Details

analyze354.0ms (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)

sample4.3s (44.4%)

Results

1.2s	5194×	body	256	valid
1.1s	1991×	body	1024	valid
798.0ms	2083×	body	1024	infinite
472.0ms	1063×	body	512	valid
411.0ms	1074×	body	512	infinite
351.0ms	2113×	body	256	infinite
10.0ms	8×	body	2048	valid
1.0ms	1×	body	2048	infinite

Bogosity

preprocess64.0ms (0.7%)

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)

simplify47.0ms (0.5%)

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)

prune1.0ms (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
▶	0.1b	(*.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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series13.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite56.0ms (0.6%)

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	14
1	148	14
2	1998	14

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

Outputs

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

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

simplify162.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

428×	`*-commutative_binary64`
393×	`associate-/l*_binary64`
389×	`times-frac_binary64`
371×	`unswap-sqr_binary64`
266×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	790
1	190	777
2	552	736
3	2095	686
4	5864	686

Stop Event

1×	node limit

Counts

79 → 69

Calls

Call 1

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	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)

series6.0ms (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)

rewrite59.0ms (0.6%)

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)))))))

simplify203.0ms (2.1%)

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))))

eval46.0ms (0.5%)

Compiler: Compiled 2517 to 1143 computations (54.6% saved)

prune34.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	179	5	184
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	181	5	186

Error

Counts

186 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(sin.f64 x)
▶	0.5b	(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
▶	0.1b	(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
▶	31.3b	(*.f64 (sinh.f64 y) (/.f64 x y))
▶	13.7b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

Compiler

Compiled 82 to 56 computations (31.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(/.f64 y (sin.f64 x))
✓	0.2b	(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series6.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

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

rewrite204.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

921×	`pow1_binary64`
857×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
837×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	2241	17

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

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

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-neg_binary64`
544×	`cancel-sign-sub-inv_binary64`
467×	`distribute-rgt-in_binary64`
453×	`distribute-lft-in_binary64`
407×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	83	725
1	233	708
2	742	687
3	3236	626

Stop Event

1×	node limit

Counts

100 → 96

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 y x)
(+.f64 (/.f64 y x) (.f64 1/6 (.f64 y x)))
(+.f64 (/.f64 y x) (+.f64 (.f64 1/6 (.f64 y x)) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 y) (.f64 1/120 y)) (pow.f64 x 3)))))
(+.f64 (/.f64 y x) (+.f64 (.f64 1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 y) (.f64 1/120 y)) (pow.f64 x 3))) (.f64 -1 (.f64 (+.f64 (.f64 1/720 y) (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 y) (.f64 1/120 y))) (*.f64 -1/5040 y))) (pow.f64 x 5))))))

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 (fma.f64 1/6 (.f64 y y) 1) (*.f64 1/120 (pow.f64 y 4))))
(+.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 1/6 (.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 1/6 (.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 1/5040 (pow.f64 y 6) (.f64 1/6 (*.f64 y y))) (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 (.f64 1/2 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 -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 (.f64 1/2 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y))
(fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)) (*.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 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 (.f64 1/2 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)) (*.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 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 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 (.f64 1/2 (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) 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 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)) (*.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 1/2 (.f64 (/.f64 x 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 -1/10080 (*.f64 (/.f64 (pow.f64 x 7) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))
(+.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 y x)
(+.f64 (/.f64 y x) (.f64 1/6 (.f64 y x)))
(+.f64 (/.f64 y x) (.f64 1/6 (.f64 x y)))
(fma.f64 1/6 (*.f64 x y) (/.f64 y x))
(fma.f64 x (*.f64 1/6 y) (/.f64 y x))
(+.f64 (/.f64 y x) (+.f64 (.f64 1/6 (.f64 y x)) (.f64 -1 (.f64 (+.f64 (.f64 -1/36 y) (.f64 1/120 y)) (pow.f64 x 3)))))
(+.f64 (/.f64 y x) (fma.f64 1/6 (.f64 x y) (neg.f64 (.f64 (pow.f64 x 3) (*.f64 y -7/360)))))
(-.f64 (fma.f64 1/6 (.f64 x y) (/.f64 y x)) (.f64 (pow.f64 x 3) (*.f64 y -7/360)))
(fma.f64 x (.f64 1/6 y) (fma.f64 (pow.f64 x 3) (.f64 y 7/360) (/.f64 y x)))
(+.f64 (/.f64 y x) (.f64 y (fma.f64 x 1/6 (.f64 (pow.f64 x 3) 7/360))))
(+.f64 (/.f64 y x) (+.f64 (.f64 1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/36 y) (.f64 1/120 y)) (pow.f64 x 3))) (.f64 -1 (.f64 (+.f64 (.f64 1/720 y) (+.f64 (.f64 1/6 (+.f64 (.f64 -1/36 y) (.f64 1/120 y))) (*.f64 -1/5040 y))) (pow.f64 x 5))))))
(+.f64 (/.f64 y x) (fma.f64 1/6 (.f64 x y) (.f64 -1 (+.f64 (.f64 (pow.f64 x 3) (.f64 y -7/360)) (.f64 (pow.f64 x 5) (fma.f64 1/720 y (fma.f64 1/6 (.f64 y -7/360) (*.f64 y -1/5040))))))))
(+.f64 (/.f64 y x) (fma.f64 1/6 (.f64 x y) (neg.f64 (fma.f64 (pow.f64 x 3) (.f64 y -7/360) (.f64 (pow.f64 x 5) (fma.f64 y 1/720 (fma.f64 y -1/5040 (.f64 y -7/2160))))))))
(-.f64 (fma.f64 x (.f64 1/6 y) (/.f64 y x)) (fma.f64 (pow.f64 x 5) (fma.f64 y 1/720 (.f64 y -13/3780)) (.f64 (pow.f64 x 3) (.f64 y -7/360))))
(fma.f64 y (fma.f64 x 1/6 (.f64 (pow.f64 x 3) 7/360)) (-.f64 (/.f64 y x) (.f64 (pow.f64 x 5) (*.f64 y -31/15120))))

localize4.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	13.7b	(*.f64 (sinh.f64 y) (/.f64 x y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite133.0ms (1.4%)

