Details

analyze325.0ms (1.7%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample10.8s (55.5%)

Results

3.3s	4050×	body	1024	valid
3.2s	3899×	body	1024	invalid
1.3s	2005×	body	512	invalid
1.2s	1997×	body	512	valid
782.0ms	485×	body	2048	valid
487.0ms	1724×	body	256	valid
426.0ms	1010×	body	256	invalid
7.0ms	6×	body	256	unsamplable
1.0ms	1×	body	2048	invalid

Bogosity

preprocess93.0ms (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)

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs

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

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

eval3.0ms (0%)

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

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

61.9b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	61.9b	(.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

▶

61.9b

(*.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)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	0.3b	(*.f64 f (/.f64 (PI.f64) -4))
✓	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)))))
✓	5.7b	(-.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)))))

rewrite98.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1938×	`bool.json-1`
1938×	`bool.json-2`
1414×	`bool.json-3`
926×	`rational.json-simplify-35`
812×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	164
1	174	164
2	492	164
3	1139	164
4	2738	164
5	6403	164

Stop Event

1×	node limit

Counts

4 → 75

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
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (neg.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.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 (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 -1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.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 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.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)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.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 2 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 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 1/2 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2))))) (#(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)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (-.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)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (/.f64 1 (-.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 2 (.f64 2 (/.f64 1 (-.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 2 (/.f64 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 4 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 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)))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f 1/4)))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.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 not (not (-.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 and (-.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 or (-.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 (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 -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)))))))))) (#(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 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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 not (not (.f64 (PI.f64) (.f64 f 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (PI.f64) (.f64 f 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (PI.f64) (*.f64 f 1/4)))))))

simplify157.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1466×	`rational.json-simplify-2`
1126×	`rational.json-simplify-51`
1040×	`rational.json-simplify-39`
820×	`rational.json-simplify-49`
774×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	6667
1	499	6227
2	1299	6081
3	3677	6063
4	6320	6063

Stop Event

1×	node limit

Counts

123 → 120

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 1 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))
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(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f 1/4)))) 2) -2)
(/.f64 (.f64 (.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2) 4) 8)
(/.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))))))
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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 (+.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 (/.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 (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))))))
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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)))) (.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 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 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))) 2)) 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 (/.f64 1/2 (-.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))))) (+.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 (/.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 1/2 (/.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 (.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 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 (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 2) (.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))
(.f64 (+.f64 (/.f64 1/2 (-.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 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (*.f64 f -1/4)))))
(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 f (.f64 (PI.f64) -1/2)) 2)
(/.f64 (.f64 4 (.f64 (PI.f64) (*.f64 f -1/4))) 4)
(/.f64 (.f64 2 (.f64 4 (.f64 (PI.f64) (.f64 f -1/4)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 4 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 2 (.f64 4 (.f64 (PI.f64) (.f64 f -1/4))))) 16)
(+.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)

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))))))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4)) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/384))) (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (*.f64 (pow.f64 (PI.f64) 5) -1/122880)))))
(+.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))))
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(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 5) -1/122880))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4)) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/384))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 (pow.f64 (PI.f64) 7) -1/82575360))))))
(+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680))) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)) (+.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)))))
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(/.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 (+.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 (+.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 -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 (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 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 (+.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 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 (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 (+.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)) 1/2)
(/.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 (.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))))) 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 (/.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 (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 (+.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)))))
(.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 (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 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 (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 1/2 (/.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 (+.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 (+.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 (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 (/.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 (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 (+.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 (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 (/.f64 1/2 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4))))) 2) (.f64 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 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 (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 (/.f64 1/2 (-.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 (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)))))
(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 -1/4)) 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 f (.f64 (PI.f64) -1/2)) 2)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (.f64 4 (.f64 (PI.f64) (*.f64 f -1/4))) 4)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (.f64 2 (.f64 4 (.f64 (PI.f64) (.f64 f -1/4)))) 8)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (+.f64 (.f64 2 (.f64 4 (.f64 (PI.f64) (.f64 f -1/4)))) (.f64 2 (.f64 4 (.f64 (PI.f64) (.f64 f -1/4))))) 16)
(.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))

eval80.0ms (0.4%)

Compiler: Compiled 5183 to 3840 computations (25.9% saved)

prune26.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	136	5	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	6	142

Error

1.4b

Counts

142 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	61.9b	(.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 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 -4 (PI.f64)))
▶	2.0b	(.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)))
▶	2.1b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
▶	1.9b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 (/.f64 2 f) (PI.f64))) (.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)))
▶	61.9b	(.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 323 to 253 computations (21.7% saved)

localize99.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(.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 188 computations (21.3% saved)

series1.0ms (0%)

Counts

4 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(.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	f	@	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	f	@	-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)))))

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)))))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`rational.json-simplify-35`
1358×	`bool.json-1`
1358×	`bool.json-2`
1302×	`rational.json-1`
1302×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	180
1	209	180
2	564	168
3	1354	156
4	3935	156

Stop Event

1×	node limit

Counts

4 → 53

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 3)
(-.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 (pow.f64 (PI.f64) 3) 1/192)
(.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 (pow.f64 (PI.f64) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (PI.f64) 3) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (PI.f64) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/2))))) (#(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 (.f64 (pow.f64 (PI.f64) 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (PI.f64) 3) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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 not (not (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 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 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 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 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 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 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 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 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 4)) (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))))))
((#(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 2 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/48))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (pow.f64 (PI.f64) 3) 1/192)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 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 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 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 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (+.f64 f f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 4)) (.f64 2 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) f))))))

simplify253.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2104×	`rational.json-simplify-2`
1732×	`rational.json-simplify-35`
1370×	`rational.json-simplify-46`
820×	`rational.json-simplify-1`
766×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	2629
1	227	2461
2	524	2373
3	1383	2373
4	2769	2373
5	3569	2373
6	4154	2373
7	4493	2373
8	4946	2373
9	5688	2373
10	6610	2373
11	6963	2373

Stop Event

1×	node limit

Counts

65 → 62

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 (pow.f64 (PI.f64) 3) 0)
(+.f64 0 (pow.f64 (PI.f64) 3))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/2) (.f64 (pow.f64 (PI.f64) 3) 1/2))
(-.f64 (pow.f64 (PI.f64) 3) 0)
(*.f64 (pow.f64 (PI.f64) 3) 1)
(.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/2))
(.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) 2))
(*.f64 1 (pow.f64 (PI.f64) 3))
(.f64 (.f64 (pow.f64 (PI.f64) 3) 2) 1/2)
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/2) 2)
(/.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 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) 0)
(+.f64 0 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 -1 (-.f64 1 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))))
(+.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))
(+.f64 (-.f64 1 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))) -1)
(.f64 2 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 2))
(.f64 1/2 (.f64 2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 1)
(.f64 1 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(.f64 (.f64 2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))) 1/2)
(.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)) -1)
(.f64 -1 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 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 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 2) 2)
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) 1)
(/.f64 (.f64 2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))))) 2)
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 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 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 4) 4)
(/.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 4)) (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 4))) 16)
(neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)
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(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/96) 2)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/48)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/48))) 16)
(+.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 0)
(+.f64 0 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f))
(-.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 0)
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 1)
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (+.f64 f f)) 2)
(/.f64 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) f) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 4)) (.f64 2 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 4))) 16)

