Details

analyze157.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
48.3%	43.7%	46.8%	0.1%	9.4%	0%	0%	7
52.6%	46.8%	42.1%	0.1%	10.9%	0%	0%	8
56.1%	46.8%	36.7%	0.1%	16.4%	0%	0%	9
58.8%	48.4%	34%	0.1%	17.6%	0%	0%	10
60.9%	48.4%	31%	0.1%	20.5%	0%	0%	11
62.5%	49.2%	29.6%	0.1%	21.2%	0%	0%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample2.9s (33.3%)

Results

1.1s	6921×	body	256	valid
912.0ms	1982×	body	1024	infinite
294.0ms	1052×	body	512	infinite
236.0ms	1567×	body	256	infinite
228.0ms	616×	body	1024	valid
205.0ms	719×	body	512	valid

Bogosity

preprocess58.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

1416×	`associate-/r*`
1204×	`associate-*l/`
1180×	`fma-def`
916×	`*-commutative`
780×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	30	42
2	69	42
3	146	42
4	333	42
5	823	42
6	2723	42
7	6943	42
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 (sin.f64 y) y) (sinh.f64 x))
(*.f64 (sinh.f64 x) (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 (sinh.f64 x) y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify56.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-r`
1204×	`fma-neg`
980×	`associate-/l*`
772×	`associate-l`
768×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	39	21
3	79	21
4	175	21
5	423	21
6	1383	21
7	5708	21

Stop Event

1×	node limit

Counts

1 → 7

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

eval1.0ms (0%)

Compiler: Compiled 51 to 16 computations (68.6% saved)

prune3.0ms (0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	3	4	7
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	5	8

Error

0.01%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.61%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
▶	1.13%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
▶	0.23%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	0.13%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(sinh.f64 y)
✓	0.12%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	0.19%	(/.f64 (sin.f64 x) x)

Compiler

Compiled 19 to 6 computations (68.4% saved)

series8.0ms (0.1%)

Counts

3 → 40

Calls

12 calls:

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

rewrite165.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`associate-*r/`
936×	`*-commutative`
838×	`associate-*l/`
834×	`associate-/r*`
700×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	187	37
2	2476	37

Stop Event

1×	node limit

Counts

3 → 223

Calls

Call 1

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

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

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

simplify88.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1042×	`associate-r`
1034×	`times-frac`
1022×	`associate-l`
854×	`associate-/l/`
764×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	7603
1	1531	7353

Stop Event

1×	node limit

Counts

263 → 343

Calls

Call 1

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

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

localize35.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 (sinh.f64 y) x)
	0.01%	(sinh.f64 y)
✓	0.22%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`associate-*r/`
936×	`*-commutative`
864×	`associate-/r*`
836×	`associate-*l/`
692×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	187	32
2	2466	32

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

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

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

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

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-/l*`
692×	`distribute-rgt-in`
690×	`distribute-lft-in`
602×	`associate-/l/`
586×	`distribute-frac-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	462	6382
1	1179	6268
2	4851	6192

Stop Event

1×	node limit

Counts

212 → 274

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sinh.f64 y)
✓	0.02%	(/.f64 x (sinh.f64 y))
✓	1.12%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`associate-*r/`
1528×	`associate-/l*`
1094×	`associate-*l/`
1026×	`*-commutative`
538×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	193	32
2	2707	32

Stop Event

1×	node limit

Counts

2 → 143

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

simplify100.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1074×	`distribute-lft-in`
1066×	`distribute-rgt-in`
620×	`distribute-lft-neg-in`
558×	`distribute-rgt-neg-in`
506×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	386	6047
1	1082	4695
2	4300	4607

Stop Event

1×	node limit

Counts

191 → 209

Calls

Call 1

Inputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (+.f64 (.f64 -1/10080 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 6))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4))))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(/.f64 (*.f64 y (sin.f64 x)) x)
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 y 5) (sin.f64 x)) x)) (+.f64 (.f64 1/5040 (/.f64 (.f64 (pow.f64 y 7) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(*.f64 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)))))
(*.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 y)
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (/.f64 x y)))
(+.f64 (.f64 -1/6 (.f64 y x)) (+.f64 (.f64 -1 (.f64 (pow.f64 y 3) (+.f64 (.f64 -1/36 x) (.f64 1/120 x)))) (+.f64 (.f64 -1 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/720 x) (+.f64 (.f64 -1/6 (+.f64 (.f64 -1/36 x) (.f64 1/120 x))) (*.f64 1/5040 x))))) (/.f64 x 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)))))
(*.f64 2 (/.f64 x (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))
(.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(.f64 1 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(.f64 (sqrt.f64 (sinh.f64 y)) (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) 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))
(.f64 (cbrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(.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))))
(.f64 (cbrt.f64 (sinh.f64 y)) (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(*.f64 (/.f64 (sinh.f64 y) x) (/.f64 (sin.f64 x) 1))
(.f64 (neg.f64 (sin.f64 x)) (.f64 -1 (/.f64 (sinh.f64 y) x)))
(*.f64 (neg.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) x)) (sqrt.f64 (sinh.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (/.f64 (sin.f64 x) x)) (cbrt.f64 (sinh.f64 y)))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (sin.f64 x) 1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sinh.f64 y)) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(.f64 (/.f64 1 (neg.f64 x)) (.f64 (sin.f64 x) (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(.f64 (.f64 -1 (/.f64 (sinh.f64 y) x)) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sinh.f64 y))) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) 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)))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x) (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) 1) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(.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))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 x (sinh.f64 y))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) -1) (neg.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (sin.f64 x) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(.f64 (/.f64 1 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sinh.f64 y)))) (cbrt.f64 (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) -1) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) -1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (neg.f64 x))) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 (sinh.f64 y) x))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x 1)) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) -1) (neg.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) 1) (sqrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) 1) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 x)) (cbrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (neg.f64 (sinh.f64 y))))
(pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3) 1/3)
(pow.f64 (/.f64 (/.f64 x (sinh.f64 y)) (sin.f64 x)) -1)
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (neg.f64 x) (sinh.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (sinh.f64 y)))) 1)
(*.f64 x (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 x (sinh.f64 y)) 1)
(*.f64 1 (/.f64 x (sinh.f64 y)))
(*.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (sqrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2))
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 1 (sinh.f64 y)) x)
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y))))
(.f64 2 (/.f64 x (.f64 (sinh.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x 1) (/.f64 1 (sinh.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 2)) (+.f64 x x))
(.f64 (/.f64 x (.f64 (sinh.f64 y) 2)) 2)
(*.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x))
(.f64 (/.f64 x (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 (sinh.f64 y) 2))) 2)
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y)))
(.f64 (/.f64 (/.f64 x 1) (.f64 (sinh.f64 y) 2)) 2)
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(pow.f64 (/.f64 x (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)
(pow.f64 (/.f64 (sinh.f64 y) x) -1)
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y))))

Outputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (.f64 -1/12 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x)))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (*.f64 x x) -1/12)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/240) (pow.f64 x 4) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (.f64 x x) -1/12))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 (.f64 x x) -1/12) (.f64 (pow.f64 x 4) 1/240))))
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(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (sinh.f64 y)) x)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 2 (/.f64 x (.f64 (sinh.f64 y) 2)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (sqrt.f64 x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 (sqrt.f64 x) 1))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (cbrt.f64 x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 (sinh.f64 y))) (/.f64 x (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 x 1) (/.f64 1 (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(.f64 (/.f64 1 (.f64 (sinh.f64 y) 2)) (+.f64 x x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 x (.f64 (sinh.f64 y) 2)) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 -1 (/.f64 (neg.f64 x) (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (neg.f64 (sinh.f64 y))) (neg.f64 x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 x (cbrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (sinh.f64 y))))
(*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (/.f64 1 (sqrt.f64 (sinh.f64 y))))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(*.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) 1) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sinh.f64 y)) (cbrt.f64 x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 x (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 1 (/.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (.f64 (sinh.f64 y) 2))) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (sinh.f64 y)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 (/.f64 x 1) (.f64 (sinh.f64 y) 2)) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (.f64 (sinh.f64 y) 2))) -2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(.f64 (/.f64 x (.f64 (sqrt.f64 (*.f64 2 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (.f64 2 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 2 (sinh.f64 y)))) (sqrt.f64 2))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(.f64 (/.f64 x (.f64 (cbrt.f64 (*.f64 2 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (cbrt.f64 2))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 2 (sinh.f64 y)))) (cbrt.f64 2))
(.f64 (/.f64 x (.f64 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2) (cbrt.f64 (*.f64 2 (sinh.f64 y))))) (cbrt.f64 2))
(pow.f64 (/.f64 x (sinh.f64 y)) 1)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) 2)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 3)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3) 1/3)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(pow.f64 (/.f64 (sinh.f64 y) x) -1)
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(neg.f64 (/.f64 x (neg.f64 (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(sqrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 2))
(fabs.f64 (/.f64 x (sinh.f64 y)))
(log.f64 (exp.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(cbrt.f64 (pow.f64 (/.f64 x (sinh.f64 y)) 3))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (sinh.f64 y) 3)))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(expm1.f64 (log1p.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(exp.f64 (log.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))
(log1p.f64 (expm1.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (+.f64 x x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(/.f64 x (sinh.f64 y))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(sinh.f64 y)
✓	0.2%	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	23.62%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Compiler

Compiled 20 to 6 computations (70% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite117.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`associate-/r*`
1174×	`associate-/l*`
1048×	`associate-*r/`
956×	`*-commutative`
740×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	187	36
2	2519	36

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify147.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1380×	`associate-/r*`
1220×	`associate-/r/`
908×	`distribute-rgt-in`
908×	`distribute-lft-in`
430×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	4960
1	799	4820
2	3102	4652

Stop Event

1×	node limit

Counts

150 → 189

Calls

Call 1

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

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

eval446.0ms (5%)

Compiler: Compiled 19701 to 7014 computations (64.4% saved)

prune444.0ms (5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	1215	7	1222
Fresh	0	0	0
Picked	0	1	1
Done	3	0	3
Total	1218	8	1226

Error

Counts

1226 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.61%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
▶	25.58%	(/.f64 (*.f64 (sin.f64 x) y) x)
▶	3.08%	(/.f64 (sin.f64 x) (/.f64 x y))
	2.33%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
▶	2.1%	(*.f64 (/.f64 (sin.f64 x) x) y)
▶	2.19%	(*.f64 (/.f64 y x) (sin.f64 x))
	23.73%	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
▶	47.45%	(*.f64 1 (sinh.f64 y))

Compiler

Compiled 135 to 90 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.12%	(*.f64 (/.f64 (sin.f64 x) x) y)
	0.19%	(/.f64 (sin.f64 x) x)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`add-sqr-sqrt`
1728×	`*-un-lft-identity`
1602×	`add-cube-cbrt`
1576×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	163	17
2	2120	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-r`
1224×	`associate-l`
748×	`associate-+r+`
680×	`associate-+l+`
456×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	867
1	190	855
2	692	855
3	5005	855

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.01%	(sinh.f64 y)

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.22%	(*.f64 (/.f64 y x) (sin.f64 x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(*.f64 (/.f64 y x) (sin.f64 x))
0.0ms	x	@	0	(*.f64 (/.f64 y x) (sin.f64 x))
0.0ms	y	@	0	(*.f64 (/.f64 y x) (sin.f64 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 y x) (sin.f64 x))
0.0ms	y	@	-inf	(*.f64 (/.f64 y x) (sin.f64 x))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1740×	`add-sqr-sqrt`
1728×	`*-un-lft-identity`
1602×	`add-cube-cbrt`
1576×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	163	17
2	2120	17

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1254×	`associate-r`
1098×	`associate-l`
644×	`associate-+r+`
568×	`associate-+l+`
454×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	867
1	189	855
2	670	855
3	4727	855

Stop Event

1×	node limit

Counts

47 → 41

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.1%	(/.f64 (sin.f64 x) (/.f64 x y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1936×	`add-sqr-sqrt`
1924×	`*-un-lft-identity`
1792×	`add-cube-cbrt`
1766×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	169	17
2	2361	17