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))))))))

simplify67.0ms (0.7%)

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))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sinh.f64 y) (sin.f64 x))
✓	13.8b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

Compiler

Compiled 20 to 6 computations (70% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(*.f64 (sinh.f64 y) (sin.f64 x))
0.0ms	y	@	inf	(*.f64 (sinh.f64 y) (sin.f64 x))
0.0ms	y	@	0	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
0.0ms	y	@	0	(*.f64 (sinh.f64 y) (sin.f64 x))
0.0ms	x	@	0	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
789×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
771×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	148	19
2	2051	19

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sinh.f64 y) (sin.f64 x))) 1)))) (#(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 (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 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 cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sinh.f64 y) 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))))))))

simplify82.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

491×	`associate-/l*_binary64`
471×	`times-frac_binary64`
468×	`fma-def_binary64`
366×	`associate-+l+_binary64`
316×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1196
1	249	1179
2	755	1074
3	2894	1003
4	7936	1003

Stop Event

1×	node limit

Counts

104 → 91

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

localize151.0ms (1.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/6 (*.f64 y y) 1)
✓	0.0b	(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))

Compiler

Compiled 26 to 13 computations (50% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
1.0ms	x	@	0	(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
1.0ms	y	@	inf	(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
1.0ms	y	@	0	(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
0.0ms	x	@	-inf	(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
683×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	172	21
2	1889	21

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(fma.f64 1/6 (*.f64 y y) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (*.f64 y y))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))))

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

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

943×	`fma-def_binary64`
732×	`distribute-rgt-in_binary64`
692×	`distribute-lft-in_binary64`
464×	`unswap-sqr_binary64`
443×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	553
1	96	481
2	286	450
3	1179	425
4	3969	425
5	4928	425
6	6003	425
7	7219	425
8	7673	425
9	7834	425

Stop Event

1×	node limit

Counts

72 → 55

Calls

Call 1

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

Outputs
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(.f64 (fma.f64 1/6 (.f64 y y) 1) x)
(fma.f64 (.f64 y y) (.f64 1/6 x) x)
(+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (.f64 -1/6 (.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3))))
(fma.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) x (.f64 (.f64 -1/6 (+.f64 1 (.f64 1/6 (.f64 y y)))) (pow.f64 x 3)))
(fma.f64 (fma.f64 1/6 (.f64 y y) 1) x (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (pow.f64 x 3) -1/6)))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 5))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3)))))
(fma.f64 1/120 (.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (pow.f64 x 5)) (fma.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) x (.f64 (.f64 -1/6 (+.f64 1 (.f64 1/6 (*.f64 y y)))) (pow.f64 x 3))))
(fma.f64 1/120 (.f64 (fma.f64 1/6 (.f64 y y) 1) (pow.f64 x 5)) (fma.f64 (fma.f64 1/6 (.f64 y y) 1) x (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (pow.f64 x 3) -1/6))))
(fma.f64 (pow.f64 x 3) (+.f64 -1/6 (.f64 (.f64 y y) -1/36)) (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 x (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 5))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3))) (.f64 -1/5040 (.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 7))))))
(fma.f64 1/120 (.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (pow.f64 x 5)) (fma.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) x (fma.f64 -1/6 (.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (pow.f64 x 3)) (.f64 -1/5040 (.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (pow.f64 x 7))))))
(fma.f64 1/120 (.f64 (fma.f64 1/6 (.f64 y y) 1) (pow.f64 x 5)) (fma.f64 (fma.f64 1/6 (.f64 y y) 1) x (fma.f64 -1/5040 (.f64 (fma.f64 1/6 (.f64 y y) 1) (pow.f64 x 7)) (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (pow.f64 x 3) -1/6)))))
(+.f64 (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 -1/6 (pow.f64 x 3))) (fma.f64 1/120 (pow.f64 x 5) x)))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 (fma.f64 -1/5040 (pow.f64 x 7) x) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 y (.f64 y (*.f64 1/6 (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 y (.f64 y (*.f64 1/6 (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)

eval96.0ms (1%)

Compiler: Compiled 5016 to 2320 computations (53.7% saved)

prune55.0ms (0.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	365	6	371
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	367	9	376

Error

Counts

376 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))
▶	0.5b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
	31.2b	x
▶	31.7b	(*.f64 y (/.f64 x y))
▶	14.6b	(/.f64 (*.f64 (sin.f64 x) y) y)
✓	31.3b	(*.f64 (sinh.f64 y) (/.f64 x y))
✓	0.9b	(sin.f64 x)
✓	13.7b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
▶	60.5b	(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))