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))
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(.f64 f (.f64 (PI.f64) 1/12))
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(.f64 f (.f64 (PI.f64) 1/12))
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(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
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(.f64 1/2 (.f64 (pow.f64 (PI.f64) 3) 2))
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(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(.f64 (/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 2) 2)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) 1)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (.f64 2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))))) 2)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)) -1)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 4) 4)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8))) -2)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) 4)) 8)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 4)) (.f64 2 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) 4))) 16)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(neg.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2))) (*.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8)))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
(+.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(+.f64 0 (*.f64 (pow.f64 (PI.f64) 3) 1/192))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/96) 2)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/48) 4)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (.f64 2 (.f64 (pow.f64 (PI.f64) 3) 1/48)) 8)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 (PI.f64) 3) 1/48))) 16)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(+.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 0)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(+.f64 0 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f))
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(-.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 0)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 1)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) (+.f64 f f)) 2)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(/.f64 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (*.f64 (PI.f64) 1/2) 2)))) f) 4) 4)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 4)) 8)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 4)) (.f64 2 (.f64 (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64)) 1/8) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))) f) 4))) 16)
(.f64 f (-.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
(.f64 f (+.f64 (.f64 1/8 (/.f64 (pow.f64 (PI.f64) 2) (PI.f64))) (.f64 (pow.f64 (PI.f64) 3) (/.f64 -1/96 (pow.f64 (.f64 (PI.f64) 1/2) 2)))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 18 computations (43.8% saved)

series50.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	f	@	0	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
18.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
7.0ms	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))

rewrite94.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2206×	`bool.json-1`
2206×	`bool.json-2`
1194×	`rational.json-simplify-35`
908×	`rational.json-1`
908×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	76
1	134	76
2	386	76
3	958	76
4	2775	76
5	7147	76

Stop Event

1×	node limit

Counts

4 → 86

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 (.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 4 (+.f64 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.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) 2)) 8))))) (#(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 -4 (/.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))) 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 (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 4 (.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (/.f64 4 (.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (/.f64 4 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simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1828×	`rational.json-simplify-35`
1076×	`rational.json-simplify-19`
902×	`rational.json-simplify-39`
894×	`rational.json-simplify-43`
800×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	201	3208
1	502	3180
2	1706	3180
3	3652	3180
4	5790	3180
5	7597	3180

Stop Event

1×	node limit

Counts

134 → 108

Calls

Call 1

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

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series55.0ms (0.3%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	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))))
16.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (.f64 (PI.f64) (.f64 f 1/2))))
1.0ms	f	@	0	(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)))
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)))

rewrite360.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1684×	`bool.json-1`
1684×	`bool.json-2`
1634×	`rational.json-1`
1634×	`rational.json-2`
1362×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	226
1	224	226
2	616	226
3	1637	226
4	5043	226

Stop Event

1×	node limit

Counts

4 → 75

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

Outputs
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simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1264×	`rational.json-simplify-51`
1056×	`rational.json-simplify-35`
1004×	`rational.json-simplify-46`
966×	`rational.json-simplify-49`
960×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	8063
1	668	7887
2	1724	7755
3	6110	7667

Stop Event

1×	node limit

Counts

123 → 162

Calls

Call 1

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

localize64.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (PI.f64) (.f64 f 1/4))
✓	0.3b	(.f64 (PI.f64) (.f64 f -1/4))
✓	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)))))
✓	5.7b	(-.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))))

rewrite105.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1802×	`bool.json-1`
1802×	`bool.json-2`
1752×	`rational.json-1`
1362×	`bool.json-3`
744×	`rational.json-simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	170
1	198	164
2	520	164
3	1071	164
4	2281	164
5	5549	164

Stop Event

1×	node limit

Counts

4 → 111

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 (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 (.f64 (PI.f64) (+.f64 f f)) (.f64 (PI.f64) (+.f64 f f))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (PI.f64) (.f64 f 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (PI.f64) (.f64 f 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (PI.f64) (.f64 f 1/4)) (.f64 (PI.f64) (.f64 f 1/4)))))))

simplify190.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1942×	`rational.json-simplify-35`
1100×	`rational.json-simplify-41`
1064×	`rational.json-simplify-2`
628×	`rational.json-simplify-50`
570×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	308	10347
1	865	9755
2	3027	9573
3	5335	9517
4	7912	9501

Stop Event

1×	node limit

Counts

159 → 163

Calls

Call 1

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

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 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (PI.f64) (.f64 f 1/2))))
(+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
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(+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))
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(-.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 (PI.f64) 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 (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 (PI.f64) 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 (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 (PI.f64) 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 (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 (PI.f64) 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 (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 (PI.f64) 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 (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 (PI.f64) 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 (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 (PI.f64) 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 (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 (PI.f64) 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 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 (/.f64 2 (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4))) f)
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(/.f64 (/.f64 -4 (neg.f64 (PI.f64))) f)
(/.f64 (/.f64 4 (PI.f64)) f)
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(*.f64 2 (/.f64 (/.f64 2 (PI.f64)) f))
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(/.f64 (+.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))))) 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))))) 1/4)) 8)
(/.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 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2)) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2))) (.f64 2 (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 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 (.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))))) 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))))) 4))) 16)
(/.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 (.f64 2 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) (.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)))) 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 (neg.f64 (neg.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))))) (neg.f64 (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)))))
(/.f64 (/.f64 (neg.f64 (neg.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 (/.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)))) 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 (/.f64 (neg.f64 (neg.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)))) 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 (/.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))))) 8)
(/.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 (+.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)))))
(/.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)
(/.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 (neg.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)))))
(/.f64 (/.f64 (neg.f64 (neg.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)))))
(/.f64 (/.f64 (neg.f64 (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)))) 4)) 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 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 4)) (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 (.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 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 f 1/4))) (exp.f64 (.f64 (PI.f64) (.f64 f -1/4)))) 2))) (-.f64 0 (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 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)))))
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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 (neg.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 -1/4)) 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) (.f64 f -1)) 4)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 f -1))) 8)
(.f64 (PI.f64) (.f64 -1/4 f))
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 f -1))) (.f64 2 (.f64 (PI.f64) (.f64 f -1)))) 16)
(.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 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 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(/.f64 (*.f64 (PI.f64) (+.f64 f f)) 8)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))
(/.f64 (+.f64 (.f64 (PI.f64) (+.f64 f f)) (.f64 (PI.f64) (+.f64 f f))) 16)
(.f64 1/4 (.f64 (PI.f64) f))
(.f64 (PI.f64) (.f64 1/4 f))

localize106.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 188 to 135 computations (28.2% saved)

series70.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`rational.json-simplify-35`
1244×	`bool.json-1`
1244×	`bool.json-2`
1188×	`rational.json-1`
1188×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	212
1	290	212
2	734	212
3	1634	212
4	3765	212

