Details

analyze317.0ms (6.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	7
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	8
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	9
50%	43.7%	43.7%	0.1%	12.5%	0%	0%	10
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	11
57.7%	46.8%	34.3%	0.1%	18.7%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.6s (69%)

Results

888.0ms	5293×	body	256	valid
858.0ms	1963×	body	1024	infinite
801.0ms	1942×	body	1024	valid
529.0ms	2077×	body	256	infinite
250.0ms	1048×	body	512	infinite
242.0ms	1018×	body	512	valid
5.0ms	3×	body	2048	valid

Bogosity

preprocess188.0ms (3.6%)

Algorithm

2×	egg-herbie

Rules

1578×	`rational.json-simplify-64`
1462×	`trig.json-simplify-41`
772×	`rational.json-simplify-45`
678×	`rational.json-simplify-1`
646×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	27	42
2	47	42
3	77	42
4	122	42
5	241	42
6	589	42
7	2243	42
8	4725	42
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (cos.f64 y) (/.f64 (sinh.f64 x) x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify220.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1220×	`rational.json-simplify-1`
1206×	`rational.json-simplify-64`
904×	`rational.json-simplify-46`
738×	`trig.json-simplify-41`
660×	`trig.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	29	21
3	45	21
4	69	21
5	135	21
6	330	21
7	1227	21
8	3163	21

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series12.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	y	@	-inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	y	@	inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	x	@	inf	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	x	@	0	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

rewrite173.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`rational.json-5`
756×	`exponential.json-3`
756×	`rational.json-1`
756×	`rational.json-2`
756×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	83	21
2	314	21
3	1286	21
4	6073	21

Stop Event

1×	node limit

Counts

1 → 8

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))))))

simplify195.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1794×	`rational.json-simplify-47`
914×	`rational.json-simplify-111`
824×	`rational.json-simplify-2`
618×	`rational.json-simplify-41`
554×	`rational.json-simplify-49`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	70	1424
1	136	1424
2	252	1404
3	489	1394
4	1731	1394
5	4436	1382

Stop Event

1×	node limit

Counts

32 → 41

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(+.f64 0 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(-.f64 0 (neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(neg.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))

Outputs
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 -1/4 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y)))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) y))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y)) (.f64 1/48 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) y))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 -1/1440 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)) y)) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y)) (+.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) y))) (.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) y))))
(+.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) y))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y)) (.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) y))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) y)) (.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) y)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (+.f64 (.f64 1/48 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) y)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 2)) y)) (.f64 -1/1440 (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) y)))))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(cos.f64 x)
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/6)))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 1/6 (pow.f64 y 2))))
(.f64 (cos.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 2)) 1))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x)))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/6)) (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (pow.f64 y 4) 1/120))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 4))) (.f64 (cos.f64 x) (.f64 1/6 (pow.f64 y 2)))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (*.f64 1/6 (pow.f64 y 2)))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4))) 1))
(+.f64 (.f64 1/120 (.f64 (cos.f64 x) (pow.f64 y 4))) (+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (+.f64 (cos.f64 x) (.f64 1/5040 (.f64 (cos.f64 x) (pow.f64 y 6))))))
(+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 4) 1/120)) (+.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/6)) (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 (pow.f64 y 6) 1/5040)))))
(+.f64 (.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 4))) (+.f64 (.f64 (cos.f64 x) (.f64 1/5040 (pow.f64 y 6))) (+.f64 (cos.f64 x) (.f64 (cos.f64 x) (.f64 1/6 (pow.f64 y 2))))))
(+.f64 (cos.f64 x) (+.f64 (.f64 (cos.f64 x) (.f64 1/120 (pow.f64 y 4))) (.f64 (cos.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (*.f64 1/6 (pow.f64 y 2))))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (.f64 1/6 (pow.f64 y 2))))))
(+.f64 (cos.f64 x) (.f64 (cos.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))))
(.f64 (cos.f64 x) (+.f64 (+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (.f64 1/120 (pow.f64 y 4)))) 1))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(.f64 1/2 (/.f64 (.f64 (cos.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (cos.f64 x)) y))
(+.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(+.f64 0 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(-.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(-.f64 0 (neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (/.f64 (.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y)) 1)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (neg.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

eval16.0ms (0.3%)

Compiler: Compiled 934 to 472 computations (49.5% saved)

prune7.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

Counts

42 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.6b	(cos.f64 x)

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize3.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 x) (pow.f64 y 2))
✓	0.2b	(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))

Compiler

Compiled 36 to 21 computations (41.7% saved)

series6.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
1.0ms	x	@	inf	(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
1.0ms	y	@	0	(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
1.0ms	y	@	inf	(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
1.0ms	x	@	-inf	(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))

rewrite130.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

804×	`rational.json-5`
802×	`exponential.json-3`
802×	`rational.json-1`
802×	`rational.json-2`
802×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	99	40
2	346	40
3	1405	40
4	6612	40

