Details

analyze317.0ms (3.7%)

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
6.3%	6.2%	93.7%	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
49.1%	43.7%	45.3%	0.1%	10.9%	0%	0%	9
49.6%	43.7%	44.5%	0.1%	11.7%	0%	0%	10
56.9%	46.8%	35.5%	0.1%	17.6%	0%	0%	11
57.3%	46.8%	34.9%	0.1%	18.1%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample5.1s (60.1%)

Results

1.3s	2105×	body	1024	valid
1.2s	1988×	body	1024	infinite
1.1s	5126×	body	256	valid
640.0ms	2198×	body	256	infinite
605.0ms	1022×	body	512	valid
299.0ms	1025×	body	512	infinite
2.0ms	3×	body	2048	valid

Bogosity

preprocess67.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

740×	`fma-neg_binary64`
620×	`fma-def_binary64`
554×	`div-sub_binary64`
485×	`associate-*l/_binary64`
400×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	63	22
3	144	22
4	329	22
5	839	22
6	2566	22
7	6744	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
491×	`times-frac_binary64`
419×	`associate-/l*_binary64`
357×	`div-sub_binary64`
352×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	35	11
3	77	11
4	171	11
5	428	11
6	1295	11
7	5092	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 16 to 8 computations (50% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
▶	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize17.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series19.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	-inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	y	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
3.0ms	y	@	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	x	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	x	@	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

rewrite83.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`pow1_binary64`
761×	`add-log-exp_binary64`
760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
743×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	148	11
2	1998	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-def_binary64`
393×	`associate-/l*_binary64`
389×	`times-frac_binary64`
343×	`*-commutative_binary64`
265×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	634
1	159	627
2	455	614
3	1738	541
4	6162	541

Stop Event

1×	node limit

Counts

46 → 39

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))

Outputs
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) (/.f64 y x))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) (/.f64 y x)))
(fma.f64 1/2 (.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (.f64 (/.f64 -1/12 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3))))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 1/2 x) (*.f64 -1/12 (pow.f64 x 3))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (/.f64 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) (/.f64 y x))))
(fma.f64 -1/12 (.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/240 (.f64 (/.f64 (pow.f64 x 5) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))))
(fma.f64 (/.f64 (fma.f64 (exp.f64 y) -1/12 (/.f64 1/12 (exp.f64 y))) y) (pow.f64 x 3) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 1/2 x) (*.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 7)) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2) (/.f64 y x)))))
(fma.f64 -1/12 (.f64 (pow.f64 x 3) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 -1/10080 (.f64 (/.f64 (pow.f64 x 7) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/240 (.f64 (/.f64 (pow.f64 x 5) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (/.f64 1/2 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))))
(+.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 1/2 x) (.f64 -1/10080 (pow.f64 x 7)))))
(+.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 1/2 x) (.f64 -1/12 (pow.f64 x 3)))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 -1/10080 (pow.f64 x 7)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 (.f64 y (*.f64 y 1/6)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/5040 (pow.f64 y 6)))) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (.f64 y (.f64 y 1/6))) (*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) 1)))
(.f64 (sin.f64 x) (+.f64 (fma.f64 1/5040 (pow.f64 y 6) (.f64 y (*.f64 y 1/6))) (fma.f64 1/120 (pow.f64 y 4) 1)))
(.f64 (sin.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) 1))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(*.f64 (/.f64 (sin.f64 x) y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 x) y)
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series8.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
1.0ms	x	@	0	(/.f64 (sin.f64 x) y)
1.0ms	x	@	-inf	(/.f64 (sin.f64 x) y)
1.0ms	x	@	inf	(/.f64 (sin.f64 x) y)
1.0ms	y	@	0	(/.f64 (sin.f64 x) y)

rewrite181.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

829×	`pow1_binary64`
768×	`add-log-exp_binary64`
767×	`log1p-expm1-u_binary64`
767×	`expm1-log1p-u_binary64`
750×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	148	17
2	2008	17

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

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

Outputs

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

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

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

475×	`associate-/l*_binary64`
459×	`times-frac_binary64`
394×	`*-commutative_binary64`
308×	`associate-/r*_binary64`
235×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	714
1	196	705
2	547	690
3	1986	637
4	5935	637

Stop Event

1×	node limit

Counts

89 → 85

Calls

Call 1

Inputs
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))

