Details

analyze152.0ms (1.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample4.2s (46.9%)

Results

1.8s	6886×	body	256	valid
1.0s	2055×	body	1024	invalid
451.0ms	677×	body	1024	valid
286.0ms	996×	body	512	invalid
270.0ms	1637×	body	256	invalid
225.0ms	693×	body	512	valid

preprocess92.0ms (1%)

Algorithm

2×	egg-herbie

Rules

948×	`fma-def_binary64`
671×	`div-sub_binary64`
530×	`associate-/r*_binary64`
507×	`associate-*l/_binary64`
391×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	67	22
3	148	22
4	344	22
5	920	22
6	2905	22
7	7648	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

835×	`fma-neg_binary64`
544×	`times-frac_binary64`
474×	`fma-def_binary64`
463×	`associate-/l*_binary64`
344×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	37	11
3	79	11
4	178	11
5	473	11
6	1474	11
7	5818	11

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
▶	14.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize20.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (sinh.f64 y) x)
✓	0.0b	(sinh.f64 y)
✓	0.4b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series27.0ms (0.3%)

Counts

3 → 60

Calls

15 calls:

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

rewrite108.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
773×	`add-log-exp_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
755×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	149	20
2	2027	20

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

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

Outputs

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

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

simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

485×	`associate-/l*_binary64`
459×	`times-frac_binary64`
332×	`associate-+l+_binary64`
324×	`*-commutative_binary64`
307×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	79	1186
1	211	1178
2	588	1090
3	2136	1051
4	6541	1039

Stop Event

1×	node limit

Counts

134 → 108

Calls

Call 1

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

Outputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 x x))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (*.f64 x x))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (pow.f64 x 4) 1/240))))
(fma.f64 (.f64 x x) (fma.f64 (exp.f64 y) -1/12 (/.f64 1/12 (exp.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (*.f64 1/240 (pow.f64 x 4)) 1/2)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/240) -1/12))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (fma.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 6)) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4))))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (fma.f64 1/240 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (*.f64 (pow.f64 x 6) -1/10080)))))
(+.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 -1/12 (.f64 x x)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 1/240 (pow.f64 x 4)) (.f64 -1/10080 (pow.f64 x 6)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (+.f64 1/2 (.f64 -1/12 (.f64 x x))) (+.f64 (.f64 1/240 (pow.f64 x 4)) (*.f64 -1/10080 (pow.f64 x 6)))))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/240) -1/12)) (.f64 -1/10080 (pow.f64 x 6)))))
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(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(*.f64 1/2 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x))
(/.f64 (fma.f64 1/2 (exp.f64 y) (/.f64 -1/2 (exp.f64 y))) x)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.2b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	14.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 20 to 6 computations (70% saved)

series9.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite98.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`pow1_binary64`
802×	`add-log-exp_binary64`
801×	`log1p-expm1-u_binary64`
801×	`expm1-log1p-u_binary64`
784×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	149	19
2	2081	19

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

585×	`associate-+l+_binary64`
481×	`fma-def_binary64`
448×	`associate-/l*_binary64`
391×	`times-frac_binary64`
277×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	1190
1	247	1180
2	748	1052
3	3076	1000

Stop Event

1×	node limit

Counts

104 → 91

Calls

Call 1

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

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

eval113.0ms (1.3%)

Compiler: Compiled 3202 to 1453 computations (54.6% saved)

prune39.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	221	6	227
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	223	6	229

Error

Counts

229 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.9b	(/.f64 (*.f64 (sin.f64 x) y) x)
	34.9b	(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sin.f64 x) 3))) x)
▶	14.9b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
▶	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
▶	1.4b	(*.f64 (sin.f64 x) (/.f64 y x))
▶	0.2b	(.f64 (sinh.f64 y) (.f64 (sin.f64 x) (/.f64 1 x)))

Compiler

Compiled 122 to 86 computations (29.5% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite67.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
781×	`add-log-exp_binary64`
780×	`log1p-expm1-u_binary64`
780×	`expm1-log1p-u_binary64`
763×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	2040	17

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

448×	`distribute-rgt-in_binary64`
369×	`associate-/l*_binary64`
368×	`distribute-lft-out_binary64`
344×	`*-commutative_binary64`
336×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	71	680
1	187	678
2	519	620
3	1908	589
4	5971	581

Stop Event

1×	node limit

Counts

90 → 87

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
636×	`add-log-exp_binary64`
636×	`log1p-expm1-u_binary64`
636×	`expm1-log1p-u_binary64`
621×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	9
2	1682	9

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-/l/_binary64`
434×	`*-commutative_binary64`
399×	`distribute-rgt-out_binary64`
395×	`times-frac_binary64`
384×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	250
1	59	244
2	152	244
3	494	238
4	2067	237
5	4189	237
6	4814	237
7	7354	237
8	7884	237

Stop Event

1×	node limit

Counts

46 → 31

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 x) y)
✓	14.6b	(/.f64 (*.f64 (sin.f64 x) y) x)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite65.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`pow1_binary64`
667×	`add-log-exp_binary64`
667×	`log1p-expm1-u_binary64`
667×	`expm1-log1p-u_binary64`
652×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	125	15
2	1741	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1712×	`fma-def_binary64`
701×	`associate-/l/_binary64`
406×	`*-commutative_binary64`
397×	`times-frac_binary64`
281×	`associate-/l*_binary64`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	42	446
1	115	440
2	313	437
3	1080	420
4	2605	419
5	3609	419
6	4169	419
7	6550	419
8	6764	419
9	7053	413