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-*r/`
936×	`associate-*l/`
760×	`associate-/l*`
740×	`associate-+l-`
668×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	1352
1	344	1316
2	1319	1316
3	6286	1316

Stop Event

1×	node limit

Counts

66 → 62

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.18%	(*.f64 (sin.f64 x) y)
✓	23.61%	(/.f64 (*.f64 (sin.f64 x) y) x)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`add-sqr-sqrt`
1788×	`*-un-lft-identity`
1662×	`add-cube-cbrt`
1636×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	163	28
2	2178	28

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1482×	`associate-/l*`
762×	`unswap-sqr`
744×	`times-frac`
692×	`*-commutative`
608×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1851
1	433	1815
2	1821	1809
3	7898	1809

Stop Event

1×	node limit

Counts

103 → 89

Calls

Call 1

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

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

eval83.0ms (0.9%)

Compiler: Compiled 4629 to 2019 computations (56.4% saved)

prune59.0ms (0.7%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	363	8	371
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	364	15	379

Error

Counts

379 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.61%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
✓	25.58%	(/.f64 (*.f64 (sin.f64 x) y) x)
▶	72.35%	(/.f64 (*.f64 y x) x)
✓	3.08%	(/.f64 (sin.f64 x) (/.f64 x y))
▶	2.33%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
	50.59%	(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
▶	50.59%	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	2.1%	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	2.19%	(*.f64 (/.f64 y x) (sin.f64 x))
▶	25.71%	(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
▶	25.69%	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
	50.59%	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
	48.5%	(.f64 1 (+.f64 y (.f64 1/6 (pow.f64 y 3))))
✓	47.45%	(*.f64 1 (sinh.f64 y))
	48.84%	y

Compiler

Compiled 224 to 153 computations (31.7% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.41%	(.f64 -1/6 (.f64 y x))
✓	1.11%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))

Compiler

Compiled 39 to 15 computations (61.5% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`associate-*l/`
1524×	`associate-/r*`
1178×	`associate-/l*`
420×	`associate-/r/`
276×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	263	44
2	3653	44

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1514×	`associate-*r/`
942×	`associate-/r*`
882×	`associate-*l/`
878×	`*-commutative`
516×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	4973
1	707	4669
2	2477	4433

Stop Event

1×	node limit

Counts

91 → 148

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.68%	(/.f64 (*.f64 y x) x)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`add-sqr-sqrt`
1220×	`*-un-lft-identity`
1140×	`add-cube-cbrt`
1120×	`add-cbrt-cube`
1110×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	126	1
2	1771	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify36.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1564×	`associate-*r/`
1316×	`times-frac`
1232×	`associate-/r*`
1084×	`associate-/l/`
928×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	335
1	238	335
2	1283	335

Stop Event

1×	node limit

Counts

61 → 40

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.29%	(.f64 -1/6 (.f64 y (*.f64 x x)))
✓	11.84%	(.f64 y (.f64 x x))

Compiler

Compiled 29 to 10 computations (65.5% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1512×	`add-sqr-sqrt`
1490×	`*-un-lft-identity`
1388×	`add-cube-cbrt`
1370×	`add-cbrt-cube`
1356×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	163	32
2	1955	32

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1302×	`fma-def`
1136×	`distribute-rgt-out`
970×	`log-prod`
532×	`unswap-sqr`
458×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1152
1	173	1152
2	725	1152
3	2269	1152
4	4919	1152

Stop Event

1×	node limit

Counts

72 → 31

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.18%	(*.f64 (sin.f64 x) y)
✓	23.71%	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`add-sqr-sqrt`
1888×	`*-un-lft-identity`
1750×	`add-cube-cbrt`
1720×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	197	17
2	2391	17

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1330×	`associate-r`
1268×	`associate-l`
664×	`associate-+l+`
660×	`associate-+r+`
488×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	901
1	202	889
2	747	889
3	5184	889

Stop Event

1×	node limit

Counts

49 → 44

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.31%	(/.f64 (sin.f64 x) (/.f64 1 y))
✓	23.71%	(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite79.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`associate-/l*`
1146×	`*-commutative`
972×	`unswap-sqr`
684×	`swap-sqr`
538×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	231	28
2	3142	28

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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

simplify134.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1720×	`unswap-sqr`
768×	`distribute-rgt-in`
762×	`distribute-lft-in`
586×	`associate-/r/`
562×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	5640
1	1196	5402
2	3982	5396

Stop Event

1×	node limit

Counts

216 → 279

Calls

Call 1

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

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

eval178.0ms (2%)

Compiler: Compiled 9312 to 4315 computations (53.7% saved)

prune227.0ms (2.6%)

Pruning

23 alts after pruning (12 fresh and 11 done)

	Pruned	Kept	Total
New	559	10	569
Fresh	2	2	4
Picked	0	1	1
Done	0	10	10
Total	561	23	584

Error

Counts

584 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.61%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
✓	25.58%	(/.f64 (*.f64 (sin.f64 x) y) x)
✓	72.35%	(/.f64 (*.f64 y x) x)
✓	3.08%	(/.f64 (sin.f64 x) (/.f64 x y))
✓	2.33%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
▶	2.48%	(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x))
	48.72%	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
	3.29%	(/.f64 1 (*.f64 (/.f64 x y) (/.f64 1 (sin.f64 x))))
	68.87%	(-.f64 (+.f64 1 y) 1)
▶	50.48%	(+.f64 y (-.f64 (+.f64 1 (.f64 y (.f64 (*.f64 x x) -1/6))) 1))
▶	50.59%	(+.f64 y (.f64 y (.f64 x (*.f64 x -1/6))))
	50.59%	(+.f64 y (.f64 y (.f64 -1/6 (*.f64 x x))))
✓	50.59%	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	2.1%	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	2.19%	(*.f64 (/.f64 y x) (sin.f64 x))
▶	27.38%	(*.f64 (/.f64 y x) x)
✓	25.71%	(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
✓	25.69%	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
▶	27.5%	(.f64 x (.f64 y (/.f64 1 x)))
	48.5%	(.f64 1 (+.f64 y (.f64 1/6 (pow.f64 y 3))))
✓	47.45%	(*.f64 1 (sinh.f64 y))
	66.24%	(sqrt.f64 (*.f64 y y))
	48.84%	y

