Details

analyze283.0ms (3.5%)

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 (40%)

Results

824.0ms	2044×	body	1024	valid
789.0ms	2064×	body	1024	infinite
708.0ms	5153×	body	256	valid
316.0ms	1017×	body	512	infinite
289.0ms	2116×	body	256	infinite
261.0ms	1055×	body	512	valid
3.0ms	4×	body	2048	valid

Bogosity

preprocess50.0ms (0.6%)

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)

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 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

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

4 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series12.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	148	20
2	1998	20

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

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

Outputs

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

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

580×	`unswap-sqr_binary64`
564×	`fma-def_binary64`
360×	`associate-/r/_binary64`
285×	`associate-/l/_binary64`
279×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	1919
1	553	1679
2	2455	1446

Stop Event

1×	node limit

Counts

122 → 144

Calls

Call 1

Inputs
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(-.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 1)
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
(/.f64 (neg.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (neg.f64 (sinh.f64 y)) (sin.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))) (neg.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)
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) (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 (sinh.f64 y) y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) (pow.f64 (sin.f64 x) 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)))
(-.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 (sinh.f64 y) y)) 1)
(*.f64 (sinh.f64 y) (/.f64 1 y))
(*.f64 (/.f64 (sinh.f64 y) y) 1)
(*.f64 1 (/.f64 (sinh.f64 y) y))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 1 y)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) 1) (/.f64 (sqrt.f64 (sinh.f64 y)) y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sinh.f64 y) y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sinh.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sinh.f64 y)) (sqrt.f64 y)))
(pow.f64 (/.f64 (sinh.f64 y) y) 1)
(pow.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) 2)
(pow.f64 (/.f64 y (sinh.f64 y)) -1)
(neg.f64 (/.f64 (sinh.f64 y) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sinh.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))

Outputs
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12) (/.f64 y (pow.f64 x 3))))
(fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (.f64 (/.f64 -1/12 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))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (*.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))))))
(fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (fma.f64 1/240 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)) (.f64 (/.f64 -1/12 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 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 7)) (fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5)))))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 7)) (fma.f64 1/240 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)) (.f64 (/.f64 1/2 y) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))
(.f64 (fma.f64 1/6 (.f64 y y) 1) (sin.f64 x))
(.f64 (fma.f64 y (.f64 y 1/6) 1) (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)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (fma.f64 1/6 (*.f64 y y) 1) (sin.f64 x)))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))))
(+.f64 (.f64 (sin.f64 x) (fma.f64 1/5040 (pow.f64 y 6) (.f64 1/6 (.f64 y y)))) (fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/5040 (pow.f64 y 6) (.f64 y (*.f64 y 1/6))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 (/.f64 1/2 y) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y)))
(fma.f64 1/5040 (pow.f64 y 7) (fma.f64 1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
1
(+.f64 1 (*.f64 1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 1/6 (.f64 y y)))
(fma.f64 1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 y 1/6) 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 1/5040 (pow.f64 y 6)) (+.f64 (.f64 1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(+.f64 1 (fma.f64 1/5040 (pow.f64 y 6) (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(fma.f64 1/5040 (pow.f64 y 6) (fma.f64 y (*.f64 y 1/6) (fma.f64 1/120 (pow.f64 y 4) 1)))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y))
(-.f64 (+.f64 1 (/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) 1))
(+.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) 1))
(+.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 0)
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y))) 1))
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(sinh.f64 y)
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(sinh.f64 y)
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(sinh.f64 y)
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(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
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(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
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(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
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(sinh.f64 y)
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
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(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(/.f64 1 (/.f64 2 (*.f64 2 (sinh.f64 y))))
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(sinh.f64 y)
(/.f64 (*.f64 2 (sinh.f64 y)) 2)
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(sinh.f64 y)
(/.f64 (neg.f64 (*.f64 2 (sinh.f64 y))) -2)
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(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(pow.f64 (sinh.f64 y) 1)
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(sinh.f64 y)
(pow.f64 (pow.f64 (sinh.f64 y) 3) 1/3)
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(sinh.f64 y)
(pow.f64 (cbrt.f64 (sinh.f64 y)) 3)
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(sinh.f64 y)
(pow.f64 (sqrt.f64 (sinh.f64 y)) 2)
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(sinh.f64 y)
(sqrt.f64 (pow.f64 (sinh.f64 y) 2))
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(sinh.f64 y)
(log.f64 (exp.f64 (sinh.f64 y)))
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(sinh.f64 y)
(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
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(sinh.f64 y)
(expm1.f64 (log1p.f64 (sinh.f64 y)))
(+.f64 1 (-.f64 (sinh.f64 y) 1))
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(log1p.f64 (expm1.f64 (sinh.f64 y)))
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(sinh.f64 y)
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(sinh.f64 y)
(-.f64 (+.f64 1 (/.f64 (sinh.f64 y) y)) 1)
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(/.f64 (sinh.f64 y) y)
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(/.f64 (sinh.f64 y) y)
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(/.f64 (sinh.f64 y) y)
(*.f64 1 (/.f64 (sinh.f64 y) y))
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(/.f64 (sinh.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) 2))
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(/.f64 (sinh.f64 y) y)
(.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (.f64 (cbrt.f64 (sinh.f64 y)) (/.f64 1 y)))
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(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
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(/.f64 (sinh.f64 y) y)
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(/.f64 (sinh.f64 y) y)
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(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
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(/.f64 (sinh.f64 y) y)
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(/.f64 (sinh.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 y 3)))
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(expm1.f64 (log1p.f64 (/.f64 (sinh.f64 y) y)))
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(/.f64 (sinh.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sinh.f64 y) y)))
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(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sinh.f64 y) y)))
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(+.f64 (/.f64 (sinh.f64 y) y) 0)
(/.f64 (sinh.f64 y) y)

localize8.0ms (0.1%)

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)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite64.0ms (0.8%)

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	17
1	154	17
2	2240	17

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

Outputs
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((#(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 (/.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 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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)))))))

simplify176.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-/r/_binary64`
540×	`fma-def_binary64`
534×	`unswap-sqr_binary64`
326×	`associate-/l/_binary64`
273×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	240	2052
1	624	1533
2	2257	1396

Stop Event

1×	node limit

Counts

109 → 126

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

eval103.0ms (1.3%)

Compiler: Compiled 4580 to 1937 computations (57.7% saved)

prune89.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	301	6	307
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	302	7	309

Error

Counts

309 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	58.6b	(/.f64 (sin.f64 x) (/.f64 y (-.f64 (+.f64 1 (sinh.f64 y)) 1)))
	58.6b	(/.f64 (sin.f64 x) (/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
▶	1.5b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	13.1b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	1.4b	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	1.8b	(sin.f64 x)

Compiler

Compiled 145 to 106 computations (26.9% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 17 computations (48.5% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`prod-diff_binary64`
468×	`log-prod_binary64`
359×	`fma-def_binary64`
357×	`exp-prod_binary64`
311×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	208	20
2	2635	20

Stop Event

1×	node limit

Counts

2 → 101

Calls

Call 1

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

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

simplify113.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-def_binary64`
553×	`fma-neg_binary64`
461×	`distribute-rgt-in_binary64`
431×	`distribute-lft-in_binary64`
343×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	272	2005
1	687	1958
2	1832	1898
3	7344	1896

Stop Event

1×	node limit

Counts

137 → 151

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x)
(+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (.f64 -1/6 (.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3))))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 5))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3)))))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 5))) (+.f64 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) x) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 1/6 (pow.f64 y 2))) (pow.f64 x 3))) (.f64 -1/5040 (.f64 (+.f64 1 (*.f64 1/6 (pow.f64 y 2))) (pow.f64 x 7))))))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (pow.f64 y 2))))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
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(-.f64 (fma.f64 1/6 (*.f64 y y) 1) 1)
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(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
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(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 1/6 y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 y y)))))
(cbrt.f64 (*.f64 1/216 (pow.f64 y 6)))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 y y))))
(expm1.f64 (.f64 (log1p.f64 (.f64 1/6 (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 y y))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 y y))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (*.f64 y y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/6 (*.f64 y y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 1/6))) 2))
(exp.f64 (.f64 (log.f64 (.f64 1/216 (pow.f64 y 6))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/6 (.f64 y y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 1/6 (.f64 y y))) 3) 1/3))
(fma.f64 1 (fma.f64 1/6 (*.f64 y y) 1) -1)
(fma.f64 (fma.f64 1/6 (*.f64 y y) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 1/6 (.f64 y y) 1)) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) 1) 2)) (cbrt.f64 (fma.f64 1/6 (.f64 y y) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) (hypot.f64 1 (.f64 y (sqrt.f64 1/6))) -1)
(fma.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 -1/6 (.f64 y y))))) -1)
(fma.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (.f64 -1/6 (*.f64 y y)))) -1)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (.f64 (.f64 y y) (sin.f64 x))) 1))
(+.f64 0 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)))
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (.f64 y y) 1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (.f64 y y) 1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (.f64 y y) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (.f64 y y) 1)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)))) 1)
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (.f64 1/6 (.f64 (.f64 y y) (sin.f64 x))) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (.f64 1/6 (.f64 (.f64 y y) (sin.f64 x))) 2) (.f64 (sin.f64 x) (.f64 1/6 (.f64 (.f64 y y) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (.f64 1/6 (.f64 (.f64 y y) (sin.f64 x))) 2)) (-.f64 (sin.f64 x) (.f64 1/6 (.f64 (.f64 y y) (sin.f64 x)))))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 y 6) 1) (sin.f64 x)) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 -1/6 (*.f64 y y)))))
(/.f64 (.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (sin.f64 x)) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(/.f64 (.f64 (sin.f64 x) (fma.f64 1/216 (pow.f64 y 6) 1)) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 -1/6 (*.f64 y y)))))
(/.f64 (.f64 (sin.f64 x) (-.f64 1 (.f64 1/36 (pow.f64 y 4)))) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(pow.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)) 1)
(pow.f64 (E.f64) (log.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))))
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))) 3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)))))
(sqrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (pow.f64 (pow.f64 (exp.f64 y) (.f64 1/6 y)) (sin.f64 x))))
(log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 y) (.f64 1/6 y)) (sin.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1)) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))))
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(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (*.f64 y y) 1)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))) 1) 1))
(fma.f64 1/6 (.f64 (.f64 y y) (sin.f64 x)) (sin.f64 x))
(fma.f64 (.f64 y y) (.f64 1/6 (sin.f64 x)) (sin.f64 x))
(fma.f64 (.f64 1/6 (.f64 y y)) (sin.f64 x) (sin.f64 x))
(fma.f64 (sin.f64 x) (.f64 1/6 (.f64 y y)) (sin.f64 x))
(fma.f64 (sin.f64 x) 1 (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
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(fma.f64 1 (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))) (sin.f64 x))
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(fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
(fma.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (.f64 1/6 (.f64 (.f64 y y) (sin.f64 x))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (.f64 1/6 (.f64 (*.f64 y y) (sin.f64 x))))
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(fma.f64 (.f64 y (sqrt.f64 1/6)) (.f64 (*.f64 y (sqrt.f64 1/6)) (sin.f64 x)) (sin.f64 x))
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(fma.f64 (.f64 1/6 y) (.f64 y (sin.f64 x)) (sin.f64 x))
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(fma.f64 (.f64 (sin.f64 x) 1/6) (.f64 y y) (sin.f64 x))
(fma.f64 (.f64 (sin.f64 x) (.f64 y y)) 1/6 (sin.f64 x))
(fma.f64 (.f64 (sin.f64 x) (cbrt.f64 (.f64 1/36 (pow.f64 y 4)))) (cbrt.f64 (.f64 1/6 (.f64 y y))) (sin.f64 x))
(fma.f64 (.f64 (sin.f64 x) (.f64 y (sqrt.f64 1/6))) (*.f64 y (sqrt.f64 1/6)) (sin.f64 x))
(fma.f64 (.f64 (sin.f64 x) (.f64 1/6 y)) y (sin.f64 x))
(fma.f64 (pow.f64 (.f64 (.f64 y (sqrt.f64 1/6)) (cbrt.f64 (sin.f64 x))) 2) (cbrt.f64 (sin.f64 x)) (sin.f64 x))
(fma.f64 (.f64 (.f64 1/6 (*.f64 y y)) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))

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

localize3.0ms (0%)

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 17 computations (48.5% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite93.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