Stop Event

1×	node limit

Counts

102 → 71

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`pow1_binary64`
835×	`add-log-exp_binary64`
833×	`log1p-expm1-u_binary64`
833×	`expm1-log1p-u_binary64`
816×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	185	17
2	2318	17

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (1%)

Algorithm

1×	egg-herbie

Rules

448×	`distribute-rgt-in_binary64`
369×	`associate-/l*_binary64`
368×	`distribute-lft-out_binary64`
346×	`*-commutative_binary64`
336×	`times-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	728
1	188	726
2	519	668
3	1907	637
4	6002	629

Stop Event

1×	node limit

Counts

80 → 69

Calls

Call 1

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

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

localize18.0ms (0.2%)

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))
✓	0.4b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
✓	14.6b	(/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y)))

Compiler

Compiled 30 to 9 computations (70% saved)

series11.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite479.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

504×	`log-prod_binary64`
394×	`exp-prod_binary64`
351×	`prod-exp_binary64`
289×	`pow-prod-down_binary64`
247×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	190	22
2	2568	22

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

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

Outputs

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

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

588×	`associate-/l*_binary64`
433×	`distribute-rgt-in_binary64`
415×	`distribute-lft-in_binary64`
395×	`fma-def_binary64`
368×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1268
1	299	1262
2	892	1193
3	3552	1160

Stop Event

1×	node limit

Counts

190 → 178

Calls

Call 1

Inputs
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(/.f64 x (*.f64 y (sin.f64 x)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 y x) (sin.f64 x))) (/.f64 x (*.f64 y (sin.f64 x))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 y x) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 x (sin.f64 x))) (.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 y 3))) (/.f64 x (*.f64 y (sin.f64 x)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/6 (+.f64 (.f64 1/120 (/.f64 x (sin.f64 x))) (.f64 -1/36 (/.f64 x (sin.f64 x))))) (+.f64 (.f64 1/5040 (/.f64 x (sin.f64 x))) (.f64 -1/720 (/.f64 x (sin.f64 x))))) (pow.f64 y 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 y x) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 x (sin.f64 x))) (.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 y 3))) (/.f64 x (.f64 y (sin.f64 x))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))

Outputs
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(fma.f64 1/3 (/.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(fma.f64 1/3 (/.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(fma.f64 1/3 (/.f64 x (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) x)) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(/.f64 (.f64 2 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(/.f64 (.f64 2 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(/.f64 (.f64 2 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(/.f64 (.f64 2 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(/.f64 (.f64 2 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(/.f64 (.f64 2 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(/.f64 (.f64 2 x) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
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(+.f64 (.f64 (sin.f64 x) (+.f64 (/.f64 y x) (/.f64 1/5040 (/.f64 x (pow.f64 y 7))))) (.f64 (sin.f64 x) (+.f64 (/.f64 1/120 (/.f64 x (pow.f64 y 5))) (*.f64 1/6 (/.f64 (pow.f64 y 3) x)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)) x))
(.f64 1/2 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) x) (fma.f64 (exp.f64 y) 1/2 (/.f64 -1/2 (exp.f64 y))))

eval137.0ms (1.5%)

Compiler: Compiled 7704 to 3427 computations (55.5% saved)

prune85.0ms (1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	543	9	552
Fresh	1	0	1
Picked	1	0	1
Done	0	4	4
Total	545	13	558

Error

Counts

558 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(*.f64 (sinh.f64 y) 1)
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
▶	1.5b	(.f64 y (.f64 (sin.f64 x) (/.f64 1 x)))
	29.9b	y
▶	1.3b	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	15.9b	(/.f64 (*.f64 (sin.f64 x) y) x)
	16.2b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))
	44.7b	(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) x)
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (sin.f64 x) (/.f64 1 x)))
▶	15.3b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) x))
▶	44.4b	(/.f64 (*.f64 y x) x)
▶	1.7b	(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
✓	1.4b	(*.f64 (sin.f64 x) (/.f64 y x))

Compiler

Compiled 191 to 134 computations (29.8% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`pow1_binary64`
637×	`add-log-exp_binary64`
637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
622×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	125	9
2	1685	9

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-/l/_binary64`
434×	`*-commutative_binary64`
399×	`distribute-rgt-out_binary64`
395×	`times-frac_binary64`
384×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	250
1	59	244
2	152	244
3	494	238
4	2067	237
5	4189	237
6	4814	237
7	7354	237
8	7884	237

Stop Event

1×	node limit

Counts

47 → 32

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`pow1_binary64`
489×	`add-sqr-sqrt_binary64`
478×	`add-log-exp_binary64`
478×	`log1p-expm1-u_binary64`
478×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	1
2	1549	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	24

Stop Event

1×

saturated

Counts

61 → 38

Calls

Call 1

Inputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y

Outputs
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	161	9
2	1972	9

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

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

Outputs

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

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-/l/_binary64`
440×	`*-commutative_binary64`
399×	`distribute-rgt-out_binary64`
395×	`times-frac_binary64`
372×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	250
1	59	244
2	152	244
3	494	238
4	2031	237
5	4151	237
6	4778	237
7	7322	237
8	7852	237