Compiler

Compiled 332 to 233 computations (29.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.02%	(+.f64 (/.f64 1 y) (*.f64 y -1/6))
✓	0.35%	(.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x)
✓	0.52%	(*.f64 y -1/6)
✓	1.11%	(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x))

Compiler

Compiled 42 to 27 computations (35.7% saved)

series8.0ms (0.1%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x))
1.0ms	x	@	inf	(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x))
0.0ms	x	@	0	(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x))
0.0ms	x	@	inf	(.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x)
0.0ms	y	@	-inf	(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x))

rewrite98.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1400×	`associate-/l*`
720×	`distribute-rgt-in`
686×	`distribute-lft-in`
460×	`associate-/r/`
440×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	86
1	274	74
2	3661	74

Stop Event

1×	node limit

Counts

4 → 183

Calls

Call 1

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

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

simplify129.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

878×	`associate-/r*`
834×	`associate-r`
784×	`+-commutative`
702×	`times-frac`
632×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	510	9171
1	1429	8231
2	7877	8231

Stop Event

1×	node limit

Counts

255 → 284

Calls

Call 1

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

Outputs
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))
(/.f64 1 (fma.f64 y -1/6 (/.f64 1 y)))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))
(+.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 (.f64 -1/6 (.f64 x x)) (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 -1/6 (/.f64 (*.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y))))))
(+.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 1/120 (/.f64 (pow.f64 x 4) (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 (.f64 -1/6 (.f64 x x)) (fma.f64 y -1/6 (/.f64 1 y)))))
(+.f64 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))) (fma.f64 -1/6 (/.f64 (.f64 x x) (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 (.f64 1/120 (pow.f64 x 4)) (fma.f64 y -1/6 (/.f64 1 y)))))
(+.f64 (/.f64 1 (+.f64 (/.f64 1 y) (.f64 -1/6 y))) (+.f64 (.f64 -1/5040 (/.f64 (pow.f64 x 6) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (+.f64 (.f64 1/120 (/.f64 (pow.f64 x 4) (+.f64 (/.f64 1 y) (.f64 -1/6 y)))) (.f64 -1/6 (/.f64 (pow.f64 x 2) (+.f64 (/.f64 1 y) (*.f64 -1/6 y)))))))
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(.f64 (/.f64 (+.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3))) (+.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (-.f64 (.f64 1/36 (.f64 y y)) (/.f64 y (/.f64 y -1/6))) 3))) (+.f64 (.f64 (pow.f64 y -2) (pow.f64 y -2)) (.f64 (-.f64 (.f64 1/36 (.f64 y y)) (/.f64 y (/.f64 y -1/6))) (-.f64 (-.f64 (.f64 1/36 (.f64 y y)) (/.f64 y (/.f64 y -1/6))) (pow.f64 y -2)))))
(.f64 (/.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (+.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (-.f64 (.f64 (.f64 1/36 y) y) (.f64 (/.f64 y y) -1/6)) 3))) (+.f64 (pow.f64 y -4) (.f64 (-.f64 (.f64 (.f64 1/36 y) y) (.f64 (/.f64 y y) -1/6)) (-.f64 (.f64 (.f64 1/36 y) y) (+.f64 (.f64 (/.f64 y y) -1/6) (pow.f64 y -2))))))
(/.f64 (.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (fma.f64 (fma.f64 1/36 (.f64 y y) 1/6) (-.f64 (fma.f64 1/36 (.f64 y y) 1/6) (pow.f64 y -2)) (pow.f64 y -4))) (+.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (fma.f64 1/36 (.f64 y y) 1/6) 3)))
(/.f64 1 (/.f64 1 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 y -1/6 (/.f64 1 y))
(/.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1)
(fma.f64 y -1/6 (/.f64 1 y))
(/.f64 (fma.f64 y -1/6 (/.f64 1 y)) (/.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (+.f64 (/.f64 1 y) (.f64 1/6 y))))
(fma.f64 y -1/6 (/.f64 1 y))
(/.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 1 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))))
(fma.f64 y -1/6 (/.f64 1 y))
(/.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)))
(fma.f64 y -1/6 (/.f64 1 y))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2) (/.f64 1 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y)))))
(fma.f64 y -1/6 (/.f64 1 y))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 1/36 (.f64 y y))) (+.f64 (/.f64 1 y) (*.f64 1/6 y)))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) (.f64 y 1/6))) (.f64 (/.f64 1/36 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (.f64 y y)))
(/.f64 (-.f64 (.f64 y (.f64 y 1/36)) (pow.f64 y -2)) (fma.f64 y -1/6 (/.f64 -1 y)))
(/.f64 (-.f64 (pow.f64 y -2) (.f64 1/36 (.f64 y y))) (/.f64 1 (/.f64 1 (+.f64 (/.f64 1 y) (*.f64 1/6 y)))))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) (.f64 y 1/6))) (.f64 (/.f64 1/36 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (.f64 y y)))
(/.f64 (-.f64 (.f64 y (.f64 y 1/36)) (pow.f64 y -2)) (fma.f64 y -1/6 (/.f64 -1 y)))
