f64) (.f64 f -1/2)) 2)
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) 4)
(/.f64 (.f64 2 (.f64 (PI.f64) (neg.f64 f))) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (PI.f64) (neg.f64 f)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (neg.f64 f)))) (.f64 2 (.f64 2 (.f64 (PI.f64) (neg.f64 f))))) 32)
(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 1/8)) (.f64 (PI.f64) (.f64 f 1/8)))
(-.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)
(/.f64 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(/.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 (.f64 f 4) (PI.f64)) 16)
(/.f64 (+.f64 (.f64 (.f64 f 4) (PI.f64)) (.f64 (.f64 f 4) (PI.f64))) 32)
(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)))))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4)) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/384))))
(+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
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(/.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 (neg.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 4))) (-.f64 0 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 4))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
(/.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 (neg.f64 (neg.f64 (neg.f64 (.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)))) -2))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
(/.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 (neg.f64 (neg.f64 (.f64 2 (neg.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 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
(/.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)))))
(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)
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
(/.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)))))
(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 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
(/.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 (.f64 (PI.f64) (.f64 f -1/4)) 0)
(.f64 (PI.f64) (.f64 -1/4 f))
(+.f64 0 (.f64 (PI.f64) (.f64 f -1/4)))
(.f64 (PI.f64) (.f64 -1/4 f))
(+.f64 (.f64 (PI.f64) (.f64 f -1/8)) (.f64 (PI.f64) (.f64 f -1/8)))
(.f64 (PI.f64) (.f64 -1/4 f))
(-.f64 (.f64 (PI.f64) (.f64 f -1/4)) 0)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (.f64 (PI.f64) (.f64 f -1/4)) 1)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (.f64 (PI.f64) (.f64 f -1/2)) 2)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (*.f64 (PI.f64) (neg.f64 f)) 4)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (.f64 2 (.f64 (PI.f64) (neg.f64 f))) 8)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (.f64 2 (.f64 2 (*.f64 (PI.f64) (neg.f64 f)))) 16)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (neg.f64 f)))) (.f64 2 (.f64 2 (.f64 (PI.f64) (neg.f64 f))))) 32)
(.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 1/8)) (.f64 (PI.f64) (.f64 f 1/8)))
(.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 f 1/2)) 2)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(/.f64 (*.f64 (PI.f64) f) 4)
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 (PI.f64) (/.f64 f 4))
(/.f64 (*.f64 (PI.f64) (+.f64 f f)) 8)
(*.f64 f (/.f64 (PI.f64) 4))
(*.f64 (PI.f64) (/.f64 f 4))
(/.f64 (.f64 (.f64 f 4) (PI.f64)) 16)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(/.f64 (+.f64 (.f64 (.f64 f 4) (PI.f64)) (.f64 (.f64 f 4) (PI.f64))) 32)
(.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))

localize87.0ms (0.4%)

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)))))

rewrite99.0ms (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)))))

simplify308.0ms (1.5%)

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

eval1.1s (5.4%)

Compiler: Compiled 29476 to 21725 computations (26.3% saved)

prune277.0ms (1.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	778	10	788
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	781	13	794

Error

1.2b

Counts

794 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	2.2b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
▶	2.3b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	2.3b	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
	61.3b	(.f64 (log.f64 (/.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)))) 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))))) (/.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)))
✓	61.3b	(.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)))
▶	1.9b	(.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (*.f64 f (PI.f64)) 5)))))) (/.f64 -4 (PI.f64)))
	62.1b	(.f64 (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
✓	2.3b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	61.3b	(.f64 (log.f64 (/.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 -4 (PI.f64)))
▶	2.1b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 2 (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
▶	2.3b	(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
✓	61.3b	(.f64 (log.f64 (.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 -4 (PI.f64)))
▶	16.1b	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))

Compiler

Compiled 609 to 473 computations (22.3% saved)

localize197.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 f (.f64 (PI.f64) 1/4))
✓	0.3b	(/.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)))))
✓	0.5b	(.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (*.f64 f (PI.f64)) 5)))))) (/.f64 -4 (PI.f64)))
✓	1.0b	(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))))))

Compiler

Compiled 237 to 153 computations (35.4% saved)

series10.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 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))))))
2.0ms	f	@	inf	(.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (*.f64 f (PI.f64)) 5)))))) (/.f64 -4 (PI.f64)))
2.0ms	f	@	-inf	(.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (*.f64 f (PI.f64)) 5)))))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (*.f64 f (PI.f64)) 5)))))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	-inf	(/.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)))))

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2108×	`rational.json-1`
2108×	`rational.json-2`
958×	`rational.json-simplify-35`
936×	`rational.json-3`
930×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	382
1	240	382
2	509	382
3	1178	382
4	2832	382
5	7136	382

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

simplify303.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1194×	`rational.json-simplify-2`
874×	`rational.json-simplify-35`
856×	`rational.json-simplify-41`
624×	`exponential.json-simplify-26`
610×	`rational.json-simplify-53`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	522	22449
1	1373	20805
2	3719	20509
3	5398	20403
4	7294	20361