Outputs
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (.f64 (.f64 1/6 (.f64 y y)) (sin.f64 x))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) (fma.f64 1/120 (pow.f64 y 4) 1)))
(.f64 (sin.f64 x) (+.f64 (.f64 1/120 (pow.f64 y 4)) (fma.f64 1/6 (*.f64 y y) 1)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 6)) (.f64 1/6 (.f64 y y)))) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) (.f64 1/5040 (pow.f64 y 6))) (*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) 1)))
(.f64 (sin.f64 x) (+.f64 (fma.f64 1/6 (.f64 y y) (*.f64 1/5040 (pow.f64 y 6))) (fma.f64 1/120 (pow.f64 y 4) 1)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 x (/.f64 1/2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))
(fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 -1/12 (*.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 x 1/2) (*.f64 -1/12 (pow.f64 x 3))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))))))
(fma.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1/12 (.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (/.f64 y (pow.f64 x 5)) 1/240))))
(fma.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 x y)) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 1/240 (pow.f64 x 5)))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (/.f64 (pow.f64 x 7) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5)))))))
(fma.f64 -1/12 (.f64 (/.f64 (pow.f64 x 3) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/240 (.f64 (pow.f64 x 5) (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y)) (fma.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (*.f64 -1/10080 (pow.f64 x 7))))))
(+.f64 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 x 1/2) (.f64 -1/12 (pow.f64 x 3)))) (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (+.f64 (.f64 1/240 (pow.f64 x 5)) (.f64 -1/10080 (pow.f64 x 7)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 (sin.f64 x) y)))
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (/.f64 x y)))
(fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (fma.f64 -1/5040 (/.f64 (pow.f64 x 7) y) (/.f64 x y))))

eval58.0ms (0.7%)

Compiler: Compiled 1792 to 821 computations (54.2% saved)

prune26.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	120	4	124
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	121	5	126

Error

Counts

126 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	27.4b	(*.f64 (sinh.f64 y) (/.f64 x y))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
▶	15.1b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
▶	34.8b	(*.f64 (sinh.f64 y) (exp.f64 (log.f64 (/.f64 (sin.f64 x) y))))
▶	1.0b	(sin.f64 x)

Compiler

Compiled 43 to 30 computations (30.2% saved)

localize24.0ms (0.3%)

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

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 (sin.f64 x) y))
	0.1b	(/.f64 (sin.f64 x) y)
✓	0.1b	(*.f64 (sinh.f64 y) (exp.f64 (log.f64 (/.f64 (sin.f64 x) y))))
✓	2.7b	(exp.f64 (log.f64 (/.f64 (sin.f64 x) y)))

Compiler

Compiled 32 to 8 computations (75% saved)

series464.0ms (5.4%)

Counts

3 → 64

Calls

18 calls:

Time	Variable		Point	Expression
199.0ms	y	@	-inf	(log.f64 (/.f64 (sin.f64 x) y))
156.0ms	x	@	0	(log.f64 (/.f64 (sin.f64 x) y))
43.0ms	x	@	inf	(log.f64 (/.f64 (sin.f64 x) y))
33.0ms	x	@	-inf	(log.f64 (/.f64 (sin.f64 x) y))
18.0ms	y	@	0	(log.f64 (/.f64 (sin.f64 x) y))

rewrite264.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

880×	`pow1_binary64`
813×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
794×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	171	25
2	2145	25

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(exp.f64 (log.f64 (/.f64 (sin.f64 x) y)))
(*.f64 (sinh.f64 y) (exp.f64 (log.f64 (/.f64 (sin.f64 x) y))))
(log.f64 (/.f64 (sin.f64 x) y))

Outputs

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

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

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

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

548×	`times-frac_binary64`
538×	`associate-/l*_binary64`
467×	`*-commutative_binary64`
361×	`associate-/r*_binary64`
299×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	1072
1	270	1039
2	758	1024
3	2759	971