(/.f64 (+.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3))) (-.f64 (.f64 1/36 (*.f64 y y)) (-.f64 (/.f64 y (/.f64 y -1/6)) (pow.f64 y -2))))
(.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (/.f64 1 (+.f64 (-.f64 (.f64 (.f64 1/36 y) y) (*.f64 (/.f64 y y) -1/6)) (pow.f64 y -2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (fma.f64 1/36 (*.f64 y y) 1/6)))
(/.f64 (+.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3))) (/.f64 1 (/.f64 1 (-.f64 (.f64 1/36 (*.f64 y y)) (-.f64 (/.f64 y (/.f64 y -1/6)) (pow.f64 y -2))))))
(.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (/.f64 1 (+.f64 (-.f64 (.f64 (.f64 1/36 y) y) (*.f64 (/.f64 y y) -1/6)) (pow.f64 y -2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (fma.f64 1/36 (*.f64 y y) 1/6)))
(/.f64 (-.f64 (.f64 1/36 (.f64 y y)) (-.f64 (/.f64 y (/.f64 y -1/6)) (pow.f64 y -2))) (/.f64 (-.f64 (.f64 1/36 (.f64 y y)) (-.f64 (/.f64 y (/.f64 y -1/6)) (pow.f64 y -2))) (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 y -1/6 (/.f64 1 y))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3)))) (/.f64 (-.f64 (.f64 1/36 (.f64 y y)) (-.f64 (/.f64 y (/.f64 y -1/6)) (pow.f64 y -2))) (sqrt.f64 (+.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216))) (+.f64 (-.f64 (.f64 (.f64 1/36 y) y) (.f64 (/.f64 y y) -1/6)) (pow.f64 y -2))) (sqrt.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216))))
(.f64 (sqrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))) (/.f64 (sqrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))) (+.f64 (pow.f64 y -2) (fma.f64 1/36 (.f64 y y) 1/6))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y -2) (.f64 1/36 (.f64 y y)))) (/.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (sqrt.f64 (-.f64 (pow.f64 y -2) (.f64 1/36 (*.f64 y y))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 y -2) (.f64 -1/36 (.f64 y y)))) (+.f64 (/.f64 1 y) (.f64 y 1/6))) (sqrt.f64 (+.f64 (pow.f64 y -2) (.f64 -1/36 (.f64 y y)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 y -2) (.f64 (.f64 y y) -1/36))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 y -2) (.f64 (*.f64 y y) -1/36))) (fma.f64 y 1/6 (/.f64 1 y))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3)))) (cbrt.f64 (+.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3))))) (/.f64 (-.f64 (.f64 1/36 (.f64 y y)) (-.f64 (/.f64 y (/.f64 y -1/6)) (pow.f64 y -2))) (cbrt.f64 (+.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216))) (cbrt.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)))) (/.f64 (+.f64 (-.f64 (.f64 (.f64 1/36 y) y) (.f64 (/.f64 y y) -1/6)) (pow.f64 y -2)) (cbrt.f64 (+.f64 (pow.f64 y -3) (*.f64 (pow.f64 y 3) -1/216)))))
(.f64 (cbrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))) (/.f64 (cbrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))) (/.f64 (+.f64 (pow.f64 y -2) (fma.f64 1/36 (.f64 y y) 1/6)) (cbrt.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 y -2) (.f64 1/36 (.f64 y y)))) (cbrt.f64 (-.f64 (pow.f64 y -2) (.f64 1/36 (.f64 y y))))) (/.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (cbrt.f64 (-.f64 (pow.f64 y -2) (.f64 1/36 (.f64 y y))))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 y -2) (.f64 -1/36 (.f64 y y)))) (/.f64 (/.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) (cbrt.f64 (+.f64 (pow.f64 y -2) (.f64 -1/36 (.f64 y y))))) (cbrt.f64 (+.f64 (pow.f64 y -2) (.f64 -1/36 (*.f64 y y))))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 y -2) (.f64 (.f64 y y) -1/36))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 y -2) (.f64 (.f64 y y) -1/36))) (/.f64 (fma.f64 y 1/6 (/.f64 1 y)) (cbrt.f64 (+.f64 (pow.f64 y -2) (.f64 (*.f64 y y) -1/36))))))
(/.f64 (-.f64 (.f64 1/36 (.f64 y y)) (pow.f64 y -2)) (-.f64 (*.f64 y -1/6) (/.f64 1 y)))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) (.f64 y 1/6))) (.f64 (/.f64 1/36 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (.f64 y y)))
(/.f64 (-.f64 (.f64 y (.f64 y 1/36)) (pow.f64 y -2)) (fma.f64 y -1/6 (/.f64 -1 y)))
(/.f64 (-.f64 (.f64 (pow.f64 y -3) (pow.f64 y -3)) (.f64 (.f64 -1/216 (pow.f64 y 3)) (.f64 -1/216 (pow.f64 y 3)))) (.f64 (-.f64 (.f64 1/36 (.f64 y y)) (-.f64 (/.f64 y (/.f64 y -1/6)) (pow.f64 y -2))) (-.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3)))))
(/.f64 (-.f64 (pow.f64 y -6) (.f64 1/46656 (.f64 (pow.f64 y 3) (pow.f64 y 3)))) (.f64 (+.f64 (-.f64 (.f64 (.f64 1/36 y) y) (.f64 (/.f64 y y) -1/6)) (pow.f64 y -2)) (+.f64 (pow.f64 y -3) (*.f64 1/216 (pow.f64 y 3)))))
(/.f64 (+.f64 (pow.f64 y -6) (.f64 -1/46656 (pow.f64 y 6))) (.f64 (+.f64 (pow.f64 y -2) (fma.f64 1/36 (.f64 y y) 1/6)) (-.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216))))
(/.f64 (-.f64 (.f64 (pow.f64 y -2) (pow.f64 y -2)) (.f64 (.f64 1/36 (.f64 y y)) (.f64 1/36 (.f64 y y)))) (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (+.f64 (pow.f64 y -2) (.f64 1/36 (.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y -4) (.f64 1/1296 (.f64 (.f64 y y) (.f64 y y)))) (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) (+.f64 (pow.f64 y -2) (.f64 (.f64 1/36 y) y))))