478×	`log-prod_binary64`
403×	`prod-diff_binary64`
375×	`exp-prod_binary64`
296×	`fma-def_binary64`
263×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	209	28
2	2681	28

Stop Event

1×	node limit

Counts

3 → 135

Calls

Call 1

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

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

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

simplify81.0ms (1%)

Algorithm

1×	egg-herbie

Rules

847×	`fma-def_binary64`
549×	`unswap-sqr_binary64`
342×	`distribute-rgt-in_binary64`
321×	`distribute-lft-in_binary64`
269×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	358	2819
1	844	2688
2	2710	2651

Stop Event

1×	node limit

Counts

183 → 204

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 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 7) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.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))))
(/.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 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (+.f64 (.f64 1/216 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
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 0 (.f64 -1/6 (.f64 y y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (.f64 -1/6 y)))))
(-.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(pow.f64 (.f64 -1/6 (.f64 y y)) 1)
(pow.f64 (E.f64) (log.f64 (.f64 -1/6 (.f64 y y))))
(pow.f64 (*.f64 1/36 (pow.f64 y 4)) 1/2)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) 3)
(pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)
(pow.f64 (*.f64 -1/216 (pow.f64 y 6)) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -1/6 (.f64 y y)))) 2)) (cbrt.f64 (log.f64 (.f64 -1/6 (.f64 y y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -1/6 (.f64 y y))))) (sqrt.f64 (log.f64 (.f64 -1/6 (.f64 y y)))))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 -1/6 y)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (.f64 y y)))))
(cbrt.f64 (*.f64 -1/216 (pow.f64 y 6)))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(expm1.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -1/6 (*.f64 y y)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 y (sqrt.f64 -1/6))) 2))
(exp.f64 (.f64 (log.f64 (.f64 -1/216 (pow.f64 y 6))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 -1/6 (.f64 y y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 -1/6 (.f64 y y))) 3) 1/3))
(fma.f64 1 (fma.f64 -1/6 (*.f64 y y) 1) -1)
(fma.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) -1)
(fma.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y))))) -1)
(fma.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (.f64 1/6 (*.f64 y y)))) -1)
(+.f64 0 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))) 1)
(.f64 (sin.f64 x) (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 1 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)) 1)
(.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (.f64 y y) 1) (sin.f64 x)) -2)) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 (fma.f64 -1/6 (.f64 y y) 1))))
(.f64 (/.f64 1 (fma.f64 -1/6 (.f64 y y) 1)) (sin.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) (fma.f64 -1/6 (.f64 y y) 1)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) -2) (/.f64 (sin.f64 x) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2))) (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2))) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) -1/2) (/.f64 (sin.f64 x) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 (cbrt.f64 (sin.f64 x)) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 (sin.f64 x) (fma.f64 -1/216 (pow.f64 y 6) 1)) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(.f64 (/.f64 (sin.f64 x) (-.f64 1 (.f64 1/36 (pow.f64 y 4)))) (+.f64 1 (.f64 1/6 (.f64 y y))))
(pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(pow.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 2)
(pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 2)) (cbrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))))) (sqrt.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))))
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 2))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -1/6 (.f64 y y) 1) (sin.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 1) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1))) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (.f64 y y)))) (/.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 1/6 (*.f64 y y)))))
(.f64 1 (fma.f64 -1/6 (.f64 y y) 1))
(.f64 (fma.f64 -1/6 (.f64 y y) 1) 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 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))
(.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))))))
(.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (.f64 1/6 (.f64 y y)))))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))) (fma.f64 -1/216 (pow.f64 y 6) 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 1/36 (pow.f64 y 4) (+.f64 1 (.f64 1/6 (.f64 y y)))))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (neg.f64 (fma.f64 -1/216 (pow.f64 y 6) 1)) (neg.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y))))))
(/.f64 (neg.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4)))) (neg.f64 (+.f64 1 (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(pow.f64 (E.f64) (log1p.f64 (.f64 -1/6 (.f64 y y))))
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))) (fma.f64 -1/216 (pow.f64 y 6) 1)) -1)
(pow.f64 (/.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 2)) (cbrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))) (sqrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 1/3))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 3))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) 2))
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))) 1) 1))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 (.f64 -1/6 (.f64 y y)) 1 1)
(fma.f64 1 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 1)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4))) (cbrt.f64 (.f64 -1/6 (*.f64 y y))) 1)
(fma.f64 (.f64 (cbrt.f64 y) y) (.f64 (pow.f64 (cbrt.f64 y) 2) -1/6) 1)
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 (.f64 -1/6 (.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) 2) 1)
(fma.f64 (.f64 (.f64 -1/6 y) 1) y 1)
(fma.f64 (.f64 (.f64 -1/6 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)
(fma.f64 (.f64 (.f64 -1/6 y) (sqrt.f64 y)) (sqrt.f64 y) 1)

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 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -1/6 (/.f64 (pow.f64 x 3) (fma.f64 -1/6 (.f64 y y) 1)) (/.f64 x (fma.f64 -1/6 (.f64 y y) 1)))
(+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2))))))
(fma.f64 1/120 (/.f64 (pow.f64 x 5) (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 x (fma.f64 -1/6 (*.f64 y y) 1))))
(+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 7) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 5) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))) (/.f64 x (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))))
(fma.f64 -1/5040 (/.f64 (pow.f64 x 7) (fma.f64 -1/6 (.f64 y y) 1)) (fma.f64 1/120 (/.f64 (pow.f64 x 5) (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 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 -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 -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 -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 -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 -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 -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 -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 -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 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(.f64 (sin.f64 x) (fma.f64 1/6 (.f64 y y) 1))
(.f64 (sin.f64 x) (fma.f64 y (.f64 y 1/6) 1))
(+.f64 (sin.f64 x) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (sin.f64 x) (fma.f64 1/36 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (.f64 1/6 (.f64 y y)) (sin.f64 x))))
(.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))
(.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y 1/6) 1)))
(+.f64 (sin.f64 x) (+.f64 (.f64 1/216 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(+.f64 (sin.f64 x) (fma.f64 1/216 (.f64 (sin.f64 x) (pow.f64 y 6)) (fma.f64 1/36 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))))
(+.f64 (.f64 (sin.f64 x) (.f64 1/216 (pow.f64 y 6))) (.f64 (sin.f64 x) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1))))
(.f64 (sin.f64 x) (+.f64 (.f64 1/216 (pow.f64 y 6)) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1))))
(*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))
(.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)))
(*.f64 (/.f64 -6 y) (/.f64 (sin.f64 x) y))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y y))))
(fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))))
(.f64 (/.f64 (sin.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (*.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 -6 (/.f64 (sin.f64 x) (.f64 y y)) (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)))))
(fma.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 (/.f64 (sin.f64 x) (.f64 y y)) (+.f64 -6 (/.f64 -36 (*.f64 y y)))))
(+.f64 (.f64 -36 (/.f64 (sin.f64 x) (pow.f64 y 4))) (+.f64 (.f64 -216 (/.f64 (sin.f64 x) (pow.f64 y 6))) (+.f64 (.f64 -6 (/.f64 (sin.f64 x) (pow.f64 y 2))) (.f64 -1296 (/.f64 (sin.f64 x) (pow.f64 y 8))))))
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(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 -1/6 (*.f64 y y) 1) (sin.f64 x)) -2))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1)) 3))
(/.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 -1/6 (*.f64 y y) 1) 3)))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1))) 1))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)) 3)) 1/3))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 3))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (.f64 y y) 1)))) 2))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 -1/6 (.f64 y y) 1) (sin.f64 x))) -1))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))) 1) 1))
(/.f64 (sin.f64 x) (fma.f64 -1/6 (*.f64 y y) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1))) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(-.f64 (/.f64 1 (+.f64 1 (.f64 1/6 (.f64 y y)))) (/.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (.f64 1/6 (*.f64 y y)))))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(.f64 1 (fma.f64 -1/6 (.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) 1)
(.f64 (fma.f64 -1/6 (.f64 y y) 1) 1)
(fma.f64 -1/6 (*.f64 y y) 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 (cbrt.f64 (pow.f64 (fma.f64 -1/6 (.f64 y y) 1) 2)) (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 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 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 1 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y))))))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (/.f64 1 (+.f64 1 (.f64 1/6 (.f64 y y)))))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 1 (/.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))) (fma.f64 -1/216 (pow.f64 y 6) 1)))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 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) (+.f64 1 (.f64 1/6 (.f64 y y)))))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (neg.f64 (fma.f64 -1/216 (pow.f64 y 6) 1)) (neg.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y))))))
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(/.f64 (neg.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4)))) (neg.f64 (+.f64 1 (.f64 1/6 (*.f64 y y)))))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (E.f64) (log1p.f64 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2) 1/2)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(pow.f64 (/.f64 (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (.f64 y y)))) (fma.f64 -1/216 (pow.f64 y 6) 1)) -1)
(/.f64 (.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) 1) (+.f64 1 (fma.f64 1/36 (pow.f64 y 4) (.f64 1/6 (*.f64 y y)))))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 1/6 (*.f64 y y) 1)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/216 1) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y 1/6) 1)))
(pow.f64 (/.f64 (+.f64 1 (.f64 1/6 (.f64 y y))) (-.f64 1 (*.f64 1/36 (pow.f64 y 4)))) -1)
(/.f64 (-.f64 1 (.f64 1/36 (pow.f64 y 4))) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (fma.f64 1/6 (.f64 y y) 1))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 2)) (cbrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))) (sqrt.f64 (log1p.f64 (.f64 -1/6 (.f64 y y)))))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))
(fma.f64 -1/6 (*.f64 y y) 1)
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(fma.f64 -1/6 (*.f64 y y) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))
(fma.f64 -1/6 (*.f64 y y) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (.f64 (log1p.f64 (.f64 -1/6 (*.f64 y y))) 1))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (.f64 (.f64 3 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 1/3))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (.f64 -1/6 (.f64 y y)))) 3))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) 2))
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(exp.f64 (.f64 (.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))) 1) 1))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/6 y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 -1/6 (.f64 y y)) 1 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 1 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 1)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4))) (cbrt.f64 (.f64 -1/6 (*.f64 y y))) 1)
(fma.f64 (cbrt.f64 (.f64 -1/6 (.f64 y y))) (cbrt.f64 (*.f64 1/36 (pow.f64 y 4))) 1)
(fma.f64 (.f64 (cbrt.f64 y) y) (.f64 (pow.f64 (cbrt.f64 y) 2) -1/6) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 -1/6 (.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) 2) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 (.f64 -1/6 y) 1) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 (.f64 -1/6 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 (.f64 -1/6 y) (sqrt.f64 y)) (sqrt.f64 y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.2b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	0.3b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
✓	13.0b	(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))

Compiler

Compiled 30 to 9 computations (70% saved)

series19.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	y	@	0	(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
1.0ms	x	@	0	(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
1.0ms	y	@	-inf	(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
1.0ms	y	@	inf	(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
1.0ms	x	@	-inf	(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))

rewrite82.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 178

Calls

Call 1

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

Outputs

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

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

simplify142.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

334×	`log-prod_binary64`
291×	`exp-prod_binary64`
277×	`sqr-pow_binary64`
208×	`cube-prod_binary64`
208×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	525	4815
1	1352	3936
2	4434	3924

Stop Event

1×	node limit

Counts

250 → 309

Calls

Call 1

Inputs
(/.f64 1 (sin.f64 x))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 5) (+.f64 (.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/6 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))))) (+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7))) (+.f64 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5))) (.f64 1/2 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (sinh.f64 y))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (sinh.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (sinh.f64 y))) 1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (sin.f64 x) (sinh.f64 y)))) -1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (sinh.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (sinh.f64 y)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) 1))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 (sinh.f64 y))))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (sinh.f64 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 x)) 1) (.f64 (log.f64 (sinh.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (log.f64 (sin.f64 x))))
(exp.f64 (+.f64 (log.f64 (sinh.f64 y)) (*.f64 (log.f64 (sin.f64 x)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sinh.f64 y)) 1) (.f64 (log.f64 (sin.f64 x)) 1)))