Stop Event

1×	node limit

Counts

157 → 265

Calls

Call 1

Inputs
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(/.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 (+.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 (+.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 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (/.f64 1 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))
(.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 1 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440)))))
(.f64 (/.f64 (neg.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)
(/.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))
(/.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 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (.f64 (+.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 2 (/.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 2 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))))
(.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 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))) 1/2))
(.f64 2 (.f64 1/2 (/.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 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))))
(.f64 2 (.f64 1/2 (/.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))))
(.f64 (/.f64 1/2 (.f64 (+.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)) (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 4))
(.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (.f64 4 (/.f64 (/.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))) 2)))
(.f64 4 (.f64 (/.f64 1/4 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))) (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))))))
(.f64 4 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (/.f64 1/4 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))))
(.f64 4 (.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (/.f64 1/4 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))))
(.f64 (/.f64 -1 (+.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))))) (neg.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 f (.f64 (PI.f64) -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 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))
(/.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 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))
(.f64 (+.f64 (/.f64 1/2 (+.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 1/2 (+.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 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4)))))
(.f64 (+.f64 (exp.f64 (.f64 f (.f64 (PI.f64) -1/4))) (exp.f64 (.f64 f (.f64 (PI.f64) 1/4)))) (+.f64 (/.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))) (/.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))))
(.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) (+.f64 (/.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440)))) (/.f64 1/2 (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (+.f64 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (*.f64 f (PI.f64)) 5) 1/61440))))))
(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))))) 1)
(/.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))
(/.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 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))
(neg.f64 (/.f64 (neg.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 (+.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))
(/.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 (pow.f64 (.f64 f (PI.f64)) 5) 1/61440))))
(+.f64 (.f64 (PI.f64) (.f64 f 1/4)) 0)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(+.f64 0 (.f64 (PI.f64) (.f64 f 1/4)))
(.f64 f (.f64 (PI.f64) 1/4))
(.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 (.f64 (PI.f64) (.f64 f 1/4)) 1)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(/.f64 (.f64 (PI.f64) (.f64 f 1/2)) 2)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(/.f64 (*.f64 (PI.f64) f) 4)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(/.f64 (*.f64 (PI.f64) (+.f64 f f)) 8)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(/.f64 (.f64 (PI.f64) (.f64 f 4)) 16)
(.f64 f (.f64 (PI.f64) 1/4))
(.f64 (PI.f64) (.f64 f 1/4))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 f 4))) 32)
(.f64 f (.f64 (PI.f64) 1/4))
(.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 (PI.f64) (.f64 f 1/4))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite91.0ms (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))))))))

simplify90.0ms (0.4%)

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))))

localize25.0ms (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))))
✓	0.3b	(+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))
✓	0.4b	(/.f64 (/.f64 -4 (PI.f64)) f)
✓	0.5b	(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))

Compiler

Compiled 54 to 41 computations (24.1% saved)

series37.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	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))))

rewrite94.0ms (0.5%)

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	2394	94
5	6023	94

Stop Event

1×	node limit

Counts

4 → 108

Calls

Call 1

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

simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1046×	`rational.json-simplify-41`
980×	`rational.json-simplify-35`
812×	`rational.json-simplify-46`
798×	`rational.json-simplify-43`
580×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	217	3738
1	483	3642
2	1497	3642
3	4254	3642
4	6481	3642

Stop Event

1×	node limit

Counts

156 → 147

Calls

Call 1

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 4 f) (PI.f64))
✓	5.0b	(pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64)))
✓	13.5b	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))

Compiler

Compiled 35 to 24 computations (31.4% saved)

series89.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
57.0ms	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))))
15.0ms	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)))

rewrite153.0ms (0.7%)

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	77
1	94	77
2	253	77
3	721	77
4	2345	77
5	5851	77

Stop Event

1×	node limit

Counts

3 → 92

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)))
(/.f64 (/.f64 4 f) (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)))))

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

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1620×	`rational.json-simplify-35`
986×	`rational.json-simplify-2`
838×	`rational.json-simplify-1`
764×	`rational.json-simplify-51`
692×	`rational.json-simplify-61`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	210	3772
1	421	3756
2	953	3756
3	2667	3756
4	6397	3728

Stop Event

1×	node limit

Counts

128 → 132

Calls

Call 1

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

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 2 (*.f64 (PI.f64) f))
✓	0.5b	(.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

4 → 36

Calls

9 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 2 (*.f64 (PI.f64) f))
0.0ms	f	@	0	(.f64 f (.f64 (PI.f64) 1/12))

rewrite84.0ms (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	98
1	128	98
2	289	98
3	707	98
4	1978	98
5	5101	98

Stop Event

1×	node limit

Counts

4 → 86

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

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 #<rule egg-rr> (2) ((x 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simplify128.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1408×	`rational.json-simplify-2`
1098×	`rational.json-simplify-51`
1004×	`rational.json-simplify-35`
846×	`rational.json-simplify-41`
818×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	255	4796
1	607	4574
2	1442	4574
3	4660	4574
4	7285	4574