(/.f64 (+.f64 (pow.f64 y -4) (.f64 -1/1296 (.f64 y (pow.f64 y 3)))) (.f64 (fma.f64 y 1/6 (/.f64 1 y)) (fma.f64 1/36 (.f64 y y) (pow.f64 y -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 y -3) 3) (pow.f64 (.f64 -1/216 (pow.f64 y 3)) 3)) (.f64 (-.f64 (.f64 1/36 (.f64 y y)) (-.f64 (/.f64 y (/.f64 y -1/6)) (pow.f64 y -2))) (+.f64 (.f64 (pow.f64 y -3) (pow.f64 y -3)) (.f64 (.f64 -1/216 (pow.f64 y 3)) (-.f64 (.f64 -1/216 (pow.f64 y 3)) (pow.f64 y -3))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 y -3) 3) (.f64 -1/10077696 (pow.f64 (pow.f64 y 3) 3))) (.f64 (+.f64 (-.f64 (.f64 (.f64 1/36 y) y) (.f64 (/.f64 y y) -1/6)) (pow.f64 y -2)) (+.f64 (pow.f64 y -6) (.f64 -1/216 (.f64 (pow.f64 y 3) (-.f64 (.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)))))))
(/.f64 (fma.f64 -1/10077696 (pow.f64 (pow.f64 y 3) 3) (pow.f64 (pow.f64 y -3) 3)) (.f64 (+.f64 (pow.f64 y -2) (fma.f64 1/36 (.f64 y y) 1/6)) (fma.f64 (.f64 (pow.f64 y 3) -1/216) (-.f64 (.f64 (pow.f64 y 3) -1/216) (pow.f64 y -3)) (pow.f64 y -6))))
(/.f64 (-.f64 (pow.f64 (pow.f64 y -2) 3) (pow.f64 (.f64 1/36 (.f64 y y)) 3)) (.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)) (+.f64 (.f64 (pow.f64 y -2) (pow.f64 y -2)) (.f64 (.f64 1/36 (.f64 y y)) (+.f64 (pow.f64 y -2) (.f64 1/36 (.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 y -2) 3) (.f64 1/46656 (pow.f64 (.f64 y y) 3))) (.f64 (+.f64 (/.f64 1 y) (.f64 y 1/6)) (+.f64 (pow.f64 y -4) (.f64 1/36 (.f64 (.f64 y y) (+.f64 (pow.f64 y -2) (.f64 (*.f64 1/36 y) y)))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 y -2) 3) (.f64 -1/46656 (pow.f64 y 6))) (.f64 (fma.f64 y 1/6 (/.f64 1 y)) (fma.f64 (.f64 y (.f64 y 1/36)) (fma.f64 1/36 (*.f64 y y) (pow.f64 y -2)) (pow.f64 y -4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (.f64 1/36 (.f64 y y)))) (neg.f64 (+.f64 (/.f64 1 y) (*.f64 1/6 y))))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) (.f64 y 1/6))) (.f64 (/.f64 1/36 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (.f64 y y)))
(/.f64 (-.f64 (.f64 y (.f64 y 1/36)) (pow.f64 y -2)) (fma.f64 y -1/6 (/.f64 -1 y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y -2) (.f64 1/36 (.f64 y y)))) (.f64 1 (neg.f64 (+.f64 (/.f64 1 y) (.f64 1/6 y)))))
(-.f64 (/.f64 (pow.f64 y -2) (+.f64 (/.f64 1 y) (.f64 y 1/6))) (.f64 (/.f64 1/36 (+.f64 (/.f64 1 y) (.f64 y 1/6))) (.f64 y y)))
(/.f64 (-.f64 (.f64 y (.f64 y 1/36)) (pow.f64 y -2)) (fma.f64 y -1/6 (/.f64 -1 y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3)))) (neg.f64 (-.f64 (.f64 1/36 (*.f64 y y)) (-.f64 (/.f64 y (/.f64 y -1/6)) (pow.f64 y -2)))))
(.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (/.f64 1 (+.f64 (-.f64 (.f64 (.f64 1/36 y) y) (*.f64 (/.f64 y y) -1/6)) (pow.f64 y -2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (fma.f64 1/36 (*.f64 y y) 1/6)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y -3) (.f64 -1/216 (pow.f64 y 3)))) (.f64 1 (neg.f64 (-.f64 (.f64 1/36 (.f64 y y)) (-.f64 (/.f64 y (/.f64 y -1/6)) (pow.f64 y -2))))))
(.f64 (+.f64 (pow.f64 y -3) (.f64 (pow.f64 y 3) -1/216)) (/.f64 1 (+.f64 (-.f64 (.f64 (.f64 1/36 y) y) (*.f64 (/.f64 y y) -1/6)) (pow.f64 y -2))))
(/.f64 (fma.f64 (pow.f64 y 3) -1/216 (pow.f64 y -3)) (+.f64 (pow.f64 y -2) (fma.f64 1/36 (*.f64 y y) 1/6)))
(pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 1)
(fma.f64 y -1/6 (/.f64 1 y))
(pow.f64 (sqrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 2)
(fma.f64 y -1/6 (/.f64 1 y))
(pow.f64 (cbrt.f64 (fma.f64 y -1/6 (/.f64 1 y))) 3)
(fma.f64 y -1/6 (/.f64 1 y))
(pow.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3) 1/3)
(fma.f64 y -1/6 (/.f64 1 y))
(sqrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 2))
(fabs.f64 (fma.f64 y -1/6 (/.f64 1 y)))
(log.f64 (exp.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 y -1/6 (/.f64 1 y))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y)))))
(fma.f64 y -1/6 (/.f64 1 y))
(cbrt.f64 (pow.f64 (fma.f64 y -1/6 (/.f64 1 y)) 3))
(fma.f64 y -1/6 (/.f64 1 y))
(expm1.f64 (log1p.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 y -1/6 (/.f64 1 y))
(exp.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 y -1/6 (/.f64 1 y))
(exp.f64 (*.f64 (log.f64 (fma.f64 y -1/6 (/.f64 1 y))) 1))
(fma.f64 y -1/6 (/.f64 1 y))
(log1p.f64 (expm1.f64 (fma.f64 y -1/6 (/.f64 1 y))))
(fma.f64 y -1/6 (/.f64 1 y))
(fma.f64 1 (/.f64 1 y) (*.f64 y -1/6))
(fma.f64 y -1/6 (/.f64 1 y))
(fma.f64 1 (*.f64 y -1/6) (/.f64 1 y))
(fma.f64 y -1/6 (/.f64 1 y))
(fma.f64 y -1/6 (/.f64 1 y))
(fma.f64 -1/6 y (/.f64 1 y))
(fma.f64 y -1/6 (/.f64 1 y))
(fma.f64 (pow.f64 y -1/2) (pow.f64 y -1/2) (*.f64 y -1/6))
(fma.f64 y -1/6 (/.f64 1 y))
(fma.f64 (sqrt.f64 (.f64 y -1/6)) (sqrt.f64 (.f64 y -1/6)) (/.f64 1 y))
(fma.f64 y -1/6 (/.f64 1 y))
(fma.f64 (cbrt.f64 (pow.f64 y -2)) (/.f64 1 (cbrt.f64 y)) (*.f64 y -1/6))
(fma.f64 (cbrt.f64 (.f64 1/36 (.f64 y y))) (cbrt.f64 (*.f64 y -1/6)) (/.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 (.f64 1/36 y) y)) (cbrt.f64 (*.f64 y -1/6)) (/.f64 1 y))
(fma.f64 (cbrt.f64 (.f64 y (.f64 y 1/36))) (cbrt.f64 (*.f64 y -1/6)) (/.f64 1 y))