Compiler

Compiled 150 to 100 computations (33.3% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
✓	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
1.0ms	y	@	0	(.f64 1/6 (.f64 y y))
0.0ms	y	@	inf	(.f64 1/6 (.f64 y y))
0.0ms	y	@	inf	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
0.0ms	x	@	inf	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`prod-diff_binary64`
470×	`log-prod_binary64`
358×	`exp-prod_binary64`
313×	`pow-prod-down_binary64`
253×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	210	20
2	2618	20

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs
(.f64 1/6 (.f64 y y))
(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 y 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 y y)))) 2)) (cbrt.f64 (log.f64 (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 y y))))) (sqrt.f64 (log.f64 (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 1/6 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (sqrt.f64 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/216 (pow.f64 y 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y y))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y y))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/6 (*.f64 y y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/6 (*.f64 y y) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 2)) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (/.f64 1 (-.f64 (fma.f64 1/36 (pow.f64 y 4) 1) (*.f64 1/6 (*.f64 y y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1)) -1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (*.f64 y y) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))) 2) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (sin.f64 x)) (-.f64 (fma.f64 1/36 (pow.f64 y 4) 1) (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (sin.f64 x)) (fma.f64 1/6 (*.f64 y y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (fma.f64 1/216 (pow.f64 y 6) 1)) (-.f64 (fma.f64 1/36 (pow.f64 y 4) 1) (*.f64 1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (pow.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)) (sin.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 (*.f64 y y) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) (*.f64 1/6 (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (*.f64 y y)) (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (*.f64 1/6 (*.f64 y y)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) 1 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) (*.f64 (cbrt.f64 (*.f64 1/6 (*.f64 y y))) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 1/6 (*.f64 y y))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) 1) (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 1/6)) (*.f64 (*.f64 y (sqrt.f64 1/6)) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 1/6 (*.f64 y y))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x))) 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x)))) 2) (cbrt.f64 (*.f64 (*.f64 1/6 y) (*.f64 y (sin.f64 x)))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y (sqrt.f64 1/6)) (sqrt.f64 (sin.f64 x))) (*.f64 (*.f64 y (sqrt.f64 1/6)) (sqrt.f64 (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) 1/6) (*.f64 y y) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (*.f64 y y)) 1/6 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (*.f64 1/36 (pow.f64 y 4)))) (cbrt.f64 (*.f64 1/6 (*.f64 y y))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (*.f64 y (sqrt.f64 1/6))) (*.f64 y (sqrt.f64 1/6)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (*.f64 1/6 y)) y (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (*.f64 y (sqrt.f64 1/6)) (cbrt.f64 (sin.f64 x))) 2) (cbrt.f64 (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

943×	`fma-def_binary64`
732×	`distribute-rgt-in_binary64`
692×	`distribute-lft-in_binary64`
464×	`unswap-sqr_binary64`
443×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	532
1	96	478
2	286	447
3	1184	422
4	3989	422
5	4932	422
6	5997	422
7	7213	422
8	7667	422
9	7828	422

Stop Event

1×	node limit

Counts

131 → 111

Calls

Call 1

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

Outputs
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) x)
(.f64 (fma.f64 1/6 (.f64 y y) 1) x)
(.f64 (fma.f64 y (.f64 1/6 y) 1) x)
(+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (.f64 -1/6 (.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3))))
(fma.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) x (.f64 (.f64 -1/6 (+.f64 (.f64 1/6 (.f64 y y)) 1)) (pow.f64 x 3)))
(fma.f64 (fma.f64 1/6 (.f64 y y) 1) x (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (pow.f64 x 3) -1/6)))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (fma.f64 -1/6 (pow.f64 x 3) x))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 5))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3)))))
(fma.f64 1/120 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 5)) (fma.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) x (.f64 (.f64 -1/6 (+.f64 (.f64 1/6 (*.f64 y y)) 1)) (pow.f64 x 3))))
(fma.f64 1/120 (.f64 (fma.f64 1/6 (.f64 y y) 1) (pow.f64 x 5)) (fma.f64 (fma.f64 1/6 (.f64 y y) 1) x (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (pow.f64 x 3) -1/6))))
(fma.f64 (pow.f64 x 3) (+.f64 -1/6 (.f64 (.f64 y y) -1/36)) (.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) (*.f64 1/120 (pow.f64 x 5))))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (fma.f64 -1/6 (pow.f64 x 3) x)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 5))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3))) (.f64 -1/5040 (.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 7))))))
(fma.f64 1/120 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 5)) (fma.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) x (fma.f64 -1/6 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 3)) (.f64 -1/5040 (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (pow.f64 x 7))))))
(fma.f64 1/120 (.f64 (fma.f64 1/6 (.f64 y y) 1) (pow.f64 x 5)) (fma.f64 (fma.f64 1/6 (.f64 y y) 1) x (fma.f64 -1/5040 (.f64 (fma.f64 1/6 (.f64 y y) 1) (pow.f64 x 7)) (.f64 (fma.f64 1/6 (.f64 y y) 1) (.f64 (pow.f64 x 3) -1/6)))))
(+.f64 (.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5)))))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3))) (fma.f64 -1/5040 (pow.f64 x 7) x)))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (fma.f64 -1/5040 (pow.f64 x 7) x) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (sin.f64 x))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (sin.f64 x))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.7b	(*.f64 y (/.f64 x y))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite213.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

593×	`pow1_binary64`
549×	`add-log-exp_binary64`
549×	`log1p-expm1-u_binary64`
549×	`expm1-log1p-u_binary64`
536×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1457	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