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs

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

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

Outputs

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simplify372.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2178×	`rational.json-simplify-35`
1298×	`rational.json-simplify-41`
982×	`rational.json-simplify-43`
796×	`rational.json-simplify-1`
794×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	318	10590
1	814	10394
2	2723	10246
3	5163	10182
4	7398	10158

Stop Event

1×	node limit

Counts

90 → 146

Calls

Call 1

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

eval578.0ms (3%)

Compiler: Compiled 23624 to 17683 computations (25.1% saved)

prune134.0ms (0.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	682	5	687
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	685	8	693

Error

1.1b

Counts

693 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
▶	2.0b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
▶	1.8b	(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) (*.f64 -2 (/.f64 (pow.f64 f 2) (PI.f64)))))
▶	2.0b	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
✓	61.9b	(.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)))
✓	2.1b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
▶	1.9b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 (/.f64 2 f) (PI.f64))) (.f64 f (.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
✓	61.9b	(.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 241 to 191 computations (20.7% saved)

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
✓	1.0b	(*.f64 (PI.f64) 1/24)
✓	1.0b	(.f64 (PI.f64) (.f64 (PI.f64) 1/24))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 112 to 71 computations (36.6% saved)

series37.0ms (0.2%)

Counts

4 → 12

Calls

3 calls:

Time

Variable

Point

Expression

18.0ms

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

13.0ms

-inf

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

6.0ms

inf

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2090×	`bool.json-1`
2090×	`bool.json-2`
1588×	`bool.json-3`
880×	`rational.json-simplify-35`
772×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	74
1	162	74
2	436	74
3	1000	74
4	2433	74
5	6293	74

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

Inputs
(log.f64 (/.f64 4 (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) 1/24))
(*.f64 (PI.f64) 1/24)
(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (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 (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))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 1))))) (#(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 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))) 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 not (not (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 4 (PI.f64))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/6)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (PI.f64) (.f64 (PI.f64) 1/6))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 (PI.f64) 1/6))) (.f64 2 (.f64 (PI.f64) (.f64 (PI.f64) 1/6)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (PI.f64) (.f64 (PI.f64) 1/24))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) (.f64 (PI.f64) (.f64 (PI.f64) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) (.f64 (PI.f64) (*.f64 (PI.f64) 1/24)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/24) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/24) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) 1/24) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (PI.f64) 1/6)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (PI.f64) 1/6)) (.f64 2 (.f64 (PI.f64) 1/6))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (PI.f64) 1/24)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (PI.f64) 1/24) (.f64 (PI.f64) 1/24))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (PI.f64) 1/24) (*.f64 (PI.f64) 1/24))))))
((#(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))) (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 2 (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 (.f64 2 (/.f64 1 (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 (/.f64 2 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (neg.f64 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (/.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))) 2) (.f64 (/.f64 1 (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (.f64 (.f64 2 (/.f64 1/2 (PI.f64))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 (PI.f64) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.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 2 (.f64 (/.f64 1/2 (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))) (/.f64 2 (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (/.f64 2 (.f64 (PI.f64) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (.f64 (/.f64 2 (.f64 (PI.f64) 8)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (.f64 1/4 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (.f64 1/2 (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (.f64 (/.f64 -1 (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (PI.f64)) (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (PI.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 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (neg.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 (PI.f64) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (.f64 (PI.f64) 8)) (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (PI.f64)) (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))))))

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1760×	`rational.json-simplify-35`
1326×	`rational.json-simplify-39`
842×	`rational.json-simplify-2`
802×	`rational.json-simplify-1`
718×	`rational.json-simplify-49`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	156	2089
1	323	2073
2	658	2073
3	1488	2073
4	3780	2057
5	5722	2057
6	6738	2057

Stop Event

1×	node limit

Counts

81 → 78

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))) 0)
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) 0)
(*.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))) 2))
(.f64 2 (.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 1))
(.f64 (.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 1/2)
(.f64 1/2 (.f64 (log.f64 (/.f64 4 (PI.f64))) 2))
(*.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) 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)
(+.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) 0)
(+.f64 0 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) 0)
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) 1)
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/12)) 2)
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/6)) 4)
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 (PI.f64) 1/6))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 (PI.f64) 1/6))) (.f64 2 (.f64 (PI.f64) (.f64 (PI.f64) 1/6)))) 16)
(+.f64 (*.f64 (PI.f64) 1/24) 0)
(+.f64 0 (*.f64 (PI.f64) 1/24))
(-.f64 (*.f64 (PI.f64) 1/24) 0)
(/.f64 (*.f64 (PI.f64) 1/24) 1)
(/.f64 (*.f64 (PI.f64) 1/12) 2)
(/.f64 (*.f64 (PI.f64) 1/6) 4)
(/.f64 (.f64 2 (.f64 (PI.f64) 1/6)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) 1/6)) (.f64 2 (.f64 (PI.f64) 1/6))) 16)
(+.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) 0)
(+.f64 0 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(-.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) 0)
(*.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 2 (/.f64 1/2 (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)
(*.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(*.f64 -1 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (neg.f64 (PI.f64))))
(.f64 -1 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (neg.f64 (PI.f64))) 1))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (/.f64 1/2 (PI.f64)))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (*.f64 (/.f64 1 (PI.f64)) 1/2))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) 1))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (.f64 (.f64 2 (/.f64 1/2 (PI.f64))) 1/2))
(.f64 2 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 (PI.f64) 2)))
(.f64 2 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (*.f64 (PI.f64) 2)) 1))
(.f64 2 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (/.f64 1 (PI.f64))))
(.f64 2 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) 1/2))
(.f64 2 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (/.f64 1/2 (PI.f64))))
(.f64 2 (.f64 (/.f64 1/2 (PI.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))) (/.f64 2 (PI.f64))) 1/2)
(.f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (/.f64 2 (*.f64 (PI.f64) 8)))
(.f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (.f64 (/.f64 2 (.f64 (PI.f64) 8)) 1))
(.f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (*.f64 1/4 (/.f64 1 (PI.f64))))
(.f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))
(*.f64 (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (/.f64 -1 (PI.f64)))
(.f64 (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (.f64 (/.f64 -1 (PI.f64)) 1))
(.f64 1/2 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (/.f64 2 (PI.f64))))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (neg.f64 (PI.f64))) -1)
(.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 (PI.f64) 2)) 2)
(.f64 (/.f64 2 (.f64 (PI.f64) 8)) (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
(*.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))
(neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (neg.f64 (PI.f64))))