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.26%	(*.f64 (/.f64 y x) x)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`add-sqr-sqrt`
1382×	`*-un-lft-identity`
1286×	`add-cube-cbrt`
1264×	`add-cbrt-cube`
1252×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	126	13
2	1698	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1154×	`associate-r`
1070×	`times-frac`
960×	`associate-l`
816×	`associate-+l+`
764×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	46
1	140	46
2	576	46
3	6081	46

Stop Event

1×	node limit

Counts

46 → 23

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.29%	(*.f64 y (/.f64 1 x))
✓	23.26%	(.f64 x (.f64 y (/.f64 1 x)))

Compiler

Compiled 20 to 12 computations (40% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1544×	`add-sqr-sqrt`
1528×	`*-un-lft-identity`
1420×	`add-cube-cbrt`
1394×	`add-cbrt-cube`
1378×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	162	20
2	1982	20

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1426×	`distribute-lft-in`
936×	`associate-r`
866×	`associate-+l+`
820×	`associate-+r+`
814×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	361
1	191	361
2	703	361
3	4663	361

Stop Event

1×	node limit

Counts

85 → 38

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.14%	(.f64 x (.f64 x -1/6))
✓	0.5%	(*.f64 x -1/6)
✓	11.79%	(.f64 y (.f64 x (*.f64 x -1/6)))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1548×	`add-sqr-sqrt`
1528×	`*-un-lft-identity`
1422×	`add-cube-cbrt`
1398×	`add-cbrt-cube`
1382×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	39
1	162	39
2	1928	39

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Outputs

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

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

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

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-*r/`
1136×	`associate-*l/`
936×	`unswap-sqr`
486×	`*-commutative`
444×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1164
1	224	1164
2	992	1164
3	3601	1164

Stop Event

1×	node limit

Counts

84 → 41

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3%	(.f64 (.f64 x x) -1/6)
✓	4.32%	(-.f64 (+.f64 1 (.f64 y (.f64 (*.f64 x x) -1/6))) 1)
✓	11.79%	(.f64 y (.f64 (*.f64 x x) -1/6))

Compiler

Compiled 54 to 30 computations (44.4% saved)

series1.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

984×	`*-commutative`
888×	`associate-*r/`
720×	`associate-*l/`
674×	`distribute-lft-in`
642×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	51
1	239	51
2	3169	51

Stop Event

1×	node limit

Counts

3 → 198

Calls

Call 1

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

Outputs

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

simplify147.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1684×	`associate-*r/`
1236×	`associate-+r+`
1226×	`associate-+l+`
564×	`associate-r`
554×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	315	14312
1	870	13988
2	4088	13836

Stop Event

1×	node limit

Counts

258 → 194

Calls

Call 1

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

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

eval230.0ms (2.6%)

Compiler: Compiled 14258 to 9189 computations (35.6% saved)

prune117.0ms (1.3%)

Pruning

26 alts after pruning (11 fresh and 15 done)

	Pruned	Kept	Total
New	576	4	580
Fresh	0	7	7
Picked	0	1	1
Done	1	14	15
Total	577	26	603

Error

Counts

603 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.61%	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
✓	25.58%	(/.f64 (*.f64 (sin.f64 x) y) x)
✓	72.35%	(/.f64 (*.f64 y x) x)
✓	3.08%	(/.f64 (sin.f64 x) (/.f64 x y))
✓	2.33%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
✓	2.48%	(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x))
	72.35%	(/.f64 1 (/.f64 x (*.f64 y x)))
	48.72%	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
	3.29%	(/.f64 1 (*.f64 (/.f64 x y) (/.f64 1 (sin.f64 x))))
	68.87%	(-.f64 (+.f64 1 y) 1)
	50.48%	(+.f64 y (-.f64 (+.f64 1 (/.f64 1 (/.f64 1 (.f64 y (.f64 x (*.f64 x -1/6)))))) 1))
✓	50.48%	(+.f64 y (-.f64 (+.f64 1 (.f64 y (.f64 (*.f64 x x) -1/6))) 1))
✓	50.59%	(+.f64 y (.f64 y (.f64 x (*.f64 x -1/6))))
	50.59%	(+.f64 y (.f64 y (.f64 -1/6 (*.f64 x x))))
✓	2.1%	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	2.19%	(*.f64 (/.f64 y x) (sin.f64 x))
✓	27.38%	(*.f64 (/.f64 y x) x)
✓	25.71%	(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
✓	25.69%	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
	25.45%	(*.f64 x (/.f64 1 (/.f64 x y)))
	47%	(*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))
✓	27.5%	(.f64 x (.f64 y (/.f64 1 x)))
	48.5%	(.f64 1 (+.f64 y (.f64 1/6 (pow.f64 y 3))))
✓	47.45%	(*.f64 1 (sinh.f64 y))
	66.24%	(sqrt.f64 (*.f64 y y))
	48.84%	y

Compiler

Compiled 255 to 179 computations (29.8% saved)

regimes62.0ms (0.7%)

Counts

33 → 1

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(.f64 x (.f64 y (/.f64 1 x)))
(*.f64 x (/.f64 1 (/.f64 x y)))
(/.f64 1 (/.f64 x (*.f64 y x)))
(*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))
(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
(+.f64 y (.f64 y (.f64 -1/6 (*.f64 x x))))
(+.f64 y (.f64 y (.f64 x (*.f64 x -1/6))))
(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 y (-.f64 (+.f64 1 (.f64 y (.f64 (*.f64 x x) -1/6))) 1))
(+.f64 y (-.f64 (+.f64 1 (/.f64 1 (/.f64 1 (.f64 y (.f64 x (*.f64 x -1/6)))))) 1))
(sqrt.f64 (*.f64 y y))
(*.f64 1 (sinh.f64 y))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 x) y) x)
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
(.f64 1 (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
(/.f64 1 (*.f64 (/.f64 x y) (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x))
(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))