Stop Event

1×	node limit

Counts

40 → 24

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 x y) (sin.f64 x))
✓	0.4b	(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
1.0ms	x	@	-inf	(/.f64 (/.f64 x y) (sin.f64 x))
1.0ms	x	@	0	(/.f64 (/.f64 x y) (sin.f64 x))
1.0ms	x	@	inf	(/.f64 (/.f64 x y) (sin.f64 x))
0.0ms	y	@	0	(/.f64 (/.f64 x y) (sin.f64 x))

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary64`
886×	`add-log-exp_binary64`
886×	`log1p-expm1-u_binary64`
886×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	172	18
2	2430	18

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

867×	`distribute-rgt-out_binary64`
570×	`associate-/l*_binary64`
463×	`associate-l_binary64`
446×	`associate-/r*_binary64`
433×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	512
1	97	504
2	238	500
3	703	494
4	2936	493
5	6702	493

Stop Event

1×	node limit

Counts

131 → 101

Calls

Call 1

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

Outputs
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
(fma.f64 -1/6 (.f64 y (.f64 x x)) y)
(.f64 y (fma.f64 -1/6 (.f64 x x) 1))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(fma.f64 1/120 (.f64 y (pow.f64 x 4)) (+.f64 y (.f64 -1/6 (.f64 y (.f64 x x)))))
(fma.f64 1/120 (.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (.f64 y (*.f64 x x)) y))
(fma.f64 y (.f64 -1/6 (.f64 x x)) (fma.f64 (pow.f64 x 4) (*.f64 y 1/120) y))
(fma.f64 y (fma.f64 -1/6 (.f64 x x) (.f64 1/120 (pow.f64 x 4))) y)
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(fma.f64 -1/5040 (.f64 y (pow.f64 x 6)) (fma.f64 1/120 (.f64 y (pow.f64 x 4)) (+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))))
(fma.f64 -1/5040 (.f64 y (pow.f64 x 6)) (fma.f64 1/120 (.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (.f64 y (.f64 x x)) y)))
(fma.f64 y (.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (.f64 -1/6 (.f64 x x)) (fma.f64 (pow.f64 x 4) (.f64 y 1/120) y)))
(fma.f64 y (.f64 -1/5040 (pow.f64 x 6)) (fma.f64 y (fma.f64 -1/6 (.f64 x x) (*.f64 1/120 (pow.f64 x 4))) y))
(.f64 y (+.f64 (fma.f64 -1/6 (.f64 x x) 1) (fma.f64 1/120 (pow.f64 x 4) (*.f64 -1/5040 (pow.f64 x 6)))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 1 y)
(+.f64 (/.f64 1 y) (*.f64 1/6 (/.f64 (pow.f64 x 2) y)))
(+.f64 (/.f64 1 y) (.f64 1/6 (/.f64 (.f64 x x) y)))
(fma.f64 1/6 (/.f64 x (/.f64 y x)) (/.f64 1 y))
(fma.f64 1/6 (*.f64 (/.f64 x y) x) (/.f64 1 y))
(fma.f64 1/6 (*.f64 x (/.f64 x y)) (/.f64 1 y))
(+.f64 (/.f64 1 y) (+.f64 (.f64 7/360 (/.f64 (pow.f64 x 4) y)) (.f64 1/6 (/.f64 (pow.f64 x 2) y))))
(+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (.f64 1/6 (/.f64 (.f64 x x) y))))
(+.f64 (/.f64 1 y) (fma.f64 1/6 (/.f64 x (/.f64 y x)) (*.f64 7/360 (/.f64 (pow.f64 x 4) y))))
(fma.f64 1/6 (*.f64 (/.f64 x y) x) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(fma.f64 (/.f64 7/360 y) (pow.f64 x 4) (fma.f64 1/6 (*.f64 x (/.f64 x y)) (/.f64 1 y)))
(fma.f64 1/6 (*.f64 x (/.f64 x y)) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 1 y)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 x 6) y)) (+.f64 (/.f64 1 y) (+.f64 (.f64 7/360 (/.f64 (pow.f64 x 4) y)) (*.f64 1/6 (/.f64 (pow.f64 x 2) y)))))
(fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (+.f64 (/.f64 1 y) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (.f64 1/6 (/.f64 (.f64 x x) y)))))
(+.f64 (fma.f64 1/6 (/.f64 x (/.f64 y x)) (*.f64 7/360 (/.f64 (pow.f64 x 4) y))) (fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (/.f64 1 y)))
(fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (fma.f64 1/6 (*.f64 (/.f64 x y) x) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (/.f64 1 y))))
(fma.f64 1/6 (*.f64 x (/.f64 x y)) (fma.f64 7/360 (/.f64 (pow.f64 x 4) y) (fma.f64 31/15120 (/.f64 (pow.f64 x 6) y) (/.f64 1 y))))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(/.f64 (/.f64 x (sin.f64 x)) y)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 x))
✓	0.2b	(/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y))
✓	0.4b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) x))
✓	15.0b	(*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) x)

Compiler

Compiled 40 to 20 computations (50% saved)

series9.0ms (0.1%)

Counts

4 → 76

Calls

21 calls:

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

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
419×	`exp-prod_binary64`
331×	`pow-prod-down_binary64`
277×	`pow2_binary64`
195×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	216	39
2	2948	39

Stop Event

1×	node limit

Counts

4 → 178

Calls

Call 1

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

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

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

543×	`fma-def_binary64`
443×	`distribute-rgt-in_binary64`
425×	`distribute-lft-in_binary64`
366×	`cancel-sign-sub-inv_binary64`
357×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	148	1879
1	424	1871
2	1209	1800
3	4455	1767