Stop Event

1×	node limit

Counts

2 → 16

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (cos.f64 x) (pow.f64 y 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/3)) (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 x) (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (cos.f64 x) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) (/.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) (.f64 (cos.f64 x) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 (cos.f64 x) (pow.f64 y 2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) (/.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 y 2) 1/3)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 y 2) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 1/6 (*.f64 (cos.f64 x) (pow.f64 y 2)))))))))

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

simplify142.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational.json-simplify-49`
1062×	`rational.json-simplify-54`
980×	`rational.json-simplify-41`
944×	`rational.json-simplify-43`
720×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	780
1	149	762
2	324	720
3	740	702
4	2736	702
5	6831	702

Stop Event

1×	node limit

Counts

24 → 53

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 -1/4320 (.f64 (pow.f64 y 2) (pow.f64 x 6))) (+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(pow.f64 y 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (pow.f64 y 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (pow.f64 y 2) (.f64 -1/720 (.f64 (pow.f64 y 2) (pow.f64 x 6))))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 0)
(+.f64 0 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(-.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 0)
(-.f64 0 (neg.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))))
(/.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 1)
(/.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/3)) (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/3))))
(pow.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 1)
(neg.f64 (neg.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))))
(+.f64 (*.f64 (cos.f64 x) (pow.f64 y 2)) 0)
(+.f64 0 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 y 2)) 0)
(-.f64 0 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 y 2)) 1)
(/.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) (/.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) (*.f64 (cos.f64 x) (pow.f64 y 2))))
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 y 2)) 1)
(neg.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 y 2))))