Outputs
(/.f64 1 (sin.f64 x))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (.f64 -1/6 (/.f64 (.f64 y y) (sin.f64 x))))
(fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y)) (/.f64 1 (sin.f64 x)))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)) (.f64 -1/6 (/.f64 (.f64 y y) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y)) (*.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y)) (/.f64 (*.f64 7/360 (pow.f64 y 4)) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x)) (.f64 -1/6 (/.f64 (.f64 y y) (sin.f64 x))))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x)) (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y)) (*.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))))))
(+.f64 (/.f64 1 (sin.f64 x)) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x)) (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) y)) (/.f64 (*.f64 7/360 (pow.f64 y 4)) (sin.f64 x)))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
(/.f64 (/.f64 y (sinh.f64 y)) x)
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(fma.f64 1/3 (/.f64 (.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)))
(fma.f64 1/3 (*.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (/.f64 (/.f64 y (sinh.f64 y)) x))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(fma.f64 1/3 (/.f64 (.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1 (.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180) (pow.f64 x 3)) (.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))))
(fma.f64 1/3 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (-.f64 (/.f64 (/.f64 y (sinh.f64 y)) x) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -7/180 (pow.f64 x 3)))))
(-.f64 (fma.f64 1/3 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (/.f64 (/.f64 y (sinh.f64 y)) x)) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 -7/180 (pow.f64 x 3))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 5) (+.f64 (.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/6 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))))) (+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))))
(fma.f64 -1 (.f64 (pow.f64 x 5) (fma.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180) 1/6)))) (fma.f64 1/3 (/.f64 (.f64 x y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 -1 (.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/180) (pow.f64 x 3)) (*.f64 2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)))))
(-.f64 (fma.f64 1/3 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (-.f64 (/.f64 (/.f64 y (sinh.f64 y)) x) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 -7/180 (pow.f64 x 3))))) (.f64 (pow.f64 x 5) (+.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/1080) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/420))))
(-.f64 (-.f64 (fma.f64 1/3 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (/.f64 (/.f64 y (sinh.f64 y)) x)) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 -7/180 (pow.f64 x 3)))) (.f64 (pow.f64 x 5) (+.f64 (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) -7/1080) (.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 1/420))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 2 (/.f64 (/.f64 y (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
(/.f64 (/.f64 y (sin.f64 x)) (sinh.f64 y))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))
(.f64 (+.f64 (.f64 (*.f64 y y) 1/6) 1) (sin.f64 x))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (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)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (+.f64 (.f64 (.f64 y y) 1/6) 1) (sin.f64 x)))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 (.f64 y y) 1/6) (.f64 (pow.f64 y 6) 1/5040))) (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 y 4)) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(/.f64 (.f64 (.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) y)
(.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x))
(/.f64 1/2 (/.f64 (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x))
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(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2) 1/2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3) 1/3)
(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 3)
(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 2)
(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 x) (sinh.f64 y))) -1)
(*.f64 (sin.f64 x) (sinh.f64 y))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (sinh.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 (sin.f64 x) (sinh.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (sinh.f64 y))))) (sqrt.f64 (log.f64 (.f64 (sin.f64 x) (sinh.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sinh.f64 y)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) 3))
(*.f64 (sin.f64 x) (sinh.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 x) (sinh.f64 y))) 1))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 (sin.f64 x) (sinh.f64 y)))) -1))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y)))) 1/3))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 x) (sinh.f64 y)))) 3))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (sin.f64 x) (sinh.f64 y)))) 2))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))) 1) 1))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (*.f64 (sin.f64 x) (sinh.f64 y))))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 (sinh.f64 y))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (+.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (sinh.f64 y)) 1)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 x)) 1) (.f64 (log.f64 (sinh.f64 y)) 1)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (+.f64 (*.f64 (log.f64 (sinh.f64 y)) 1) (log.f64 (sin.f64 x))))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (+.f64 (log.f64 (sinh.f64 y)) (*.f64 (log.f64 (sin.f64 x)) 1)))
(*.f64 (sin.f64 x) (sinh.f64 y))
(exp.f64 (+.f64 (.f64 (log.f64 (sinh.f64 y)) 1) (.f64 (log.f64 (sin.f64 x)) 1)))
(*.f64 (sin.f64 x) (sinh.f64 y))

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 y (-.f64 (+.f64 1 (sinh.f64 y)) 1))
✓	0.0b	(/.f64 (sin.f64 x) (/.f64 y (-.f64 (+.f64 1 (sinh.f64 y)) 1)))
✓	6.6b	(-.f64 (+.f64 1 (sinh.f64 y)) 1)

Compiler

Compiled 38 to 22 computations (42.1% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`log-prod_binary64`
299×	`prod-diff_binary64`
284×	`pow2_binary64`
273×	`fma-def_binary64`
202×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	230	20
2	3522	20

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sin.f64 x) y) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 (sinh.f64 y)) (/.f64 (sin.f64 x) y)) (*.f64 -1 (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) y) 1) (*.f64 (/.f64 (sin.f64 x) y) (+.f64 (sinh.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (sin.f64 x) y) (+.f64 1 (sinh.f64 y))) (*.f64 (/.f64 (sin.f64 x) y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2) (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (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 (sinh.f64 y) (/.f64 (sin.f64 x) y))) (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (/.f64 (neg.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 (cbrt.f64 (pow.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 (sqrt.f64 (sin.f64 x)) y) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 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(sin.f64 x) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) 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simplify124.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

380×	`log-prod_binary64`
315×	`cancel-sign-sub-inv_binary64`
237×	`cube-prod_binary64`
234×	`fma-neg_binary64`
225×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	3482
1	1112	2957
2	4337	2955

Stop Event

1×	node limit

Counts

228 → 268

Calls

Call 1

Inputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/5040 (pow.f64 y 7)) (+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (*.f64 1/6 (pow.f64 y 3)))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
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(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)
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (sinh.f64 y) y) 1) -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))))
(log.f64 (+.f64 1 (expm1.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))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1))

Outputs
y
(+.f64 y (*.f64 1/6 (pow.f64 y 3)))
(fma.f64 1/6 (pow.f64 y 3) y)
(+.f64 (.f64 1/120 (pow.f64 y 5)) (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (+.f64 y (*.f64 1/6 (pow.f64 y 3))))
(fma.f64 1/120 (pow.f64 y 5) (fma.f64 1/6 (pow.f64 y 3) y))
(+.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)))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(.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 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (.f64 -1/12 (*.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (.f64 1/240 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)))))
(fma.f64 -1/12 (.f64 (/.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 (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 5))) 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)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (.f64 1/240 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5))))))
(fma.f64 -1/12 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 3)) (fma.f64 -1/10080 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 7)) (fma.f64 1/2 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) x) (/.f64 (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 5))) y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))
(fma.f64 (.f64 1/6 (.f64 y y)) (sin.f64 x) (sin.f64 x))
(fma.f64 1/6 (.f64 y (.f64 y (sin.f64 x))) (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)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (.f64 (.f64 1/6 (.f64 y y)) (sin.f64 x))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x) (sin.f64 x)))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 y (*.f64 y (sin.f64 x))) (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))))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 (.f64 1/6 (*.f64 y y)) (sin.f64 x)))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/5040 (pow.f64 y 6)))) (.f64 (+.f64 (.f64 1/120 (pow.f64 y 4)) 1) (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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 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 (pow.f64 y 4) 7/360)))
(+.f64 1 (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 7/360)))
(+.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 (pow.f64 y 4) 7/360))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -31/15120 (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 7/360))))
(*.f64 2 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (*.f64 2 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 (*.f64 2 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 (*.f64 2 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 (*.f64 2 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 (*.f64 2 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 (*.f64 2 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 (*.f64 2 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 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(+.f64 1 (+.f64 (sinh.f64 y) -1))
(sinh.f64 y)
(+.f64 1 (*.f64 (+.f64 (sinh.f64 y) -1) 1))
(sinh.f64 y)
(+.f64 (+.f64 1 (sinh.f64 y)) -1)
(sinh.f64 y)
(+.f64 (sinh.f64 y) 0)
(sinh.f64 y)
(+.f64 0 (sinh.f64 y))
(sinh.f64 y)
(+.f64 -1 (+.f64 1 (sinh.f64 y)))
(sinh.f64 y)
(+.f64 (+.f64 (sinh.f64 y) -1) 1)
(sinh.f64 y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y))))) (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sinh.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))) (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sinh.f64 y)))))
(*.f64 1 (sinh.f64 y))
(sinh.f64 y)
(*.f64 (sinh.f64 y) 1)
(sinh.f64 y)
(*.f64 (cbrt.f64 (sinh.f64 y)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(sinh.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(*.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 (sinh.f64 y)))
(sinh.f64 y)
(.f64 (.f64 2 (sinh.f64 y)) 1/2)
(sinh.f64 y)
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sinh.f64 y)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (+.f64 (sinh.f64 y) 2))))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (sinh.f64 y)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (+.f64 2 (sinh.f64 y)))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sinh.f64 y)))) (+.f64 2 (+.f64 (sinh.f64 y) (pow.f64 (+.f64 1 (sinh.f64 y)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (sinh.f64 y)))) (+.f64 (sinh.f64 y) (+.f64 2 (pow.f64 (+.f64 1 (sinh.f64 y)) 2))))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (sinh.f64 y)))) (/.f64 1 (+.f64 (sinh.f64 y) 2)))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (sinh.f64 y)))) (/.f64 1 (+.f64 2 (sinh.f64 y))))
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(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (pow.f64 (/.f64 y (sinh.f64 y)) -1/2) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (.f64 (/.f64 (sinh.f64 y) y) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (sinh.f64 y) y) (.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))))
(.f64 (.f64 (/.f64 (sin.f64 x) y) 1) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2) 1/2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3) 1/3)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 3)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 2)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(pow.f64 (/.f64 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))) 1) -1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 y) (sinh.f64 y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 2))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y)) 3))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(exp.f64 (log.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(exp.f64 (.f64 (log.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))) 1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(fma.f64 1 (/.f64 (sin.f64 x) y) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(fma.f64 (+.f64 1 (sinh.f64 y)) (/.f64 (sin.f64 x) y) (*.f64 -1 (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(fma.f64 (sin.f64 x) (/.f64 1 y) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(fma.f64 (/.f64 (sin.f64 x) y) 1 (*.f64 (/.f64 (sin.f64 x) y) (+.f64 (sinh.f64 y) -1)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(fma.f64 (/.f64 (sin.f64 x) y) (+.f64 1 (sinh.f64 y)) (*.f64 (/.f64 (sin.f64 x) y) -1))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) y)) 2) (cbrt.f64 (/.f64 (sin.f64 x) y)) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(fma.f64 (sqrt.f64 (/.f64 (sin.f64 x) y)) (sqrt.f64 (/.f64 (sin.f64 x) y)) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) 1) (/.f64 (cbrt.f64 (sin.f64 x)) y) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) y) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) y) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) y))
(fma.f64 (pow.f64 (cbrt.f64 y) -2) (/.f64 (sin.f64 x) (cbrt.f64 y)) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 y)) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 y)) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(fma.f64 (pow.f64 y -1/2) (/.f64 (sin.f64 x) (sqrt.f64 y)) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(fma.f64 (/.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 y)) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(fma.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 y)) (*.f64 (+.f64 (sinh.f64 y) -1) (/.f64 (sin.f64 x) y)))
(+.f64 0 (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (sinh.f64 y)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sinh.f64 y)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (sinh.f64 y))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (sinh.f64 y)))) 1)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 1 (/.f64 y (sinh.f64 y)))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 y (/.f64 1 (sinh.f64 y)))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 y (sinh.f64 y)) 1)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (cbrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 1 (sinh.f64 y)) y)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 y (cbrt.f64 (sinh.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) -2) (/.f64 (cbrt.f64 (sinh.f64 y)) 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 (cbrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(*.f64 (pow.f64 (sinh.f64 y) -1/2) (/.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 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(.f64 (/.f64 y (expm1.f64 (.f64 3 (log1p.f64 (sinh.f64 y))))) (+.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (+.f64 (sinh.f64 y) 2)))
(/.f64 (.f64 y (+.f64 (pow.f64 (+.f64 1 (sinh.f64 y)) 2) (+.f64 2 (sinh.f64 y)))) (expm1.f64 (.f64 3 (log1p.f64 (sinh.f64 y)))))
(.f64 (+.f64 2 (+.f64 (sinh.f64 y) (pow.f64 (+.f64 1 (sinh.f64 y)) 2))) (/.f64 y (expm1.f64 (.f64 3 (log1p.f64 (sinh.f64 y))))))
(.f64 (+.f64 (sinh.f64 y) (+.f64 2 (pow.f64 (+.f64 1 (sinh.f64 y)) 2))) (/.f64 y (expm1.f64 (.f64 3 (log1p.f64 (sinh.f64 y))))))
(.f64 (/.f64 y (expm1.f64 (.f64 2 (log1p.f64 (sinh.f64 y))))) (+.f64 (sinh.f64 y) 2))
(/.f64 (.f64 y (+.f64 2 (sinh.f64 y))) (expm1.f64 (.f64 2 (log1p.f64 (sinh.f64 y)))))
(/.f64 y (/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (sinh.f64 y)))) (+.f64 2 (sinh.f64 y))))
(pow.f64 (/.f64 y (sinh.f64 y)) 1)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2) 1/2)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) 1/3)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 3)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) y) -1)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(pow.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)) 1/3)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(pow.f64 (/.f64 (/.f64 (sinh.f64 y) y) 1) -1)
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 2))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(log.f64 (exp.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (sinh.f64 y)))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sinh.f64 y) 3)))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(exp.f64 (log.f64 (/.f64 y (sinh.f64 y))))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1))
(/.f64 (*.f64 2 y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 y (sinh.f64 y))

eval394.0ms (4.9%)