44 → 21

Calls

Call 1

Inputs
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
x
x
x
x
x
x
x
x
x
x
x
x
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
✓	0.1b	(*.f64 (sin.f64 x) y)
✓	13.8b	(/.f64 (*.f64 (sin.f64 x) y) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`pow1_binary64`
564×	`add-log-exp_binary64`
564×	`log1p-expm1-u_binary64`
564×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	125	9
2	1773	9

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify128.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1187×	`fma-def_binary64`
690×	`unswap-sqr_binary64`
654×	`sqr-pow_binary64`
596×	`cube-prod_binary64`
434×	`fabs-mul_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	34	302
1	98	302
2	256	292
3	715	284
4	1590	284
5	2285	284
6	2572	284
7	3098	284
8	3989	284
9	4132	284
10	4359	284
11	4745	284
12	5341	284
13	6214	284
14	7323	284

Stop Event

1×	node limit

Counts

97 → 66

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(*.f64 y x)
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (*.f64 y x))
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 y x) (.f64 1/120 (*.f64 y (pow.f64 x 5)))))
(+.f64 (.f64 -1/6 (.f64 y (pow.f64 x 3))) (+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 7))) (+.f64 (.f64 y x) (.f64 1/120 (*.f64 y (pow.f64 x 5))))))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))
(*.f64 y (sin.f64 x))

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
✓	0.4b	(*.f64 1/6 (sin.f64 x))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series5.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
1.0ms	x	@	inf	(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
1.0ms	x	@	0	(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
1.0ms	y	@	inf	(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
1.0ms	y	@	0	(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

741×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
667×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	162	18
2	1905	18

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(*.f64 1/6 (sin.f64 x))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/6 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (sin.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 (*.f64 y y) (sin.f64 x)) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (*.f64 y y) (sin.f64 x)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) (sin.f64 x)) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 y y) (sin.f64 x)) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 (*.f64 1/6 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/36 (pow.f64 (sin.f64 x) 2)) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (sin.f64 x)) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) (sin.f64 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 1/6 (sin.f64 x)) 3) (pow.f64 (*.f64 y y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) (pow.f64 (*.f64 1/6 (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 y y) (sin.f64 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 y y) (sin.f64 x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 y y) (sin.f64 x)) 1/6)))))))

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1515×	`fma-def_binary64`
1196×	`distribute-lft-out_binary64`
1076×	`unswap-sqr_binary64`
410×	`*-commutative_binary64`
216×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	416
1	116	416
2	334	394
3	1126	380
4	2552	380
5	3204	380
6	3271	380
7	3359	380
8	3463	380
9	3586	380
10	6662	380

Stop Event

1×	node limit

Counts

52 → 41

Calls

Call 1

Inputs
(*.f64 1/6 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 1/6 x))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/720 (pow.f64 x 5)) (.f64 -1/30240 (pow.f64 x 7)))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -1/30240 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5))))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))

Outputs
(*.f64 1/6 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 1/6 x))
(fma.f64 -1/36 (pow.f64 x 3) (*.f64 1/6 x))
(fma.f64 1/6 x (*.f64 -1/36 (pow.f64 x 3)))
(.f64 x (fma.f64 -1/36 (.f64 x x) 1/6))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/6 x (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/6 x)))
(fma.f64 1/6 x (fma.f64 -1/36 (pow.f64 x 3) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/720 (pow.f64 x 5)) (.f64 -1/30240 (pow.f64 x 7)))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/6 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/30240 (pow.f64 x 7)))))
(fma.f64 1/6 x (fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/30240 (pow.f64 x 7)))))
(fma.f64 1/720 (pow.f64 x 5) (fma.f64 -1/30240 (pow.f64 x 7) (.f64 x (fma.f64 -1/36 (.f64 x x) 1/6))))
(fma.f64 1/720 (pow.f64 x 5) (fma.f64 -1/30240 (pow.f64 x 7) (fma.f64 1/6 x (*.f64 -1/36 (pow.f64 x 3)))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 x (.f64 1/6 (*.f64 y y)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (.f64 (.f64 -1/36 (*.f64 y y)) (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x (.f64 y y)) (.f64 (pow.f64 x 3) (.f64 -1/36 (*.f64 y y))))
(.f64 (.f64 y y) (fma.f64 1/6 x (*.f64 -1/36 (pow.f64 x 3))))
(.f64 (.f64 x (fma.f64 -1/36 (.f64 x x) 1/6)) (.f64 y y))
(.f64 (fma.f64 1/6 x (.f64 -1/36 (pow.f64 x 3))) (*.f64 y y))
(.f64 x (.f64 (.f64 y y) (fma.f64 -1/36 (.f64 x x) 1/6)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5)))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 -1/36 (.f64 (pow.f64 x 3) (.f64 y y)) (.f64 1/720 (.f64 (pow.f64 x 5) (*.f64 y y)))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 1/720 (.f64 (pow.f64 x 5) (.f64 y y)) (.f64 (pow.f64 x 3) (.f64 -1/36 (*.f64 y y)))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (.f64 (.f64 y y) (fma.f64 -1/36 (pow.f64 x 3) (*.f64 1/720 (pow.f64 x 5)))))
(.f64 (.f64 y y) (fma.f64 1/6 x (fma.f64 -1/36 (pow.f64 x 3) (*.f64 1/720 (pow.f64 x 5)))))
(.f64 (fma.f64 1/6 x (fma.f64 -1/36 (pow.f64 x 3) (.f64 1/720 (pow.f64 x 5)))) (*.f64 y y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -1/30240 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5))))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 -1/36 (.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -1/30240 (.f64 (pow.f64 x 7) (.f64 y y)) (.f64 1/720 (.f64 (pow.f64 x 5) (*.f64 y y))))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 -1/36 (.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 1/720 (.f64 (pow.f64 x 5) (.f64 y y)) (.f64 -1/30240 (.f64 (pow.f64 x 7) (*.f64 y y))))))
(+.f64 (.f64 (.f64 y y) (fma.f64 1/6 x (.f64 -1/36 (pow.f64 x 3)))) (.f64 (.f64 y y) (fma.f64 1/720 (pow.f64 x 5) (.f64 -1/30240 (pow.f64 x 7)))))
(.f64 (.f64 y y) (fma.f64 1/720 (pow.f64 x 5) (fma.f64 -1/30240 (pow.f64 x 7) (.f64 x (fma.f64 -1/36 (.f64 x x) 1/6)))))
(.f64 (fma.f64 1/720 (pow.f64 x 5) (fma.f64 -1/30240 (pow.f64 x 7) (.f64 x (fma.f64 -1/36 (.f64 x x) 1/6)))) (.f64 y y))
(.f64 (fma.f64 1/720 (pow.f64 x 5) (fma.f64 -1/30240 (pow.f64 x 7) (fma.f64 1/6 x (.f64 -1/36 (pow.f64 x 3))))) (*.f64 y y))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (*.f64 y y)) 1))
✓	0.0b	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))
✓	0.1b	(.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (*.f64 y y)))
	0.2b	(.f64 1/6 (.f64 y y))