Stop Event

1×	node limit

Counts

122 → 138

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)))
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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 2 (.f64 (PI.f64) 1/3)) (.f64 2 (.f64 (PI.f64) 1/3))) 16)
(pow.f64 (*.f64 (PI.f64) 1/12) 1)
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(/.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))))))))
(/.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 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (/.f64 (neg.f64 (PI.f64)) 4))
(/.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) 2)) 8))
(/.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 (pow.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))) 1)
(/.f64 1 (/.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 -8 (/.f64 (.f64 (PI.f64) 2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (*.f64 (PI.f64) f)))))))
(/.f64 -8 (+.f64 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))))))
(/.f64 4 (+.f64 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))))))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) (/.f64 (PI.f64) -8)) 2)
(/.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))))))))
(/.f64 (.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))) 4)
(/.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)))
(/.f64 (.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f))))) 4) (.f64 4 (*.f64 (PI.f64) -1/4)))
(/.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)))) 8)
(/.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))
(/.f64 (neg.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (neg.f64 (*.f64 (PI.f64) -1/4)))
(/.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 (+.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))
(/.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 (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))
(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))))
(+.f64 (/.f64 2 (*.f64 (PI.f64) f)) 0)
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(+.f64 (/.f64 1 (.f64 (PI.f64) f)) (/.f64 1 (.f64 (PI.f64) f)))
(-.f64 (/.f64 2 (*.f64 (PI.f64) f)) 0)
(-.f64 0 (/.f64 (/.f64 -2 (PI.f64)) f))
(.f64 2 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 (/.f64 2 (.f64 (PI.f64) f)) 1)
(.f64 (.f64 4 (/.f64 1 (*.f64 (PI.f64) f))) 1/2)
(.f64 1 (/.f64 2 (.f64 (PI.f64) f)))
(.f64 4 (/.f64 (/.f64 2 (.f64 (PI.f64) f)) 4))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/2 f))
(.f64 (.f64 (/.f64 2 (*.f64 (PI.f64) f)) 4) 1/4)
(*.f64 (/.f64 2 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 -2 (PI.f64)) (/.f64 -1 f))
(*.f64 -1 (/.f64 (/.f64 -2 (PI.f64)) f))
(*.f64 (/.f64 1 f) (/.f64 2 (PI.f64)))
(.f64 1/2 (.f64 4 (/.f64 1 (*.f64 (PI.f64) f))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 2 f))
(*.f64 (/.f64 (/.f64 -2 (PI.f64)) f) -1)
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 2)
(.f64 1/4 (.f64 (/.f64 2 (*.f64 (PI.f64) f)) 4))
(*.f64 (/.f64 1/2 f) (/.f64 4 (PI.f64)))
(.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) f)) 4) 4)
(*.f64 (/.f64 -1 f) (/.f64 -2 (PI.f64)))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) f)) 1)
(neg.f64 (/.f64 (/.f64 -2 (PI.f64)) f))
(neg.f64 (/.f64 -2 (*.f64 (PI.f64) f)))
(neg.f64 (/.f64 (/.f64 -2 f) (PI.f64)))

Outputs
(.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 -4 (/.f64 (+.f64 (neg.f64 (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))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/12 (.f64 (PI.f64) (pow.f64 f 2))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))
(+.f64 (.f64 1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 -1/12 (.f64 (PI.f64) (pow.f64 f 2))) (.f64 1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
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(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (pow.f64 f 4) (.f64 1/1152 (pow.f64 (PI.f64) 3))) (+.f64 (.f64 (PI.f64) (.f64 -1/12 (pow.f64 f 2))) (.f64 -1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
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(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64))) (*.f64 192 (/.f64 (/.f64 1 (pow.f64 f 2)) (pow.f64 (PI.f64) 3))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
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(-.f64 (+.f64 (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (+.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 -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 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) -1/12)) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) -1/12)) (neg.f64 (log.f64 (/.f64 -1 f)))) (PI.f64))) (*.f64 192 (/.f64 (/.f64 1 (pow.f64 f 2)) (pow.f64 (PI.f64) 3))))
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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 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 f (PI.f64))))))))
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(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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))))) (PI.f64)) -1/4)
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 f (PI.f64))))))))
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(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (.f64 4 (/.f64 1 (.f64 (PI.f64) f)))))) (neg.f64 (*.f64 (PI.f64) -1/4)))
(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 f (PI.f64))))))))
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(/.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (*.f64 f (PI.f64))))))))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 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 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 1/12 (.f64 f (PI.f64))) (.f64 4 (/.f64 1 (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64))))
(+.f64 (/.f64 2 (*.f64 (PI.f64) f)) 0)
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(+.f64 0 (/.f64 2 (*.f64 (PI.f64) f)))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(+.f64 (/.f64 1 (.f64 (PI.f64) f)) (/.f64 1 (.f64 (PI.f64) f)))
(+.f64 (/.f64 1 (.f64 f (PI.f64))) (/.f64 1 (.f64 f (PI.f64))))
(-.f64 (/.f64 2 (*.f64 (PI.f64) f)) 0)
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(-.f64 0 (/.f64 (/.f64 -2 (PI.f64)) f))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(.f64 2 (/.f64 1 (.f64 (PI.f64) f)))
(.f64 2 (/.f64 1 (.f64 f (PI.f64))))
(.f64 (/.f64 2 (.f64 (PI.f64) f)) 1)
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(.f64 (.f64 4 (/.f64 1 (*.f64 (PI.f64) f))) 1/2)
(.f64 2 (/.f64 1 (.f64 f (PI.f64))))
(.f64 1 (/.f64 2 (.f64 (PI.f64) f)))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(.f64 4 (/.f64 (/.f64 2 (.f64 (PI.f64) f)) 4))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(*.f64 (/.f64 2 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 1 f) (/.f64 2 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/2 f))
(.f64 (.f64 (/.f64 2 (*.f64 (PI.f64) f)) 4) 1/4)
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(*.f64 (/.f64 2 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 -2 (PI.f64)) (/.f64 -1 f))
(*.f64 (/.f64 -1 f) (/.f64 -2 (PI.f64)))
(*.f64 -1 (/.f64 (/.f64 -2 (PI.f64)) f))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(*.f64 (/.f64 1 f) (/.f64 2 (PI.f64)))
(.f64 1/2 (.f64 4 (/.f64 1 (*.f64 (PI.f64) f))))
(.f64 2 (/.f64 1 (.f64 f (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 2 f))
(*.f64 (/.f64 2 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 -2 (PI.f64)) f) -1)
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(.f64 (/.f64 1 (.f64 (PI.f64) f)) 2)
(.f64 2 (/.f64 1 (.f64 f (PI.f64))))
(.f64 1/4 (.f64 (/.f64 2 (*.f64 (PI.f64) f)) 4))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(*.f64 (/.f64 1/2 f) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 4 (PI.f64)) (/.f64 1/2 f))
(.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) f)) 4) 4)
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(*.f64 (/.f64 -1 f) (/.f64 -2 (PI.f64)))
(pow.f64 (/.f64 2 (*.f64 (PI.f64) f)) 1)
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(neg.f64 (/.f64 (/.f64 -2 (PI.f64)) f))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(neg.f64 (/.f64 -2 (*.f64 (PI.f64) f)))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)
(neg.f64 (/.f64 (/.f64 -2 f) (PI.f64)))
(/.f64 2 (*.f64 f (PI.f64)))
(/.f64 (/.f64 2 (PI.f64)) f)