Compiler: Compiled 17019 to 8489 computations (50.1% saved)

prune262.0ms (3.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1001	5	1006
Fresh	0	1	1
Picked	1	0	1
Done	1	4	5
Total	1003	10	1013

Error

Counts

1013 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	58.6b	(/.f64 (sin.f64 x) (/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
✓	1.5b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
▶	0.2b	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
▶	35.7b	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) x))
▶	2.0b	(/.f64 1 (/.f64 1 (sin.f64 x)))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	1.4b	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
▶	60.7b	(.f64 y (.f64 y (*.f64 1/6 (sin.f64 x))))
▶	36.1b	(.f64 x (fma.f64 1/6 (.f64 y y) 1))
✓	1.8b	(sin.f64 x)

Compiler

Compiled 167 to 121 computations (27.5% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
	0.0b	(/.f64 y (sinh.f64 y))
✓	0.1b	(/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x))
✓	0.3b	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))

Compiler

Compiled 29 to 9 computations (69% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite95.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`log-prod_binary64`
403×	`exp-prod_binary64`
302×	`pow-prod-down_binary64`
254×	`pow2_binary64`
178×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	195	22
2	2746	22

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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

simplify91.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

546×	`unswap-sqr_binary64`
275×	`log-prod_binary64`
218×	`sqr-pow_binary64`
178×	`*-commutative_binary64`
169×	`cube-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	3760
1	1075	2916
2	3460	2896

Stop Event

1×	node limit

Counts

179 → 223

Calls

Call 1

Inputs
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (+.f64 (.f64 -1/10080 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 7)) y)) (+.f64 (.f64 1/240 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 5)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(/.f64 1 (sin.f64 x))
(+.f64 (/.f64 1 (sin.f64 x)) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x)))))
(+.f64 (/.f64 1 (sin.f64 x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) (sin.f64 x))) (*.f64 -1/6 (/.f64 (pow.f64 y 2) (sin.f64 x))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))
(+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))))
(+.f64 (.f64 -1 (.f64 (pow.f64 x 5) (+.f64 (.f64 -1/2520 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 1/360 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 1/6 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))))) (+.f64 (.f64 1/3 (/.f64 (.f64 y x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/60 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (/.f64 y (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 3))) (.f64 2 (/.f64 y (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 y (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 0 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 1)
(.f64 1 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 (/.f64 (sinh.f64 y) y) (sin.f64 x))
(.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1)
(*.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 (pow.f64 y -1) (.f64 (sinh.f64 y) (sin.f64 x)))
(*.f64 (pow.f64 y -1) (/.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 (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)) (/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 y (sinh.f64 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 (pow.f64 (/.f64 y (sinh.f64 y)) -1/2) (/.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 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 1 (/.f64 (neg.f64 y) (sinh.f64 y))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))) -2) (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) 1) (sin.f64 x))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) -1)
(pow.f64 (E.f64) (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 3) -1/3)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) -3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) -2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 2)
(pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 (neg.f64 y) (*.f64 (sinh.f64 y) (sin.f64 x)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 y (sinh.f64 y)))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))) (sqrt.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) -2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 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) y) (sinh.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))) -1))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (sin.f64 x)) 1) (log.f64 (/.f64 y (sinh.f64 y)))))
(exp.f64 (-.f64 (log.f64 (sin.f64 x)) (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (sin.f64 x)) 1) (.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1)))
(+.f64 0 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) 1)
(.f64 1 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))
(.f64 y (/.f64 1 (.f64 (sinh.f64 y) (sin.f64 x))))
(*.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 (sin.f64 x)))
(.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))) 1)
(.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))) 2) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 1 (sin.f64 x))))
(.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))) (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 x)) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 x)) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 y 1) (/.f64 (/.f64 1 (sinh.f64 y)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) -2) (/.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (/.f64 1 (sinh.f64 y)) (cbrt.f64 (sin.f64 x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 y (sqrt.f64 (sin.f64 x))) (/.f64 (/.f64 1 (sinh.f64 y)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 (sin.f64 x))))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 3) -1/3)
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) -3)
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 2)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) -2)
(pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) -1)
(pow.f64 (/.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1) -1)
(pow.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))))
(neg.f64 (/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (sin.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) -1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1) -1))
(exp.f64 (-.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 (sinh.f64 y) (sin.f64 x)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1) (log.f64 (sin.f64 x))))
(exp.f64 (-.f64 (log.f64 (/.f64 y (sinh.f64 y))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1) (.f64 (log.f64 (sin.f64 x)) 1)))

Outputs
(sin.f64 x)
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))
(fma.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)) (sin.f64 x))
(.f64 (+.f64 (.f64 1/6 (*.f64 y y)) 1) (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)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (sin.f64 x) (.f64 y y)))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (fma.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)) (sin.f64 x)))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (.f64 (+.f64 (.f64 1/6 (.f64 y y)) 1) (sin.f64 x)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
(fma.f64 1/120 (.f64 (sin.f64 x) (pow.f64 y 4)) (+.f64 (sin.f64 x) (fma.f64 1/5040 (.f64 (sin.f64 x) (pow.f64 y 6)) (.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y))))))
(+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/6 (.f64 y y)) (.f64 1/5040 (pow.f64 y 6)))) (.f64 (+.f64 (.f64 1/120 (pow.f64 y 4)) 1) (sin.f64 x)))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (.f64 -1/12 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 3)) y)) (.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y)))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))
(fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (*.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.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))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 1/240 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (/.f64 (.f64 (.f64 1/240 (pow.f64 x 5)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) 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)))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/240 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 5))) (*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x))))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (.f64 1/240 (.f64 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) y) (pow.f64 x 5))))))
(fma.f64 -1/12 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 3))) (fma.f64 -1/10080 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y (pow.f64 x 7))) (fma.f64 1/2 (/.f64 x (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (/.f64 (.f64 (.f64 1/240 (pow.f64 x 5)) (-.f64 (exp.f64 y) (exp.f64 (neg.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 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) y) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) y))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 y (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
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(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) -2)
(pow.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) -1)
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(pow.f64 (/.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) (pow.f64 (sin.f64 x) 3)) 1/3)
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(pow.f64 (/.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y)) 1) -1)
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(pow.f64 (/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y) -1)
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 y (.f64 (sin.f64 x) (sinh.f64 y))))) 2)) (cbrt.f64 (log.f64 (/.f64 y (.f64 (sin.f64 x) (sinh.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))))) (sqrt.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 y (.f64 (sin.f64 x) (sinh.f64 y)))))) (sqrt.f64 (log.f64 (/.f64 y (.f64 (sin.f64 x) (sinh.f64 y))))))
(neg.f64 (/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 (sin.f64 x))))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 2))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))) 3))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (.f64 (log.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x)))) 1))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x))))) 1/3))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))) 3))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) (sin.f64 x))))) 2))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) -1))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) 1) 1))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) (sin.f64 x)))) -1) -1))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 (sin.f64 x) y) (sinh.f64 y))) 1) -1))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (-.f64 (.f64 (log.f64 y) 1) (log.f64 (.f64 (sinh.f64 y) (sin.f64 x)))))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1) (log.f64 (sin.f64 x))))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (-.f64 (log.f64 (/.f64 y (sinh.f64 y))) (*.f64 (log.f64 (sin.f64 x)) 1)))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))
(exp.f64 (-.f64 (.f64 (log.f64 (/.f64 y (sinh.f64 y))) 1) (.f64 (log.f64 (sin.f64 x)) 1)))
(/.f64 (.f64 2 y) (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y)))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 x))
✓	0.3b	(/.f64 1 (/.f64 1 (sin.f64 x)))

Compiler

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite42.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

443×	`pow1_binary64`
426×	`add-sqr-sqrt_binary64`
418×	`*-un-lft-identity_binary64`
409×	`add-log-exp_binary64`
409×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	124	9
2	1221	9

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

663×	`unswap-sqr_binary64`
632×	`fma-def_binary64`
375×	`fma-neg_binary64`
286×	`log-prod_binary64`
244×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	446
1	280	386
2	1040	326
3	5404	326

Stop Event

1×	node limit

Counts

58 → 67

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(-.f64 (.f64 (sin.f64 (+.f64 1 x)) (cos.f64 1)) (.f64 (cos.f64 (+.f64 1 x)) (sin.f64 1)))
(*.f64 1 (sin.f64 x))
(*.f64 (sin.f64 x) 1)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 -1 (neg.f64 (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1) (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (/.f64 1 (sin.f64 x)) -1)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) 1)
(*.f64 1 (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(*.f64 -1 (/.f64 -1 (sin.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))
(pow.f64 (sin.f64 x) -1)
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(/.f64 1 x)
(+.f64 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 x 1/6 (/.f64 1 x))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 7/360 (pow.f64 x 3)) (/.f64 1 x)))
(fma.f64 1/6 x (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x)))
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 3) 7/360 (/.f64 1 x)))
(fma.f64 x (fma.f64 7/360 (*.f64 x x) 1/6) (/.f64 1 x))
(+.f64 (.f64 1/6 x) (+.f64 (.f64 31/15120 (pow.f64 x 5)) (+.f64 (*.f64 7/360 (pow.f64 x 3)) (/.f64 1 x))))
(fma.f64 1/6 x (fma.f64 31/15120 (pow.f64 x 5) (fma.f64 7/360 (pow.f64 x 3) (/.f64 1 x))))
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 5) 31/15120 (fma.f64 (pow.f64 x 3) 7/360 (/.f64 1 x))))
(fma.f64 x 1/6 (fma.f64 (pow.f64 x 3) 7/360 (fma.f64 (pow.f64 x 5) 31/15120 (/.f64 1 x))))
(fma.f64 x (fma.f64 7/360 (*.f64 x x) 1/6) (fma.f64 (pow.f64 x 5) 31/15120 (/.f64 1 x)))
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(sin.f64 x)
(-.f64 (.f64 (sin.f64 (+.f64 1 x)) (cos.f64 1)) (.f64 (cos.f64 (+.f64 1 x)) (sin.f64 1)))
(-.f64 (.f64 (sin.f64 (+.f64 x 1)) (cos.f64 1)) (.f64 (cos.f64 (+.f64 x 1)) (sin.f64 1)))
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 -1 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) -1) (pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) -1))
(sin.f64 x)
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1) (pow.f64 (pow.f64 (sin.f64 x) -1/2) -1))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(pow.f64 (/.f64 1 (sin.f64 x)) -1)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(-.f64 (+.f64 1 (/.f64 1 (sin.f64 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(*.f64 1 (/.f64 1 (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (sin.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) -2)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) -2)) (/.f64 1 (cbrt.f64 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(*.f64 (pow.f64 (sin.f64 x) -1/2) (pow.f64 (sin.f64 x) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(*.f64 -1 (/.f64 -1 (sin.f64 x)))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) -1) (pow.f64 (sqrt.f64 (sin.f64 x)) -1))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(pow.f64 (sin.f64 x) -1)
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 1 (sin.f64 x)) 1)
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (sin.f64 x))) 3)
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(pow.f64 (pow.f64 (sin.f64 x) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(sqrt.f64 (pow.f64 (sin.f64 x) -2))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(log.f64 (exp.f64 (/.f64 1 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 3))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))
(exp.f64 (neg.f64 (log.f64 (sin.f64 x))))
(+.f64 1 (-.f64 (/.f64 1 (sin.f64 x)) 1))
(+.f64 (/.f64 1 (sin.f64 x)) 0)
(/.f64 1 (sin.f64 x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 12 computations (47.8% saved)

series24.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	y	@	inf	(fma.f64 1/6 (*.f64 y y) 1)
1.0ms	x	@	0	(.f64 x (fma.f64 1/6 (.f64 y y) 1))
0.0ms	x	@	inf	(.f64 x (fma.f64 1/6 (.f64 y y) 1))
0.0ms	y	@	0	(.f64 x (fma.f64 1/6 (.f64 y y) 1))
0.0ms	x	@	-inf	(.f64 x (fma.f64 1/6 (.f64 y y) 1))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