Stop Event

1×	node limit

Counts

160 → 132

Calls

Call 1

Inputs
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(/.f64 (sin.f64 x) y)
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x)))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/180 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 1 y)) (log.f64 x))))
(+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/180 (pow.f64 x 4)) (+.f64 (log.f64 (/.f64 1 y)) (+.f64 (*.f64 -1/2835 (pow.f64 x 6)) (log.f64 x)))))
(+.f64 (log.f64 (sin.f64 x)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (sin.f64 x)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (sin.f64 x)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (sin.f64 x)) (*.f64 -1 (log.f64 y)))
(+.f64 (log.f64 (sin.f64 x)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 (sin.f64 x)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 (sin.f64 x)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 (sin.f64 x)) (log.f64 (/.f64 1 y)))
(+.f64 (log.f64 (*.f64 -1 (sin.f64 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (sin.f64 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (sin.f64 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (sin.f64 x))) (log.f64 (/.f64 -1 y)))

Outputs
(/.f64 x y)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (/.f64 x y))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (.f64 1/120 (/.f64 (pow.f64 x 5) y))))
(+.f64 (fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (/.f64 x y)) (*.f64 1/120 (/.f64 (pow.f64 x 5) y)))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) y) (fma.f64 1/120 (/.f64 (pow.f64 x 5) y) (/.f64 x y)))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) y)) (+.f64 (/.f64 x y) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) y)) (*.f64 -1/5040 (/.f64 (pow.f64 x 7) y)))))
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(+.f64 (log.f64 (sin.f64 x)) (log.f64 (/.f64 1 y)))
(+.f64 (neg.f64 (log.f64 y)) (log.f64 (sin.f64 x)))
(-.f64 (log.f64 (sin.f64 x)) (log.f64 y))
(+.f64 (log.f64 (*.f64 -1 (sin.f64 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (sin.f64 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (sin.f64 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (*.f64 -1 (sin.f64 x))) (log.f64 (/.f64 -1 y)))
(+.f64 (log.f64 (neg.f64 (sin.f64 x))) (log.f64 (/.f64 -1 y)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.6b	(*.f64 (sinh.f64 y) (/.f64 x y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`pow1_binary64`
682×	`add-log-exp_binary64`
681×	`log1p-expm1-u_binary64`
681×	`expm1-log1p-u_binary64`
666×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	129	9
2	1784	9

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

510×	`distribute-lft-in_binary64`
490×	`distribute-rgt-out_binary64`
482×	`distribute-rgt-in_binary64`
455×	`fma-def_binary64`
405×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	444
1	83	444
2	216	438
3	699	415
4	2690	415
5	5809	415

Stop Event

1×	node limit

Counts

54 → 39

Calls

Call 1

Inputs
x
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) x)) x)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))

Outputs
x
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 1/6 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 y (.f64 x (.f64 1/6 y)) x)
(fma.f64 y (.f64 y (.f64 x 1/6)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) x)
(.f64 x (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (.f64 1/6 (.f64 y y))) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6))) (.f64 x (fma.f64 1/6 (*.f64 y y) 1)))
(fma.f64 x (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6)))) x)
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 x y) (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))))
(*.f64 x (/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) y))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sinh.f64 y) (sin.f64 x))
✓	0.2b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
✓	15.1b	(/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))

Compiler

Compiled 30 to 9 computations (70% saved)

series57.0ms (0.7%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
47.0ms	y	@	inf	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
1.0ms	x	@	0	(/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))
1.0ms	y	@	-inf	(/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))
1.0ms	y	@	inf	(/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))
1.0ms	y	@	0	(/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))

rewrite195.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
389×	`exp-prod_binary64`
350×	`prod-exp_binary64`
288×	`pow-prod-down_binary64`
244×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	189	30
2	2536	30

Stop Event

1×	node limit

Counts

3 → 177

Calls

Call 1

Inputs
(/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (sinh.f64 y) (sin.f64 x))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sinh.f64 y) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (sinh.f64 y)) (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (*.f64 2 (sinh.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))) (sqrt.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sinh.f64 y) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (log.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sinh.f64 y)) (*.f64 (log.f64 (sin.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (*.f64 (log.f64 (sin.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (sinh.f64 y)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (*.f64 (log.f64 (sinh.f64 y)) 1)))))))

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-def_binary64`
487×	`times-frac_binary64`
374×	`associate-l_binary64`
373×	`associate-r_binary64`
308×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	129	1877
1	387	1838
2	1249	1707
3	5028	1676

Stop Event

1×	node limit

Counts

249 → 229

Calls

Call 1

Inputs
(/.f64 1 (sin.f64 x))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 5) (+.f64 (.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/6 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))))) (+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 y (sin.f64 x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (*.f64 y (sin.f64 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 x))) (*.f64 y (sin.f64 x))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) (sin.f64 x))) (*.f64 y (sin.f64 x)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))

