Details

analyze172.0ms (3.4%)

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)

sample3.2s (62.7%)

Results

900.0ms	2109×	body	1024	valid
825.0ms	1969×	body	1024	infinite
669.0ms	5143×	body	256	valid
288.0ms	2070×	body	256	infinite
239.0ms	995×	body	512	valid
233.0ms	1016×	body	512	infinite
7.0ms	9×	body	2048	valid

Bogosity

preprocess50.0ms (1%)

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)

simplify38.0ms (0.8%)

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 → 3

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 23 to 10 computations (56.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	1	4

Error

0.0b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series12.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

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

rewrite65.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
856×	`add-log-exp_binary64`
855×	`log1p-expm1-u_binary64`
855×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	154	20
2	2240	20

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

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

Outputs

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

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

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
393×	`log-prod_binary64`
252×	`cube-prod_binary64`
213×	`distribute-rgt-in_binary64`
206×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	2397
1	704	1811
2	2976	1614

Stop Event

1×	node limit

Counts

142 → 163

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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))
(-.f64 (+.f64 1 (/.f64 y (sinh.f64 y))) 1)
(*.f64 y (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 y (sinh.f64 y)) 1)
(*.f64 1 (/.f64 y (sinh.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sinh.f64 y))))
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (sinh.f64 y)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 y (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sinh.f64 y))))
(.f64 (/.f64 y (.f64 2 (sinh.f64 y))) 2)
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(-.f64 (+.f64 1 (sinh.f64 y)) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (/.f64 (exp.f64 (neg.f64 y)) 2))
(*.f64 (sinh.f64 y) 1)
(*.f64 1 (sinh.f64 y))
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
(pow.f64 (sinh.f64 y) 1)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
(log.f64 (exp.f64 (sinh.f64 y)))
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(exp.f64 (log.f64 (sinh.f64 y)))
(-.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y) 1)
(.f64 1 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) y) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) y) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sin.f64 x) y) 1) (sinh.f64 y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
(pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))

Outputs
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 (.f64 -1/6 (pow.f64 y 2)) (.f64 7/360 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 -31/15120 (pow.f64 y 6)) (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 7/360 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 -31/15120 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (.f64 7/360 (pow.f64 y 4)))))
(fma.f64 -31/15120 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 7/360 (pow.f64 y 4) 1)))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (sinh.f64 y))
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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(.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 (.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 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)) (.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 -1/12 (/.f64 y (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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))))
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(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(exp.f64 (log.f64 (sinh.f64 y)))
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(-.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 1)
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y) 1)
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 1 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 y) (/.f64 (sin.f64 x) (/.f64 1 (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) y) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) y) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 y (sinh.f64 y))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (cbrt.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) y)))
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) y))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) 1) (sinh.f64 y))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 1)
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 3)
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 2)
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1)
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (/.f64 y (sinh.f64 y)))))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 2))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 3))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)))
(+.f64 1 (-.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1))
(+.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)) 0)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

eval37.0ms (0.7%)

Compiler: Compiled 2442 to 1031 computations (57.8% saved)

prune21.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	160	4	164

Error

Counts

164 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.5b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	0.5b	(.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))
▶	0.8b	(sin.f64 x)

Compiler

Compiled 36 to 26 computations (27.8% saved)

localize3.0ms (0.1%)

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 13 computations (50% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite47.0ms (0.9%)

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	1887	21

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

Outputs

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

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

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

603×	`fma-def_binary64`
598×	`times-frac_binary64`
412×	`unswap-sqr_binary64`
357×	`log-prod_binary64`
266×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	877
1	302	874
2	1316	834
3	5236	830

Stop Event

1×	node limit

Counts

72 → 72

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)))
(+.f64 (.f64 (.f64 y (*.f64 y 1/6)) (sin.f64 x)) (sin.f64 x))
(+.f64 (.f64 (sin.f64 x) (.f64 y (*.f64 y 1/6))) (sin.f64 x))
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))) 1)
(pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1)) 1)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))) 3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/6 1)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 (.f64 y y) 1/6 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 y y) 1/6 1) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))))
(+.f64 1 (.f64 y (.f64 y 1/6)))
(+.f64 (.f64 y (.f64 y 1/6)) 1)
(+.f64 (.f64 (.f64 y (*.f64 y 1/6)) 1) 1)
(-.f64 (+.f64 1 (fma.f64 (*.f64 y y) 1/6 1)) 1)
(.f64 1 (fma.f64 (.f64 y y) 1/6 1))
(.f64 (fma.f64 (.f64 y y) 1/6 1) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 y y) 1/6 1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 y y) 1/6 1)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 y y) 1/6 1)) 2) (cbrt.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(.f64 (sqrt.f64 (fma.f64 (.f64 y y) 1/6 1)) (sqrt.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 3) 1) (+.f64 (.f64 (.f64 y (.f64 y 1/6)) (.f64 y (.f64 y 1/6))) (-.f64 1 (.f64 (.f64 y (.f64 y 1/6)) 1))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y 1/6)) (.f64 y (.f64 y 1/6))) 1) (-.f64 (.f64 y (*.f64 y 1/6)) 1))
(pow.f64 (fma.f64 (*.f64 y y) 1/6 1) 1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 y y) 1/6 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 y y) 1/6 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y y) 1/6 1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 y y) 1/6 1) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 y y) 1/6 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(exp.f64 (log.f64 (fma.f64 (*.f64 y y) 1/6 1)))