647×	`pow1_binary64`
597×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
584×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	153	19
2	1664	19

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

518×	`times-frac_binary64`
369×	`fma-def_binary64`
329×	`log-prod_binary64`
299×	`unswap-sqr_binary64`
272×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	682
1	207	672
2	856	667
3	3747	667
4	7858	667

Stop Event

1×	node limit

Counts

70 → 51

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

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

localize37.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series8.0ms (0.1%)

Counts

3 → 52

Calls

15 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
696×	`add-log-exp_binary64`
696×	`log1p-expm1-u_binary64`
696×	`expm1-log1p-u_binary64`
682×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	161	27
2	1897	27

Stop Event

1×	node limit

Counts

3 → 37

Calls

Call 1

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

Outputs

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

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

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

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1103×	`log-prod_binary64`
587×	`fma-def_binary64`
527×	`fma-neg_binary64`
329×	`*-commutative_binary64`
208×	`log-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1089
1	366	1056
2	1423	991
3	4028	969
4	6911	969

Stop Event

1×	node limit

Counts

89 → 91

Calls

Call 1

Inputs
(*.f64 1/6 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 1/6 x))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/720 (pow.f64 x 5)) (.f64 -1/30240 (pow.f64 x 7)))))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y x))
(+.f64 (.f64 1/6 (.f64 y x)) (.f64 -1/36 (.f64 y (pow.f64 x 3))))
(+.f64 (.f64 1/6 (.f64 y x)) (+.f64 (.f64 -1/36 (.f64 y (pow.f64 x 3))) (.f64 1/720 (.f64 y (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (.f64 y x)) (+.f64 (.f64 -1/30240 (.f64 y (pow.f64 x 7))) (+.f64 (.f64 -1/36 (.f64 y (pow.f64 x 3))) (.f64 1/720 (.f64 y (pow.f64 x 5))))))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -1/30240 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5))))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(-.f64 (+.f64 1 (*.f64 1/6 (sin.f64 x))) 1)
(pow.f64 (*.f64 1/6 (sin.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 1/6 (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/6 (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 1/6 (sin.f64 x))) 2)
(sqrt.f64 (*.f64 1/36 (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 1/6) (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 1/6 (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 1/6 (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 1/6 (sin.f64 x))))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 (sin.f64 x) y))) 1)
(pow.f64 (.f64 1/6 (.f64 (sin.f64 x) y)) 1)
(pow.f64 (pow.f64 (.f64 1/6 (.f64 (sin.f64 x) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 (sin.f64 x) y))) 3)
(pow.f64 (sqrt.f64 (.f64 1/6 (.f64 (sin.f64 x) y))) 2)
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 (sin.f64 x) y)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (sin.f64 x)) y))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 (sin.f64 x) y)) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sin.f64 x)) 3) (pow.f64 y 3)))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 1/6 (sin.f64 x)) 3)))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 (sin.f64 x) y))))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 (sin.f64 x) y))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 (sin.f64 x) y))))
(-.f64 (+.f64 1 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y))) 1)
(pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y)) 1)
(pow.f64 (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y))) 3)
(pow.f64 (.f64 y (sqrt.f64 (.f64 1/6 (sin.f64 x)))) 2)
(sqrt.f64 (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y)) 2))
(log.f64 (pow.f64 (exp.f64 (.f64 y y)) (.f64 1/6 (sin.f64 x))))
(cbrt.f64 (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y)) 3))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 1/6 (*.f64 (sin.f64 x) y)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (*.f64 (sin.f64 x) y)) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y))))
(log1p.f64 (expm1.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y))))
(exp.f64 (log.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y))))

Outputs
(*.f64 1/6 x)
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (.f64 1/6 x))
(fma.f64 -1/36 (pow.f64 x 3) (*.f64 1/6 x))
(fma.f64 1/6 x (*.f64 -1/36 (pow.f64 x 3)))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/6 x (*.f64 1/720 (pow.f64 x 5))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 1/6 x)))
(fma.f64 1/6 x (fma.f64 -1/36 (pow.f64 x 3) (*.f64 1/720 (pow.f64 x 5))))
(+.f64 (.f64 -1/36 (pow.f64 x 3)) (+.f64 (.f64 1/6 x) (+.f64 (.f64 1/720 (pow.f64 x 5)) (.f64 -1/30240 (pow.f64 x 7)))))
(fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/6 x (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/30240 (pow.f64 x 7)))))
(fma.f64 1/6 x (fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/30240 (pow.f64 x 7)))))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y x))
(.f64 1/6 (.f64 x y))
(.f64 x (.f64 1/6 y))
(+.f64 (.f64 1/6 (.f64 y x)) (.f64 -1/36 (.f64 y (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x y) (.f64 (*.f64 -1/36 y) (pow.f64 x 3)))
(fma.f64 1/6 (.f64 x y) (.f64 -1/36 (*.f64 (pow.f64 x 3) y)))
(.f64 y (fma.f64 1/6 x (.f64 -1/36 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (.f64 y x)) (+.f64 (.f64 -1/36 (.f64 y (pow.f64 x 3))) (.f64 1/720 (.f64 y (pow.f64 x 5)))))
(fma.f64 1/6 (.f64 x y) (fma.f64 -1/36 (.f64 (pow.f64 x 3) y) (.f64 (.f64 1/720 y) (pow.f64 x 5))))
(fma.f64 1/6 (.f64 x y) (fma.f64 -1/36 (.f64 (pow.f64 x 3) y) (.f64 (pow.f64 x 5) (.f64 1/720 y))))
(fma.f64 (pow.f64 x 5) (.f64 1/720 y) (.f64 y (fma.f64 1/6 x (*.f64 -1/36 (pow.f64 x 3)))))
(.f64 y (fma.f64 1/6 x (fma.f64 -1/36 (pow.f64 x 3) (.f64 1/720 (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (.f64 y x)) (+.f64 (.f64 -1/30240 (.f64 y (pow.f64 x 7))) (+.f64 (.f64 -1/36 (.f64 y (pow.f64 x 3))) (.f64 1/720 (.f64 y (pow.f64 x 5))))))
(fma.f64 1/6 (.f64 x y) (fma.f64 -1/30240 (.f64 (pow.f64 x 7) y) (fma.f64 -1/36 (.f64 (pow.f64 x 3) y) (.f64 (*.f64 1/720 y) (pow.f64 x 5)))))
(fma.f64 1/6 (.f64 x y) (fma.f64 -1/30240 (.f64 (pow.f64 x 7) y) (fma.f64 -1/36 (.f64 (pow.f64 x 3) y) (.f64 (pow.f64 x 5) (*.f64 1/720 y)))))
(+.f64 (.f64 y (fma.f64 1/6 x (.f64 -1/36 (pow.f64 x 3)))) (.f64 y (fma.f64 1/720 (pow.f64 x 5) (.f64 -1/30240 (pow.f64 x 7)))))
(.f64 y (fma.f64 1/6 x (fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (.f64 -1/30240 (pow.f64 x 7))))))
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 (.f64 1/6 x) (*.f64 y y))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (.f64 -1/36 (.f64 (pow.f64 x 3) (*.f64 y y))))
(.f64 (.f64 y y) (fma.f64 1/6 x (*.f64 -1/36 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5)))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 -1/36 (.f64 (pow.f64 x 3) (.f64 y y)) (.f64 1/720 (.f64 (pow.f64 x 5) (*.f64 y y)))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 1/720 (.f64 (pow.f64 x 5) (.f64 y y)) (.f64 -1/36 (.f64 (pow.f64 x 3) (*.f64 y y)))))
(fma.f64 (pow.f64 x 5) (.f64 1/720 (.f64 y y)) (.f64 (.f64 y y) (fma.f64 1/6 x (*.f64 -1/36 (pow.f64 x 3)))))
(.f64 (.f64 y y) (fma.f64 1/6 x (fma.f64 -1/36 (pow.f64 x 3) (*.f64 1/720 (pow.f64 x 5)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 y 2) (pow.f64 x 3))) (+.f64 (.f64 -1/30240 (.f64 (pow.f64 y 2) (pow.f64 x 7))) (.f64 1/720 (.f64 (pow.f64 y 2) (pow.f64 x 5))))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 -1/36 (.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 -1/30240 (.f64 (pow.f64 x 7) (.f64 y y)) (.f64 1/720 (.f64 (pow.f64 x 5) (*.f64 y y))))))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 -1/36 (.f64 (pow.f64 x 3) (.f64 y y)) (fma.f64 1/720 (.f64 (pow.f64 x 5) (.f64 y y)) (.f64 -1/30240 (.f64 (pow.f64 x 7) (*.f64 y y))))))
(+.f64 (.f64 (.f64 y y) (fma.f64 1/6 x (.f64 -1/36 (pow.f64 x 3)))) (.f64 (.f64 y y) (fma.f64 1/720 (pow.f64 x 5) (.f64 -1/30240 (pow.f64 x 7)))))
(.f64 (.f64 y y) (fma.f64 1/6 x (fma.f64 -1/36 (pow.f64 x 3) (fma.f64 1/720 (pow.f64 x 5) (*.f64 -1/30240 (pow.f64 x 7))))))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(-.f64 (+.f64 1 (*.f64 1/6 (sin.f64 x))) 1)
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(pow.f64 (*.f64 1/6 (sin.f64 x)) 1)
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 1/6 (sin.f64 x)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 1/6 (sin.f64 x))) 3)
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 1/6 (sin.f64 x))) 2)
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(sqrt.f64 (*.f64 1/36 (pow.f64 (sin.f64 x) 2)))
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(log.f64 (pow.f64 (exp.f64 1/6) (sin.f64 x)))
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 1/6 (sin.f64 x)) 3))
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 1/6 (sin.f64 x))))
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 1/6 (sin.f64 x))))
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(exp.f64 (log.f64 (*.f64 1/6 (sin.f64 x))))
(+.f64 1 (-.f64 (*.f64 1/6 (sin.f64 x)) 1))
(+.f64 (*.f64 1/6 (sin.f64 x)) 0)
(*.f64 1/6 (sin.f64 x))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 (sin.f64 x) y))) 1)
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(pow.f64 (.f64 1/6 (.f64 (sin.f64 x) y)) 1)
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(pow.f64 (pow.f64 (.f64 1/6 (.f64 (sin.f64 x) y)) 3) 1/3)
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 (sin.f64 x) y))) 3)
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(pow.f64 (sqrt.f64 (.f64 1/6 (.f64 (sin.f64 x) y))) 2)
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(sqrt.f64 (pow.f64 (.f64 1/6 (.f64 (sin.f64 x) y)) 2))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (sin.f64 x)) y))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 (sin.f64 x) y)) 3))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sin.f64 x)) 3) (pow.f64 y 3)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 1/6 (sin.f64 x)) 3)))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 (sin.f64 x) y))))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 (sin.f64 x) y))))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(exp.f64 (log.f64 (.f64 1/6 (.f64 (sin.f64 x) y))))
(.f64 (.f64 1/6 (sin.f64 x)) y)
(.f64 1/6 (.f64 y (sin.f64 x)))
(-.f64 (+.f64 1 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y))) 1)
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y)) 1)
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(pow.f64 (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y)) 3) 1/3)
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(pow.f64 (cbrt.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y))) 3)
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(pow.f64 (.f64 y (sqrt.f64 (.f64 1/6 (sin.f64 x)))) 2)
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(sqrt.f64 (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y)) 2))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(log.f64 (pow.f64 (exp.f64 (.f64 y y)) (.f64 1/6 (sin.f64 x))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(cbrt.f64 (pow.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y)) 3))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(cbrt.f64 (.f64 (pow.f64 y 3) (pow.f64 (.f64 1/6 (*.f64 (sin.f64 x) y)) 3)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (*.f64 (sin.f64 x) y)) 3) (pow.f64 y 3)))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(expm1.f64 (log1p.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(log1p.f64 (expm1.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))
(exp.f64 (log.f64 (.f64 (.f64 1/6 (sin.f64 x)) (*.f64 y y))))
(.f64 (.f64 y y) (*.f64 1/6 (sin.f64 x)))
(.f64 1/6 (.f64 (sin.f64 x) (*.f64 y y)))
(.f64 (sin.f64 x) (.f64 1/6 (*.f64 y y)))