Outputs
(/.f64 1 (sin.f64 x))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (.f64 -1/6 (/.f64 (.f64 y y) (sin.f64 x))))
(fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y)) (/.f64 1 (sin.f64 x)))
(fma.f64 -1/6 (*.f64 (/.f64 y (sin.f64 x)) y) (/.f64 1 (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)) (.f64 -1/6 (/.f64 (.f64 y y) (sin.f64 x)))))
(+.f64 (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y)) (/.f64 1 (sin.f64 x))) (*.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))))
(fma.f64 -1/6 (*.f64 (/.f64 y (sin.f64 x)) y) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)) (/.f64 1 (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)) (.f64 -1/6 (/.f64 (.f64 y y) (sin.f64 x))))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x)) (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y)) (*.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))))))
(fma.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x)) (fma.f64 -1/6 (*.f64 (/.f64 y (sin.f64 x)) y) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)) (/.f64 1 (sin.f64 x)))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(fma.f64 1/3 (/.f64 (.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (.f64 2 y) (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(fma.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (/.f64 1/3 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x y))))
(fma.f64 (/.f64 2 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 1/3 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x y))))
(fma.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 x 1/3)))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(fma.f64 1/3 (/.f64 (.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1 (.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180) (pow.f64 x 3)) (/.f64 (.f64 2 y) (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(fma.f64 1/3 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (-.f64 (.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 -7/180 (pow.f64 x 3)))))
(fma.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 (pow.f64 x 3) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 7/180) (/.f64 1/3 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x y)))))
(fma.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (-.f64 (.f64 x 1/3) (*.f64 (pow.f64 x 3) -7/180))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 5) (+.f64 (.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/6 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))))) (+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))))
(fma.f64 -1 (.f64 (pow.f64 x 5) (fma.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180) 1/6)))) (fma.f64 1/3 (/.f64 (.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1 (.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180) (pow.f64 x 3)) (/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))
(-.f64 (fma.f64 1/3 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (-.f64 (.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 -7/180 (pow.f64 x 3))))) (.f64 (pow.f64 x 5) (+.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/1080) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/420))))
(-.f64 (fma.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (fma.f64 (pow.f64 x 3) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 7/180) (/.f64 1/3 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x y))))) (.f64 (pow.f64 x 5) (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -31/7560)))
(fma.f64 (pow.f64 x 5) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 31/7560) (fma.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (-.f64 (.f64 x 1/3) (.f64 (pow.f64 x 3) -7/180)))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x)))
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(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
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(.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (sin.f64 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (sin.f64 x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (sin.f64 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (sin.f64 x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2))
(fma.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 3) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 3) -1/12)))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (fma.f64 1/240 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 5)) (.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)))
(fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (fma.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 5) 1/240))))
(fma.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 (pow.f64 x 3) -1/12) (*.f64 (pow.f64 x 5) 1/240))))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (fma.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 7)) (fma.f64 1/240 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 5)) (.f64 (*.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2))))
(fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 3)) (fma.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 7)) (fma.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 5) 1/240)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 (pow.f64 x 3) -1/12) (.f64 (pow.f64 x 5) 1/240))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 x 1/2) (.f64 -1/10080 (pow.f64 x 7)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (sin.f64 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (sin.f64 x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (sin.f64 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (sin.f64 x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (sin.f64 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (sin.f64 x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (sin.f64 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (sin.f64 x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (sin.f64 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (sin.f64 x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (sin.f64 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (sin.f64 x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (sin.f64 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (sin.f64 x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (sin.f64 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(*.f64 (sin.f64 x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))

eval129.0ms (1.5%)

Compiler: Compiled 6627 to 2914 computations (56% saved)

prune71.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	436	2	438
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	437	6	443

Error

Counts

443 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.4b	(*.f64 (sinh.f64 y) (/.f64 x y))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
	27.5b	x
▶	41.9b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))
✓	34.8b	(*.f64 (sinh.f64 y) (exp.f64 (log.f64 (/.f64 (sin.f64 x) y))))
✓	1.0b	(sin.f64 x)

Compiler

Compiled 45 to 31 computations (31.1% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sinh.f64 y) x)
✓	0.2b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))
✓	15.1b	(/.f64 y (*.f64 (sinh.f64 y) x))