Stop Event

1×	node limit

Counts

254 → 239

Calls

Call 1

Inputs
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(/.f64 x (*.f64 y (sin.f64 x)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 y x) (sin.f64 x))) (/.f64 x (*.f64 y (sin.f64 x))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 y x) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 x (sin.f64 x))) (.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 y 3))) (/.f64 x (*.f64 y (sin.f64 x)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/6 (+.f64 (.f64 1/120 (/.f64 x (sin.f64 x))) (.f64 -1/36 (/.f64 x (sin.f64 x))))) (+.f64 (.f64 1/5040 (/.f64 x (sin.f64 x))) (.f64 -1/720 (/.f64 x (sin.f64 x))))) (pow.f64 y 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 y x) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 x (sin.f64 x))) (.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 y 3))) (/.f64 x (.f64 y (sin.f64 x))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))
(+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (*.f64 1/3 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (+.f64 (.f64 1/3 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 7/180 (/.f64 (pow.f64 x 3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) x))) (+.f64 (.f64 1/3 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 31/7560 (/.f64 (pow.f64 x 5) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 7/180 (/.f64 (pow.f64 x 3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 1 (*.f64 y (sin.f64 x)))
(+.f64 (.f64 -1/6 (/.f64 y (sin.f64 x))) (/.f64 1 (.f64 y (sin.f64 x))))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 -1/6 (/.f64 y (sin.f64 x))) (/.f64 1 (*.f64 y (sin.f64 x)))))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 -1/6 (/.f64 y (sin.f64 x))) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 5) (sin.f64 x))) (/.f64 1 (.f64 y (sin.f64 x))))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.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))))