Compiler

Compiled 92 to 49 computations (46.7% saved)

series9.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))
1.0ms	x	@	0	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))
1.0ms	x	@	-inf	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))
1.0ms	y	@	inf	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))
1.0ms	y	@	0	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))

rewrite147.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`log-prod_binary64`
391×	`fma-def_binary64`
360×	`fma-neg_binary64`
345×	`pow2_binary64`
239×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	291	28
2	4075	28

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

Inputs

(*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y)))

(*.f64 (sin.f64 x) (/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1)))

(/.f64 (-.f64 (*.f64 (*.f64 1/6 (*.f64 y y)) (*.f64 1/6 (*.f64 y y))) 1) (-.f64 (*.f64 1/6 (*.f64 y y)) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/36 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 1/36 (pow.f64 y 4) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 y y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/46656 (pow.f64 (pow.f64 y 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/1296 (pow.f64 (pow.f64 y 4) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/36) (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/36 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/46656 (pow.f64 (pow.f64 y 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/36 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/36 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/36 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 y y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/36 (pow.f64 y 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 1/36 (pow.f64 y 4) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 1/36 (pow.f64 y 4) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) 2) (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) 1)) -1)))))

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1/36 (pow.f64 y 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (*.f64 y y) 1/36)) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 1/36 (/.f64 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) -1)))) (sqrt.f64 (*.f64 1/36 (/.f64 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) -1)))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/6 (*.f64 y y)) 1) (/.f64 (*.f64 1/6 (*.f64 y y)) (fma.f64 1/6 (*.f64 y y) -1)) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 2) 1) (/.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) (fma.f64 1/6 (*.f64 y y) -1)) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (*.f64 y y) 1/36) 1) (/.f64 (*.f64 y y) (fma.f64 1/6 (*.f64 y y) -1)) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2)) (/.f64 (*.f64 (pow.f64 y 4) 1/6) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/6 (*.f64 y y)) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2)) (/.f64 (*.f64 1/6 (*.f64 y y)) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2)) (/.f64 (*.f64 1/36 (pow.f64 y 4)) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/36 (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2)) (/.f64 (pow.f64 y 4) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 2) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2)) (/.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (*.f64 y y) 1/36) (pow.f64 (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1)) 2)) (/.f64 (*.f64 y y) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/6 (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (/.f64 (*.f64 (pow.f64 y 4) 1/6) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/6 (*.f64 y y)) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (/.f64 (*.f64 1/6 (*.f64 y y)) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (/.f64 (*.f64 1/36 (pow.f64 y 4)) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/36 (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (/.f64 (pow.f64 y 4) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 2) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (/.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (*.f64 y y) 1/36) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (/.f64 (*.f64 y y) (sqrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/36 (pow.f64 y 4)) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) 1) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 1/36 (pow.f64 y 4)) (fma.f64 1/216 (pow.f64 (*.f64 y y) 3) -1)) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)) (neg.f64 (/.f64 1 (fma.f64 1/6 (*.f64 y y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/6 (cbrt.f64 (pow.f64 y 4))) (pow.f64 (cbrt.f64 y) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 y) 1) y 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 1/6 y) (sqrt.f64 y)) (sqrt.f64 y) 1)))))

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

714×	`associate-l_binary64`
672×	`associate-r_binary64`
587×	`fma-neg_binary64`
510×	`associate-/l*_binary64`
433×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	805
1	114	749
2	328	745
3	1313	674
4	7229	674

Stop Event

1×	node limit

Counts

190 → 163

Calls

Call 1

Inputs
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) x) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) x) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1)) (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 3)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) x) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 3)) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1))) (.f64 1/120 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 5)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 7)) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) x) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 3)) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1))) (.f64 1/120 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 5)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))))))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(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 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (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 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (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 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))