eval521.0ms (2.5%)

Compiler: Compiled 27519 to 20013 computations (27.3% saved)

prune226.0ms (1.1%)

Pruning

21 alts after pruning (14 fresh and 7 done)

	Pruned	Kept	Total
New	808	10	818
Fresh	1	4	5
Picked	1	0	1
Done	0	7	7
Total	810	21	831

Error

1.1b

Counts

831 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.2b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
	62.1b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (*.f64 (PI.f64) f))))))))
✓	2.3b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	2.4b	(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
▶	2.0b	(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (PI.f64) (.f64 -1/12 (pow.f64 f 2))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))
▶	2.3b	(.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	2.3b	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
	61.3b	(.f64 (log.f64 (/.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)))) 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))))) (/.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)))
✓	61.3b	(.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)))
✓	1.9b	(.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (*.f64 f (PI.f64)) 5)))))) (/.f64 -4 (PI.f64)))
✓	2.3b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	61.3b	(.f64 (log.f64 (/.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 -4 (PI.f64)))
	2.3b	(.f64 (log.f64 (-.f64 1 (+.f64 1 (/.f64 -4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
▶	2.1b	(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 (/.f64 1 f) (PI.f64))) (.f64 f (.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
✓	2.3b	(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	2.3b	(.f64 (log.f64 (+.f64 -1 (-.f64 1 (-.f64 (+.f64 1 (/.f64 -4 (.f64 (PI.f64) f))) 1)))) (/.f64 -4 (PI.f64)))
✓	61.3b	(.f64 (log.f64 (.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 -4 (PI.f64)))
▶	2.3b	(.f64 2 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -2 (PI.f64)))))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
✓	16.1b	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
	15.7b	(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))))) (/.f64 -4 (PI.f64))))

Compiler

Compiled 855 to 678 computations (20.7% saved)

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
✓	0.3b	(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
	1.0b	(pow.f64 (PI.f64) 3)
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 133 to 91 computations (31.6% saved)

series37.0ms (0.2%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	f	@	0	(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
10.0ms	f	@	-inf	(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
9.0ms	f	@	inf	(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
0.0ms	f	@	-inf	(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
0.0ms	f	@	0	(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`rational.json-1`
1826×	`rational.json-2`
1826×	`rational.json-3`
1816×	`rational.json-4`
1806×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	75
1	91	75
2	218	75
3	529	75
4	1308	75
5	5024	75

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1864×	`rational.json-simplify-35`
1094×	`rational.json-simplify-2`
956×	`rational.json-simplify-53`
912×	`rational.json-simplify-1`
566×	`rational.json-simplify-39`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	207	4268
1	463	4122
2	1540	4024
3	3219	4024
4	6861	3992

Stop Event

1×	node limit

Counts

122 → 131

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1362×	`rational.json-1`
1362×	`rational.json-2`
1362×	`rational.json-3`
1344×	`rational.json-4`
1330×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	78	27
2	207	27
3	594	27
4	1942	27
5	4747	27