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))
(/.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))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.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))
(/.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))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 (/.f64 1 f))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (*.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64))
(/.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))
(/.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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (log.f64 (/.f64 -1 f))) (log.f64 -1))) (PI.f64))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) 0)
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 0 (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) 0)
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 1 (log.f64 (/.f64 4 (PI.f64))))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 2 (/.f64 (log.f64 (/.f64 4 (PI.f64))) 2))
(log.f64 (/.f64 4 (PI.f64)))
(.f64 2 (.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 1))
(log.f64 (/.f64 4 (PI.f64)))
(.f64 (.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 1/2)
(log.f64 (/.f64 4 (PI.f64)))
(.f64 1/2 (.f64 (log.f64 (/.f64 4 (PI.f64))) 2))
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (/.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 2)
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (log.f64 (/.f64 4 (PI.f64))) 1)
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 4 (PI.f64))) 2) 2)
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (*.f64 4 (log.f64 (/.f64 4 (PI.f64)))) 4)
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (.f64 2 (.f64 4 (log.f64 (/.f64 4 (PI.f64))))) 8)
(log.f64 (/.f64 4 (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 4 (log.f64 (/.f64 4 (PI.f64))))) (.f64 2 (.f64 4 (log.f64 (/.f64 4 (PI.f64)))))) 16)
(log.f64 (/.f64 4 (PI.f64)))
(+.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) 0)
(.f64 (PI.f64) (.f64 (PI.f64) 1/24))
(+.f64 0 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)))
(.f64 (PI.f64) (.f64 (PI.f64) 1/24))
(-.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) 0)
(.f64 (PI.f64) (.f64 (PI.f64) 1/24))
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) 1)
(.f64 (PI.f64) (.f64 (PI.f64) 1/24))
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/12)) 2)
(.f64 (PI.f64) (.f64 (PI.f64) 1/24))
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/6)) 4)
(.f64 (PI.f64) (.f64 (PI.f64) 1/24))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 (PI.f64) 1/6))) 8)
(.f64 (PI.f64) (.f64 (PI.f64) 1/24))
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 (PI.f64) 1/6))) (.f64 2 (.f64 (PI.f64) (.f64 (PI.f64) 1/6)))) 16)
(.f64 (PI.f64) (.f64 (PI.f64) 1/24))
(+.f64 (*.f64 (PI.f64) 1/24) 0)
(*.f64 (PI.f64) 1/24)
(+.f64 0 (*.f64 (PI.f64) 1/24))
(*.f64 (PI.f64) 1/24)
(-.f64 (*.f64 (PI.f64) 1/24) 0)
(*.f64 (PI.f64) 1/24)
(/.f64 (*.f64 (PI.f64) 1/24) 1)
(*.f64 (PI.f64) 1/24)
(/.f64 (*.f64 (PI.f64) 1/12) 2)
(*.f64 (PI.f64) 1/24)
(/.f64 (*.f64 (PI.f64) 1/6) 4)
(*.f64 (PI.f64) 1/24)
(/.f64 (.f64 2 (.f64 (PI.f64) 1/6)) 8)
(*.f64 (PI.f64) 1/24)
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) 1/6)) (.f64 2 (.f64 (PI.f64) 1/6))) 16)
(*.f64 (PI.f64) 1/24)
(+.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) 0)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(+.f64 0 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) 0)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.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))) (log.f64 f)) (PI.f64))
(.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 2 (/.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (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))) (log.f64 f)) (PI.f64))
(.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 (/.f64 2 (PI.f64)) 1/2))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) 1)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 1 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 -1 (/.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))) (log.f64 f)) (PI.f64))
(.f64 -1 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (neg.f64 (PI.f64))) 1))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (/.f64 1/2 (PI.f64)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (*.f64 (/.f64 1 (PI.f64)) 1/2))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) 1))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (.f64 (.f64 2 (/.f64 1/2 (PI.f64))) 1/2))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 2 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 (PI.f64) 2)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 2 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (*.f64 (PI.f64) 2)) 1))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 2 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2) (/.f64 1 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 2 (.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (PI.f64)) 1/2))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 2 (.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))) (log.f64 f)) (PI.f64))
(.f64 2 (.f64 (/.f64 1/2 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (/.f64 2 (PI.f64))) 1/2)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (/.f64 2 (*.f64 (PI.f64) 8)))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (.f64 (/.f64 2 (.f64 (PI.f64) 8)) 1))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (*.f64 1/4 (/.f64 1 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (*.f64 1/2 (/.f64 1/2 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 (/.f64 1 (PI.f64)) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 (neg.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))) (log.f64 f)) (PI.f64))
(.f64 (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) (.f64 (/.f64 -1 (PI.f64)) 1))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 1/2 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (/.f64 2 (PI.f64))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (/.f64 1/2 (PI.f64)) (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (.f64 (/.f64 1 (PI.f64)) 1/2) (*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) 2))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (neg.f64 (PI.f64))) -1)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (.f64 (PI.f64) 2)) 2)
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(.f64 (/.f64 2 (.f64 (PI.f64) 8)) (*.f64 4 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 (/.f64 -1 (PI.f64)) (neg.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(*.f64 (+.f64 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(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))) (log.f64 f)) (PI.f64))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1376×	`bool.json-1`
1376×	`bool.json-2`
1328×	`rational.json-1`
1328×	`rational.json-2`
1328×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	138	60
2	439	60
3	1237	60
4	3978	60

Stop Event

1×	node limit

Counts

2 → 59

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 (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) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2) 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 (*.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 (neg.f64 (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 (PI.f64) (neg.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) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 2))))) (#(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 (PI.f64) (neg.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 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.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 -8 (*.f64 (PI.f64) 4)))))) (#(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 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (/.f64 2 (neg.f64 (PI.f64))))))) (#(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 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (*.f64 2 (*.f64 (PI.f64) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 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 1/2 (/.f64 -8 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -8 (*.f64 (PI.f64) 4)) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))))) (#(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 (neg.f64 (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 1 (*.f64 2 (*.f64 (PI.f64) -1/2))) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (neg.f64 (PI.f64))) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 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 not (not (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))))

simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational.json-simplify-41`
1062×	`rational.json-simplify-61`
918×	`rational.json-simplify-43`
862×	`rational.json-simplify-35`
818×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	135	2739
1	267	2723
2	575	2723
3	1389	2723
4	4703	2723
5	7040	2723

Stop Event

1×	node limit

Counts

83 → 74

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

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

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 20 computations (45.9% saved)

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))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2088×	`bool.json-1`
2088×	`bool.json-2`
1318×	`rational.json-simplify-35`
960×	`rational.json-1`
960×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	114	27
2	352	27
3	938	27
4	2866	27
5	7098	27

Stop Event

1×	node limit

Counts

1 → 26

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 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 0)))) (#(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 (/.f64 1/2 (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 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 (/.f64 1/2 (PI.f64)) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))))) (#(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 (/.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 (/.f64 1/2 (PI.f64)) (/.f64 1/2 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(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 not (not (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))))

simplify134.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1120×	`rational.json-simplify-53`
1096×	`rational.json-simplify-2`
934×	`rational.json-simplify-41`
744×	`rational.json-simplify-44`
722×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	77	1146
1	152	1138
2	287	1138
3	524	1138
4	1128	1138
5	4431	1138
6	5552	1138
7	7592	1138