Outputs
(/.f64 2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(fma.f64 1/3 (*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (*.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(fma.f64 1/3 (*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 x 2) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (+.f64 (.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 2 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))
(fma.f64 1/3 (/.f64 (*.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(fma.f64 1/3 (*.f64 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (fma.f64 7/180 (/.f64 (pow.f64 x 4) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 31/7560 (/.f64 (pow.f64 x 6) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(/.f64 x (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 x y) (sin.f64 x))
(+.f64 (.f64 -1/6 (/.f64 (.f64 y x) (sin.f64 x))) (/.f64 x (*.f64 y (sin.f64 x))))
(fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (/.f64 x (*.f64 y (sin.f64 x))))
(fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (/.f64 (/.f64 x y) (sin.f64 x)))
(fma.f64 -1/6 (.f64 x (/.f64 y (sin.f64 x))) (/.f64 x (.f64 y (sin.f64 x))))
(fma.f64 -1/6 (*.f64 x (/.f64 y (sin.f64 x))) (/.f64 (/.f64 x y) (sin.f64 x)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 y x) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 x (sin.f64 x))) (.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 y 3))) (/.f64 x (*.f64 y (sin.f64 x)))))
(fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (fma.f64 -1 (.f64 (.f64 (/.f64 x (sin.f64 x)) -7/360) (pow.f64 y 3)) (/.f64 x (*.f64 y (sin.f64 x)))))
(fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (-.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (.f64 (/.f64 x (sin.f64 x)) (.f64 -7/360 (pow.f64 y 3)))))
(fma.f64 -1/6 (.f64 x (/.f64 y (sin.f64 x))) (fma.f64 (pow.f64 y 3) (.f64 (/.f64 x (sin.f64 x)) 7/360) (/.f64 x (*.f64 y (sin.f64 x)))))
(fma.f64 (pow.f64 y 3) (.f64 (/.f64 x (sin.f64 x)) 7/360) (fma.f64 -1/6 (.f64 x (/.f64 y (sin.f64 x))) (/.f64 (/.f64 x y) (sin.f64 x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/6 (+.f64 (.f64 1/120 (/.f64 x (sin.f64 x))) (.f64 -1/36 (/.f64 x (sin.f64 x))))) (+.f64 (.f64 1/5040 (/.f64 x (sin.f64 x))) (.f64 -1/720 (/.f64 x (sin.f64 x))))) (pow.f64 y 5))) (+.f64 (.f64 -1/6 (/.f64 (.f64 y x) (sin.f64 x))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/120 (/.f64 x (sin.f64 x))) (.f64 -1/36 (/.f64 x (sin.f64 x)))) (pow.f64 y 3))) (/.f64 x (.f64 y (sin.f64 x))))))
(fma.f64 -1 (.f64 (fma.f64 -1/6 (.f64 (/.f64 x (sin.f64 x)) -7/360) (.f64 (/.f64 x (sin.f64 x)) -1/840)) (pow.f64 y 5)) (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (fma.f64 -1 (.f64 (.f64 (/.f64 x (sin.f64 x)) -7/360) (pow.f64 y 3)) (/.f64 x (.f64 y (sin.f64 x))))))
(-.f64 (fma.f64 -1/6 (/.f64 y (/.f64 (sin.f64 x) x)) (-.f64 (/.f64 (/.f64 x y) (sin.f64 x)) (.f64 (/.f64 x (sin.f64 x)) (.f64 -7/360 (pow.f64 y 3))))) (.f64 (fma.f64 (/.f64 x (sin.f64 x)) -1/840 (.f64 (/.f64 x (sin.f64 x)) 7/2160)) (pow.f64 y 5)))
(-.f64 (fma.f64 -1/6 (.f64 x (/.f64 y (sin.f64 x))) (fma.f64 (pow.f64 y 3) (.f64 (/.f64 x (sin.f64 x)) 7/360) (/.f64 x (.f64 y (sin.f64 x))))) (.f64 (*.f64 (/.f64 x (sin.f64 x)) 31/15120) (pow.f64 y 5)))
(fma.f64 (pow.f64 y 5) (.f64 (/.f64 x (sin.f64 x)) -31/15120) (fma.f64 (pow.f64 y 3) (.f64 (/.f64 x (sin.f64 x)) 7/360) (fma.f64 -1/6 (*.f64 x (/.f64 y (sin.f64 x))) (/.f64 (/.f64 x y) (sin.f64 x)))))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
(/.f64 (*.f64 2 (/.f64 x (sin.f64 x))) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (*.f64 (/.f64 2 (sin.f64 x)) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(*.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 x (sin.f64 x)))
(.f64 2 (/.f64 x (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(.f64 2 (/.f64 x (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x))))
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(+.f64 (fma.f64 1/3 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x)) (fma.f64 7/180 (/.f64 (pow.f64 x 3) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 31/7560 (/.f64 (pow.f64 x 5) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(+.f64 (/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) x) (fma.f64 1/3 (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (fma.f64 7/180 (/.f64 (pow.f64 x 3) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 31/7560 (/.f64 (pow.f64 x 5) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 1 (*.f64 y (sin.f64 x)))
(/.f64 (/.f64 1 y) (sin.f64 x))
(+.f64 (.f64 -1/6 (/.f64 y (sin.f64 x))) (/.f64 1 (.f64 y (sin.f64 x))))
(fma.f64 -1/6 (/.f64 y (sin.f64 x)) (/.f64 1 (*.f64 y (sin.f64 x))))
(fma.f64 -1/6 (/.f64 y (sin.f64 x)) (/.f64 (/.f64 1 y) (sin.f64 x)))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 -1/6 (/.f64 y (sin.f64 x))) (/.f64 1 (*.f64 y (sin.f64 x)))))
(fma.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x)) (fma.f64 -1/6 (/.f64 y (sin.f64 x)) (/.f64 1 (*.f64 y (sin.f64 x)))))
(fma.f64 -1/6 (/.f64 y (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x)) (/.f64 1 (*.f64 y (sin.f64 x)))))
(fma.f64 -1/6 (/.f64 y (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x)) (/.f64 (/.f64 1 y) (sin.f64 x))))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 -1/6 (/.f64 y (sin.f64 x))) (+.f64 (.f64 -31/15120 (/.f64 (pow.f64 y 5) (sin.f64 x))) (/.f64 1 (.f64 y (sin.f64 x))))))
(fma.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x)) (fma.f64 -1/6 (/.f64 y (sin.f64 x)) (fma.f64 -31/15120 (/.f64 (pow.f64 y 5) (sin.f64 x)) (/.f64 1 (*.f64 y (sin.f64 x))))))
(fma.f64 -1/6 (/.f64 y (sin.f64 x)) (fma.f64 7/360 (/.f64 (pow.f64 y 3) (sin.f64 x)) (fma.f64 -31/15120 (/.f64 (pow.f64 y 5) (sin.f64 x)) (/.f64 (/.f64 1 y) (sin.f64 x)))))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (sin.f64 x)))
(/.f64 2 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(/.f64 (/.f64 2 (sin.f64 x)) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 (/.f64 2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (sin.f64 x))
(/.f64 2 (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (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)))
(+.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 31/15120 (pow.f64 x 5) (/.f64 1 x))))

eval117.0ms (1.3%)

Compiler: Compiled 6837 to 3139 computations (54.1% saved)

prune76.0ms (0.8%)

Pruning

17 alts after pruning (8 fresh and 9 done)

	Pruned	Kept	Total
New	498	5	503
Fresh	1	3	4
Picked	0	1	1
Done	0	8	8
Total	499	17	516

Error

Counts

516 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	44.7b	(-.f64 (+.f64 1 y) 1)
✓	44.4b	(/.f64 (*.f64 y x) x)
▶	29.2b	(*.f64 (sinh.f64 y) 1)
▶	41.3b	(sqrt.f64 (*.f64 y y))
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	1.5b	(.f64 y (.f64 (sin.f64 x) (/.f64 1 x)))
	29.9b	y
✓	1.3b	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	15.9b	(/.f64 (*.f64 (sin.f64 x) y) x)
	16.2b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (sin.f64 x) (/.f64 1 x)))
▶	16.3b	(.f64 x (.f64 y (/.f64 1 x)))
	44.7b	(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) x)
✓	15.3b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) x))
✓	1.7b	(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
✓	1.4b	(*.f64 (sin.f64 x) (/.f64 y x))
▶	1.3b	(/.f64 y (/.f64 x (sin.f64 x)))

Compiler

Compiled 203 to 143 computations (29.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`pow1_binary64`
732×	`add-log-exp_binary64`
732×	`log1p-expm1-u_binary64`
732×	`expm1-log1p-u_binary64`
715×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	131	15
2	1925	15

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

695×	`associate-/l/_binary64`
559×	`fma-def_binary64`
558×	`distribute-rgt-out_binary64`
495×	`associate-l_binary64`
494×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	36	298
1	88	290
2	223	290
3	722	284
4	2875	283
5	5087	283
6	6797	283

