Details

analyze146.0ms (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)

sample2.6s (32.6%)

Results

909.0ms	6866×	body	256	valid
722.0ms	1973×	body	1024	infinite
240.0ms	1621×	body	256	infinite
239.0ms	985×	body	512	infinite
236.0ms	642×	body	1024	valid
212.0ms	748×	body	512	valid
0.0ms	1×	body	2048	infinite

Bogosity

preprocess57.0ms (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)

simplify55.0ms (0.7%)

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

0.0b

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.0b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
▶	1.1b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
▶	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	0.1b	(*.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
✓	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	0.1b	(/.f64 (sin.f64 x) x)

Compiler

Compiled 19 to 6 computations (68.4% saved)

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))

rewrite128.0ms (1.6%)

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

simplify98.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1052×	`associate-r`
1032×	`times-frac`
1024×	`associate-l`
852×	`associate-/l/`
764×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	7603
1	1524	7353

Stop Event

1×	node limit

Counts

263 → 342

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite84.0ms (1.1%)

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	21
1	187	21
2	2466	21

Stop Event

1×	node limit

Counts

1 → 113

Calls

Call 1

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

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

simplify156.0ms (2%)

Algorithm

1×	egg-herbie

Rules

826×	`associate-/l*`
594×	`associate-/l/`
442×	`unswap-sqr`
412×	`div-sub`
398×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	4303
1	934	4297
2	3870	4187

Stop Event

1×	node limit

Counts

137 → 180

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (sinh.f64 y))
	0.0b	(sinh.f64 y)
✓	1.1b	(/.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	x	@	inf	(/.f64 x (sinh.f64 y))
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))

rewrite76.0ms (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

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

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1074×	`distribute-lft-in`
1070×	`distribute-rgt-in`
652×	`distribute-lft-neg-in`
498×	`associate-r`
484×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	387	6047
1	1082	4695
2	4351	4607

Stop Event

1×	node limit

Counts

191 → 215

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	13.0b	(/.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 (sin.f64 x) (sinh.f64 y))
0.0ms	x	@	0	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
0.0ms	y	@	0	(*.f64 (sin.f64 x) (sinh.f64 y))

rewrite122.0ms (1.5%)

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.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))))))))

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1564×	`associate-/r*`
1356×	`associate-/r/`
1012×	`distribute-rgt-in`
1012×	`distribute-lft-in`
442×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	313	4960
1	796	4820
2	3205	4820

Stop Event

1×	node limit

Counts

150 → 184

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

eval316.0ms (4%)

Compiler: Compiled 18141 to 6509 computations (64.1% saved)

prune505.0ms (6.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1118	7	1125
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	1120	9	1129

Error

Counts

1129 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.0b	(/.f64 (*.f64 (sin.f64 x) y) x)
▶	2.0b	(/.f64 (sin.f64 x) (/.f64 x y))
	1.8b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
	1.2b	(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
▶	1.0b	(*.f64 (/.f64 (sin.f64 x) x) y)
▶	1.1b	(*.f64 (/.f64 y x) (sin.f64 x))
▶	31.7b	(*.f64 1 (sinh.f64 y))

Compiler

Compiled 148 to 98 computations (33.8% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (0.8%)

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)))))))

simplify67.0ms (0.9%)

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))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)

Compiler

Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

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	@	inf	(*.f64 (/.f64 y x) (sin.f64 x))
0.0ms	y	@	0	(*.f64 (/.f64 y x) (sin.f64 x))
0.0ms	x	@	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))

rewrite54.0ms (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))))))))

simplify70.0ms (0.9%)

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))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.1b	(/.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))

rewrite78.0ms (1%)

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

simplify96.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1472×	`associate-*r/`
1040×	`associate-*l/`
840×	`associate-+l-`
806×	`associate-+r-`
768×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	1352
1	345	1316
2	1316	1316
3	6454	1316

Stop Event

1×	node limit

Counts

66 → 63

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 x) y)
✓	13.0b	(/.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)

rewrite61.0ms (0.8%)

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

((#(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)))))))