Outputs
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 x (fma.f64 1/6 (.f64 y y) 1))
(+.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 (fma.f64 y (.f64 1/6 y) 1) x (.f64 -1/6 (.f64 (pow.f64 x 3) (fma.f64 y (.f64 1/6 y) 1))))
(fma.f64 x (fma.f64 1/6 (.f64 y y) 1) (.f64 -1/6 (.f64 (pow.f64 x 3) (fma.f64 1/6 (.f64 y y) 1))))
(.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (+.f64 x (*.f64 -1/6 (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)))))
(fma.f64 1/120 (.f64 (pow.f64 x 5) (fma.f64 y (.f64 1/6 y) 1)) (fma.f64 (fma.f64 y (.f64 1/6 y) 1) x (.f64 -1/6 (.f64 (pow.f64 x 3) (fma.f64 y (.f64 1/6 y) 1)))))
(fma.f64 1/120 (.f64 (pow.f64 x 5) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 x (fma.f64 1/6 (.f64 y y) 1) (.f64 -1/6 (.f64 (pow.f64 x 3) (fma.f64 1/6 (.f64 y y) 1)))))
(fma.f64 x (fma.f64 y (.f64 1/6 y) 1) (.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(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 (.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 (pow.f64 x 5) (fma.f64 y (.f64 1/6 y) 1)) (fma.f64 (fma.f64 y (.f64 1/6 y) 1) x (fma.f64 -1/6 (.f64 (pow.f64 x 3) (fma.f64 y (.f64 1/6 y) 1)) (.f64 -1/5040 (.f64 (pow.f64 x 7) (fma.f64 y (.f64 1/6 y) 1))))))
(fma.f64 1/120 (.f64 (pow.f64 x 5) (fma.f64 1/6 (.f64 y y) 1)) (fma.f64 x (fma.f64 1/6 (.f64 y y) 1) (fma.f64 -1/6 (.f64 (pow.f64 x 3) (fma.f64 1/6 (.f64 y y) 1)) (.f64 -1/5040 (.f64 (pow.f64 x 7) (fma.f64 1/6 (.f64 y y) 1))))))
(+.f64 (.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/5040 (pow.f64 x 7)))) (.f64 (fma.f64 y (.f64 1/6 y) 1) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(+.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 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 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) (fma.f64 y (.f64 1/6 y) 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) (fma.f64 y (.f64 1/6 y) 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) (fma.f64 y (.f64 1/6 y) 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 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.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 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 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) (fma.f64 y (.f64 1/6 y) 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) (fma.f64 y (.f64 1/6 y) 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 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.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 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 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) (fma.f64 y (.f64 1/6 y) 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) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 y (*.f64 1/6 y) 1)
(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)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 y (*.f64 1/6 y) 1)
(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)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 (.f64 (.f64 y (*.f64 y 1/6)) (sin.f64 x)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 (sin.f64 x) (.f64 y (*.f64 y 1/6))) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(-.f64 (+.f64 1 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))) 1)
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1)) 1)
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1)) 3) 1/3)
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))) 3)
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))) 2)
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1)) 2))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 (*.f64 y y) 1/6 1)))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1)) 3))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 (.f64 y y) 1/6 1) 3)))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (.f64 y y) 1/6 1) 3) (pow.f64 (sin.f64 x) 3)))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 (.f64 y y) 1/6 1))))
(.f64 (sin.f64 x) (fma.f64 y (.f64 1/6 y) 1))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 1 (.f64 y (.f64 y 1/6)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 (.f64 y (.f64 y 1/6)) 1)
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(+.f64 (.f64 (.f64 y (*.f64 y 1/6)) 1) 1)
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(-.f64 (+.f64 1 (fma.f64 (*.f64 y y) 1/6 1)) 1)
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(.f64 1 (fma.f64 (.f64 y y) 1/6 1))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(.f64 (fma.f64 (.f64 y y) 1/6 1) 1)
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(.f64 (cbrt.f64 (fma.f64 (.f64 y y) 1/6 1)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 y y) 1/6 1)) 2))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 y y) 1/6 1)) 2) (cbrt.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(.f64 (sqrt.f64 (fma.f64 (.f64 y y) 1/6 1)) (sqrt.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(/.f64 (+.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 3) 1) (+.f64 (.f64 (.f64 y (.f64 y 1/6)) (.f64 y (.f64 y 1/6))) (-.f64 1 (.f64 (.f64 y (.f64 y 1/6)) 1))))
(/.f64 (+.f64 1 (pow.f64 (.f64 1/6 (.f64 y y)) 3)) (fma.f64 (.f64 1/6 (.f64 y y)) (.f64 1/6 (.f64 y y)) (-.f64 1 (.f64 1/6 (.f64 y y)))))
(/.f64 (+.f64 1 (.f64 1/216 (pow.f64 (.f64 y y) 3))) (fma.f64 y (.f64 1/6 (.f64 1/6 (pow.f64 y 3))) (+.f64 1 (.f64 (.f64 y y) -1/6))))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 y y) 3) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1)))
(/.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y 1/6)) (.f64 y (.f64 y 1/6))) 1) (-.f64 (.f64 y (*.f64 y 1/6)) 1))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(pow.f64 (fma.f64 (*.f64 y y) 1/6 1) 1)
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(pow.f64 (pow.f64 (fma.f64 (*.f64 y y) 1/6 1) 3) 1/3)
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 y y) 1/6 1)) 3)
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 y y) 1/6 1)) 2)
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 y y) 1/6 1) 2))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(log.f64 (exp.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 y y) 1/6 1) 3))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)
(exp.f64 (log.f64 (fma.f64 (*.f64 y y) 1/6 1)))
(fma.f64 y (*.f64 1/6 y) 1)
(fma.f64 1/6 (*.f64 y y) 1)

localize13.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/6 (.f64 y y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite35.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
422×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
403×	`add-log-exp_binary64`
403×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1150	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

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

simplify39.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1079×	`log-prod_binary64`
425×	`associate-l_binary64`
382×	`associate-r_binary64`
318×	`associate-+l+_binary64`
306×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	216
1	102	206
2	360	191
3	2980	191
4	6248	191

Stop Event

1×	node limit

Counts

26 → 18

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 0 (.f64 -1/6 (.f64 y y)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(-.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) 1)
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(pow.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(cbrt.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))

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 0 (.f64 -1/6 (.f64 y y)))
(.f64 -1/6 (.f64 y y))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (.f64 y y)))))
(.f64 -1/6 (.f64 y y))
(-.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) 1)
(.f64 -1/6 (.f64 y y))
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(.f64 -1/6 (.f64 y y))
(pow.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3) 1/3)
(.f64 -1/6 (.f64 y y))
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(.f64 -1/6 (.f64 y y))
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(.f64 -1/6 (.f64 y y))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(.f64 -1/6 (.f64 y y))
(log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))
(.f64 -1/6 (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 -1/6 (.f64 y y)) 3))
(.f64 -1/6 (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(.f64 -1/6 (.f64 y y))

eval27.0ms (0.5%)

