Details

analyze539.0ms (6.1%)

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
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample6.6s (74.7%)

Results

3.4s	612×	body	1024	valid
1.1s	2041×	body	1024	invalid
1.0s	6431×	body	128	valid
467.0ms	1005×	body	512	invalid
245.0ms	728×	body	512	valid
129.0ms	525×	body	256	invalid
121.0ms	802×	body	128	invalid
106.0ms	485×	body	256	valid

Compiler

Compiled 20 to 14 computations (30% saved)

preprocess43.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

948×	`fma-def_binary64`
229×	`div-sub_binary64`
216×	`cancel-sign-sub-inv_binary64`
186×	`associate-/l*_binary64`
184×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	28	22
2	67	22
3	148	22
4	346	22
5	925	22
6	2908	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 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (*.f64 (sin.f64 y) (sinh.f64 x)) y)
(/.f64 (sin.f64 y) (/.f64 y (sinh.f64 x)))
(*.f64 (/.f64 (sinh.f64 x) y) (sin.f64 y))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

544×	`times-frac_binary64`
474×	`fma-def_binary64`
457×	`associate-/l*_binary64`
344×	`associate-l_binary64`
241×	`associate-/r*_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	472	11
6	1476	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 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(*.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))

prune3.0ms (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

Status	Error	Program
▶	0.1b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
	12.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 52 to 32 computations (38.5% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series24.0ms (0.3%)

Counts

4 → 64

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(/.f64 (sinh.f64 y) x)
3.0ms	y	@	-inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
2.0ms	y	@	inf	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
2.0ms	y	@	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
2.0ms	x	@	0	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

835×	`pow1_binary64`
772×	`log1p-expm1-u_binary64`
772×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	149	23
2	2027	23

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

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

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

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-neg_binary64`
408×	`fma-def_binary64`
188×	`associate-r_binary64`
185×	`associate-l_binary64`
185×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	1323
1	366	1278
2	1108	1194
3	4271	1188

Stop Event

1×	node limit

Counts

162 → 145

Calls

Call 1

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

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

prune124.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	140	5	145
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	141	6	147

Error

0.0b

Counts

147 → 6

Alt Table

Status	Error	Program
	23.4b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))) 2)
	1.7b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))) 3)
▶	0.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	12.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	1.1b	(*.f64 (sin.f64 x) (fma.f64 1/6 (/.f64 (pow.f64 y 3) x) (/.f64 y x)))
	1.0b	(fma.f64 1/6 (.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (.f64 (/.f64 (sin.f64 x) x) y))

Compiler

Compiled 2164 to 1022 computations (52.8% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
	0.0b	(sinh.f64 y)
✓	0.0b	(/.f64 x (sinh.f64 y))
✓	0.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
82×	`*-un-lft-identity_binary64`
82×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2270	17

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

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

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simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

754×	`fma-neg_binary64`
475×	`times-frac_binary64`
286×	`fma-def_binary64`
189×	`associate-r_binary64`
185×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1108
1	296	1086
2	943	1005
3	3732	998

Stop Event

1×	node limit

Counts

125 → 109

Calls

Call 1

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

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

prune154.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	163	2	165
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	164	7	171

Error

Counts

171 → 7

Alt Table

Status	Error	Program
	1.0b	(fma.f64 1/6 (.f64 (/.f64 (sin.f64 x) x) (pow.f64 y 3)) (.f64 (/.f64 (sin.f64 x) x) y))
	0.7b	(/.f64 (sin.f64 x) (pow.f64 (/.f64 (sinh.f64 y) x) -1))
	23.4b	(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))) 2)
	1.7b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))) 3)
✓	0.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	12.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
▶	0.1b	(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))

Compiler

Compiled 2437 to 1083 computations (55.6% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`pow1_binary64`
779×	`log1p-expm1-u_binary64`
779×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_binary64`
78×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	149	17
2	2037	17

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

651×	`fma-neg_binary64`
473×	`times-frac_binary64`
377×	`sub-neg_binary64`
278×	`fma-def_binary64`
161×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	719
1	277	690
2	872	676
3	3444	670

Stop Event

1×	node limit

Counts

93 → 93

Calls

Call 1

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

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

prune121.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	150	6	156

Error

Counts

156 → 6

Alt Table

Status	Error	Program
	1.7b	(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))) 3)
✓	0.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	1.0b	(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) x))
	12.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
	0.7b	(/.f64 (sin.f64 x) (pow.f64 (/.f64 (sinh.f64 y) x) -1))
▶	0.1b	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))

Compiler

Compiled 2127 to 1009 computations (52.6% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
82×	`*-un-lft-identity_binary64`
82×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	155	17
2	2271	17

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

552×	`fma-neg_binary64`
473×	`times-frac_binary64`
337×	`sub-neg_binary64`
287×	`fma-def_binary64`
149×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	719
1	273	686
2	846	674
3	3304	668

Stop Event

1×	node limit

Counts

104 → 104

Calls

Call 1

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

prune265.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	160	6	166

Error

Counts

166 → 6

Alt Table

Status	Error	Program
	13.1b	(pow.f64 (/.f64 x (*.f64 (sinh.f64 y) (sin.f64 x))) -1)
	12.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
✓	0.6b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	1.0b	(*.f64 (fma.f64 1/6 (pow.f64 y 3) y) (/.f64 (sin.f64 x) x))
	0.7b	(/.f64 (sin.f64 x) (pow.f64 (/.f64 (sinh.f64 y) x) -1))
✓	0.1b	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))

Compiler

Compiled 2258 to 1000 computations (55.7% saved)

regimes290.0ms (3.3%)

Accuracy

Total 0.1b remaining (71.1%)

Threshold costs 0.1b (71.1%)

Counts

124 → 1

Compiler

Compiled 1249 to 467 computations (62.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11

Stop Event

1×

saturated

Calls

Call 1

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

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

end224.0ms (2.5%)

Stop Event

1×

fuel

Compiler

Compiled 80 to 55 computations (31.3% saved)

Details

analyze539.0ms (6.1%)

sample6.6s (74.7%)

preprocess43.0ms (0.5%)

simplify21.0ms (0.2%)

prune3.0ms (0%)

localize6.0ms (0.1%)

series24.0ms (0.3%)

rewrite50.0ms (0.6%)

simplify53.0ms (0.6%)

prune124.0ms (1.4%)

localize5.0ms (0.1%)

series6.0ms (0.1%)

rewrite54.0ms (0.6%)

simplify49.0ms (0.6%)

prune154.0ms (1.7%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite46.0ms (0.5%)

simplify47.0ms (0.5%)

prune121.0ms (1.4%)

localize6.0ms (0.1%)

series4.0ms (0%)

rewrite49.0ms (0.6%)

simplify49.0ms (0.5%)

prune265.0ms (3%)

regimes290.0ms (3.3%)

simplify2.0ms (0%)

end224.0ms (2.5%)

Profiling