Stop Event

1×	node limit

Counts

100 → 87

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(+.f64 (.f64 7/360 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/6 (*.f64 x x) (fma.f64 7/360 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 7/360 1/6) 1)
(+.f64 (.f64 7/360 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 31/15120 (pow.f64 x 6)))))
(fma.f64 7/360 (pow.f64 x 4) (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 31/15120 (pow.f64 x 6))))
(fma.f64 7/360 (pow.f64 x 4) (fma.f64 1/6 (*.f64 x x) (fma.f64 31/15120 (pow.f64 x 6) 1)))
(fma.f64 1/6 (*.f64 x x) (fma.f64 7/360 (pow.f64 x 4) (fma.f64 31/15120 (pow.f64 x 6) 1)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 7/360 1/6) (fma.f64 31/15120 (pow.f64 x 6) 1))
(fma.f64 31/15120 (pow.f64 x 6) (fma.f64 1/6 (*.f64 x x) (fma.f64 7/360 (pow.f64 x 4) 1)))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
y
(+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))
(+.f64 y (.f64 -1/6 (.f64 (*.f64 x x) y)))
(fma.f64 -1/6 (.f64 x (.f64 x y)) y)
(fma.f64 (.f64 x x) (.f64 y -1/6) y)
(.f64 y (fma.f64 x (.f64 x -1/6) 1))
(+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(fma.f64 1/120 (.f64 (pow.f64 x 4) y) (+.f64 y (.f64 -1/6 (.f64 (.f64 x x) y))))
(fma.f64 1/120 (.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (.f64 x (*.f64 x y)) y))
(fma.f64 (.f64 x x) (.f64 y -1/6) (fma.f64 (pow.f64 x 4) (*.f64 y 1/120) y))
(fma.f64 y (fma.f64 x (.f64 x -1/6) (.f64 (pow.f64 x 4) 1/120)) y)
(+.f64 (.f64 -1/5040 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/120 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(fma.f64 -1/5040 (.f64 (pow.f64 x 6) y) (fma.f64 1/120 (.f64 (pow.f64 x 4) y) (+.f64 y (.f64 -1/6 (.f64 (*.f64 x x) y)))))
(fma.f64 -1/5040 (.f64 (pow.f64 x 6) y) (fma.f64 1/120 (.f64 (pow.f64 x 4) y) (fma.f64 -1/6 (.f64 x (.f64 x y)) y)))
(fma.f64 (pow.f64 x 4) (.f64 y 1/120) (fma.f64 (pow.f64 x 6) (.f64 y -1/5040) (fma.f64 (.f64 x x) (.f64 y -1/6) y)))
(fma.f64 (pow.f64 x 4) (.f64 y 1/120) (fma.f64 y (fma.f64 x (.f64 x -1/6) (*.f64 (pow.f64 x 6) -1/5040)) y))
(.f64 y (+.f64 (fma.f64 x (.f64 x -1/6) 1) (fma.f64 (pow.f64 x 4) 1/120 (*.f64 (pow.f64 x 6) -1/5040))))
(.f64 y (+.f64 (fma.f64 (pow.f64 x 4) 1/120 1) (fma.f64 x (.f64 x -1/6) (*.f64 (pow.f64 x 6) -1/5040))))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(*.f64 y (/.f64 (sin.f64 x) x))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(-.f64 (+.f64 1 y) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`pow1_binary64`
521×	`add-log-exp_binary64`
521×	`log1p-expm1-u_binary64`
521×	`expm1-log1p-u_binary64`
513×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	115	1
2	1663	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

Inputs
(-.f64 (+.f64 1 y) 1)

Outputs

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

49 → 38

Calls

Call 1

Inputs
y
y
y
y
y
y
y
y
y
y
y
y

Outputs
y
y
y
y
y
y
y
y
y
y
y
y

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y (/.f64 1 x))
✓	14.5b	(.f64 x (.f64 y (/.f64 1 x)))

Compiler

Compiled 20 to 12 computations (40% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite159.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`pow1_binary64`
614×	`add-log-exp_binary64`
614×	`log1p-expm1-u_binary64`
614×	`expm1-log1p-u_binary64`
600×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	142	11
2	1746	11

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

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

Outputs

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

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

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	120

Stop Event

1×

saturated

Counts

88 → 41

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	28.6b	(sqrt.f64 (*.f64 y y))

Compiler

Compiled 10 to 4 computations (60% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

393×	`log1p-udef_binary64`
281×	`associate-r_binary64`
269×	`associate-l_binary64`
262×	`pow1_binary64`
254×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	1
1	80	1
2	728	1
3	7510	1