Stop Event

1×	node limit

Counts

38 → 32

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

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
✓	0.4b	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 40 to 24 computations (40% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	f	@	0	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	-inf	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	inf	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	-inf	(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
0.0ms	f	@	inf	(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1726×	`bool.json-1`
1726×	`bool.json-2`
1664×	`rational.json-1`
1664×	`rational.json-2`
1334×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
1	153	68
2	408	68
3	877	68
4	1989	68
5	5478	68

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 (PI.f64) -1/2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (*.f64 (PI.f64) -1/2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (neg.f64 (PI.f64)) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 (neg.f64 (*.f64 (PI.f64) 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (PI.f64) (/.f64 -1/4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (PI.f64) (/.f64 -1/4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (/.f64 (*.f64 (PI.f64) 2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (+.f64 (/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (*.f64 (/.f64 (*.f64 (PI.f64) 2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (PI.f64) -1/2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (*.f64 (PI.f64) (/.f64 -1/4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 (PI.f64) (/.f64 -1/4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 (*.f64 (PI.f64) -1/2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (+.f64 (/.f64 (*.f64 (PI.f64) 2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (*.f64 (PI.f64) 2) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (/.f64 (*.f64 4 (PI.f64)) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -8 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2) (*.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -16 (/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 -16 (/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 8 (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/2) (*.f64 (PI.f64) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (*.f64 (neg.f64 (*.f64 (PI.f64) -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 -16 (/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))) (*.f64 2 (/.f64 -16 (/.f64 (PI.f64) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)) (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))) (+.f64 (neg.f64 (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 (PI.f64) -1/4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) -1/4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2) (PI.f64)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 2)) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/2) (*.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2)) (-.f64 0 (*.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64))) (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64))) (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 0)))) (#(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 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 2 (*.f64 4 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))))))))

simplify158.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1738×	`rational.json-simplify-35`
1244×	`rational.json-simplify-2`
942×	`rational.json-simplify-1`
702×	`rational.json-simplify-43`
692×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	3078
1	403	3046
2	1605	3046
3	3239	3046
4	5080	3046
5	6054	3046
6	7470	3046

Stop Event

1×	node limit

Counts

80 → 69

Calls

Call 1

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (/.f64 2 f) (PI.f64))
✓	0.4b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 (/.f64 2 f) (PI.f64))) (.f64 f (.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
✓	0.6b	(.f64 f (.f64 (PI.f64) 1/12))
✓	1.0b	(*.f64 (PI.f64) 1/12)

Compiler

Compiled 77 to 54 computations (29.9% 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 (/.f64 2 f) (PI.f64))) (.f64 f (.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	0	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 (/.f64 2 f) (PI.f64))) (.f64 f (.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
1.0ms	f	@	-inf	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 (/.f64 2 f) (PI.f64))) (.f64 f (.f64 (PI.f64) 1/12)))) (/.f64 -4 (PI.f64)))
0.0ms	f	@	0	(.f64 f (.f64 (PI.f64) 1/12))
0.0ms	f	@	0	(/.f64 (/.f64 2 f) (PI.f64))

rewrite150.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1620×	`rational.json-simplify-35`
1228×	`bool.json-1`
1228×	`bool.json-2`
1180×	`rational.json-1`
1180×	`rational.json-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	98
1	188	98
2	529	98
3	1300	92
4	3679	92

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) 1/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) 1/12) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) 1/12) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (PI.f64) 1/12) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (PI.f64) 1/12) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 (PI.f64) 1/12) 4)) (.f64 2 (.f64 (.f64 (PI.f64) 1/12) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (PI.f64) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (PI.f64) 1/12) (.f64 (PI.f64) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (PI.f64) 1/12) (*.f64 (PI.f64) 1/12))))))
((#(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 2 (.f64 (PI.f64) (.f64 f 1/6))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 f 1/6)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 f 1/6)))) (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 f 1/6))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (PI.f64) (.f64 1/12 f))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (PI.f64) (.f64 1/12 f)) (.f64 (PI.f64) (.f64 1/12 f)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (PI.f64) (.f64 1/12 f)) (.f64 (PI.f64) (*.f64 1/12 f)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 -4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (/.f64 (/.f64 4 f) (PI.f64)))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (/.f64 (/.f64 4 f) (PI.f64)))) (/.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 (/.f64 4 f) (PI.f64))))))))) (#(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 (/.f64 4 f) (PI.f64))))) (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (/.f64 (/.f64 4 f) (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (/.f64 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simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational.json-simplify-51`
896×	`rational.json-simplify-35`
876×	`rational.json-simplify-50`
828×	`rational.json-simplify-41`
784×	`rational.json-simplify-44`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	244	3828
1	553	3792
2	1312	3792
3	4253	3792
4	6666	3792
5	7331	3792

Stop Event

1×	node limit

Counts

116 → 142

Calls

Call 1

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

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

eval304.0ms (1.6%)

Compiler: Compiled 10141 to 7281 computations (28.2% saved)

prune86.0ms (0.4%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	505	9	514
Fresh	0	0	0
Picked	1	0	1
Done	2	5	7
Total	508	14	522

Error

1.1b

Counts

522 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.0b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
	2.0b	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) -1/4)
✓	2.0b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
▶	2.1b	(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
▶	1.8b	(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
	2.1b	(.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
▶	2.0b	(*.f64 (-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 1 (log.f64 f))) 1) (/.f64 -4 (PI.f64)))
▶	2.0b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
✓	61.9b	(.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)))
✓	2.1b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
▶	1.9b	(.f64 (log.f64 (+.f64 (.f64 f (*.f64 1/12 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
	1.9b	(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
✓	61.9b	(.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)))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))

Compiler

Compiled 407 to 327 computations (19.7% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
	1.0b	(pow.f64 (PI.f64) 3)
✓	1.0b	(*.f64 (PI.f64) -1/12)
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 133 to 90 computations (32.3% saved)

series0.0ms (0%)

Counts: 1 → 0

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1442×	`bool.json-1`
1442×	`bool.json-2`
1378×	`rational.json-1`
1378×	`rational.json-2`
1378×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	60	9
2	171	9
3	346	9
4	685	9
5	1457	9
6	3407	9
7	6193	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (PI.f64) -1/12)

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) -1/24) (*.f64 (PI.f64) -1/24))))) (#(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 (PI.f64) -2/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (PI.f64) -2/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (PI.f64) -2/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (PI.f64) -2/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (PI.f64) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (PI.f64) -1/12) (*.f64 (PI.f64) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (PI.f64) -1/12) (*.f64 (PI.f64) -1/12))))))

simplify635.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

6216×	`rational.json-simplify-41`
2494×	`rational.json-simplify-35`
1150×	`rational.json-simplify-2`
614×	`rational.json-simplify-1`
540×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	99
1	86	99
2	155	99
3	353	99
4	788	99
5	2159	99
6	2854	99
7	2952	99
8	3005	99
9	3054	99
10	3100	99
11	3146	99
12	3220	99
13	3265	99
14	3310	99
15	3355	99
16	3400	99
17	3445	99
18	3490	99
19	3535	99
20	3580	99
21	3625	99
22	3670	99
23	3715	99
24	3760	99
25	3805	99
26	3850	99
27	3895	99
28	3895	99
29	3940	99
30	3985	99
31	4030	99
32	4075	99
33	4120	99
34	4165	99
35	4210	99