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

Calls

4 calls:

16.0ms	x
15.0ms	(sinh.f64 y)
13.0ms	y
11.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

Error	Segments	Branch
0.13%	1	`x`
0.13%	1	`y`
0.13%	1	`(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)`
0.13%	1	`(sinh.f64 y)`

Compiler

Compiled 281 to 144 computations (48.8% saved)

regimes192.0ms (2.2%)

Counts

28 → 1

Calls

Call 1

Inputs
y
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 (*.f64 y x) x)
(.f64 x (.f64 y (/.f64 1 x)))
(*.f64 x (/.f64 1 (/.f64 x y)))
(/.f64 1 (/.f64 x (*.f64 y x)))
(*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))
(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
(+.f64 y (.f64 y (.f64 -1/6 (*.f64 x x))))
(+.f64 y (.f64 y (.f64 x (*.f64 x -1/6))))
(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(+.f64 y (-.f64 (+.f64 1 (.f64 y (.f64 (*.f64 x x) -1/6))) 1))
(+.f64 y (-.f64 (+.f64 1 (/.f64 1 (/.f64 1 (.f64 y (.f64 x (*.f64 x -1/6)))))) 1))
(sqrt.f64 (*.f64 y y))
(*.f64 1 (sinh.f64 y))
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) x) y)
(/.f64 (sin.f64 x) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 x) y) x)
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
(.f64 1 (+.f64 y (.f64 1/6 (pow.f64 y 3))))
(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
(/.f64 1 (*.f64 (/.f64 x y) (/.f64 1 (sin.f64 x))))
(/.f64 (sin.f64 x) (.f64 (+.f64 (/.f64 1 y) (.f64 y -1/6)) x))
(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))

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

Calls

3 calls:

109.0ms	x
62.0ms	(sinh.f64 y)
13.0ms	y

Results

Error	Segments	Branch
2.1%	1	`x`
2.1%	1	`y`
2.1%	1	`(sinh.f64 y)`

Compiler

Compiled 235 to 128 computations (45.5% saved)

regimes33.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	y
10.0ms	(sinh.f64 y)
9.0ms	x

Results

Error	Segments	Branch
2.19%	1	`x`
2.19%	1	`y`
2.19%	1	`(sinh.f64 y)`

Compiler

Compiled 156 to 91 computations (41.7% saved)

regimes91.0ms (1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

52.0ms	x
27.0ms	(sinh.f64 y)
8.0ms	y

Results

Error	Segments	Branch
23.39%	3	`x`
25.45%	1	`y`
25.45%	1	`(sinh.f64 y)`

Compiler

Compiled 150 to 89 computations (40.7% saved)

bsearch36.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	2.2692883949610252e+70	1.7893947411785506e+75
14.0ms	-350990232710.86975	-23198820674.770977

Results

32.0ms

240×

body

256

valid

Compiler

Compiled 299 to 235 computations (21.4% saved)

regimes59.0ms (0.7%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	y
8.0ms	x

Results

Error	Segments	Branch
25.45%	1	`x`
25.45%	1	`y`

Compiler

Compiled 142 to 83 computations (41.5% saved)

regimes12.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
4.0ms	y

Results

Error	Segments	Branch
25.73%	2	`x`
27.38%	1	`y`

Compiler

Compiled 31 to 18 computations (41.9% saved)

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	6.241412283418239e+32	2.0177158082247218e+37

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 142 to 106 computations (25.4% saved)

regimes8.0ms (0.1%)

Accuracy

Total -13.8b remaining (-78.7%)

Threshold costs -13.8b (-78.7%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
27.38%	1	`x`
27.38%	1	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative`
8×	`+-commutative`
4×	`sub-neg`
2×	`*-lft-identity`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	178
1	57	178
2	59	178

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 y x) (sin.f64 x))
(if (<=.f64 x -32000000000) (.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1)) (if (<=.f64 x 22999999999999999369479725476339120364122070696406229548810150300614656) (.f64 1 (sinh.f64 y)) (*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))))
(*.f64 x (/.f64 1 (/.f64 x y)))
(if (<=.f64 x 3600000000000000265239433396092928) (*.f64 (/.f64 y x) x) (-.f64 (+.f64 1 y) 1))
(*.f64 (/.f64 y x) x)
y

Outputs
(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
(*.f64 (/.f64 (sin.f64 x) x) y)
(*.f64 (/.f64 y x) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 y x))
(if (<=.f64 x -32000000000) (.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1)) (if (<=.f64 x 22999999999999999369479725476339120364122070696406229548810150300614656) (.f64 1 (sinh.f64 y)) (*.f64 x (-.f64 (+.f64 1 (/.f64 y x)) 1))))
(if (or (<=.f64 x -32000000000) (not (<=.f64 x 22999999999999999369479725476339120364122070696406229548810150300614656))) (*.f64 x (+.f64 (+.f64 (/.f64 y x) 1) -1)) (sinh.f64 y))
(*.f64 x (/.f64 1 (/.f64 x y)))
(if (<=.f64 x 3600000000000000265239433396092928) (*.f64 (/.f64 y x) x) (-.f64 (+.f64 1 y) 1))
(if (<=.f64 x 3600000000000000265239433396092928) (*.f64 x (/.f64 y x)) (+.f64 (+.f64 y 1) -1))
(*.f64 (/.f64 y x) x)
(*.f64 x (/.f64 y x))
y

Compiler

Compiled 82 to 55 computations (32.9% saved)

soundness135.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1366×	`associate-r`
1204×	`fma-neg`
980×	`associate-/l*`
772×	`associate-l`
768×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	18	21
2	39	21
3	79	21
4	175	21
5	423	21
6	1383	21
7	5708	21

Stop Event

1×	node limit

Compiler

Compiled 16 to 8 computations (50% saved)

end41.0ms (0.5%)

Compiler: Compiled 68 to 33 computations (51.5% saved)