Compiler: Compiled 1429 to 915 computations (36% saved)

prune12.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	90	4	94

Error

Counts

94 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	0.5b	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 y (.f64 y 1/6)) (.f64 y (.f64 y 1/6))) 1) (-.f64 (.f64 y (.f64 y 1/6)) 1)))
▶	32.1b	(.f64 x (fma.f64 y (.f64 1/6 y) 1))
✓	0.8b	(sin.f64 x)

Compiler

Compiled 49 to 35 computations (28.6% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (fma.f64 y (.f64 1/6 y) 1))
✓	0.3b	(*.f64 1/6 y)

Compiler

Compiled 23 to 15 computations (34.8% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(.f64 x (fma.f64 y (.f64 1/6 y) 1))
1.0ms	x	@	0	(.f64 x (fma.f64 y (.f64 1/6 y) 1))
1.0ms	y	@	0	(.f64 x (fma.f64 y (.f64 1/6 y) 1))
1.0ms	y	@	inf	(.f64 x (fma.f64 y (.f64 1/6 y) 1))
0.0ms	x	@	-inf	(.f64 x (fma.f64 y (.f64 1/6 y) 1))

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

678×	`pow1_binary64`
623×	`add-log-exp_binary64`
623×	`log1p-expm1-u_binary64`
623×	`expm1-log1p-u_binary64`
610×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	153	15
2	1686	15

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify38.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

692×	`log-prod_binary64`
652×	`associate-l_binary64`
547×	`associate-r_binary64`
369×	`associate-+r+_binary64`
324×	`associate-+l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	599
1	178	494
2	672	461
3	4495	461

Stop Event

1×	node limit

Counts

50 → 38

Calls

Call 1

Inputs
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
x
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(-.f64 (+.f64 1 (*.f64 1/6 y)) 1)
(pow.f64 (*.f64 1/6 y) 1)
(pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)
(sqrt.f64 (pow.f64 (*.f64 1/6 y) 2))
(log.f64 (pow.f64 (exp.f64 1/6) y))
(cbrt.f64 (pow.f64 (*.f64 1/6 y) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 y)))
(log1p.f64 (expm1.f64 (*.f64 1/6 y)))
(exp.f64 (log.f64 (*.f64 1/6 y)))
(+.f64 (.f64 (.f64 y (*.f64 1/6 y)) x) x)
(+.f64 (.f64 x (.f64 y (*.f64 1/6 y))) x)
(-.f64 (+.f64 1 (.f64 x (fma.f64 y (.f64 1/6 y) 1))) 1)
(pow.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1)) 1)
(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1))) 3)
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1))) 2)
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y (*.f64 1/6 y) 1)))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1)) 3))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y (.f64 1/6 y) 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 y (.f64 1/6 y) 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1))))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1))))
(exp.f64 (log.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1))))

Outputs
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
x
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 y (*.f64 1/6 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 y (*.f64 1/6 x)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(-.f64 (+.f64 1 (*.f64 1/6 y)) 1)
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (*.f64 1/6 y) 1)
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (pow.f64 (*.f64 1/6 y) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (cbrt.f64 (*.f64 1/6 y)) 3)
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(pow.f64 (sqrt.f64 (*.f64 1/6 y)) 2)
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(sqrt.f64 (pow.f64 (*.f64 1/6 y) 2))
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(log.f64 (pow.f64 (exp.f64 1/6) y))
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(cbrt.f64 (pow.f64 (*.f64 1/6 y) 3))
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(expm1.f64 (log1p.f64 (*.f64 1/6 y)))
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(log1p.f64 (expm1.f64 (*.f64 1/6 y)))
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(exp.f64 (log.f64 (*.f64 1/6 y)))
(+.f64 (+.f64 1 (*.f64 1/6 y)) -1)
(+.f64 (*.f64 1/6 y) 0)
(*.f64 1/6 y)
(+.f64 (.f64 (.f64 y (*.f64 1/6 y)) x) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(+.f64 (.f64 x (.f64 y (*.f64 1/6 y))) x)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(-.f64 (+.f64 1 (.f64 x (fma.f64 y (.f64 1/6 y) 1))) 1)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(pow.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1)) 1)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(pow.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1)) 3) 1/3)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(pow.f64 (cbrt.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1))) 3)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(pow.f64 (sqrt.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1))) 2)
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(sqrt.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1)) 2))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 y (*.f64 1/6 y) 1)))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(cbrt.f64 (pow.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1)) 3))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 y (.f64 1/6 y) 1) 3)))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 y (.f64 1/6 y) 1) 3) (pow.f64 x 3)))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(expm1.f64 (log1p.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(log1p.f64 (expm1.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))
(exp.f64 (log.f64 (.f64 x (fma.f64 y (.f64 1/6 y) 1))))
(.f64 (+.f64 1 (.f64 1/6 (*.f64 y y))) x)
(fma.f64 y (.f64 y (.f64 1/6 x)) x)
(.f64 x (fma.f64 y (.f64 1/6 y) 1))

localize33.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 y (.f64 y 1/6)) (.f64 y (.f64 y 1/6))) 1) (-.f64 (.f64 y (.f64 y 1/6)) 1)))
✓	0.1b	(.f64 (.f64 y (.f64 y 1/6)) (.f64 y (*.f64 y 1/6)))
✓	0.2b	(.f64 y (.f64 y 1/6))
✓	0.3b	(*.f64 y 1/6)

Compiler

Compiled 92 to 62 computations (32.6% saved)

series9.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

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

rewrite65.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`log-prod_binary64`
399×	`fma-def_binary64`
374×	`fma-neg_binary64`
350×	`pow2_binary64`
244×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	291	34
2	4101	34

Stop Event

1×	node limit

Counts

4 → 109

Calls

Call 1

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

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

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

743×	`fma-def_binary64`
563×	`distribute-rgt-in_binary64`
560×	`times-frac_binary64`
540×	`distribute-lft-in_binary64`
417×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	2416
1	694	2348
2	1997	1793