Stop Event

1×	node limit

Counts

11 → 12

Calls

Call 1

Inputs
(+.f64 (*.f64 (PI.f64) -1/12) 0)
(+.f64 0 (*.f64 (PI.f64) -1/12))
(+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) -1/24))
(-.f64 (*.f64 (PI.f64) -1/12) 0)
(/.f64 (*.f64 (PI.f64) -1/12) 1)
(/.f64 (*.f64 (PI.f64) -1/6) 2)
(/.f64 (*.f64 (PI.f64) -1/3) 4)
(/.f64 (*.f64 (PI.f64) -2/3) 8)
(/.f64 (.f64 2 (.f64 (PI.f64) -2/3)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (PI.f64) -2/3))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) -2/3)))) 64)

Outputs
(+.f64 (*.f64 (PI.f64) -1/12) 0)
(*.f64 (PI.f64) -1/12)
(+.f64 0 (*.f64 (PI.f64) -1/12))
(*.f64 (PI.f64) -1/12)
(+.f64 (.f64 (PI.f64) -1/24) (.f64 (PI.f64) -1/24))
(*.f64 (PI.f64) -1/12)
(-.f64 (*.f64 (PI.f64) -1/12) 0)
(*.f64 (PI.f64) -1/12)
(/.f64 (*.f64 (PI.f64) -1/12) 1)
(*.f64 (PI.f64) -1/12)
(/.f64 (*.f64 (PI.f64) -1/6) 2)
(*.f64 (PI.f64) -1/12)
(/.f64 (*.f64 (PI.f64) -1/3) 4)
(*.f64 (PI.f64) -1/12)
(/.f64 (*.f64 (PI.f64) -2/3) 8)
(*.f64 (PI.f64) -1/12)
(/.f64 (.f64 2 (.f64 (PI.f64) -2/3)) 16)
(*.f64 (PI.f64) -1/12)
(/.f64 (.f64 2 (.f64 2 (*.f64 (PI.f64) -2/3))) 32)
(*.f64 (PI.f64) -1/12)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) -2/3)))) 64)
(*.f64 (PI.f64) -1/12)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 30 computations (40% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 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 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))
0.0ms	f	@	inf	(.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`bool.json-1`
1554×	`bool.json-2`
1508×	`rational.json-1`
1508×	`rational.json-2`
1508×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	97
1	162	85
2	492	85
3	1366	85
4	4532	85

Stop Event

1×	node limit

Counts

3 → 55

Calls

Call 1

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

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 1 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (PI.f64))) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 4) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 2 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 2) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 4) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 4) (*.f64 4 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (PI.f64))) (*.f64 2 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 4) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) 2)) (neg.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (PI.f64))) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (PI.f64))) (-.f64 0 (neg.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1/2 (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)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 1 (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))) (/.f64 1 (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 1 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))) (#(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 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 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (/.f64 1 (*.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (/.f64 2 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 4 (PI.f64)) (/.f64 1 (neg.f64 (/.f64 1 (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))) -4) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (*.f64 (/.f64 1 (PI.f64)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -8) (/.f64 1 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 4) (/.f64 1 (neg.f64 (PI.f64))))))) (#(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 1/2 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) 2) (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4) (neg.f64 (PI.f64))))))) (#(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 -2 (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))) (*.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (/.f64 -4 (PI.f64))))))))

simplify139.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1114×	`rational.json-simplify-2`
916×	`rational.json-simplify-1`
848×	`rational.json-simplify-51`
824×	`rational.json-simplify-44`
734×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	150	2995
1	370	2971
2	913	2971
3	3807	2971
4	5856	2971
5	7046	2971

Stop Event

1×	node limit

Counts

91 → 73

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

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

localize20.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	0.4b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 35 to 23 computations (34.3% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1574×	`bool.json-1`
1574×	`bool.json-2`
1516×	`rational.json-1`
1516×	`rational.json-2`
1516×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	139	60
2	369	60
3	795	60
4	1779	60
5	4960	60

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (*.f64 (PI.f64) -1/2) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (*.f64 (PI.f64) -1/2) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (/.f64 (neg.f64 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (neg.f64 (*.f64 (PI.f64) 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (neg.f64 (*.f64 (PI.f64) -1/4)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (PI.f64) (/.f64 -1/4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (*.f64 (PI.f64) (/.f64 -1/4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (/.f64 (PI.f64) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (+.f64 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (*.f64 (/.f64 (PI.f64) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 (PI.f64) -1/2) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (*.f64 (PI.f64) (/.f64 -1/4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 (PI.f64) (/.f64 -1/4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (/.f64 (*.f64 (PI.f64) -1/2) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -8 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -2) (*.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (+.f64 (/.f64 (PI.f64) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1/2)) (/.f64 (PI.f64) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -16 (/.f64 (*.f64 4 (PI.f64)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (neg.f64 (*.f64 (PI.f64) -1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -16 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (+.f64 (neg.f64 (*.f64 (PI.f64) -1/4)) (neg.f64 (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (*.f64 2 (neg.f64 (*.f64 (PI.f64) -1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 -16 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 8 (*.f64 (PI.f64) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1/2) (*.f64 (PI.f64) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (/.f64 -16 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (*.f64 2 (/.f64 -16 (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.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))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -2) (PI.f64)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) -1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 (PI.f64) -1/4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (neg.f64 (*.f64 (PI.f64) -1/4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) -1/4) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (PI.f64) 2)) -1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1/2) (*.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -2)) (-.f64 0 (*.f64 (PI.f64) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (*.f64 (PI.f64) 1/4)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.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))) (log.f64 f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 f) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (log.f64 f) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 2 (*.f64 4 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) -1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))))

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2120×	`rational.json-simplify-35`
1240×	`rational.json-simplify-51`
1166×	`rational.json-simplify-2`
1048×	`rational.json-simplify-1`
762×	`rational.json-simplify-39`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	170	3148
1	461	3116
2	1729	3116
3	3570	3116
4	6296	3116
5	7424	3116

Stop Event

1×	node limit

Counts

90 → 81

Calls

Call 1

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

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 1 (log.f64 f))) 1)
✓	0.2b	(+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 1 (log.f64 f)))
✓	0.4b	(*.f64 (-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 1 (log.f64 f))) 1) (/.f64 -4 (PI.f64)))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 57 to 40 computations (29.8% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1818×	`bool.json-1`
1818×	`bool.json-2`
1754×	`rational.json-1`
1366×	`bool.json-3`
762×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	113
1	176	113
2	471	101
3	978	97
4	2245	97
5	6066	97