Outputs
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(*.f64 1/36 (pow.f64 y 4))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) x) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) x))
(.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) x)
(.f64 (/.f64 x (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 x (fma.f64 1/6 (.f64 y y) -1)))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) x) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1)) (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 3)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))))
(+.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (.f64 y y) -1) x)) (.f64 -1/6 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (pow.f64 x 3)))))
(fma.f64 -1/6 (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) (pow.f64 x 3)) (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) x))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 x 3) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1)) (.f64 (/.f64 x (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1)))
(.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) x) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 3)) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1))) (.f64 1/120 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 5)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1)))))
(+.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (.f64 y y) -1) x)) (fma.f64 -1/6 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (.f64 y y) -1) (pow.f64 x 3))) (.f64 1/120 (/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (pow.f64 x 5)) (fma.f64 1/6 (*.f64 y y) -1)))))
(+.f64 (fma.f64 -1/6 (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) (pow.f64 x 3)) (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) x)) (.f64 1/120 (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (*.f64 y y) -1)) (pow.f64 x 5))))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 x 3) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) x (.f64 (/.f64 1/120 (fma.f64 1/6 (.f64 y y) -1)) (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (pow.f64 x 5)))))
(fma.f64 (/.f64 (+.f64 -1/120 (.f64 (pow.f64 y 4) 1/4320)) (fma.f64 1/6 (.f64 y y) -1)) (pow.f64 x 5) (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 7)) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1))) (+.f64 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) x) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1)) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 3)) (-.f64 (.f64 1/6 (pow.f64 y 2)) 1))) (.f64 1/120 (/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (pow.f64 x 5)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))))))
(fma.f64 -1/5040 (/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (pow.f64 x 7)) (fma.f64 1/6 (.f64 y y) -1)) (+.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (.f64 y y) -1) x)) (fma.f64 -1/6 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (.f64 y y) -1) (pow.f64 x 3))) (.f64 1/120 (/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (pow.f64 x 5)) (fma.f64 1/6 (*.f64 y y) -1))))))
(fma.f64 -1/5040 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (.f64 y y) -1) (pow.f64 x 7))) (+.f64 (fma.f64 -1/6 (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) (pow.f64 x 3)) (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) x)) (.f64 1/120 (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) (pow.f64 x 5)))))
(fma.f64 -1/5040 (.f64 (/.f64 (pow.f64 x 7) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 -1/6 (.f64 (/.f64 (pow.f64 x 3) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) x (.f64 (/.f64 1/120 (fma.f64 1/6 (.f64 y y) -1)) (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (pow.f64 x 5))))))
(+.f64 (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) (+.f64 x (.f64 1/120 (pow.f64 x 5)))) (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (sin.f64 x)) (fma.f64 1/6 (.f64 y y) -1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (sin.f64 x)) (fma.f64 1/6 (.f64 y y) -1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (sin.f64 x)) (fma.f64 1/6 (.f64 y y) -1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (sin.f64 x)) (fma.f64 1/6 (.f64 y y) -1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (sin.f64 x)) (fma.f64 1/6 (.f64 y y) -1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (sin.f64 x)) (fma.f64 1/6 (.f64 y y) -1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (sin.f64 x)) (fma.f64 1/6 (.f64 y y) -1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (sin.f64 x)) (fma.f64 1/6 (.f64 y y) -1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (fma.f64 1/6 (*.f64 y y) -1) (sin.f64 x)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (/.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) -1)))
(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 (*.f64 y y) (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 y (.f64 (*.f64 y (sin.f64 x)) 1/6))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 y (.f64 (*.f64 y (sin.f64 x)) 1/6))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 y 1/6))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(*.f64 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(.f64 y (.f64 y 1/6))
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)

eval320.0ms (3.3%)

Compiler: Compiled 9515 to 5837 computations (38.7% saved)

prune138.0ms (1.4%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	497	10	507
Fresh	1	0	1
Picked	0	1	1
Done	2	5	7
Total	500	16	516

Error

Counts

516 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.8b	(.f64 x (.f64 1/6 (*.f64 y y)))
	61.2b	(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
✓	0.5b	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))
✓	0.5b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
	60.5b	(.f64 y (.f64 (*.f64 y (sin.f64 x)) 1/6))
▶	1.2b	(.f64 y (.f64 (sin.f64 x) (/.f64 1 y)))
✓	13.7b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
	60.8b	(.f64 (.f64 y y) (*.f64 1/6 x))
▶	30.8b	(-.f64 (+.f64 1 (sin.f64 x)) 1)
	31.2b	x
	44.9b	(/.f64 (*.f64 y x) y)
▶	44.9b	(/.f64 1 (/.f64 y (*.f64 y x)))
▶	31.6b	(/.f64 y (/.f64 y x))
✓	31.3b	(*.f64 (sinh.f64 y) (/.f64 x y))
✓	0.9b	(sin.f64 x)
✓	31.7b	(*.f64 y (/.f64 x y))

Compiler

Compiled 229 to 156 computations (31.9% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 (sin.f64 x) (/.f64 1 y)))
✓	0.3b	(*.f64 (sin.f64 x) (/.f64 1 y))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
700×	`add-log-exp_binary64`
700×	`log1p-expm1-u_binary64`
700×	`expm1-log1p-u_binary64`
684×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	161	15
2	1970	15

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1703×	`fma-def_binary64`
640×	`associate-/r/_binary64`
624×	`unswap-sqr_binary64`
438×	`associate-/l/_binary64`
348×	`sqr-pow_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	35	306
1	89	304
2	212	302
3	520	302
4	1076	302
5	3014	302
6	4658	293
7	5614	293
8	5780	293
9	6029	293
10	6344	293
11	7899	293

Stop Event

1×	node limit

Counts

88 → 55

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)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.8b	(/.f64 y (/.f64 y x))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