Outputs
(*.f64 1/6 (pow.f64 y 2))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (pow.f64 (*.f64 y x) 2)))
(.f64 (pow.f64 y 2) (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))))
(+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2)))))
(+.f64 (.f64 1/6 (pow.f64 y 2)) (+.f64 (.f64 -1/12 (pow.f64 (.f64 y x) 2)) (.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 4) 1/144))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2)))) (.f64 (pow.f64 y 2) (.f64 1/144 (pow.f64 x 4))))
(.f64 (pow.f64 y 2) (+.f64 (.f64 1/144 (pow.f64 x 4)) (+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2)))))
(.f64 (pow.f64 y 2) (+.f64 1/6 (+.f64 (.f64 1/144 (pow.f64 x 4)) (*.f64 -1/12 (pow.f64 x 2)))))
(+.f64 (.f64 -1/4320 (.f64 (pow.f64 y 2) (pow.f64 x 6))) (+.f64 (.f64 1/144 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (*.f64 (pow.f64 y 2) (pow.f64 x 2))))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 4) 1/144)) (+.f64 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 -1/12 (pow.f64 (.f64 y x) 2))) (.f64 (pow.f64 y 2) (*.f64 (pow.f64 x 6) -1/4320))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2)))) (+.f64 (.f64 (pow.f64 y 2) (.f64 -1/4320 (pow.f64 x 6))) (.f64 (pow.f64 y 2) (.f64 1/144 (pow.f64 x 4)))))
(+.f64 (.f64 (pow.f64 y 2) (.f64 1/144 (pow.f64 x 4))) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/4320 (pow.f64 x 6)) (+.f64 1/6 (*.f64 -1/12 (pow.f64 x 2))))))
(.f64 (pow.f64 y 2) (+.f64 (.f64 1/144 (pow.f64 x 4)) (+.f64 1/6 (+.f64 (.f64 -1/12 (pow.f64 x 2)) (.f64 -1/4320 (pow.f64 x 6))))))
(.f64 (pow.f64 y 2) (+.f64 (.f64 1/144 (pow.f64 x 4)) (+.f64 (.f64 -1/4320 (pow.f64 x 6)) (+.f64 1/6 (.f64 -1/12 (pow.f64 x 2))))))
(pow.f64 y 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (pow.f64 y 2))
(+.f64 (pow.f64 y 2) (.f64 (pow.f64 (.f64 y x) 2) -1/2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (pow.f64 y 2)))
(+.f64 (.f64 (pow.f64 (.f64 y x) 2) -1/2) (+.f64 (pow.f64 y 2) (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 4) 1/24))))
(+.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 4) 1/24)) (.f64 (pow.f64 (.f64 y x) 2) -1/2)))
(+.f64 (pow.f64 y 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 x 4) 1/24) (*.f64 (pow.f64 x 2) -1/2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 1/24 (.f64 (pow.f64 y 2) (pow.f64 x 4))) (+.f64 (pow.f64 y 2) (.f64 -1/720 (.f64 (pow.f64 y 2) (pow.f64 x 6))))))
(+.f64 (.f64 (pow.f64 (.f64 y x) 2) -1/2) (+.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 6) -1/720)) (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 4) 1/24)))))
(+.f64 (pow.f64 y 2) (+.f64 (+.f64 (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 4) 1/24)) (.f64 (pow.f64 y 2) (.f64 (pow.f64 x 6) -1/720))) (.f64 (pow.f64 (.f64 y x) 2) -1/2)))
(+.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 (.f64 y x) 2) -1/2) (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 x 6) -1/720) (*.f64 (pow.f64 x 4) 1/24)))))
(+.f64 (pow.f64 y 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 x 2) -1/2) (+.f64 (.f64 (pow.f64 x 4) 1/24) (.f64 (pow.f64 x 6) -1/720)))))
(+.f64 (pow.f64 y 2) (.f64 (pow.f64 y 2) (+.f64 (+.f64 (.f64 (pow.f64 x 4) 1/24) (.f64 (pow.f64 x 2) -1/2)) (.f64 (pow.f64 x 6) -1/720))))
(+.f64 (pow.f64 y 2) (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 x 6) -1/720) (+.f64 (.f64 (pow.f64 x 4) 1/24) (.f64 (pow.f64 x 2) -1/2)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 0)
(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
(.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6))
(.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x)))
(+.f64 0 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))))
(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
(.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6))
(.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x)))
(-.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 0)
(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
(.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6))
(.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x)))
(-.f64 0 (neg.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))))
(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
(.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6))
(.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x)))
(/.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 1)
(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
(.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6))
(.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x)))
(/.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/3)) (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/3))))
(/.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))) (/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/3)) (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/3))))
(/.f64 (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6)) (/.f64 (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/3)) (.f64 (cos.f64 x) (.f64 (pow.f64 y 2) 1/3))))
(/.f64 (.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x))) (/.f64 (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/3)) (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/3))))
(/.f64 (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))) (/.f64 (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/3)) (.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/3))))
(pow.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) 1)
(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
(.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6))
(.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x)))
(neg.f64 (neg.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2)))))
(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
(.f64 (pow.f64 y 2) (.f64 (cos.f64 x) 1/6))
(.f64 (pow.f64 y 2) (.f64 1/6 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (pow.f64 y 2)) 0)
(*.f64 (pow.f64 y 2) (cos.f64 x))
(+.f64 0 (*.f64 (cos.f64 x) (pow.f64 y 2)))
(*.f64 (pow.f64 y 2) (cos.f64 x))
(-.f64 (*.f64 (cos.f64 x) (pow.f64 y 2)) 0)
(*.f64 (pow.f64 y 2) (cos.f64 x))
(-.f64 0 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (pow.f64 y 2) (cos.f64 x))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 y 2)) 1)
(*.f64 (pow.f64 y 2) (cos.f64 x))
(/.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) (/.f64 (.f64 (cos.f64 x) (pow.f64 y 2)) (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (pow.f64 y 2) (cos.f64 x))
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 y 2)) 1)
(*.f64 (pow.f64 y 2) (cos.f64 x))
(neg.f64 (neg.f64 (*.f64 (cos.f64 x) (pow.f64 y 2))))
(*.f64 (pow.f64 y 2) (cos.f64 x))

eval26.0ms (0.5%)

Compiler: Compiled 1142 to 791 computations (30.7% saved)

prune10.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	53	3	56

Error

Counts

56 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.6b	(cos.f64 x)

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes121.0ms (2.3%)

Accuracy

Total -0.6b remaining (-15000.5%)

Threshold costs -0.6b (-15000.5%)

Counts

3 → 1

Calls

Call 1

Inputs
(cos.f64 x)
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(+.f64 (.f64 1/6 (.f64 (cos.f64 x) (pow.f64 y 2))) (cos.f64 x))

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Calls

5 calls:

106.0ms	y
4.0ms	x
4.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	(cos.f64 x)
2.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))`
0.0b	1	`(cos.f64 x)`
0.0b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 47 to 29 computations (38.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)

Outputs
(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
(cos.f64 x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

soundness0.0ms (0%)

end20.0ms (0.4%)

Compiler: Compiled 11 to 6 computations (45.5% saved)

Details

analyze317.0ms (6.1%)

sample3.6s (69%)

preprocess188.0ms (3.6%)

simplify220.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.2%)

series12.0ms (0.2%)

rewrite173.0ms (3.3%)

simplify195.0ms (3.7%)

eval16.0ms (0.3%)

prune7.0ms (0.1%)

localize3.0ms (0.1%)

localize16.0ms (0.3%)

series6.0ms (0.1%)

rewrite130.0ms (2.5%)

simplify142.0ms (2.7%)

eval26.0ms (0.5%)

prune10.0ms (0.2%)

regimes121.0ms (2.3%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end20.0ms (0.4%)

Profiling