Stop Event

1×	node limit

Counts

169 → 163

Calls

Call 1

Inputs
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.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 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))))
(+.f64 0 (*.f64 y 1/6))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/6)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/6))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) 1/6))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) 1/6))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 1/6))) 1)
(pow.f64 (*.f64 y 1/6) 1)
(pow.f64 (pow.f64 (*.f64 y 1/6) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 y 1/6)) 3)
(pow.f64 (sqrt.f64 (*.f64 y 1/6)) 2)
(sqrt.f64 (.f64 (.f64 y y) 1/36))
(log.f64 (pow.f64 (exp.f64 y) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 1/6))))
(cbrt.f64 (pow.f64 (*.f64 y 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 y 1/6)))
(log1p.f64 (expm1.f64 (*.f64 y 1/6)))
(exp.f64 (log.f64 (*.f64 y 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 y 1/6)) 1))
(+.f64 0 (.f64 y (.f64 y 1/6)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 y 1/6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 y 1/6)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 y 1/6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 y 1/6)))))
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)
(pow.f64 (.f64 y (.f64 y 1/6)) 1)
(pow.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36) 1/2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 3)
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/216) 1/3)
(sqrt.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36))
(fabs.f64 (.f64 y (.f64 y 1/6)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y 1/6)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/216))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y 1/6))))
(expm1.f64 (.f64 (log1p.f64 (.f64 y (*.f64 y 1/6))) 1))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y 1/6))))
(exp.f64 (log.f64 (.f64 y (.f64 y 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y 1/6))) 1))
(fma.f64 1 (fma.f64 y (*.f64 y 1/6) 1) -1)
(fma.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1) (/.f64 1 (fma.f64 y (.f64 y 1/6) -1)) -1)
(fma.f64 (fma.f64 y (*.f64 y 1/6) 1) 1 -1)
(fma.f64 (fma.f64 y (.f64 y 1/6) 1) (.f64 (fma.f64 y (.f64 y 1/6) -1) (/.f64 1 (fma.f64 y (.f64 y 1/6) -1))) -1)
(fma.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) 2) (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) 2) (.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (/.f64 1 (fma.f64 y (.f64 y 1/6) -1))) -1)
(fma.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) -1)
(fma.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (/.f64 1 (fma.f64 y (.f64 y 1/6) -1))) -1)
(fma.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (/.f64 1 (neg.f64 (fma.f64 y (.f64 y 1/6) -1))) -1)
(fma.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) -1)) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1) -1)
(fma.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2))) (/.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) -1))) -1)
(fma.f64 (/.f64 1 (sqrt.f64 (fma.f64 y (.f64 y 1/6) -1))) (/.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1) (sqrt.f64 (fma.f64 y (*.f64 y 1/6) -1))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (fma.f64 y (*.f64 y 1/6) -1)) -1)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) 1) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (fma.f64 y (*.f64 y 1/6) -1)) -1)
(fma.f64 (/.f64 (fma.f64 y (.f64 y 1/6) 1) 1) (/.f64 (fma.f64 y (.f64 y 1/6) -1) (fma.f64 y (*.f64 y 1/6) -1)) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) 2) (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2))) (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1)) -1)
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (cbrt.f64 (fma.f64 y (.f64 y 1/6) -1))) -1)
(fma.f64 (/.f64 (fma.f64 y (.f64 y 1/6) 1) (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2))) (/.f64 (fma.f64 y (.f64 y 1/6) -1) (cbrt.f64 (fma.f64 y (.f64 y 1/6) -1))) -1)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) 2) (sqrt.f64 (fma.f64 y (.f64 y 1/6) -1))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (sqrt.f64 (fma.f64 y (.f64 y 1/6) -1))) -1)
(fma.f64 (/.f64 (fma.f64 y (.f64 y 1/6) 1) (sqrt.f64 (fma.f64 y (.f64 y 1/6) -1))) (/.f64 (fma.f64 y (.f64 y 1/6) -1) (sqrt.f64 (fma.f64 y (.f64 y 1/6) -1))) -1)
(fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (fma.f64 y (*.f64 y 1/6) 1) -1)
(fma.f64 (/.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1) (fma.f64 (pow.f64 (.f64 y y) 3) 1/216 -1)) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 (fma.f64 y (.f64 y 1/6) 1)) -1)
(+.f64 0 (.f64 (pow.f64 (.f64 y y) 2) 1/36))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36)))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36)))))
(-.f64 (fma.f64 (pow.f64 (*.f64 y y) 2) 1/36 1) 1)
(pow.f64 (.f64 y (.f64 y 1/6)) 2)
(pow.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36) 1)
(pow.f64 (pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 2) 3)
(pow.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 6) 1/3)
(sqrt.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 4))
(log.f64 (exp.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 6))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36)))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 y y) 2) 1/36)))
(exp.f64 (.f64 2 (log.f64 (.f64 y (*.f64 y 1/6)))))
(exp.f64 (.f64 (log.f64 (.f64 y (*.f64 y 1/6))) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (.f64 y (.f64 y 1/6)))) 1))
(fma.f64 1 (fma.f64 (pow.f64 (*.f64 y y) 2) 1/36 1) -1)
(fma.f64 (fma.f64 (pow.f64 (*.f64 y y) 2) 1/36 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 1)) 2) (cbrt.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 y (.f64 y 1/6))) (hypot.f64 1 (.f64 y (.f64 y 1/6))) -1)
(+.f64 0 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (.f64 y 1/6) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (.f64 y 1/6) 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (.f64 y 1/6) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (.f64 y 1/6) 1)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 1)
(/.f64 (sin.f64 x) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 1 (/.f64 (fma.f64 y (.f64 y 1/6) -1) (.f64 (sin.f64 x) (fma.f64 (pow.f64 (*.f64 y y) 2) 1/36 -1))))
(/.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (fma.f64 y (*.f64 y 1/6) -1))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1))) (neg.f64 (fma.f64 y (*.f64 y 1/6) -1)))
(/.f64 (/.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) 1) (fma.f64 y (*.f64 y 1/6) -1))
(/.f64 (/.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2))) (cbrt.f64 (fma.f64 y (.f64 y 1/6) -1)))
(/.f64 (/.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (sqrt.f64 (fma.f64 y (.f64 y 1/6) -1))) (sqrt.f64 (fma.f64 y (.f64 y 1/6) -1)))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (sin.f64 x)) (neg.f64 (fma.f64 y (*.f64 y 1/6) -1)))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1))) (neg.f64 (fma.f64 y (*.f64 y 1/6) -1)))
(pow.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 1)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 2)
(pow.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3)) 1/3)
(pow.f64 (.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (fma.f64 y (.f64 y 1/6) -1) (.f64 (sin.f64 x) (fma.f64 (pow.f64 (*.f64 y y) 2) 1/36 -1))) -1)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (*.f64 y 1/6) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 1))