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify151.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1046×	`rational.json-simplify-2`
1034×	`rational.json-simplify-53`
960×	`rational.json-simplify-41`
730×	`rational.json-simplify-44`
702×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1389
1	170	1381
2	306	1381
3	543	1381
4	1140	1381
5	4439	1381
6	5699	1381
7	7726	1381

Stop Event

1×	node limit

Counts

47 → 41

Calls

Call 1

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

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

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 35 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1470×	`rational.json-1`
1470×	`rational.json-2`
1470×	`rational.json-3`
1462×	`exponential.json-3`
1462×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	124	58
2	298	58
3	833	58
4	3762	58

Stop Event

1×	node limit

Counts

2 → 181

Calls

Call 1

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

Outputs

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

simplify146.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1588×	`rational.json-simplify-35`
946×	`rational.json-simplify-50`
876×	`rational.json-simplify-44`
808×	`rational.json-simplify-51`
796×	`rational.json-simplify-46`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	413	7765
1	1557	7681
2	5921	7681

Stop Event

1×	node limit

Counts

205 → 212

Calls

Call 1

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -2 (PI.f64))))
	0.2b	(*.f64 (PI.f64) f)
	0.3b	(/.f64 4 (*.f64 (PI.f64) f))
✓	6.1b	(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -2 (PI.f64)))

Compiler

Compiled 48 to 29 computations (39.6% saved)

series51.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	f	@	-inf	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -2 (PI.f64))))
16.0ms	f	@	inf	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -2 (PI.f64))))
16.0ms	f	@	0	(log.f64 (pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -2 (PI.f64))))
1.0ms	f	@	0	(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -2 (PI.f64)))
0.0ms	f	@	-inf	(pow.f64 (/.f64 4 (*.f64 (PI.f64) f)) (/.f64 -2 (PI.f64)))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1700×	`rational.json-1`
1700×	`rational.json-2`
1700×	`rational.json-3`
1696×	`rational.json-4`
1690×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	62
1	91	62
2	227	62
3	607	62
4	1827	62
5	5114	62

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify122.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational.json-simplify-2`
1128×	`rational.json-simplify-35`
1006×	`rational.json-simplify-53`
778×	`rational.json-simplify-1`
702×	`exponential.json-simplify-31`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	2713
1	344	2697
2	765	2695
3	2024	2695
4	4702	2691
5	6446	2691

Stop Event

1×	node limit

Counts

75 → 76

Calls

Call 1

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

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

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 1 f) (PI.f64))
✓	0.5b	(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 (/.f64 1 f) (PI.f64))) (.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 78 to 55 computations (29.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1784×	`rational.json-1`
1784×	`rational.json-2`
1784×	`rational.json-3`
1778×	`rational.json-4`
1408×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	74
1	143	74
2	326	74
3	839	74
4	2576	68
5	6528	68

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify118.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1192×	`rational.json-simplify-2`
1018×	`rational.json-simplify-35`
876×	`rational.json-simplify-51`
752×	`rational.json-simplify-41`
724×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	3989
1	569	3965
2	1346	3953
3	4041	3953
4	6442	3953