560×	`pow1_binary64`
524×	`add-log-exp_binary64`
524×	`log1p-expm1-u_binary64`
524×	`expm1-log1p-u_binary64`
511×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	111	1
2	1706	1

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

59 → 36

Calls

Call 1

Inputs
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
x
x
x
x
x
x
x
x
x
x
x
x
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 1/6 (.f64 y y))
✓	7.0b	(.f64 x (.f64 1/6 (*.f64 y y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (.f64 1/6 (*.f64 y y)))
1.0ms	x	@	inf	(.f64 x (.f64 1/6 (*.f64 y y)))
1.0ms	y	@	inf	(.f64 x (.f64 1/6 (*.f64 y y)))
1.0ms	y	@	0	(.f64 x (.f64 1/6 (*.f64 y y)))
0.0ms	x	@	-inf	(.f64 x (.f64 1/6 (*.f64 y y)))

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`pow1_binary64`
595×	`add-log-exp_binary64`
595×	`log1p-expm1-u_binary64`
595×	`expm1-log1p-u_binary64`
582×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	143	10
2	1672	10

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 1/6 (*.f64 y y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 1/6 (*.f64 y y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 1/6 (*.f64 y y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 1/6 (*.f64 y y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 1/6 (*.f64 y y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 x 1/6)) y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 1/36 (pow.f64 y 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (*.f64 y y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 1/6 (*.f64 y y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 1/6 (*.f64 y y)))))))))

simplify175.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2020×	`unswap-sqr_binary64`
1080×	`sqr-pow_binary64`
633×	`fabs-mul_binary64`
612×	`pow-sqr_binary64`
610×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	17	240
2	37	240
3	83	240
4	224	240
5	759	240
6	1010	240
7	1424	240
8	1524	240
9	1657	240
10	1826	240
11	2069	240
12	2382	240
13	2754	240
14	3213	240
15	3800	240
16	4510	240
17	5368	240
18	5790	240
19	6104	240
20	6410	240
21	6486	240
22	6522	240

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 y (*.f64 y x)))
✓	13.8b	(/.f64 y (*.f64 y x))

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (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	x	@	inf	(/.f64 1 (/.f64 y (*.f64 y x)))
0.0ms	y	@	inf	(/.f64 y (*.f64 y x))

rewrite58.0ms (0.6%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 1 (sin.f64 x))
✓	2.9b	(-.f64 (+.f64 1 (sin.f64 x)) 1)

Compiler

Compiled 16 to 10 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(-.f64 (+.f64 1 (sin.f64 x)) 1)
0.0ms	x	@	0	(+.f64 1 (sin.f64 x))
0.0ms	x	@	inf	(-.f64 (+.f64 1 (sin.f64 x)) 1)
0.0ms	x	@	inf	(+.f64 1 (sin.f64 x))
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (sin.f64 x)) 1)

rewrite86.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
608×	`add-log-exp_binary64`
608×	`log1p-expm1-u_binary64`
608×	`expm1-log1p-u_binary64`
598×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	134	9
2	1889	9

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(+.f64 1 (sin.f64 x))

Outputs

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

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

simplify148.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

675×	`sqr-pow_binary64`
664×	`fma-def_binary64`
641×	`cube-prod_binary64`
624×	`unswap-sqr_binary64`
521×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	104
1	73	104
2	167	104
3	417	104
4	728	104
5	1517	104
6	2253	104
7	3229	104
8	3386	104
9	3633	104
10	3948	104
11	4429	104
12	5108	104
13	6003	104
14	6650	104
15	7157	104
16	7562	104
17	7943	104

Stop Event

1×	node limit

Counts

88 → 86

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
1
(+.f64 1 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 x 5)) x)))

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

eval101.0ms (1%)

Compiler: Compiled 3095 to 1805 computations (41.7% saved)

prune81.0ms (0.8%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	295	11	306
Fresh	1	4	5
Picked	0	1	1
Done	3	7	10
Total	299	23	322

Error

Counts

322 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	31.2b	x
	61.1b	(-.f64 1 1)
✓	60.8b	(.f64 x (.f64 1/6 (*.f64 y y)))
	30.9b	(+.f64 (+.f64 (sin.f64 x) -1) 1)
✓	0.5b	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))
✓	0.5b	(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
	60.5b	(.f64 y (.f64 (*.f64 y (sin.f64 x)) 1/6))
	31.3b	(/.f64 1 (/.f64 1 x))
	60.8b	(.f64 y (.f64 y (*.f64 1/6 x)))
	44.9b	(.f64 (/.f64 1 y) (.f64 y x))
✓	13.7b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
	60.8b	(.f64 (.f64 y y) (*.f64 1/6 x))
✓	30.8b	(-.f64 (+.f64 1 (sin.f64 x)) 1)
	60.9b	(-.f64 (+.f64 x 1) 1)
	45.9b	(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
	45.0b	(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
	44.9b	(/.f64 (*.f64 y x) y)
✓	44.9b	(/.f64 1 (/.f64 y (*.f64 y x)))
	31.7b	(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))
✓	31.3b	(*.f64 (sinh.f64 y) (/.f64 x y))
✓	0.9b	(sin.f64 x)
	31.3b	(.f64 (.f64 (/.f64 1 y) y) x)
	31.8b	(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))

Compiler

Compiled 212 to 151 computations (28.8% saved)

regimes165.0ms (1.7%)