Compiler

Compiled 25 to 8 computations (68% saved)

series11.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
848×	`add-log-exp_binary64`
846×	`log1p-expm1-u_binary64`
846×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	170	24
2	2312	24

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs
(/.f64 y (*.f64 (sinh.f64 y) x))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))
(*.f64 (sinh.f64 y) x)

Outputs

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

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

simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

592×	`associate-/l*_binary64`
548×	`associate-/r/_binary64`
453×	`associate-/r*_binary64`
347×	`*-commutative_binary64`
333×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	1296
1	188	1293
2	510	1236
3	1653	1235
4	3227	1235
5	7283	1235

Stop Event

1×	node limit

Counts

170 → 126

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
x
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) x)) x)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 1/6 (*.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 1/6 (*.f64 (pow.f64 y 3) x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) x)) (.f64 1/5040 (*.f64 (pow.f64 y 7) x)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))

Outputs
(/.f64 1 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 -1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(fma.f64 -1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x)))
(fma.f64 -1/6 (*.f64 (/.f64 y x) y) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x)))
(fma.f64 -1/6 (*.f64 y (/.f64 y x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x)))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 -1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 -1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 -1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))))
(fma.f64 -31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 -1/6 (*.f64 y (/.f64 y x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 -1/6 (*.f64 y (/.f64 y x)) (/.f64 1 x))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 y (/.f64 (/.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 y (/.f64 (/.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 y (/.f64 (/.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 y (/.f64 (/.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 y (/.f64 (/.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 y (/.f64 (/.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 y (/.f64 (/.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 y (/.f64 (/.f64 2 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
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(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(.f64 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/2)
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x 1/2))
(*.f64 x (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))

eval61.0ms (0.7%)

Compiler: Compiled 1635 to 770 computations (52.9% saved)

prune25.0ms (0.3%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	124	8	132

Error

Counts

132 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.4b	(*.f64 (sinh.f64 y) (/.f64 x y))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
▶	42.5b	(/.f64 1 (/.f64 y (*.f64 y x)))
	27.5b	x
▶	27.6b	(/.f64 1 (/.f64 1 x))
✓	41.9b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))
✓	34.8b	(*.f64 (sinh.f64 y) (exp.f64 (log.f64 (/.f64 (sin.f64 x) y))))
✓	1.0b	(sin.f64 x)

Compiler

Compiled 61 to 43 computations (29.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (/.f64 1 x))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 1 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 1 x))

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`pow1_binary64`
336×	`add-sqr-sqrt_binary64`
328×	`*-un-lft-identity_binary64`
323×	`add-log-exp_binary64`
323×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	105	1
2	997	1

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(/.f64 1 (/.f64 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 x)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x . x)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

59 → 48

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
x
x
x
x
x
x
x
x
x
x
x
x

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 y (*.f64 y x)))
✓	15.1b	(/.f64 y (*.f64 y x))

Compiler

Compiled 20 to 7 computations (65% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 y (*.f64 y x))
0.0ms	x	@	-inf	(/.f64 y (*.f64 y x))
0.0ms	y	@	inf	(/.f64 y (*.f64 y x))
0.0ms	y	@	-inf	(/.f64 y (*.f64 y x))
0.0ms	x	@	0	(/.f64 y (*.f64 y x))

rewrite63.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

667×	`pow1_binary64`
620×	`add-log-exp_binary64`
620×	`log1p-expm1-u_binary64`
620×	`expm1-log1p-u_binary64`
605×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	147	5
2	2037	5

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f64 y (*.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))

Outputs

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

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	120
1	6	120

Stop Event

1×

saturated

Counts

127 → 81

Calls

Call 1

Inputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

Outputs
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
(/.f64 1 x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x

eval45.0ms (0.5%)

Compiler: Compiled 1041 to 567 computations (45.5% saved)

prune43.0ms (0.5%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	121	8	129
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	121	16	137

Error

Counts

137 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	42.5b	(/.f64 1 (/.f64 y (*.f64 y x)))
	27.6b	(.f64 (.f64 (/.f64 1 y) y) x)
	28.0b	(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
✓	41.9b	(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))
	43.8b	(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
	27.9b	(*.f64 (/.f64 y 1) (/.f64 x y))
	28.3b	(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))
✓	1.0b	(sin.f64 x)
✓	27.4b	(*.f64 (sinh.f64 y) (/.f64 x y))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
	42.5b	(.f64 (/.f64 1 y) (.f64 y x))
	27.5b	x
✓	27.6b	(/.f64 1 (/.f64 1 x))
	60.8b	(-.f64 (+.f64 1 x) 1)
✓	34.8b	(*.f64 (sinh.f64 y) (exp.f64 (log.f64 (/.f64 (sin.f64 x) y))))
	61.8b	(neg.f64 x)