Stop Event

1×	node limit

Counts

101 → 137

Calls

Call 1

Inputs
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64))))
(+.f64 (.f64 1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))))
(+.f64 (.f64 1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.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))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5)))) (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))) (+.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))))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64)))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
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(/.f64 1 (*.f64 f (PI.f64)))
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(/.f64 1 (*.f64 f (PI.f64)))
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(/.f64 1 (*.f64 f (PI.f64)))
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(-.f64 (log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))) (/.f64 -4 (PI.f64)))) 0)
(/.f64 4 (+.f64 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))))) (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))))))
(/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (*.f64 (PI.f64) 1/12))))))
(/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))) (*.f64 (PI.f64) -1/4))
(/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))) (/.f64 (neg.f64 (PI.f64)) 4))
(/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))) (/.f64 (neg.f64 (*.f64 (PI.f64) 2)) 8))
(/.f64 -4 (/.f64 (PI.f64) (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))))))
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(/.f64 -16 (+.f64 (/.f64 (.f64 (PI.f64) 2) (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))))) (/.f64 (.f64 (PI.f64) 2) (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))))))
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(/.f64 (.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))) 2) (.f64 (PI.f64) -1/2))
(/.f64 (.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (*.f64 (PI.f64) 1/12)))) 2) (+.f64 (/.f64 (neg.f64 (PI.f64)) 4) (/.f64 (neg.f64 (PI.f64)) 4)))
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(/.f64 (.f64 4 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))))) (.f64 2 (*.f64 (PI.f64) -1/2)))
(/.f64 (.f64 4 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))))) (.f64 4 (*.f64 (PI.f64) -1/4)))
(/.f64 (.f64 2 (.f64 4 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))))) (+.f64 (.f64 4 (.f64 (PI.f64) -1/4)) (.f64 4 (.f64 (PI.f64) -1/4))))
(/.f64 (.f64 2 (.f64 4 (log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))) (/.f64 -4 (PI.f64)))))) 8)
(/.f64 (/.f64 (.f64 4 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))))) (.f64 (PI.f64) -1/4)) 4)
(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))) (PI.f64)) -1/4)
(/.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))))) (neg.f64 (*.f64 (PI.f64) -1/4)))
(/.f64 (+.f64 (.f64 2 (.f64 4 (log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))) (/.f64 -4 (PI.f64)))))) (.f64 2 (.f64 4 (log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))) (/.f64 -4 (PI.f64))))))) 16)
(/.f64 (+.f64 (/.f64 (.f64 4 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))))) (.f64 (PI.f64) -1/4)) (/.f64 (.f64 4 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))))) (.f64 (PI.f64) -1/4))) 8)
(/.f64 (+.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))) (PI.f64)) (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))) (PI.f64))) -1/2)
(/.f64 (+.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))))) (neg.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))))) (+.f64 (neg.f64 (.f64 (PI.f64) -1/4)) (neg.f64 (.f64 (PI.f64) -1/4))))
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(/.f64 (neg.f64 (neg.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))))) (*.f64 (PI.f64) -1/4))
(pow.f64 (log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))) (/.f64 -4 (PI.f64)))) 1)
(log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))) (/.f64 -4 (PI.f64))))
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(-.f64 (/.f64 (/.f64 1 (PI.f64)) f) 0)
(*.f64 1 (/.f64 (/.f64 1 (PI.f64)) f))
(.f64 f (/.f64 4 (.f64 4 (.f64 (PI.f64) (.f64 f f)))))
(*.f64 (/.f64 1 f) (/.f64 1 (PI.f64)))
(*.f64 (/.f64 (/.f64 1 (PI.f64)) f) 1)
(*.f64 (/.f64 2 f) (/.f64 1/2 (PI.f64)))
(.f64 (/.f64 2 f) (.f64 (/.f64 1 (PI.f64)) 1/2))
(.f64 2 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 2)))
(.f64 2 (/.f64 f (.f64 (PI.f64) (*.f64 f (+.f64 f f)))))
(*.f64 2 (/.f64 (/.f64 (/.f64 1 (PI.f64)) f) 2))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 1 f)))
(.f64 (+.f64 f f) (/.f64 2 (.f64 4 (.f64 (PI.f64) (.f64 f f)))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 1 f))
(*.f64 (/.f64 (/.f64 2 f) (PI.f64)) 1/2)
(.f64 (.f64 4 (/.f64 1 f)) (/.f64 1 (*.f64 4 (PI.f64))))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 1 (+.f64 f f)))
(*.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64)))
(*.f64 -1 (/.f64 (/.f64 -1 f) (PI.f64)))
(*.f64 -1 (/.f64 (/.f64 -1 (PI.f64)) f))
(*.f64 (/.f64 -1 f) (/.f64 -1 (PI.f64)))
(*.f64 (/.f64 -1 (PI.f64)) (/.f64 -1 f))
(*.f64 (/.f64 f (PI.f64)) (/.f64 (/.f64 1 f) f))
(*.f64 (/.f64 (/.f64 1 f) f) (/.f64 f (PI.f64)))
(.f64 (/.f64 (/.f64 2 f) f) (/.f64 f (.f64 (PI.f64) 2)))
(*.f64 (/.f64 1/2 (PI.f64)) (/.f64 2 f))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (/.f64 2 f))
(*.f64 (/.f64 1 (+.f64 f f)) (/.f64 2 (PI.f64)))
(*.f64 (/.f64 (/.f64 -1 f) (PI.f64)) -1)
(*.f64 (/.f64 (/.f64 -1 (PI.f64)) f) -1)
(.f64 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 2)) 2)
(.f64 (/.f64 f (.f64 (PI.f64) 2)) (/.f64 (/.f64 2 f) f))
(.f64 (/.f64 2 (.f64 4 (.f64 (PI.f64) (.f64 f f)))) (+.f64 f f))
(.f64 (/.f64 f (.f64 (PI.f64) (*.f64 f (+.f64 f f)))) 2)
(.f64 (/.f64 4 (.f64 4 (.f64 (PI.f64) (.f64 f f)))) f)
(*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) f) 2) 2)
(.f64 (/.f64 1 (.f64 4 (PI.f64))) (*.f64 4 (/.f64 1 f)))
(pow.f64 (/.f64 (/.f64 1 (PI.f64)) f) 1)
(neg.f64 (/.f64 (/.f64 -1 f) (PI.f64)))
(neg.f64 (/.f64 (/.f64 -1 (PI.f64)) f))