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 y y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 y)) 2)) (log.f64 (cbrt.f64 (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 y))) (log.f64 (sqrt.f64 (exp.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 y 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 y) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (*.f64 (cbrt.f64 (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (cbrt.f64 (cbrt.f64 (pow.f64 y 5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (pow.f64 (cbrt.f64 (pow.f64 y 5)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 y (cbrt.f64 y))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 y 8))) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/6) (*.f64 (pow.f64 y 1/6) (pow.f64 (cbrt.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/4) (sqrt.f64 (pow.f64 y 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/4) (pow.f64 (pow.f64 y 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y 1/4) (*.f64 (pow.f64 y 1/4) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 y) (pow.f64 y 1/4)) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 y 5/2)) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 y 3/2)) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 y 5))) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y 3/2) 1/2) (pow.f64 y 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 y 5)) 1/2) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 y 8)) 1/3) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 y 5/2) 1/3) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 y) (cbrt.f64 y)) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 (*.f64 y (cbrt.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (cbrt.f64 y)) 2)) (cbrt.f64 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 y 1/6)) (pow.f64 y 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 y 1) 3) 1) (+.f64 (*.f64 (+.f64 y 1) (+.f64 y 1)) (+.f64 1 (+.f64 y 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 y 1) (+.f64 y 1)) 1) (+.f64 (+.f64 y 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 y 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y y) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 y 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 y) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 y) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (*.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 y) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 y)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (-.f64 1 (+.f64 y 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 y 3))))) (#(struct:change #<rule egg-rr> (2) ((x . y)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 y) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 y)) 3))))))

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`sub-neg_binary64`
2×	`+-commutative_binary64`
2×	`fma-def_binary64`
1×	`*-commutative_binary64`
1×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	20
1	6	20
2	8	20
3	9	20
4	11	20
5	15	20
6	19	20
7	24	20

Stop Event

1×

saturated

Counts

70 → 61

Calls

Call 1

Inputs
y
y
y
y
y
y
y
y
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)
(*.f64 -1 y)

Outputs
y
y
y
y
y
y
y
y
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)
(*.f64 -1 y)
(neg.f64 y)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)

Compiler

Compiled 10 to 6 computations (40% saved)

eval87.0ms (1%)

Compiler: Compiled 2308 to 1237 computations (46.4% saved)

prune141.0ms (1.6%)

Pruning

21 alts after pruning (8 fresh and 13 done)

	Pruned	Kept	Total
New	249	6	255
Fresh	1	2	3
Picked	0	1	1
Done	1	12	13
Total	251	21	272

Error

Counts

272 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	44.7b	(-.f64 (+.f64 1 y) 1)
✓	44.4b	(/.f64 (*.f64 y x) x)
✓	29.2b	(*.f64 (sinh.f64 y) 1)
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	1.5b	(.f64 y (.f64 (sin.f64 x) (/.f64 1 x)))
	29.9b	y
✓	1.3b	(/.f64 y (/.f64 x (sin.f64 x)))
✓	15.9b	(/.f64 (*.f64 (sin.f64 x) y) x)
	16.2b	(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))
✓	0.2b	(.f64 (sinh.f64 y) (.f64 (sin.f64 x) (/.f64 1 x)))
✓	16.3b	(.f64 x (.f64 y (/.f64 1 x)))
	44.7b	(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) x)
✓	15.3b	(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) x))
	30.0b	(*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))
✓	1.7b	(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
✓	1.4b	(*.f64 (sin.f64 x) (/.f64 y x))
	29.9b	(/.f64 (*.f64 (+.f64 y 2) y) (-.f64 (+.f64 1 y) -1))
	1.5b	(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
✓	1.3b	(*.f64 (/.f64 (sin.f64 x) x) y)
	61.1b	(neg.f64 y)
	44.0b	(*.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) 1)

Compiler

Compiled 187 to 134 computations (28.3% saved)

regimes61.0ms (0.7%)

Counts

28 → 1

Calls

Call 1

Inputs
y
y
y
(neg.f64 y)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(.f64 x (.f64 y (/.f64 1 x)))
(*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))
(/.f64 (*.f64 (+.f64 y 2) y) (-.f64 (+.f64 1 y) -1))
(sqrt.f64 (*.f64 y y))
(*.f64 (sinh.f64 y) 1)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (*.f64 (sin.f64 x) y) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
(*.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) 1)
(.f64 y (.f64 (sin.f64 x) (/.f64 1 x)))
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) x)
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) (sinh.f64 y))))
(.f64 (sinh.f64 y) (.f64 (sin.f64 x) (/.f64 1 x)))
(/.f64 1 (*.f64 (/.f64 (/.f64 1 (sin.f64 x)) (sinh.f64 y)) x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (sin.f64 x) 3))) x)

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

Calls

4 calls:

15.0ms	x
15.0ms	(sinh.f64 y)
14.0ms	y
9.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

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

Compiler

Compiled 207 to 104 computations (49.8% saved)

regimes55.0ms (0.6%)

Counts

21 → 1

Calls

Call 1

Inputs
y
y
y
(neg.f64 y)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(.f64 x (.f64 y (/.f64 1 x)))
(*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))
(/.f64 (*.f64 (+.f64 y 2) y) (-.f64 (+.f64 1 y) -1))
(sqrt.f64 (*.f64 y y))
(*.f64 (sinh.f64 y) 1)
(/.f64 y (/.f64 x (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (*.f64 (sin.f64 x) y) x)
(*.f64 (sin.f64 x) (/.f64 y x))
(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
(*.f64 (-.f64 (+.f64 1 (sinh.f64 y)) 1) 1)
(.f64 y (.f64 (sin.f64 x) (/.f64 1 x)))
(/.f64 1 (/.f64 x (*.f64 (sin.f64 x) y)))
(/.f64 1 (/.f64 (/.f64 x y) (sin.f64 x)))
(/.f64 (-.f64 (+.f64 1 (*.f64 (sin.f64 x) y)) 1) x)

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

Calls

4 calls:

16.0ms	(sinh.f64 y)
12.0ms	(sinh.f64 y)
11.0ms	y
11.0ms	x

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`y`
1.3b	1	`(sinh.f64 y)`
1.3b	1	`(sinh.f64 y)`

Compiler

Compiled 140 to 76 computations (45.7% saved)

regimes36.0ms (0.4%)

Counts

11 → 3

Calls

Call 1

Inputs
y
y
y
(neg.f64 y)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(.f64 x (.f64 y (/.f64 1 x)))
(*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))
(/.f64 (*.f64 (+.f64 y 2) y) (-.f64 (+.f64 1 y) -1))
(sqrt.f64 (*.f64 y y))
(*.f64 (sinh.f64 y) 1)

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

Calls

3 calls:

18.0ms	x
8.0ms	(sinh.f64 y)
7.0ms	y

Results

Error	Segments	Branch
14.2b	3	`x`
16.3b	1	`y`
16.3b	1	`(sinh.f64 y)`

Compiler

Compiled 62 to 39 computations (37.1% saved)

bsearch83.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	6.805425793411015e+61	4.107740553387799e+66
54.0ms	-3.738586295927389e+58	-6.66179511014064e+52

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes51.0ms (0.6%)

Counts

10 → 3

Calls

Call 1

Inputs
y
y
y
(neg.f64 y)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(.f64 x (.f64 y (/.f64 1 x)))
(*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))
(/.f64 (*.f64 (+.f64 y 2) y) (-.f64 (+.f64 1 y) -1))
(sqrt.f64 (*.f64 y y))

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

Calls

2 calls:

35.0ms	x
13.0ms	y

Results

Error	Segments	Branch
14.9b	3	`x`
16.3b	1	`y`

Compiler

Compiled 54 to 33 computations (38.9% saved)

bsearch145.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
78.0ms	6.805425793411015e+61	4.107740553387799e+66
67.0ms	-3.738586295927389e+58	-6.66179511014064e+52

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes35.0ms (0.4%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 y) 1)
y
(-.f64 (+.f64 1 y) 1)

Calls

2 calls:

20.0ms	x
12.0ms	y

Results

Error	Segments	Branch
14.9b	3	`x`
16.3b	1	`y`

Compiler

Compiled 30 to 17 computations (43.3% saved)

bsearch61.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
29.0ms	6.805425793411015e+61	4.107740553387799e+66
31.0ms	-3.738586295927389e+58	-6.66179511014064e+52

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes10.0ms (0.1%)

Accuracy

Total -31.4b remaining (-104.9%)

Threshold costs -31.4b (-104.9%)

Counts

4 → 1

Calls

Call 1

Inputs
y
y
y
(neg.f64 y)

Outputs
y

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
29.9b	1	`x`
29.9b	1	`y`

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	128
1	40	128
2	42	128

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 y (/.f64 x (sin.f64 x)))
(if (<=.f64 x -37385862959273889562768191439631860058221723955296252985344) (.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1)) (if (<=.f64 x 68054257934110150622383295850810797247051632459054730102964224) (.f64 (sinh.f64 y) 1) (*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))))
(if (<=.f64 x -37385862959273889562768191439631860058221723955296252985344) (.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1)) (if (<=.f64 x 68054257934110150622383295850810797247051632459054730102964224) y (.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))))
(if (<=.f64 x -37385862959273889562768191439631860058221723955296252985344) (-.f64 (+.f64 1 y) 1) (if (<=.f64 x 68054257934110150622383295850810797247051632459054730102964224) y (-.f64 (+.f64 1 y) 1)))
y

Outputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(/.f64 y (/.f64 x (sin.f64 x)))
(if (<=.f64 x -37385862959273889562768191439631860058221723955296252985344) (.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1)) (if (<=.f64 x 68054257934110150622383295850810797247051632459054730102964224) (.f64 (sinh.f64 y) 1) (*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))))
(if (<=.f64 x -37385862959273889562768191439631860058221723955296252985344) (.f64 x (+.f64 (+.f64 1 (/.f64 y x)) -1)) (if (<=.f64 x 68054257934110150622383295850810797247051632459054730102964224) (sinh.f64 y) (.f64 x (+.f64 (+.f64 1 (/.f64 y x)) -1))))
(if (<=.f64 x -37385862959273889562768191439631860058221723955296252985344) (.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1)) (if (<=.f64 x 68054257934110150622383295850810797247051632459054730102964224) y (.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))))
(if (<=.f64 x -37385862959273889562768191439631860058221723955296252985344) (.f64 x (+.f64 (+.f64 1 (/.f64 y x)) -1)) (if (<=.f64 x 68054257934110150622383295850810797247051632459054730102964224) y (.f64 x (+.f64 (+.f64 1 (/.f64 y x)) -1))))
(if (<=.f64 x -37385862959273889562768191439631860058221723955296252985344) (-.f64 (+.f64 1 y) 1) (if (<=.f64 x 68054257934110150622383295850810797247051632459054730102964224) y (-.f64 (+.f64 1 y) 1)))
(if (<=.f64 x -37385862959273889562768191439631860058221723955296252985344) (+.f64 (+.f64 y 1) -1) (if (<=.f64 x 68054257934110150622383295850810797247051632459054730102964224) y (+.f64 (+.f64 y 1) -1)))
y

Compiler

Compiled 100 to 68 computations (32% saved)

soundness0.0ms (0%)

end54.0ms (0.6%)

Compiler: Compiled 90 to 55 computations (38.9% saved)