Outputs
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 y)
(*.f64 1/6 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 1/6 (pow.f64 y 2))
(.f64 1/6 (.f64 y y))
(*.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 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1))
(.f64 (fma.f64 1/6 (.f64 y y) 1) x)
(+.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 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1)) (.f64 -1/6 (/.f64 (.f64 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1))))
(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 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1)))
(fma.f64 -1/6 (.f64 (fma.f64 1/6 (.f64 y y) 1) (pow.f64 x 3)) (.f64 (fma.f64 1/6 (.f64 y y) 1) x))
(+.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 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 -1/6 (/.f64 (.f64 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1)) (.f64 1/120 (/.f64 (.f64 (pow.f64 x 5) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1)))))
(+.f64 (/.f64 (.f64 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1)) (fma.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)) (/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) -1/6) (/.f64 (fma.f64 1/6 (.f64 y y) -1) (pow.f64 x 3)))))
(fma.f64 -1/6 (.f64 (fma.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)) (.f64 (fma.f64 1/6 (.f64 y y) 1) x)))
(+.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 (pow.f64 x 7) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1)) (+.f64 (/.f64 (.f64 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 -1/6 (/.f64 (.f64 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1)) (.f64 1/120 (/.f64 (.f64 (pow.f64 x 5) (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (*.f64 y y) -1))))))
(+.f64 (fma.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)) (/.f64 (.f64 (fma.f64 1/36 (pow.f64 y 4) -1) -1/6) (/.f64 (fma.f64 1/6 (.f64 y y) -1) (pow.f64 x 3)))) (fma.f64 -1/5040 (.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) (pow.f64 x 7)) (/.f64 (.f64 x (fma.f64 1/36 (pow.f64 y 4) -1)) (fma.f64 1/6 (.f64 y y) -1))))
(fma.f64 -1/5040 (.f64 (fma.f64 1/6 (.f64 y y) 1) (pow.f64 x 7)) (fma.f64 -1/6 (.f64 (fma.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)) (.f64 (fma.f64 1/6 (.f64 y y) 1) x))))
(/.f64 (.f64 (-.f64 (.f64 1/36 (pow.f64 y 4)) 1) (sin.f64 x)) (-.f64 (*.f64 1/6 (pow.f64 y 2)) 1))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.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 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.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 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.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 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.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 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.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 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.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 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.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 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.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 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
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(.f64 (/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 1/6 (.f64 y y) -1)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (.f64 y 1/6) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (.f64 y 1/6) 1)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (.f64 1/6 y) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (.f64 1/6 y) 1)))))
(.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (.f64 y y) 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (.f64 y 1/6) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (.f64 y 1/6) 1)))))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)))) 1)
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (sin.f64 x) (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 1 (/.f64 (fma.f64 y (.f64 y 1/6) -1) (.f64 (sin.f64 x) (fma.f64 (pow.f64 (*.f64 y y) 2) 1/36 -1))))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (fma.f64 y (*.f64 y 1/6) -1))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (neg.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1))) (neg.f64 (fma.f64 y (*.f64 y 1/6) -1)))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (/.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) 1) (fma.f64 y (*.f64 y 1/6) -1))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (/.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) -1) 2))) (cbrt.f64 (fma.f64 y (.f64 y 1/6) -1)))
(/.f64 (.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) -1)) (.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) -1) 2))))
(/.f64 (sin.f64 x) (/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) -1) 2)) (cbrt.f64 (fma.f64 1/6 (*.f64 y y) -1))) (fma.f64 1/36 (pow.f64 y 4) -1)))
(/.f64 (/.f64 (.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) -1)) (cbrt.f64 (fma.f64 1/6 (.f64 y y) -1))) (cbrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) -1) 2)))
(/.f64 (/.f64 (.f64 (sin.f64 x) (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (sqrt.f64 (fma.f64 y (.f64 y 1/6) -1))) (sqrt.f64 (fma.f64 y (.f64 y 1/6) -1)))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1)) (sin.f64 x)) (neg.f64 (fma.f64 y (*.f64 y 1/6) -1)))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (.f64 (sin.f64 x) (neg.f64 (fma.f64 (pow.f64 (.f64 y y) 2) 1/36 -1))) (neg.f64 (fma.f64 y (*.f64 y 1/6) -1)))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 1)
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 3) 1/3)
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 3)
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))) 2)
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3)) 1/3)
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(pow.f64 (/.f64 (fma.f64 y (.f64 y 1/6) -1) (.f64 (sin.f64 x) (fma.f64 (pow.f64 (*.f64 y y) 2) 1/36 -1))) -1)
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 2))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)))))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1)) 3))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3)))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(exp.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 y (*.f64 y 1/6) 1))) 1))
(/.f64 (sin.f64 x) (/.f64 (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)) (sin.f64 x))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))

eval186.0ms (3.7%)

Compiler: Compiled 10319 to 7254 computations (29.7% saved)

prune63.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	345	4	349
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	346	7	353

Error

Counts

353 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
▶	32.1b	(+.f64 (.f64 (.f64 y (*.f64 1/6 y)) x) x)
✓	0.5b	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 y (.f64 y 1/6)) (.f64 y (.f64 y 1/6))) 1) (-.f64 (.f64 y (.f64 y 1/6)) 1)))
▶	61.0b	(.f64 y (.f64 y (*.f64 1/6 x)))
▶	61.0b	(.f64 1/6 (.f64 (*.f64 y y) x))
✓	0.8b	(sin.f64 x)
	32.3b	x