Counts

34 → 1

Calls

Call 1

Inputs
x
x
(-.f64 1 1)
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(*.f64 y (/.f64 x y))
(.f64 y (.f64 y (*.f64 1/6 x)))
(.f64 (/.f64 1 y) (.f64 y x))
(.f64 (.f64 (/.f64 1 y) y) x)
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 1/6 x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
(sin.f64 x)
(+.f64 (+.f64 (sin.f64 x) -1) 1)
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(/.f64 (*.f64 (sin.f64 x) y) y)
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 y (.f64 (*.f64 y (sin.f64 x)) 1/6))
(.f64 y (.f64 (sin.f64 x) (/.f64 1 y)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))

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

Calls

5 calls:

56.0ms	y
50.0ms	(sin.f64 x)
21.0ms	x
18.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms	(/.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 265 to 136 computations (48.7% saved)

regimes236.0ms (2.4%)

Counts

32 → 1

Calls

Call 1

Inputs
x
x
(-.f64 1 1)
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(*.f64 y (/.f64 x y))
(.f64 y (.f64 y (*.f64 1/6 x)))
(.f64 (/.f64 1 y) (.f64 y x))
(.f64 (.f64 (/.f64 1 y) y) x)
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 1/6 x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
(sin.f64 x)
(+.f64 (+.f64 (sin.f64 x) -1) 1)
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(/.f64 (*.f64 (sin.f64 x) y) y)
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 y (.f64 (*.f64 y (sin.f64 x)) 1/6))
(.f64 y (.f64 (sin.f64 x) (/.f64 1 y)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))

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

Calls

3 calls:

194.0ms	x
17.0ms	(sin.f64 x)
16.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`(sin.f64 x)`

Compiler

Compiled 234 to 120 computations (48.7% saved)

regimes66.0ms (0.7%)

Counts

29 → 1

Calls

Call 1

Inputs
x
x
(-.f64 1 1)
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(*.f64 y (/.f64 x y))
(.f64 y (.f64 y (*.f64 1/6 x)))
(.f64 (/.f64 1 y) (.f64 y x))
(.f64 (.f64 (/.f64 1 y) y) x)
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 1/6 x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
(sin.f64 x)
(+.f64 (+.f64 (sin.f64 x) -1) 1)
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(/.f64 (*.f64 (sin.f64 x) y) y)
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 y (.f64 (*.f64 y (sin.f64 x)) 1/6))
(.f64 y (.f64 (sin.f64 x) (/.f64 1 y)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y))) 1) (-.f64 (.f64 1/6 (.f64 y y)) 1)))

Outputs
(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))

Calls

3 calls:

25.0ms	y
17.0ms	(sin.f64 x)
16.0ms	x

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`(sin.f64 x)`

Compiler

Compiled 213 to 114 computations (46.5% saved)

regimes90.0ms (0.9%)

Counts

27 → 1

Calls

Call 1

Inputs
x
x
(-.f64 1 1)
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(*.f64 y (/.f64 x y))
(.f64 y (.f64 y (*.f64 1/6 x)))
(.f64 (/.f64 1 y) (.f64 y x))
(.f64 (.f64 (/.f64 1 y) y) x)
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 1/6 x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)
(sin.f64 x)
(+.f64 (+.f64 (sin.f64 x) -1) 1)
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(/.f64 (*.f64 (sin.f64 x) y) y)
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 y (.f64 (*.f64 y (sin.f64 x)) 1/6))
(.f64 y (.f64 (sin.f64 x) (/.f64 1 y)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))

Outputs
(sin.f64 x)

Calls

3 calls:

51.0ms	x
16.0ms	(sin.f64 x)
16.0ms	y

Results

Error	Segments	Branch
0.9b	1	`x`
0.9b	1	`y`
0.9b	1	`(sin.f64 x)`

Compiler

Compiled 179 to 96 computations (46.4% saved)

regimes29.0ms (0.3%)

Accuracy

Total -30.5b remaining (-97.7%)

Threshold costs -30.5b (-97.7%)

Counts

19 → 1

Calls

Call 1

Inputs
x
x
(-.f64 1 1)
(/.f64 1 (/.f64 1 x))
(-.f64 (+.f64 x 1) 1)
(/.f64 (*.f64 y x) y)
(/.f64 y (/.f64 y x))
(*.f64 y (/.f64 x y))
(.f64 y (.f64 y (*.f64 1/6 x)))
(.f64 (/.f64 1 y) (.f64 y x))
(.f64 (.f64 (/.f64 1 y) y) x)
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 (.f64 y y) (*.f64 1/6 x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 1 (.f64 (/.f64 1 (.f64 y x)) y))
(*.f64 (/.f64 1 y) (/.f64 y (/.f64 1 x)))
(*.f64 (neg.f64 y) (/.f64 1 (/.f64 (neg.f64 y) x)))
(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
(-.f64 (+.f64 1 (*.f64 y (/.f64 x y))) 1)

Outputs
x

Calls

2 calls:

11.0ms	x
10.0ms	y

Results

Error	Segments	Branch
31.2b	1	`x`
31.2b	1	`y`

Compiler

Compiled 125 to 69 computations (44.8% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	21	41

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
(sin.f64 x)
x

Outputs
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
(.f64 (sin.f64 x) (+.f64 (.f64 1/6 (*.f64 y y)) 1))
(sin.f64 x)
x

Compiler

Compiled 37 to 26 computations (29.7% saved)

soundness0.0ms (0%)

end35.0ms (0.4%)

Compiler: Compiled 29 to 14 computations (51.7% saved)