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 25 to 8 computations (68% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite66.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`pow1_binary64`
921×	`add-log-exp_binary64`
919×	`log1p-expm1-u_binary64`
919×	`expm1-log1p-u_binary64`
90×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	176	18
2	2519	18

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

474×	`unswap-sqr_binary64`
468×	`associate-/r/_binary64`
384×	`*-commutative_binary64`
259×	`log-prod_binary64`
247×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	2506
1	648	1926
2	2219	1300

Stop Event

1×	node limit

Counts

131 → 115

Calls

Call 1

Inputs
x
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) x)) x)))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(/.f64 1 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(.f64 2 (/.f64 y (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))) 1)
(.f64 1 (.f64 x (/.f64 (sinh.f64 y) y)))
(*.f64 x (/.f64 (sinh.f64 y) y))
(.f64 (cbrt.f64 (.f64 x (/.f64 (sinh.f64 y) y))) (cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (/.f64 (sinh.f64 y) y)) 2)) (cbrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))
(.f64 (sqrt.f64 (.f64 x (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))
(.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (sinh.f64 y) y) x)
(*.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (/.f64 1 x) -1))
(.f64 (.f64 x (/.f64 (sinh.f64 y) y)) 1)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) x))) -1))
(.f64 (pow.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) x))) -1) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) x))) -1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 y (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 y (sinh.f64 y))))
(.f64 (/.f64 1 y) (.f64 (sinh.f64 y) x))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 x (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 x (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (sinh.f64 y)))))
(*.f64 (/.f64 x 1) (/.f64 (sinh.f64 y) y))
(*.f64 (/.f64 x y) (sinh.f64 y))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (/.f64 (neg.f64 y) (sinh.f64 y))) (neg.f64 x))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) 1) x)
(.f64 (.f64 (/.f64 (sinh.f64 y) y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(.f64 (.f64 (/.f64 (sinh.f64 y) y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) -1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sinh.f64 y) y))) 2)
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 1)
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sinh.f64 y) y))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) x)))) 1)
(.f64 1 (/.f64 y (.f64 (sinh.f64 y) x)))
(.f64 y (/.f64 1 (.f64 (sinh.f64 y) x)))
(.f64 y (.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 x)))
(*.f64 (/.f64 y (sinh.f64 y)) (/.f64 1 x))
(.f64 (/.f64 y (.f64 (sinh.f64 y) x)) 1)
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 1 x)))
(.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) x))))
(.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (/.f64 1 x)))
(.f64 (sqrt.f64 (/.f64 y (.f64 (sinh.f64 y) x))) (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (neg.f64 y) (sinh.f64 y)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (/.f64 y (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
(*.f64 (/.f64 y 1) (/.f64 (/.f64 1 (sinh.f64 y)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 x)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (sinh.f64 y)) (cbrt.f64 x)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) x))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 1 (sinh.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 x)))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) 1)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) x))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) x))) 2)
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) -1)
(neg.f64 (/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) 2))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) x)))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) x))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) x))))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) x))))

Outputs
x
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 1/6 (.f64 x (.f64 y y)) x)
(.f64 x (fma.f64 1/6 (.f64 y y) 1))
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (*.f64 x (pow.f64 y 4)) x))
(fma.f64 x (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) x)
(+.f64 (.f64 1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 1/6 (.f64 x (.f64 y y)) (fma.f64 1/120 (.f64 x (pow.f64 y 4)) (fma.f64 1/5040 (.f64 x (pow.f64 y 6)) x)))
(fma.f64 x (fma.f64 1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (*.f64 x (fma.f64 1/5040 (pow.f64 y 6) 1)))
(.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 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x) y))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (/.f64 y x)))
(*.f64 (sinh.f64 y) (/.f64 x y))
(/.f64 1 x)
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(fma.f64 -1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))
(fma.f64 -1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))
(fma.f64 -1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x)))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -1/6 (*.f64 (/.f64 y x) y) (/.f64 1 x)))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 -1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 -31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 -1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))))
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(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) 1) (/.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) x))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 1) (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) x))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 y (sinh.f64 y)) (cbrt.f64 x)))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(*.f64 (/.f64 y (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (sinh.f64 y)) (cbrt.f64 x)))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 y (.f64 (sinh.f64 y) x))))
(.f64 (cbrt.f64 (/.f64 y (.f64 x (sinh.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 y (*.f64 x (sinh.f64 y))))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) (cbrt.f64 x)))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 y (sinh.f64 y)) (sqrt.f64 x)))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(*.f64 (/.f64 y (sqrt.f64 x)) (/.f64 (/.f64 1 (sinh.f64 y)) (sqrt.f64 x)))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 y (sinh.f64 y))) (sqrt.f64 x)))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) 1)
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) 3) 1/3)
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sinh.f64 y) x))) 3)
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sinh.f64 y) x))) 2)
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(pow.f64 (*.f64 x (/.f64 (sinh.f64 y) y)) -1)
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(neg.f64 (/.f64 (/.f64 y (sinh.f64 y)) (neg.f64 x)))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) 2))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sinh.f64 y) x))))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) x)))))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sinh.f64 y) x)) 3))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3) (pow.f64 x 3)))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sinh.f64 y) x))))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sinh.f64 y) x))))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sinh.f64 y) x))))
(/.f64 (.f64 2 y) (.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(/.f64 y (*.f64 x (sinh.f64 y)))

eval255.0ms (3.2%)

Compiler: Compiled 10488 to 5131 computations (51.1% saved)

prune204.0ms (2.5%)

Pruning

23 alts after pruning (15 fresh and 8 done)

	Pruned	Kept	Total
New	703	14	717
Fresh	0	1	1
Picked	0	1	1
Done	1	7	8
Total	704	23	727

Error

Counts

727 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	58.6b	(/.f64 (sin.f64 x) (/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
✓	1.5b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
✓	0.2b	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
✓	35.7b	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) x))
	36.2b	(/.f64 1 (/.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) x))
✓	2.0b	(/.f64 1 (/.f64 1 (sin.f64 x)))
▶	36.3b	(/.f64 1 (/.f64 1 x))
▶	35.7b	(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
▶	26.9b	(-.f64 (+.f64 1 (sin.f64 x)) 1)
	36.1b	(+.f64 (.f64 (.f64 1/6 (*.f64 y y)) x) x)
	35.6b	(*.f64 (/.f64 (sinh.f64 y) y) x)
	61.1b	(.f64 (.f64 1/6 x) (*.f64 y y))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	1.4b	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	60.7b	(.f64 y (.f64 y (*.f64 1/6 (sin.f64 x))))
▶	61.1b	(.f64 y (.f64 y (*.f64 1/6 x)))
	61.1b	(.f64 y (.f64 x (*.f64 1/6 y)))
	61.1b	(.f64 y (.f64 1/6 (*.f64 y x)))
▶	61.1b	(.f64 x (.f64 1/6 (*.f64 y y)))
	61.1b	(.f64 1/6 (.f64 y (*.f64 y x)))
	61.1b	(.f64 1/6 (.f64 x (*.f64 y y)))
✓	1.8b	(sin.f64 x)
	36.2b	x

Compiler

Compiled 353 to 252 computations (28.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 1 (sin.f64 x))
✓	2.4b	(-.f64 (+.f64 1 (sin.f64 x)) 1)

Compiler

Compiled 16 to 10 computations (37.5% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

494×	`associate-/l*_binary64`
476×	`cancel-sign-sub-inv_binary64`
336×	`associate-/r*_binary64`
319×	`fma-neg_binary64`
300×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	166	836
1	413	801
2	1854	801

Stop Event

1×	node limit

Counts

88 → 99

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
1
(+.f64 1 x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 1 (+.f64 (sin.f64 x) -1))
(+.f64 1 (*.f64 (+.f64 (sin.f64 x) -1) 1))
(+.f64 (sin.f64 x) 0)
(+.f64 (+.f64 1 (sin.f64 x)) -1)
(+.f64 -1 (+.f64 1 (sin.f64 x)))
(+.f64 (+.f64 (sin.f64 x) -1) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (sin.f64 x) 1)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (+.f64 (sin.f64 x) 2))))
(.f64 (.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x)) (/.f64 1 (+.f64 (sin.f64 x) 2)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (+.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (sin.f64 x) 2) (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (+.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (sin.f64 x)) -1))))
(/.f64 (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x)) (+.f64 (sin.f64 x) 2))
(/.f64 (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x)) (-.f64 (+.f64 1 (sin.f64 x)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (+.f64 (sin.f64 x) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x))) (neg.f64 (+.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sin.f64 x) -1) (+.f64 (sin.f64 x) -1)) (+.f64 (sin.f64 x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (sin.f64 x) -1) (+.f64 (sin.f64 x) -1))) (-.f64 1 (+.f64 (sin.f64 x) -1)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(fma.f64 1 (+.f64 1 (sin.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 2) (cbrt.f64 (+.f64 1 (sin.f64 x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) (sqrt.f64 (+.f64 1 (sin.f64 x))) -1)
(-.f64 (+.f64 (sin.f64 x) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (sin.f64 x))))
(*.f64 1 (+.f64 1 (sin.f64 x)))
(*.f64 (+.f64 1 (sin.f64 x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 2) (cbrt.f64 (+.f64 1 (sin.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 2) (.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 1))
(*.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) (sqrt.f64 (+.f64 1 (sin.f64 x))))
(.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) (.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) 1))
(.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1)))))
(.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (sin.f64 x))))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))) (+.f64 1 (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (-.f64 1 (sin.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1)))))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (cos.f64 x))) (neg.f64 (-.f64 1 (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 (sin.f64 x) -1))
(/.f64 (.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) 1) (+.f64 1 (.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))))
(/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) 1) (-.f64 1 (sin.f64 x)))
(pow.f64 (+.f64 1 (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) 2)
(pow.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 1 (sin.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3))
(expm1.f64 (log.f64 (+.f64 (sin.f64 x) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (sin.f64 x))))
(exp.f64 (log1p.f64 (sin.f64 x)))
(fma.f64 1 (sin.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) 1)
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) 1)