Outputs
(.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (neg.f64 (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))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/12 (.f64 (PI.f64) (pow.f64 f 2))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 (PI.f64) (*.f64 -1/12 (pow.f64 f 2))))
(+.f64 (.f64 1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -4 (/.f64 (+.f64 (.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))))
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(+.f64 (.f64 1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 -1/82944 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))) (+.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 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (PI.f64) (.f64 -1/12 (pow.f64 f 2))) (+.f64 (.f64 1/1152 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3))) (.f64 -1/82944 (*.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 5))))))
(.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 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64))) (.f64 192 (/.f64 1 (.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
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(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 f (.f64 (PI.f64) 1/12)))))
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(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 f (.f64 (PI.f64) 1/12)))))
(log.f64 (pow.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12))) (/.f64 -4 (PI.f64))))
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(.f64 (/.f64 2 f) (.f64 (/.f64 1 (PI.f64)) 1/2))
(.f64 (/.f64 1 (PI.f64)) (.f64 1/2 (/.f64 2 f)))
(.f64 (/.f64 1 (PI.f64)) (.f64 (/.f64 2 f) 1/2))
(.f64 2 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 2)))
(/.f64 1 (*.f64 f (PI.f64)))
(.f64 2 (/.f64 f (.f64 (PI.f64) (*.f64 f (+.f64 f f)))))
(/.f64 1 (*.f64 f (PI.f64)))
(*.f64 2 (/.f64 (/.f64 (/.f64 1 (PI.f64)) f) 2))
(/.f64 1 (*.f64 f (PI.f64)))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (/.f64 1 f)))
(.f64 2 (.f64 (/.f64 1 f) (/.f64 1/2 (PI.f64))))
(.f64 (+.f64 f f) (/.f64 2 (.f64 4 (.f64 (PI.f64) (.f64 f f)))))
(.f64 (+.f64 f f) (/.f64 1/2 (.f64 f (*.f64 f (PI.f64)))))
(.f64 (+.f64 f f) (/.f64 1/2 (.f64 (PI.f64) (*.f64 f f))))
(.f64 (+.f64 f f) (/.f64 (/.f64 1/2 (PI.f64)) (.f64 f f)))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 1 f))
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(*.f64 (/.f64 (/.f64 2 f) (PI.f64)) 1/2)
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(*.f64 1/2 (/.f64 (/.f64 2 f) (PI.f64)))
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(*.f64 -1 (/.f64 (/.f64 -1 (PI.f64)) f))
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(.f64 (/.f64 1 (PI.f64)) (.f64 (/.f64 2 f) 1/2))
(*.f64 (/.f64 1 (+.f64 f f)) (/.f64 2 (PI.f64)))
(*.f64 (/.f64 2 (PI.f64)) (/.f64 1 (+.f64 f f)))
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(*.f64 (/.f64 (/.f64 -1 f) (PI.f64)) -1)
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(*.f64 (/.f64 (/.f64 -1 (PI.f64)) f) -1)
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(.f64 (/.f64 (/.f64 1 f) (.f64 (PI.f64) 2)) 2)
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(.f64 (/.f64 f (.f64 (PI.f64) 2)) (/.f64 (/.f64 2 f) f))
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(.f64 (/.f64 2 (.f64 4 (.f64 (PI.f64) (.f64 f f)))) (+.f64 f f))
(.f64 (+.f64 f f) (/.f64 1/2 (.f64 f (*.f64 f (PI.f64)))))
(.f64 (+.f64 f f) (/.f64 1/2 (.f64 (PI.f64) (*.f64 f f))))
(.f64 (+.f64 f f) (/.f64 (/.f64 1/2 (PI.f64)) (.f64 f f)))
(.f64 (/.f64 f (.f64 (PI.f64) (*.f64 f (+.f64 f f)))) 2)
(/.f64 1 (*.f64 f (PI.f64)))
(.f64 (/.f64 4 (.f64 4 (.f64 (PI.f64) (.f64 f f)))) f)
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(.f64 f (/.f64 1 (.f64 (PI.f64) (*.f64 f f))))
(*.f64 (/.f64 (/.f64 (/.f64 1 (PI.f64)) f) 2) 2)
(/.f64 1 (*.f64 f (PI.f64)))
(.f64 (/.f64 1 (.f64 4 (PI.f64))) (*.f64 4 (/.f64 1 f)))
(.f64 4 (.f64 (/.f64 1 f) (/.f64 1/4 (PI.f64))))
(.f64 (.f64 4 (/.f64 1 f)) (/.f64 1/4 (PI.f64)))
(pow.f64 (/.f64 (/.f64 1 (PI.f64)) f) 1)
(/.f64 1 (*.f64 f (PI.f64)))
(neg.f64 (/.f64 (/.f64 -1 f) (PI.f64)))
(/.f64 1 (*.f64 f (PI.f64)))
(neg.f64 (/.f64 (/.f64 -1 (PI.f64)) f))
(/.f64 1 (*.f64 f (PI.f64)))

eval348.0ms (1.7%)

Compiler: Compiled 18760 to 13511 computations (28% saved)

prune180.0ms (0.9%)

Pruning

35 alts after pruning (24 fresh and 11 done)

	Pruned	Kept	Total
New	818	17	835
Fresh	2	7	9
Picked	0	1	1
Done	1	10	11
Total	821	35	856