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

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

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

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

Outputs

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(*.f64 (PI.f64) -1/4) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (*.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))) (/.f64 (neg.f64 (*.f64 (PI.f64) 2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -4 (*.f64 (/.f64 (PI.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))) (/.f64 -4 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (*.f64 (PI.f64) (/.f64 2 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -8 (+.f64 (/.f64 (PI.f64) (+.f64 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simplify155.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1816×	`rational.json-simplify-35`
1348×	`rational.json-simplify-2`
1198×	`rational.json-simplify-39`
882×	`rational.json-simplify-41`
774×	`rational.json-simplify-43`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	188	3919
1	474	3871
2	1822	3871
3	3592	3855
4	5906	3855
5	6986	3823

Stop Event

1×	node limit

Counts

113 → 100

Calls

Call 1

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

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (log.f64 (+.f64 (.f64 f (*.f64 1/12 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
✓	0.4b	(/.f64 (/.f64 4 (PI.f64)) f)
✓	0.6b	(.f64 f (.f64 1/12 (PI.f64)))
✓	1.0b	(*.f64 1/12 (PI.f64))

Compiler

Compiled 64 to 43 computations (32.8% saved)

series1.0ms (0%)

Counts

4 → 36

Calls

9 calls:

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

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`rational.json-simplify-35`
1278×	`bool.json-1`
1278×	`bool.json-2`
1226×	`rational.json-1`
1226×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	177	92
2	501	92
3	1274	92
4	3723	92

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/12 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/12 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/12 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/12 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/12 (PI.f64)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 1/12 (PI.f64)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 1/12 (PI.f64)) 4)) (.f64 2 (.f64 (.f64 1/12 (PI.f64)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 1/12 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 1/12 (PI.f64)) (.f64 1/12 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 1/12 (PI.f64)) (*.f64 1/12 (PI.f64)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/12 (.f64 (PI.f64) f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/12 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/12 (.f64 (PI.f64) f)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/12 (.f64 (PI.f64) 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 2 (.f64 (PI.f64) (.f64 f 1/6))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 f 1/6)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 f 1/6)))) (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 f 1/6))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 1/12 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 1/12 (.f64 (PI.f64) f)) (.f64 1/12 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 1/12 (.f64 (PI.f64) f)) (.f64 1/12 (*.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 4 (.f64 (PI.f64) f)) 0)))) (#(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 -4 (PI.f64)) (/.f64 1 (neg.f64 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 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 4 (PI.f64)) (+.f64 f f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (/.f64 8 (PI.f64)) f) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 8 (PI.f64)) f) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (/.f64 4 (PI.f64))) (/.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 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (PI.f64)) (/.f64 4 f))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (/.f64 8 (PI.f64)) 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 (neg.f64 f)) (/.f64 -4 (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)) (neg.f64 f)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (/.f64 8 (PI.f64)) f) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 f 4)) (.f64 4 (/.f64 4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (neg.f64 (PI.f64))) (/.f64 -4 f))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f64 4 (.f64 (PI.f64) f))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f64 4 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (/.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 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 (.f64 (PI.f64) -1/2) (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (.f64 (PI.f64) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) 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8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 4 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.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 4 (.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))) (.f64 2 (.f64 4 (.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (/.f64 (.f64 4 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4)) (/.f64 (.f64 4 (log.f64 (+.f64 (.f64 1/12 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(PI.f64) f)))) (/.f64 -4 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))) (.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))))))

simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-2`
1180×	`rational.json-simplify-51`
960×	`rational.json-simplify-50`
872×	`rational.json-simplify-35`
830×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	3934
1	549	3886
2	1294	3862
3	3885	3862
4	6670	3862
5	7261	3862

Stop Event

1×	node limit

Counts

114 → 137

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 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 (+.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)))))
(-.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3)))))
(-.f64 (+.f64 (.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 -1/12 (PI.f64))) (.f64 -1 (log.f64 (/.f64 -1 f)))) (PI.f64))) (.f64 4608 (/.f64 1 (.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 5))))) (+.f64 (.f64 147456 (/.f64 1 (.f64 (pow.f64 f 6) (pow.f64 (PI.f64) 7)))) (.f64 192 (/.f64 1 (*.f64 (pow.f64 f 2) (pow.f64 (PI.f64) 3))))))
(+.f64 (*.f64 1/12 (PI.f64)) 0)
(+.f64 0 (*.f64 1/12 (PI.f64)))
(-.f64 (*.f64 1/12 (PI.f64)) 0)
(/.f64 (*.f64 1/12 (PI.f64)) 1)
(/.f64 (*.f64 (PI.f64) 1/6) 2)
(/.f64 (.f64 (.f64 1/12 (PI.f64)) 4) 4)
(/.f64 (.f64 2 (.f64 (*.f64 1/12 (PI.f64)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 1/12 (PI.f64)) 4)) (.f64 2 (.f64 (.f64 1/12 (PI.f64)) 4))) 16)
(+.f64 (.f64 1/12 (.f64 (PI.f64) f)) 0)
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(-.f64 (.f64 1/12 (.f64 (PI.f64) f)) 0)
(/.f64 (.f64 1/12 (.f64 (PI.f64) f)) 1)
(/.f64 (.f64 (PI.f64) (.f64 f 1/6)) 2)
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 f 1/6))) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 f 1/6)))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 f 1/6)))) (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 f 1/6))))) 16)
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(*.f64 (/.f64 4 (PI.f64)) (/.f64 1 f))
(.f64 (/.f64 4 (.f64 (PI.f64) f)) 1)
(*.f64 (/.f64 -4 (PI.f64)) (/.f64 1 (neg.f64 f)))
(.f64 1 (/.f64 4 (.f64 (PI.f64) f)))
(*.f64 (/.f64 8 (PI.f64)) (/.f64 1/2 f))
(.f64 (/.f64 8 (PI.f64)) (.f64 (/.f64 1 f) 1/2))
(*.f64 (/.f64 4 f) (/.f64 1 (PI.f64)))
(*.f64 2 (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)))
(*.f64 2 (/.f64 (/.f64 (/.f64 8 (PI.f64)) f) 4))
(*.f64 (/.f64 (/.f64 8 (PI.f64)) f) 1/2)
(.f64 (.f64 4 (/.f64 4 (PI.f64))) (/.f64 1 (*.f64 f 4)))
(.f64 (/.f64 8 f) (/.f64 1 (.f64 (PI.f64) 2)))
(*.f64 (/.f64 1 f) (/.f64 4 (PI.f64)))
(*.f64 (/.f64 -4 f) (/.f64 1 (neg.f64 (PI.f64))))
(*.f64 -1 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)))
(*.f64 -1 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 4 f))
(*.f64 1/2 (/.f64 (/.f64 8 (PI.f64)) f))
(*.f64 (/.f64 1/2 f) (/.f64 8 (PI.f64)))
(.f64 (.f64 (/.f64 1 f) 1/2) (/.f64 8 (PI.f64)))
(*.f64 (/.f64 1 (neg.f64 f)) (/.f64 -4 (PI.f64)))
(.f64 (/.f64 1 (.f64 (PI.f64) 2)) (/.f64 8 f))
(*.f64 (/.f64 (/.f64 4 (PI.f64)) (neg.f64 f)) -1)
(*.f64 (/.f64 (/.f64 4 f) (neg.f64 (PI.f64))) -1)
(*.f64 (/.f64 (/.f64 4 (PI.f64)) (+.f64 f f)) 2)
(*.f64 (/.f64 (/.f64 (/.f64 8 (PI.f64)) f) 4) 2)
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(*.f64 (/.f64 1 (neg.f64 (PI.f64))) (/.f64 -4 f))
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(/.f64 1 (/.f64 (.f64 (PI.f64) -1/4) (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))))
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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 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
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(/.f64 (/.f64 4 (PI.f64)) f)
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(/.f64 (/.f64 4 (PI.f64)) f)
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(/.f64 (/.f64 4 (PI.f64)) f)
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(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
(/.f64 4 (*.f64 f (PI.f64)))
(/.f64 (/.f64 4 (PI.f64)) f)
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(/.f64 (.f64 4 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 2 (.f64 (PI.f64) -1/2)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (.f64 4 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 4 (.f64 (PI.f64) -1/4)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (.f64 2 (.f64 4 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))))) (+.f64 (.f64 4 (.f64 (PI.f64) -1/4)) (.f64 4 (*.f64 (PI.f64) -1/4))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (.f64 2 (.f64 4 (.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))) 8)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 (.f64 4 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))) (*.f64 (PI.f64) -1/4)) 4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) -1/4)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (neg.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))) (neg.f64 (.f64 (PI.f64) -1/4)))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (+.f64 (.f64 2 (.f64 4 (.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64))))) (.f64 2 (.f64 4 (.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (/.f64 -4 (PI.f64)))))) 16)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (+.f64 (/.f64 (.f64 4 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4)) (/.f64 (.f64 4 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))) (.f64 (PI.f64) -1/4))) 8)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (+.f64 (/.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)) (/.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64))) -1/2)
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))
(/.f64 (+.f64 (neg.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f))))) (neg.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (.f64 (PI.f64) f)))))) (+.f64 (neg.f64 (.f64 (PI.f64) -1/4)) (neg.f64 (.f64 (PI.f64) -1/4))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(.f64 (/.f64 -4 (PI.f64)) (log.f64 (+.f64 (.f64 1/12 (*.f64 f (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))))