Compiler

Compiled 71 to 49 computations (31% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/6 (.f64 (*.f64 y y) x))
✓	7.6b	(.f64 (.f64 y y) x)

Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

646×	`pow1_binary64`
597×	`add-log-exp_binary64`
597×	`log1p-expm1-u_binary64`
597×	`expm1-log1p-u_binary64`
583×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	143	17
2	1680	17

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-def_binary64`
601×	`log-prod_binary64`
507×	`fma-neg_binary64`
418×	`associate-*l/_binary64`
408×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	595
1	161	595
2	712	595
3	2670	595
4	7374	595

Stop Event

1×	node limit

Counts

70 → 29

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.f64 (pow.f64 y 2) x)
(*.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))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 1 (.f64 (.f64 y y) x)) 1)
(pow.f64 (.f64 (.f64 y y) x) 1)
(pow.f64 (pow.f64 (.f64 (.f64 y y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 y y) x)) 3)
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(cbrt.f64 (pow.f64 (.f64 (.f64 y y) x) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 y y) x)))
(log1p.f64 (expm1.f64 (.f64 (.f64 y y) x)))
(exp.f64 (log.f64 (.f64 (.f64 y y) x)))
(-.f64 (+.f64 1 (.f64 (.f64 y y) (*.f64 x 1/6))) 1)
(pow.f64 (.f64 (.f64 y y) (*.f64 x 1/6)) 1)
(pow.f64 (pow.f64 (.f64 (.f64 y y) (*.f64 x 1/6)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 y y) (*.f64 x 1/6))) 3)
(pow.f64 (.f64 (sqrt.f64 1/6) (.f64 y (sqrt.f64 x))) 2)
(sqrt.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (*.f64 x x))))
(log.f64 (pow.f64 (exp.f64 1/6) (.f64 (.f64 y y) x)))
(cbrt.f64 (pow.f64 (.f64 (.f64 y y) (*.f64 x 1/6)) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 y y) (*.f64 x 1/6))))
(log1p.f64 (expm1.f64 (.f64 (.f64 y y) (*.f64 x 1/6))))
(exp.f64 (log.f64 (.f64 (.f64 y y) (*.f64 x 1/6))))

Outputs
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(*.f64 (pow.f64 y 2) x)
(.f64 y (.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(-.f64 (+.f64 1 (.f64 (.f64 y y) x)) 1)
(.f64 y (.f64 y x))
(pow.f64 (.f64 (.f64 y y) x) 1)
(.f64 y (.f64 y x))
(pow.f64 (pow.f64 (.f64 (.f64 y y) x) 3) 1/3)
(.f64 y (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 (.f64 y y) x)) 3)
(.f64 y (.f64 y x))
(pow.f64 (*.f64 y (sqrt.f64 x)) 2)
(.f64 y (.f64 y x))
(sqrt.f64 (.f64 (pow.f64 y 4) (.f64 x x)))
(.f64 y (.f64 y x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 y y)))
(.f64 y (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 (.f64 y y) x) 3))
(.f64 y (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 (.f64 y y) x)))
(.f64 y (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 (.f64 y y) x)))
(.f64 y (.f64 y x))
(exp.f64 (log.f64 (.f64 (.f64 y y) x)))
(.f64 y (.f64 y x))
(-.f64 (+.f64 1 (.f64 (.f64 y y) (*.f64 x 1/6))) 1)
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(pow.f64 (.f64 (.f64 y y) (*.f64 x 1/6)) 1)
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(pow.f64 (pow.f64 (.f64 (.f64 y y) (*.f64 x 1/6)) 3) 1/3)
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(pow.f64 (cbrt.f64 (.f64 (.f64 y y) (*.f64 x 1/6))) 3)
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(pow.f64 (.f64 (sqrt.f64 1/6) (.f64 y (sqrt.f64 x))) 2)
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(sqrt.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (*.f64 x x))))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(log.f64 (pow.f64 (exp.f64 1/6) (.f64 (.f64 y y) x)))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(cbrt.f64 (pow.f64 (.f64 (.f64 y y) (*.f64 x 1/6)) 3))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(expm1.f64 (log1p.f64 (.f64 (.f64 y y) (*.f64 x 1/6))))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(log1p.f64 (expm1.f64 (.f64 (.f64 y y) (*.f64 x 1/6))))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))
(exp.f64 (log.f64 (.f64 (.f64 y y) (*.f64 x 1/6))))
(.f64 (.f64 y y) (*.f64 x 1/6))
(.f64 y (.f64 (*.f64 y x) 1/6))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 y (*.f64 x 1/6)))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (.f64 y (*.f64 1/6 x)))
✓	0.2b	(.f64 y (.f64 1/6 x))
✓	0.3b	(*.f64 1/6 x)

Compiler

Compiled 20 to 12 computations (40% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

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

rewrite45.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

662×	`pow1_binary64`
610×	`add-log-exp_binary64`
610×	`log1p-expm1-u_binary64`
610×	`expm1-log1p-u_binary64`
598×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	142	21
2	1674	21

Stop Event

1×	node limit

Counts

3 → 37

Calls

Call 1

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

Outputs

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

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

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

simplify52.0ms (1%)

Algorithm

1×	egg-herbie

Rules

774×	`log-prod_binary64`
656×	`unswap-sqr_binary64`
640×	`fma-neg_binary64`
207×	`fabs-mul_binary64`
203×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	739
1	220	706
2	969	673
3	3999	673
4	7537	673

Stop Event

1×	node limit

Counts

85 → 44

Calls

Call 1

Inputs
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y 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))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
(pow.f64 (*.f64 1/6 x) 1)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(sqrt.f64 (pow.f64 (*.f64 1/6 x) 2))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(exp.f64 (log.f64 (*.f64 1/6 x)))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x y))) 1)
(pow.f64 (.f64 1/6 (.f64 x y)) 1)
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x y))) 3)
(pow.f64 (sqrt.f64 (.f64 1/6 (.f64 x y))) 2)
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 x)))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x y)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 y 3)))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 1/6 x) 3)))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x y))))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x y))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x y))))
(-.f64 (+.f64 1 (.f64 (.f64 (*.f64 y y) 1/6) x)) 1)
(pow.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) 1)
(pow.f64 (pow.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 y y) 1/6) x)) 3)
(pow.f64 (.f64 y (sqrt.f64 (.f64 1/6 x))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) 2))
(log.f64 (pow.f64 (exp.f64 (.f64 y y)) (.f64 1/6 x)))
(cbrt.f64 (pow.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) 3))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 1/6 (*.f64 x y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (*.f64 x y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (*.f64 y y) 1/6) x)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (*.f64 y y) 1/6) x)))
(exp.f64 (log.f64 (.f64 (.f64 (*.f64 y y) 1/6) x)))