Compiler

Compiled 132 to 96 computations (27.3% saved)

regimes49.0ms (0.6%)

Counts

18 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 (/.f64 1 y) y) x)
(*.f64 (/.f64 y 1) (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(sin.f64 x)
(*.f64 (sinh.f64 y) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (sinh.f64 y) (exp.f64 (log.f64 (/.f64 (sin.f64 x) y))))

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

Calls

5 calls:

12.0ms	(sin.f64 x)
10.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms	x
9.0ms	y
2.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 143 to 80 computations (44.1% saved)

regimes30.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 (/.f64 1 y) y) x)
(*.f64 (/.f64 y 1) (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(sin.f64 x)
(*.f64 (sinh.f64 y) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))

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

Calls

3 calls:

9.0ms	y
9.0ms	(sin.f64 x)
8.0ms	x

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(sin.f64 x)`

Compiler

Compiled 103 to 61 computations (40.8% saved)

regimes29.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 (/.f64 1 y) y) x)
(*.f64 (/.f64 y 1) (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))
(sin.f64 x)
(*.f64 (sinh.f64 y) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 (sinh.f64 y) x)))

Outputs
(sin.f64 x)

Calls

3 calls:

9.0ms	(sin.f64 x)
9.0ms	y
8.0ms	x

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`y`
1.0b	1	`(sin.f64 x)`

Compiler

Compiled 96 to 59 computations (38.5% saved)

regimes18.0ms (0.2%)

Accuracy

Total -35.1b remaining (-127.7%)

Threshold costs -35.1b (-127.7%)

Counts

11 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(.f64 (.f64 (/.f64 1 y) y) x)
(*.f64 (/.f64 y 1) (/.f64 x y))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(/.f64 1 (-.f64 (+.f64 1 (/.f64 1 x)) 1))

Outputs
x

Calls

2 calls:

7.0ms	x
7.0ms	y

Results

Error	Segments	Branch
27.5b	1	`x`
27.5b	1	`y`

Compiler

Compiled 76 to 49 computations (35.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	11	26

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 25 to 17 computations (32% saved)

soundness0.0ms (0%)

end37.0ms (0.4%)

Compiler: Compiled 19 to 8 computations (57.9% saved)

Details

analyze317.0ms (3.7%)

sample5.1s (60.1%)

preprocess67.0ms (0.8%)

simplify51.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0%)

localize17.0ms (0.2%)

series19.0ms (0.2%)

rewrite83.0ms (1%)

simplify88.0ms (1%)

localize16.0ms (0.2%)

series8.0ms (0.1%)

rewrite181.0ms (2.1%)

simplify126.0ms (1.5%)

eval58.0ms (0.7%)

prune26.0ms (0.3%)

localize24.0ms (0.3%)

localize22.0ms (0.3%)

series464.0ms (5.4%)

rewrite264.0ms (3.1%)

simplify85.0ms (1%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite84.0ms (1%)

simplify71.0ms (0.8%)

localize12.0ms (0.1%)

series57.0ms (0.7%)

rewrite195.0ms (2.3%)

simplify123.0ms (1.4%)

eval129.0ms (1.5%)

prune71.0ms (0.8%)

localize10.0ms (0.1%)

series11.0ms (0.1%)

rewrite82.0ms (1%)

simplify140.0ms (1.6%)

eval61.0ms (0.7%)

prune25.0ms (0.3%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite48.0ms (0.6%)

simplify13.0ms (0.1%)

localize8.0ms (0.1%)

series4.0ms (0%)

rewrite63.0ms (0.7%)

simplify11.0ms (0.1%)

eval45.0ms (0.5%)

prune43.0ms (0.5%)

regimes49.0ms (0.6%)

regimes30.0ms (0.3%)

regimes29.0ms (0.3%)

regimes18.0ms (0.2%)

simplify4.0ms (0%)

soundness0.0ms (0%)

end37.0ms (0.4%)

Profiling