eval316.0ms (1.6%)

Compiler: Compiled 11065 to 8012 computations (27.6% saved)

prune89.0ms (0.5%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	533	2	535
Fresh	2	2	4
Picked	0	1	1
Done	1	8	9
Total	536	13	549

Error

1.1b

Counts

549 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.0b	(/.f64 (/.f64 (log.f64 (/.f64 4 (*.f64 (PI.f64) f))) (PI.f64)) -1/4)
	1.8b	(/.f64 (/.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) -1/4)
✓	2.0b	(/.f64 -4 (/.f64 (PI.f64) (log.f64 (/.f64 4 (*.f64 (PI.f64) f)))))
✓	2.1b	(/.f64 -4 (.f64 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f)))) (PI.f64)))
	1.8b	(+.f64 (.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
	2.1b	(.f64 (/.f64 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
✓	2.0b	(*.f64 (-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 1 (log.f64 f))) 1) (/.f64 -4 (PI.f64)))
✓	2.0b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
✓	61.9b	(.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)))
✓	2.1b	(.f64 (log.f64 (/.f64 4 (.f64 (PI.f64) f))) (/.f64 -4 (PI.f64)))
✓	1.9b	(.f64 (log.f64 (+.f64 (.f64 f (*.f64 1/12 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
✓	61.9b	(.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)))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))

Compiler

Compiled 236 to 189 computations (19.9% saved)

regimes50.0ms (0.3%)

Counts

23 → 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 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 (-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 1 (log.f64 f))) 1) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (.f64 f (*.f64 1/12 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) -1/4)
(/.f64 (/.f64 (log.f64 (+.f64 (.f64 (PI.f64) (.f64 1/12 f)) (/.f64 (/.f64 4 f) (PI.f64)))) (PI.f64)) -1/4)
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 (/.f64 2 f) (PI.f64))) (.f64 f (.f64 (PI.f64) 1/12)))) (/.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 (PI.f64) (*.f64 f 1/2)))) (/.f64 -4 (PI.f64)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) 1/24)) (*.f64 -2 (/.f64 (pow.f64 f 2) (PI.f64)))))
(+.f64 (.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (+.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/12)) (.f64 1/1152 (*.f64 (pow.f64 f 4) (pow.f64 (PI.f64) 3)))))
(.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 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 f (/.f64 (PI.f64) -4)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 -4 (PI.f64)))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 (/.f64 2 f) (PI.f64))) (.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 1/12 (.f64 (PI.f64) f)) (/.f64 4 (*.f64 (PI.f64) f)))) (PI.f64)) -1/4)

Calls

6 calls:

11.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
11.0ms	f
4.0ms	(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
4.0ms	(/.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)))))
4.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))

Results

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

Compiler

Compiled 619 to 450 computations (27.3% saved)

regimes10.0ms (0.1%)

Counts

11 → 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 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 (-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 1 (log.f64 f))) 1) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (.f64 1/12 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))) (/.f64 -4 (PI.f64)))
(.f64 (log.f64 (+.f64 (.f64 f (*.f64 1/12 (PI.f64))) (/.f64 (/.f64 4 (PI.f64)) f))) (/.f64 -4 (PI.f64)))

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
1.9b	1	`f`

Compiler

Compiled 143 to 99 computations (30.8% saved)

regimes9.0ms (0%)

Counts

9 → 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 1 (/.f64 1 (log.f64 (/.f64 4 (.f64 (PI.f64) f))))) (/.f64 -4 (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -4 (PI.f64)))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -4 (PI.f64)))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 1/12 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 (-.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 1 (log.f64 f))) 1) (/.f64 -4 (PI.f64)))

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
2.0b	1	`f`

Compiler

Compiled 111 to 78 computations (29.7% saved)

regimes4.0ms (0%)

Accuracy

Total -0.2b remaining (-7.9%)

Threshold costs -0.2b (-7.9%)

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
2.0b	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	30	205

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 67 to 51 computations (23.9% saved)

soundness612.0ms (3.1%)

Algorithm

4×	egg-herbie

Rules

2104×	`rational.json-simplify-2`
1732×	`rational.json-simplify-35`
1576×	`rational.json-simplify-35`
1466×	`rational.json-simplify-2`
1370×	`rational.json-simplify-46`

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	221	6667
1	499	6227
2	1299	6081
3	3677	6063
4	6320	6063
0	112	2629
1	227	2461
2	524	2373
3	1383	2373
4	2769	2373
5	3569	2373
6	4154	2373
7	4493	2373
8	4946	2373
9	5688	2373
10	6610	2373
11	6963	2373
0	244	3828
1	553	3792
2	1312	3792
3	4253	3792
4	6666	3792
5	7331	3792

Stop Event

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

Compiler

Compiled 445 to 339 computations (23.8% saved)

end57.0ms (0.3%)

Compiler: Compiled 63 to 40 computations (36.5% saved)