Outputs
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(-.f64 (+.f64 1 (*.f64 1/6 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (*.f64 1/6 x) 1)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(sqrt.f64 (pow.f64 (*.f64 1/6 x) 2))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(log.f64 (pow.f64 (exp.f64 1/6) x))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(exp.f64 (log.f64 (*.f64 1/6 x)))
(+.f64 1 (-.f64 (*.f64 1/6 x) 1))
(+.f64 (*.f64 1/6 x) 0)
(*.f64 1/6 x)
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x y))) 1)
(.f64 1/6 (.f64 y x))
(pow.f64 (.f64 1/6 (.f64 x y)) 1)
(.f64 1/6 (.f64 y x))
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x y)) 3) 1/3)
(.f64 1/6 (.f64 y x))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x y))) 3)
(.f64 1/6 (.f64 y x))
(pow.f64 (sqrt.f64 (.f64 1/6 (.f64 x y))) 2)
(.f64 1/6 (.f64 y x))
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 x y)) 2))
(.f64 1/6 (.f64 y x))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 x)))
(.f64 1/6 (.f64 y x))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x y)) 3))
(.f64 1/6 (.f64 y x))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 y 3)))
(.f64 1/6 (.f64 y x))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 1/6 x) 3)))
(.f64 1/6 (.f64 y x))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x y))))
(.f64 1/6 (.f64 y x))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x y))))
(.f64 1/6 (.f64 y x))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x y))))
(.f64 1/6 (.f64 y x))
(-.f64 (+.f64 1 (.f64 (.f64 (*.f64 y y) 1/6) x)) 1)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) 1)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (pow.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) 3) 1/3)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (cbrt.f64 (.f64 (.f64 (*.f64 y y) 1/6) x)) 3)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(pow.f64 (.f64 y (sqrt.f64 (.f64 1/6 x))) 2)
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(sqrt.f64 (pow.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) 2))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(log.f64 (pow.f64 (exp.f64 (.f64 y y)) (.f64 1/6 x)))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(cbrt.f64 (pow.f64 (.f64 (.f64 (*.f64 y y) 1/6) x) 3))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 1/6 (*.f64 x y)) 3)))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (*.f64 x y)) 3) (pow.f64 y 3)))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(expm1.f64 (log1p.f64 (.f64 (.f64 (*.f64 y y) 1/6) x)))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(log1p.f64 (expm1.f64 (.f64 (.f64 (*.f64 y y) 1/6) x)))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(exp.f64 (log.f64 (.f64 (.f64 (*.f64 y y) 1/6) x)))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 y (.f64 1/6 y))
	0.3b	(*.f64 1/6 y)
✓	7.6b	(.f64 (.f64 y (*.f64 1/6 y)) x)

Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite42.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

661×	`pow1_binary64`
609×	`add-log-exp_binary64`
609×	`log1p-expm1-u_binary64`
609×	`expm1-log1p-u_binary64`
596×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	142	17
2	1666	17

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify36.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

643×	`distribute-rgt-in_binary64`
614×	`distribute-lft-in_binary64`
534×	`log-prod_binary64`
485×	`fma-def_binary64`
365×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	545
1	174	545
2	718	545
3	2618	545

Stop Event

1×	node limit

Counts

62 → 33

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))
(*.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 y (.f64 y (*.f64 1/6 x)))) 1)
(pow.f64 (.f64 y (.f64 y (*.f64 1/6 x))) 1)
(pow.f64 (pow.f64 (.f64 y (.f64 y (*.f64 1/6 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y (*.f64 1/6 x)))) 3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 y (*.f64 1/6 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 y (.f64 y (*.f64 1/6 x))) 2))
(log.f64 (pow.f64 (exp.f64 x) (.f64 y (.f64 y 1/6))))
(cbrt.f64 (pow.f64 (.f64 y (.f64 y (*.f64 1/6 x))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (*.f64 y 1/6)) 3) (pow.f64 x 3)))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 y (*.f64 y 1/6)) 3)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y (*.f64 1/6 x)))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y (*.f64 1/6 x)))))
(exp.f64 (log.f64 (.f64 y (.f64 y (*.f64 1/6 x)))))
(-.f64 (+.f64 1 (.f64 y (.f64 y 1/6))) 1)
(pow.f64 (.f64 y (.f64 y 1/6)) 1)
(pow.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 3)
(pow.f64 (sqrt.f64 (.f64 y (.f64 y 1/6))) 2)
(sqrt.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 2))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))
(cbrt.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 3))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 y 1/6) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 y 1/6) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y 1/6))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y 1/6))))
(exp.f64 (log.f64 (.f64 y (.f64 y 1/6))))