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
(sin.f64 x)
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 1 x))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x 1))
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) x) 1)
(+.f64 x (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 1 (+.f64 (.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 (fma.f64 1/120 (pow.f64 x 5) x) 1))
(+.f64 (fma.f64 1/120 (pow.f64 x 5) x) (fma.f64 -1/6 (pow.f64 x 3) 1))
(+.f64 1 (+.f64 (sin.f64 x) -1))
(sin.f64 x)
(+.f64 1 (*.f64 (+.f64 (sin.f64 x) -1) 1))
(sin.f64 x)
(+.f64 (sin.f64 x) 0)
(sin.f64 x)
(+.f64 (+.f64 1 (sin.f64 x)) -1)
(sin.f64 x)
(+.f64 -1 (+.f64 1 (sin.f64 x)))
(sin.f64 x)
(+.f64 (+.f64 (sin.f64 x) -1) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (+.f64 (sin.f64 x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 2) (+.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 2) (+.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (+.f64 1 (*.f64 (+.f64 (sin.f64 x) 1) (+.f64 (sin.f64 x) 2))))
(.f64 (.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x)) (/.f64 1 (+.f64 (sin.f64 x) 2)))
(sin.f64 x)
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) 1) (-.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) 1))
(sin.f64 x)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (+.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 2) (+.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 2) (+.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (+.f64 1 (*.f64 (+.f64 (sin.f64 x) 1) (+.f64 (sin.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 x) 2) (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x))))
(sin.f64 x)
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (+.f64 (sin.f64 x) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 2) (+.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 2) (+.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (+.f64 1 (*.f64 (+.f64 (sin.f64 x) 1) (+.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (-.f64 1 (*.f64 (+.f64 1 (sin.f64 x)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 2) (+.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 2) (+.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (+.f64 1 (*.f64 (+.f64 (sin.f64 x) 1) (+.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x)) (+.f64 (sin.f64 x) 2))
(sin.f64 x)
(/.f64 (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x)) (-.f64 (+.f64 1 (sin.f64 x)) -1))
(sin.f64 x)
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2) (+.f64 (sin.f64 x) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 2) (+.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (+.f64 (pow.f64 (+.f64 (sin.f64 x) 1) 2) (+.f64 (sin.f64 x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 (sin.f64 x) 1) 3)) (+.f64 1 (*.f64 (+.f64 (sin.f64 x) 1) (+.f64 (sin.f64 x) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 x) 2) (sin.f64 x))) (neg.f64 (+.f64 (sin.f64 x) 2)))
(sin.f64 x)
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 x) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (sin.f64 x) -1) (+.f64 (sin.f64 x) -1)) (+.f64 (sin.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 x) -1) 3)) (+.f64 1 (*.f64 (+.f64 (sin.f64 x) -1) (-.f64 (+.f64 (sin.f64 x) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (sin.f64 x) -1) 3)) (+.f64 1 (*.f64 (+.f64 (sin.f64 x) -1) (+.f64 -1 (+.f64 (sin.f64 x) -1)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (sin.f64 x) -1) (+.f64 (sin.f64 x) -1))) (-.f64 1 (+.f64 (sin.f64 x) -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 (sin.f64 x) -1) (-.f64 1 (sin.f64 x)))) (-.f64 2 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(fma.f64 1 (+.f64 1 (sin.f64 x)) -1)
(sin.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 2) (cbrt.f64 (+.f64 1 (sin.f64 x))) -1)
(sin.f64 x)
(fma.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) (sqrt.f64 (+.f64 1 (sin.f64 x))) -1)
(sin.f64 x)
(-.f64 (+.f64 (sin.f64 x) 2) 1)
(+.f64 (sin.f64 x) 1)
(-.f64 (/.f64 1 (-.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (sin.f64 x))))
(*.f64 1 (+.f64 1 (sin.f64 x)))
(+.f64 (sin.f64 x) 1)
(*.f64 (+.f64 1 (sin.f64 x)) 1)
(+.f64 (sin.f64 x) 1)
(*.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 2))
(+.f64 (sin.f64 x) 1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 2) (cbrt.f64 (+.f64 1 (sin.f64 x))))
(+.f64 (sin.f64 x) 1)
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 2) (.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 1))
(+.f64 (sin.f64 x) 1)
(*.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) (sqrt.f64 (+.f64 1 (sin.f64 x))))
(+.f64 (sin.f64 x) 1)
(.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) (.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) 1))
(+.f64 (sin.f64 x) 1)
(.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (/.f64 1 (+.f64 1 (.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1)))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1) 1))
(.f64 (.f64 (cos.f64 x) (cos.f64 x)) (/.f64 1 (-.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (-.f64 1 (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (sin.f64 x))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 1 (sin.f64 x)) (cos.f64 x)))
(/.f64 1 (/.f64 (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))) (+.f64 1 (pow.f64 (sin.f64 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1) 1))
(/.f64 1 (/.f64 (-.f64 1 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (-.f64 1 (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (sin.f64 x))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 1 (sin.f64 x)) (cos.f64 x)))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 1 (sin.f64 x))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1) 1))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (-.f64 1 (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (sin.f64 x))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 1 (sin.f64 x)) (cos.f64 x)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3))) (neg.f64 (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1)))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1) 1))
(/.f64 (neg.f64 (*.f64 (cos.f64 x) (cos.f64 x))) (neg.f64 (-.f64 1 (sin.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (-.f64 1 (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (sin.f64 x))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 1 (sin.f64 x)) (cos.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) 1) (+.f64 (sin.f64 x) -1))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (-.f64 1 (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (sin.f64 x))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 1 (sin.f64 x)) (cos.f64 x)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) 1) (+.f64 1 (.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (+.f64 1 (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1))))
(/.f64 (+.f64 1 (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) -1) 1))
(/.f64 (.f64 (.f64 (cos.f64 x) (cos.f64 x)) 1) (-.f64 1 (sin.f64 x)))
(/.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (-.f64 1 (sin.f64 x)))
(*.f64 (cos.f64 x) (/.f64 (cos.f64 x) (-.f64 1 (sin.f64 x))))
(/.f64 (cos.f64 x) (/.f64 (-.f64 1 (sin.f64 x)) (cos.f64 x)))
(pow.f64 (+.f64 1 (sin.f64 x)) 1)
(+.f64 (sin.f64 x) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sin.f64 x))) 3)
(+.f64 (sin.f64 x) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (sin.f64 x))) 2)
(+.f64 (sin.f64 x) 1)
(pow.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3) 1/3)
(+.f64 (sin.f64 x) 1)
(sqrt.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 2))
(+.f64 (sin.f64 x) 1)
(log.f64 (exp.f64 (+.f64 1 (sin.f64 x))))
(+.f64 (sin.f64 x) 1)
(cbrt.f64 (pow.f64 (+.f64 1 (sin.f64 x)) 3))
(+.f64 (sin.f64 x) 1)
(expm1.f64 (log.f64 (+.f64 (sin.f64 x) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (sin.f64 x))))
(+.f64 (sin.f64 x) 1)
(exp.f64 (log1p.f64 (sin.f64 x)))
(fma.f64 1 (sin.f64 x) 1)
(+.f64 (sin.f64 x) 1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) 1)
(+.f64 (sin.f64 x) 1)
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) 1)
(+.f64 (sin.f64 x) 1)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

432×	`associate-/l*_binary64`
416×	`associate-l_binary64`
369×	`associate-r_binary64`
367×	`log-prod_binary64`
231×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	218
1	254	218
2	748	210
3	4184	210

Stop Event

1×	node limit

Counts

59 → 54

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 0 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 0 x)
(-.f64 (+.f64 1 x) 1)
(*.f64 1 x)
(*.f64 x 1)
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 -1 x)
(*.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))
(*.f64 (pow.f64 1 1/3) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (*.f64 x x) 1/2)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (pow.f64 x -2) -1/2)
(pow.f64 (pow.f64 x -3) -1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (/.f64 1 (cbrt.f64 x)) -3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x -1/2) -2)
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 0 x)
x
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
x
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 0 x)
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)))
x
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))
x
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))
x
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (cbrt.f64 (pow.f64 x 5/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)))
(*.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 5/2))
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))
x
(*.f64 (pow.f64 1 1/3) x)
x
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (cbrt.f64 (pow.f64 x 5/2)))
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (pow.f64 x -2) -1/2)
(pow.f64 (pow.f64 x -3) -1/3)
(*.f64 (pow.f64 (pow.f64 x -3) -1/6) (pow.f64 (pow.f64 x -3) -1/6))
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (/.f64 1 (cbrt.f64 x)) -3)
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (pow.f64 x -1/2) -2)
x
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
x
(log.f64 (exp.f64 x))
x
(cbrt.f64 (pow.f64 x 3))
x
(expm1.f64 (log1p.f64 x))
x
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1/3))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
x

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 1/6 (.f64 y y))
✓	6.9b	(.f64 x (.f64 1/6 (*.f64 y y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-l_binary64`
640×	`associate-r_binary64`
511×	`distribute-rgt-in_binary64`
500×	`distribute-lft-in_binary64`
297×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	350
1	109	350
2	417	350
3	3305	350
4	7656	350

Stop Event

1×	node limit

Counts

35 → 14

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series12.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(.f64 y (.f64 1/6 x))
1.0ms	x	@	-inf	(.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	x	@	0	(*.f64 1/6 x)

rewrite43.0ms (0.5%)

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)))))))

simplify55.0ms (0.7%)

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)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/6 x) (/.f64 1 x))
✓	0.2b	(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
	0.3b	(*.f64 1/6 x)

Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
807×	`add-log-exp_binary64`
807×	`log1p-expm1-u_binary64`
807×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	175	19
2	2285	19

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

643×	`unswap-sqr_binary64`
606×	`fma-neg_binary64`
412×	`log-div_binary64`
387×	`fma-def_binary64`
323×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1373
1	434	1161
2	1520	1011
3	7276	1011