Error

1.0b

Counts

856 → 35

Alt Table

Click to see full alt table

Status	Error	Program
	2.4b	(/.f64 (/.f64 (/.f64 -4 (PI.f64)) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))
	2.2b	(/.f64 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) -1/4)
	2.3b	(/.f64 (/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) -1/4)) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))
	2.3b	(/.f64 (/.f64 (.f64 (PI.f64) -1/4) (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (.f64 (PI.f64) -1/4) (*.f64 (PI.f64) -1/4)))
✓	2.2b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
	1.9b	(/.f64 (/.f64 (log.f64 (+.f64 (/.f64 (/.f64 4 (PI.f64)) f) (.f64 f (.f64 (PI.f64) 1/12)))) (PI.f64)) -1/4)
	2.4b	(/.f64 (/.f64 1 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 2 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))) (*.f64 (/.f64 -4 (PI.f64)) 2)))
	2.3b	(/.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	2.2b	(/.f64 (+.f64 -1 (-.f64 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (neg.f64 (PI.f64))))) -1/4)
	2.3b	(/.f64 (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (.f64 (PI.f64) -1/4)))
	2.3b	(/.f64 (.f64 (PI.f64) -1/2) (.f64 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) 2) (.f64 (.f64 (PI.f64) -1/4) (*.f64 (PI.f64) -1/4))))
	62.1b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (+.f64 -1 (-.f64 1 (neg.f64 (*.f64 (PI.f64) f))))))))
✓	2.3b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
	2.4b	(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
	2.0b	(+.f64 (.f64 -4 (/.f64 (-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 1 (log.f64 f))) 1) (PI.f64))) (+.f64 (.f64 (PI.f64) (.f64 -1/12 (pow.f64 f 2))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))
	2.0b	(+.f64 (.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (+.f64 (.f64 (PI.f64) (.f64 -1/12 (pow.f64 f 2))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 f 4) 1/1152))))
	2.2b	(+.f64 (.f64 -4 (.f64 2 (/.f64 (/.f64 -1/2 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))) (+.f64 (.f64 (PI.f64) (.f64 -1/12 (pow.f64 f 2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 f 4) 1/1152))))
✓	2.3b	(.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (/.f64 1 (.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))) (/.f64 -4 (PI.f64)))
	61.3b	(.f64 (log.f64 (/.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)))) 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))))) (/.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)))
✓	61.3b	(.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)))
✓	1.9b	(.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 (.f64 1/192 (pow.f64 (.f64 f (PI.f64)) 3)) (.f64 1/61440 (pow.f64 (*.f64 f (PI.f64)) 5)))))) (/.f64 -4 (PI.f64)))
✓	2.3b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
	2.4b	(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (/.f64 (/.f64 2 (log.f64 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (/.f64 4 (*.f64 f (PI.f64)))))))
	61.3b	(.f64 (log.f64 (/.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 -4 (PI.f64)))
	2.3b	(.f64 (log.f64 (-.f64 1 (+.f64 1 (/.f64 -4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
✓	2.1b	(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 (/.f64 1 f) (PI.f64))) (.f64 f (.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
	34.3b	(.f64 (log.f64 (+.f64 (.f64 4 (.f64 (/.f64 (/.f64 1 f) f) (/.f64 f (PI.f64)))) (.f64 f (*.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
✓	2.3b	(*.f64 (log.f64 (+.f64 -1 (-.f64 1 (/.f64 (/.f64 -4 (PI.f64)) f)))) (/.f64 -4 (PI.f64)))
	2.3b	(.f64 (log.f64 (+.f64 -1 (-.f64 1 (-.f64 (+.f64 1 (/.f64 -4 (.f64 (PI.f64) f))) 1)))) (/.f64 -4 (PI.f64)))
✓	61.3b	(.f64 (log.f64 (.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 -4 (PI.f64)))
✓	2.3b	(.f64 2 (log.f64 (pow.f64 (/.f64 4 (.f64 (PI.f64) f)) (/.f64 -2 (PI.f64)))))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/12)) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
✓	16.1b	(log.f64 (pow.f64 (/.f64 (/.f64 4 f) (PI.f64)) (/.f64 -4 (PI.f64))))
	15.7b	(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))))) (/.f64 -4 (PI.f64))))

Compiler

Compiled 896 to 690 computations (23% saved)

regimes108.0ms (0.5%)

Counts

44 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

37.0ms	f
22.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
8.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
7.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms	(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
1.9b	1	`f`
1.9b	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
1.9b	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
1.9b	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
1.9b	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
1.9b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1238 to 880 computations (28.9% saved)

regimes78.0ms (0.4%)

Counts

37 → 1

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	f
17.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
8.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
6.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
5.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Error	Segments	Branch
1.9b	1	`f`
1.9b	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
1.9b	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
1.9b	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
1.9b	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
1.9b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 885 to 635 computations (28.2% saved)

regimes16.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
2.2b	1	`f`

Compiler

Compiled 236 to 168 computations (28.8% saved)

regimes5.0ms (0%)

Accuracy

Total -0.1b remaining (-5.9%)

Threshold costs -0.1b (-5.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(.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)))))

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
2.3b	1	`f`

Compiler

Compiled 23 to 16 computations (30.4% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	252

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 80 to 61 computations (23.8% saved)

soundness393.0ms (1.9%)

Algorithm

3×	egg-herbie

Rules

1576×	`rational.json-simplify-35`
1516×	`rational.json-simplify-51`
1446×	`rational.json-simplify-53`
1300×	`rational.json-simplify-51`
1260×	`rational.json-simplify-41`

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
0	314	5890
1	639	5178
2	1445	5032
3	3200	4976
4	7126	4964

Stop Event

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

Compiler

Compiled 1062 to 791 computations (25.5% saved)

end47.0ms (0.2%)

Compiler: Compiled 77 to 54 computations (29.9% saved)