Outputs
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(-.f64 (+.f64 1 (.f64 y (.f64 y (*.f64 1/6 x)))) 1)
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(pow.f64 (.f64 y (.f64 y (*.f64 1/6 x))) 1)
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(pow.f64 (pow.f64 (.f64 y (.f64 y (*.f64 1/6 x))) 3) 1/3)
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(pow.f64 (cbrt.f64 (.f64 y (.f64 y (*.f64 1/6 x)))) 3)
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(pow.f64 (sqrt.f64 (.f64 y (.f64 y (*.f64 1/6 x)))) 2)
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(sqrt.f64 (pow.f64 (.f64 y (.f64 y (*.f64 1/6 x))) 2))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(log.f64 (pow.f64 (exp.f64 x) (.f64 y (.f64 y 1/6))))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(cbrt.f64 (pow.f64 (.f64 y (.f64 y (*.f64 1/6 x))) 3))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(cbrt.f64 (.f64 (pow.f64 (.f64 y (*.f64 y 1/6)) 3) (pow.f64 x 3)))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (.f64 y (*.f64 y 1/6)) 3)))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y (*.f64 1/6 x)))))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y (*.f64 1/6 x)))))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(exp.f64 (log.f64 (.f64 y (.f64 y (*.f64 1/6 x)))))
(.f64 1/6 (.f64 (*.f64 y y) x))
(.f64 y (.f64 1/6 (*.f64 x y)))
(.f64 (.f64 1/6 y) (*.f64 y x))
(-.f64 (+.f64 1 (.f64 y (.f64 y 1/6))) 1)
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(pow.f64 (.f64 y (.f64 y 1/6)) 1)
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(pow.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 3) 1/3)
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 3)
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(pow.f64 (sqrt.f64 (.f64 y (.f64 y 1/6))) 2)
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(sqrt.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 2))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(cbrt.f64 (pow.f64 (.f64 y (.f64 y 1/6)) 3))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 y 1/6) 3)))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y 1/6) 3) (pow.f64 y 3)))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y 1/6))))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y 1/6))))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))
(exp.f64 (log.f64 (.f64 y (.f64 y 1/6))))
(.f64 y (.f64 1/6 y))
(.f64 1/6 (.f64 y y))

eval26.0ms (0.5%)

Compiler: Compiled 1223 to 761 computations (37.8% saved)

prune19.0ms (0.4%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	116	11	127

Error

Counts

127 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
	61.2b	(-.f64 (+.f64 1 (.f64 (.f64 (*.f64 y y) 1/6) x)) 1)
✓	32.1b	(+.f64 (.f64 (.f64 y (*.f64 1/6 y)) x) x)
	61.0b	(.f64 (.f64 y y) (*.f64 x 1/6))
✓	0.5b	(.f64 (sin.f64 x) (/.f64 (-.f64 (.f64 (.f64 y (.f64 y 1/6)) (.f64 y (.f64 y 1/6))) 1) (-.f64 (.f64 y (.f64 y 1/6)) 1)))
	61.0b	(.f64 y (.f64 (*.f64 y x) 1/6))
✓	61.0b	(.f64 y (.f64 y (*.f64 1/6 x)))
✓	61.0b	(.f64 1/6 (.f64 (*.f64 y y) x))
	61.0b	(.f64 1/6 (.f64 y (*.f64 y x)))
✓	0.8b	(sin.f64 x)
	32.3b	x

Compiler

Compiled 111 to 77 computations (30.6% saved)

regimes38.0ms (0.7%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(sin.f64 x)
8.0ms	y
7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms	x
2.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 150 to 85 computations (43.3% saved)

regimes33.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	y
7.0ms	(sin.f64 x)
7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
6.0ms	x
2.0ms	(/.f64 (sinh.f64 y) y)

Results

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

Compiler

Compiled 134 to 79 computations (41% saved)

regimes25.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	(sin.f64 x)
6.0ms	x
6.0ms	y

Results

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

Compiler

Compiled 112 to 66 computations (41.1% saved)

regimes21.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	(sin.f64 x)
6.0ms	y

Results

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

Compiler

Compiled 88 to 50 computations (43.2% saved)

regimes20.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

Outputs
(sin.f64 x)

Calls

3 calls:

6.0ms	y
6.0ms	(sin.f64 x)
6.0ms	x

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`y`
0.8b	1	`(sin.f64 x)`

Compiler

Compiled 78 to 45 computations (42.3% saved)

regimes13.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	y
5.0ms	x

Results

Error	Segments	Branch
32.1b	1	`x`
32.1b	1	`y`

Compiler

Compiled 64 to 36 computations (43.8% saved)

regimes30.0ms (0.6%)

Accuracy

Total -29.0b remaining (-89.5%)

Threshold costs -29.0b (-89.5%)

Counts

6 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

24.0ms	x
4.0ms	y

Results

Error	Segments	Branch
32.3b	1	`x`
32.3b	1	`y`

Compiler

Compiled 44 to 24 computations (45.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	90
1	42	90
2	44	90

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 74 to 52 computations (29.7% saved)

soundness84.0ms (1.7%)

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

end41.0ms (0.8%)

Compiler: Compiled 62 to 35 computations (43.5% saved)

Details

analyze172.0ms (3.4%)

sample3.2s (62.7%)

preprocess50.0ms (1%)

simplify38.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series12.0ms (0.2%)

rewrite65.0ms (1.3%)

simplify68.0ms (1.3%)

eval37.0ms (0.7%)

prune21.0ms (0.4%)

localize3.0ms (0.1%)

localize11.0ms (0.2%)

series4.0ms (0.1%)

rewrite47.0ms (0.9%)

simplify48.0ms (0.9%)

localize13.0ms (0.3%)

series1.0ms (0%)

rewrite35.0ms (0.7%)

simplify39.0ms (0.8%)

eval27.0ms (0.5%)

prune12.0ms (0.2%)

localize9.0ms (0.2%)

series7.0ms (0.1%)

rewrite45.0ms (0.9%)

simplify38.0ms (0.7%)

localize33.0ms (0.7%)

series9.0ms (0.2%)

rewrite65.0ms (1.3%)

simplify59.0ms (1.2%)

eval186.0ms (3.7%)

prune63.0ms (1.2%)

localize6.0ms (0.1%)

series5.0ms (0.1%)

rewrite44.0ms (0.9%)

simplify57.0ms (1.1%)

localize8.0ms (0.1%)

series6.0ms (0.1%)

rewrite45.0ms (0.9%)

simplify52.0ms (1%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite42.0ms (0.8%)

simplify36.0ms (0.7%)

eval26.0ms (0.5%)

prune19.0ms (0.4%)

regimes38.0ms (0.7%)

regimes33.0ms (0.6%)

regimes25.0ms (0.5%)

regimes21.0ms (0.4%)

regimes20.0ms (0.4%)

regimes13.0ms (0.3%)

regimes30.0ms (0.6%)

simplify5.0ms (0.1%)

soundness84.0ms (1.7%)

end41.0ms (0.8%)

Profiling