Stop Event

1×	node limit

Counts

77 → 105

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/36 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)))
(/.f64 6 x)
(-.f64 (.f64 6 (/.f64 1 x)) (.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 x 7))) (.f64 36 (/.f64 1 (pow.f64 x 3)))))
(/.f64 6 x)
(-.f64 (.f64 6 (/.f64 1 x)) (.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 x 7))) (.f64 36 (/.f64 1 (pow.f64 x 3)))))
(/.f64 1 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1))
(.f64 (/.f64 1 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))))
(.f64 (/.f64 1 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (-.f64 (.f64 1/6 x) (/.f64 1 x)))
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1)
(pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 3) 1/3)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(-.f64 (+.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1)
(-.f64 (/.f64 (.f64 1/36 (.f64 x x)) (-.f64 (.f64 1/6 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (.f64 1/6 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 1/6 x (/.f64 1 x)))
(*.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(*.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))))
(.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x)))))
(.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/6 x) (/.f64 1 x))))
(/.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/6 x) x))) (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/6 x) (/.f64 1 x)) (-.f64 (.f64 1/36 (*.f64 x x)) (pow.f64 x -2))))
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(/.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2))
(/.f64 (neg.f64 (fma.f64 1/6 x (/.f64 1 x))) -1)
(/.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/6 x) x))))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/36 (.f64 x x)) (/.f64 (.f64 1/6 x) x))))
(/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/6 x) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/36 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/6 x)))
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x))))
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/6 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 x)) 2) (cbrt.f64 (.f64 1/6 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x))
(fma.f64 (sqrt.f64 (.f64 1/6 x)) (sqrt.f64 (.f64 1/6 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/36 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/216 (pow.f64 x 7)) (+.f64 (*.f64 1/36 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/216 (pow.f64 x 7) (fma.f64 1/36 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/36 (pow.f64 x 5) (fma.f64 -1/216 (pow.f64 x 7) x)))
(/.f64 6 x)
(-.f64 (.f64 6 (/.f64 1 x)) (.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 6 x) (/.f64 36 (pow.f64 x 3)))
(+.f64 (/.f64 6 x) (/.f64 -36 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 6 x) (/.f64 216 (pow.f64 x 5))) (/.f64 36 (pow.f64 x 3)))
(+.f64 (/.f64 6 x) (+.f64 (/.f64 216 (pow.f64 x 5)) (/.f64 -36 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 x 7))) (.f64 36 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 6 x) (/.f64 216 (pow.f64 x 5))) (+.f64 (/.f64 36 (pow.f64 x 3)) (/.f64 1296 (pow.f64 x 7))))
(+.f64 (/.f64 6 x) (-.f64 (-.f64 (/.f64 216 (pow.f64 x 5)) (/.f64 1296 (pow.f64 x 7))) (/.f64 36 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 216 (pow.f64 x 5)) (/.f64 -1296 (pow.f64 x 7))) (-.f64 (/.f64 36 (pow.f64 x 3)) (/.f64 6 x)))
(/.f64 6 x)
(-.f64 (.f64 6 (/.f64 1 x)) (.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (/.f64 6 x) (/.f64 36 (pow.f64 x 3)))
(+.f64 (/.f64 6 x) (/.f64 -36 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 216 (/.f64 1 (pow.f64 x 5)))) (*.f64 36 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 6 x) (/.f64 216 (pow.f64 x 5))) (/.f64 36 (pow.f64 x 3)))
(+.f64 (/.f64 6 x) (+.f64 (/.f64 216 (pow.f64 x 5)) (/.f64 -36 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 x)) (.f64 216 (/.f64 1 (pow.f64 x 5)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 x 7))) (.f64 36 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (+.f64 (/.f64 6 x) (/.f64 216 (pow.f64 x 5))) (+.f64 (/.f64 36 (pow.f64 x 3)) (/.f64 1296 (pow.f64 x 7))))
(+.f64 (/.f64 6 x) (-.f64 (-.f64 (/.f64 216 (pow.f64 x 5)) (/.f64 1296 (pow.f64 x 7))) (/.f64 36 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 216 (pow.f64 x 5)) (/.f64 -1296 (pow.f64 x 7))) (-.f64 (/.f64 36 (pow.f64 x 3)) (/.f64 6 x)))
(/.f64 1 x)
(*.f64 1/6 x)
(*.f64 x 1/6)
(*.f64 1/6 x)
(*.f64 x 1/6)
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(*.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(*.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2)))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/6 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/6 (/.f64 1 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/6 (/.f64 1 x)) -2)) (cbrt.f64 (fma.f64 x 1/6 (/.f64 1 x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2)) (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x 1/6 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (fma.f64 x 1/6 (/.f64 1 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/6 (/.f64 1 x)) -2)) (cbrt.f64 (fma.f64 x 1/6 (/.f64 1 x))))
(*.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1) (pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(.f64 (/.f64 1 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x))))
(.f64 (/.f64 1 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))) (fma.f64 1/36 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/6) x))))
(/.f64 (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6)) (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)))
(/.f64 (+.f64 -1/6 (fma.f64 x (*.f64 x 1/36) (pow.f64 x -2))) (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)))
(.f64 (/.f64 1 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (-.f64 (.f64 1/6 x) (/.f64 1 x)))
(.f64 (/.f64 1 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (-.f64 (.f64 x 1/6) (/.f64 1 x)))
(/.f64 (fma.f64 x 1/6 (/.f64 -1 x)) (-.f64 (.f64 x (.f64 x 1/36)) (pow.f64 x -2)))
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) 3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 3))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 (fma.f64 x 1/6 (/.f64 1 x))) 0)
(/.f64 -1 (fma.f64 x -1/6 (/.f64 -1 x)))
(-.f64 (+.f64 1 (fma.f64 1/6 x (/.f64 1 x))) 1)
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(-.f64 (/.f64 (.f64 1/36 (.f64 x x)) (-.f64 (.f64 1/6 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (.f64 1/6 x) (/.f64 1 x))))
(/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/6) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/36)) (pow.f64 x -2)) (fma.f64 x 1/6 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x)))
(*.f64 1 (fma.f64 1/6 x (/.f64 1 x)))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(*.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(*.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (/.f64 1 (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 1/6 x) x)))))
(.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/36 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/6) x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 -1/6 (fma.f64 x (*.f64 x 1/36) (pow.f64 x -2))))
(.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (-.f64 (.f64 1/6 x) (/.f64 1 x))))
(/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/6) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/36)) (pow.f64 x -2)) (fma.f64 x 1/6 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x)))
(/.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(/.f64 1 (/.f64 (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/6 x) x))) (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))))
(.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/36 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/6) x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 -1/6 (fma.f64 x (*.f64 x 1/36) (pow.f64 x -2))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/6 x) (/.f64 1 x)) (-.f64 (.f64 1/36 (*.f64 x x)) (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/6) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/36)) (pow.f64 x -2)) (fma.f64 x 1/6 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x)))
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(/.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) -1/2))
(/.f64 (sqrt.f64 (fma.f64 x 1/6 (/.f64 1 x))) (pow.f64 (fma.f64 x 1/6 (/.f64 1 x)) -1/2))
(/.f64 (neg.f64 (fma.f64 1/6 x (/.f64 1 x))) -1)
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/6 x) x))))
(.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/36 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/6) x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 -1/6 (fma.f64 x (*.f64 x 1/36) (pow.f64 x -2))))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (-.f64 (.f64 1/36 (.f64 x x)) (/.f64 (.f64 1/6 x) x))))
(.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/36 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/6) x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 -1/6 (fma.f64 x (*.f64 x 1/36) (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 1/6 x) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/6) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/36)) (pow.f64 x -2)) (fma.f64 x 1/6 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (neg.f64 (+.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 (.f64 1/6 x) x)))))
(.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (/.f64 1 (fma.f64 1/36 (.f64 x x) (-.f64 (pow.f64 x -2) (/.f64 (*.f64 x 1/6) x)))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 1/36 (*.f64 x x) -1/6)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/216 (pow.f64 x -3)) (+.f64 -1/6 (fma.f64 x (*.f64 x 1/36) (pow.f64 x -2))))
(/.f64 (neg.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (neg.f64 (-.f64 (*.f64 1/6 x) (/.f64 1 x))))
(/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/6) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/36)) (pow.f64 x -2)) (fma.f64 x 1/6 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x)))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 1/36 (.f64 x x))) (-.f64 (/.f64 1 x) (*.f64 1/6 x)))
(/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (-.f64 (*.f64 x 1/6) (/.f64 1 x)))
(/.f64 (-.f64 (.f64 x (.f64 x 1/36)) (pow.f64 x -2)) (fma.f64 x 1/6 (/.f64 -1 x)))
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x)))
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3)
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3)
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x))))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x))))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 1 (*.f64 1/6 x) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/6 x))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 x 1/6 (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 x)) 2) (cbrt.f64 (.f64 1/6 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 x 1/6))
(fma.f64 x 1/6 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (sqrt.f64 (.f64 1/6 x)) (sqrt.f64 (.f64 1/6 x)) (/.f64 1 x))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x))
(+.f64 1 (-.f64 (fma.f64 x 1/6 (/.f64 1 x)) 1))
(+.f64 (fma.f64 x 1/6 (/.f64 1 x)) 0)
(fma.f64 x 1/6 (/.f64 1 x))

eval127.0ms (1.6%)

Compiler: Compiled 4388 to 3070 computations (30% saved)

prune72.0ms (0.9%)

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	369	8	377
Fresh	1	9	10
Picked	0	1	1
Done	3	9	12
Total	373	27	400

Error

Counts

400 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	58.6b	(/.f64 (sin.f64 x) (/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
✓	1.5b	(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
	61.8b	(/.f64 6 x)
✓	0.2b	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
✓	35.7b	(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) x))
	36.2b	(/.f64 1 (/.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) x))
✓	2.0b	(/.f64 1 (/.f64 1 (sin.f64 x)))
✓	35.7b	(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
	61.8b	(/.f64 1 (*.f64 x 1/6))
	60.8b	(-.f64 (+.f64 x 1) 1)
	61.2b	(-.f64 (+.f64 1 (.f64 (.f64 (*.f64 y y) 1/6) x)) 1)
	26.9b	(+.f64 (+.f64 (sin.f64 x) -1) 1)
	36.1b	(+.f64 (.f64 (.f64 1/6 (*.f64 y y)) x) x)
	35.6b	(*.f64 (/.f64 (sinh.f64 y) y) x)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	1.4b	(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
✓	60.7b	(.f64 y (.f64 y (*.f64 1/6 (sin.f64 x))))
✓	61.1b	(.f64 y (.f64 y (*.f64 1/6 x)))
	61.1b	(.f64 y (.f64 x (*.f64 1/6 y)))
	61.1b	(.f64 y (.f64 1/6 (*.f64 y x)))
	61.1b	(.f64 x (.f64 (*.f64 1/6 y) y))
	61.1b	(.f64 1/6 (.f64 y (*.f64 y x)))
	61.1b	(.f64 1/6 (.f64 x (*.f64 y y)))
✓	1.8b	(sin.f64 x)
	61.6b	(neg.f64 x)
	36.8b	(expm1.f64 (log1p.f64 x))
	36.2b	x

Compiler

Compiled 241 to 176 computations (27% saved)

regimes81.0ms (1%)

Counts

35 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(/.f64 6 x)
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (*.f64 x 1/6))
(/.f64 1 (/.f64 1 x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 x (.f64 (*.f64 1/6 y) y))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 x (*.f64 1/6 y)))
(.f64 y (.f64 y (*.f64 1/6 x)))
(.f64 (.f64 1/6 x) (*.f64 y y))
(+.f64 (.f64 (.f64 1/6 (*.f64 y y)) x) x)
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 (.f64 (*.f64 y y) 1/6) x)) 1)
(/.f64 1 (/.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) x))
(sin.f64 x)
(*.f64 (/.f64 (sinh.f64 y) y) x)
(+.f64 (+.f64 (sin.f64 x) -1) 1)
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(/.f64 1 (/.f64 1 (sin.f64 x)))
(.f64 x (fma.f64 1/6 (.f64 y y) 1))
(.f64 y (.f64 y (*.f64 1/6 (sin.f64 x))))
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(expm1.f64 (log1p.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
(/.f64 (sin.f64 x) (/.f64 y (sinh.f64 y)))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 x) (sinh.f64 y))))
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) (sin.f64 x)))
(/.f64 (sin.f64 x) (/.f64 y (-.f64 (+.f64 1 (sinh.f64 y)) 1)))
(/.f64 (sin.f64 x) (/.f64 y (*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))

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

Calls

5 calls:

21.0ms	y
17.0ms	(sin.f64 x)
16.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
16.0ms	x
4.0ms	(/.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 274 to 151 computations (44.9% saved)

regimes53.0ms (0.7%)

Counts

29 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(/.f64 6 x)
(-.f64 (+.f64 x 1) 1)
(/.f64 1 (*.f64 x 1/6))
(/.f64 1 (/.f64 1 x))
(.f64 1/6 (.f64 x (*.f64 y y)))
(.f64 1/6 (.f64 y (*.f64 y x)))
(.f64 x (.f64 1/6 (*.f64 y y)))
(.f64 x (.f64 (*.f64 1/6 y) y))
(.f64 y (.f64 1/6 (*.f64 y x)))
(.f64 y (.f64 x (*.f64 1/6 y)))
(.f64 y (.f64 y (*.f64 1/6 x)))
(.f64 (.f64 1/6 x) (*.f64 y y))
(+.f64 (.f64 (.f64 1/6 (*.f64 y y)) x) x)
(/.f64 1 (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 (.f64 (*.f64 y y) 1/6) x)) 1)
(/.f64 1 (/.f64 (+.f64 1 (.f64 -1/6 (.f64 y y))) x))
(sin.f64 x)
(*.f64 (/.f64 (sinh.f64 y) y) x)
(+.f64 (+.f64 (sin.f64 x) -1) 1)
(-.f64 (+.f64 1 (sin.f64 x)) 1)
(/.f64 1 (/.f64 1 (sin.f64 x)))
(.f64 x (fma.f64 1/6 (.f64 y y) 1))
(.f64 y (.f64 y (*.f64 1/6 (sin.f64 x))))
(/.f64 1 (/.f64 (/.f64 y (sinh.f64 y)) x))
(.f64 (sin.f64 x) (+.f64 1 (.f64 1/6 (*.f64 y y))))
(/.f64 (sin.f64 x) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(expm1.f64 (log1p.f64 x))

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

Calls

4 calls:

15.0ms	(sin.f64 x)
15.0ms	x
14.0ms	y
3.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
1.4b	1	`x`
1.4b	1	`y`
1.4b	1	`(sin.f64 x)`
1.4b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 208 to 122 computations (41.3% saved)

regimes47.0ms (0.6%)

Counts

26 → 1

Calls

Call 1

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

Outputs
(sin.f64 x)

Calls

4 calls:

13.0ms	y
12.0ms	(sin.f64 x)
12.0ms	x
4.0ms	(/.f64 (sinh.f64 y) y)

Results

Error	Segments	Branch
1.8b	1	`x`
1.8b	1	`y`
1.8b	1	`(sin.f64 x)`
1.8b	1	`(/.f64 (sinh.f64 y) y)`

Compiler

Compiled 185 to 110 computations (40.5% saved)

regimes27.0ms (0.3%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
10.0ms	y

Results

Error	Segments	Branch
35.7b	1	`x`
35.7b	1	`y`

Compiler

Compiled 125 to 75 computations (40% saved)

regimes20.0ms (0.3%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	y
8.0ms	x

Results

Error	Segments	Branch
36.1b	1	`x`
36.1b	1	`y`

Compiler

Compiled 94 to 54 computations (42.6% saved)

regimes23.0ms (0.3%)

Accuracy

Total -26.8b remaining (-74%)

Threshold costs -26.8b (-74%)

Counts

14 → 1

Calls

Call 1

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

Outputs
x

Calls

2 calls:

9.0ms	y
7.0ms	x

Results

Error	Segments	Branch
36.2b	1	`x`
36.2b	1	`y`

Compiler

Compiled 85 to 50 computations (41.2% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	56
1	29	56

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 50 to 36 computations (28% saved)

soundness0.0ms (0%)

end38.0ms (0.5%)

Compiler: Compiled 40 to 23 computations (42.5% saved)