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1326×	`times-frac`
770×	`unswap-sqr`
760×	`associate-/r*`
716×	`*-commutative`
538×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1851
1	429	1815
2	2000	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) y) x))) 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) y) x) 1)
(.f64 1 (/.f64 (.f64 (sin.f64 x) y) x))
(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 x) y) x)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(.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) y) x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) y) x)) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 (.f64 (sin.f64 x) y) x)) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) 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 (/.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) y) x)))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) y) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) y) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) y) x)) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) y) x) 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) y) x) 2))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) y) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) y) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 x) y) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(-.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 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)))
(/.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 1/120 (.f64 y (pow.f64 x 5)) (*.f64 y x)))
(fma.f64 y x (.f64 y (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.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 1/120 (.f64 y (pow.f64 x 5)) (.f64 y x))))
(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) y) x))) 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) y) x) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 1 (/.f64 (.f64 (sin.f64 x) y) x))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(.f64 (sqrt.f64 (/.f64 (.f64 (sin.f64 x) y) x)) (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(*.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) y) x)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) y) x)) 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) y) x)) 2) (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(*.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 (.f64 y (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))
(*.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 (.f64 y (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))
(*.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 (.f64 y (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))
(.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 (.f64 y (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 y (cbrt.f64 x)))
(/.f64 (sin.f64 x) (*.f64 (/.f64 (cbrt.f64 x) y) (pow.f64 (cbrt.f64 x) 2)))
(.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) y) x)))
(.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)))
(pow.f64 (/.f64 (*.f64 (sin.f64 x) y) x) 1)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 x) y) x)) 2)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 x) y) x)) 3)
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(pow.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) 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 (*.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) y) x) 2))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log.f64 (exp.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(*.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) y) x))))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) y) x) 3))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (log.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (sin.f64 x) y) x)) 1))
(*.f64 y (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 y x))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (sin.f64 x) y) x)))
(*.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))

eval70.0ms (0.9%)

Compiler: Compiled 4630 to 2030 computations (56.2% saved)

prune63.0ms (0.8%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	366	5	371
Fresh	0	2	2
Picked	0	1	1
Done	0	6	6
Total	366	14	380

Error

Counts

380 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.0b	(/.f64 (*.f64 (sin.f64 x) y) x)
▶	45.1b	(/.f64 (*.f64 y x) x)
✓	2.0b	(/.f64 (sin.f64 x) (/.f64 x y))
▶	1.8b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
	1.2b	(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
▶	33.1b	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	1.0b	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	1.1b	(*.f64 (/.f64 y x) (sin.f64 x))
▶	33.1b	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
▶	1.1b	(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
✓	31.7b	(*.f64 1 (sinh.f64 y))
	32.1b	y

Compiler

Compiled 191 to 127 computations (33.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1880×	`add-sqr-sqrt`
1864×	`*-un-lft-identity`
1726×	`add-cube-cbrt`
1696×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	197	28
2	2370	28

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1530×	`associate-+r+`
1426×	`associate-+l+`
620×	`unswap-sqr`
478×	`associate-*r/`
446×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1172
1	273	1156
2	990	1148
3	4802	1148

Stop Event

1×	node limit

Counts

74 → 67

Calls

Call 1

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.0b	(/.f64 (*.f64 y x) x)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	inf	(/.f64 (*.f64 y x) x)
0.0ms	y	@	-inf	(/.f64 (*.f64 y x) x)
0.0ms	y	@	0	(/.f64 (*.f64 y x) x)
0.0ms	x	@	-inf	(/.f64 (*.f64 y x) x)
0.0ms	x	@	inf	(/.f64 (*.f64 y x) x)

rewrite185.0ms (2.3%)

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))))))

simplify37.0ms (0.5%)

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

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 30 to 16 computations (46.7% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1960×	`add-sqr-sqrt`
1932×	`*-un-lft-identity`
1808×	`add-cube-cbrt`
1790×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	204	34
2	2498	34

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1118×	`associate-r`
1020×	`associate-l`
692×	`log-prod`
584×	`associate-+r+`
576×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	99	1422
1	239	1382
2	711	1366
3	3760	1366
4	7255	1366

Stop Event

1×	node limit

Counts

70 → 55

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 10 computations (65.5% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite55.0ms (0.7%)

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1558×	`distribute-lft-out`
1266×	`fma-def`
916×	`log-prod`
528×	`unswap-sqr`
444×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1152
1	170	1152
2	686	1152
3	2202	1152
4	4781	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 -1/6 (.f64 y (*.f64 x x)))) 1)
(pow.f64 (.f64 -1/6 (.f64 y (*.f64 x x))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 y -1/6)) x) 2)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 y (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (.f64 -1/6 (.f64 y (*.f64 x x))) 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 -1/6 (.f64 y (*.f64 x x))) 3))
(expm1.f64 (log1p.f64 (.f64 -1/6 (.f64 y (*.f64 x x)))))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 y (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (.f64 -1/6 (.f64 y (.f64 x x)))) 1))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 y (*.f64 x x)))))

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

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
✓	0.3b	(.f64 -1/6 (.f64 y x))
✓	1.1b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))

Compiler

Compiled 39 to 15 computations (61.5% saved)

series6.0ms (0.1%)

Counts

3 → 39

Calls

18 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)))
0.0ms	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)))

rewrite107.0ms (1.4%)

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	65
1	263	65
2	3653	65

Stop Event

1×	node limit

Counts

3 → 146

Calls

Call 1

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

Outputs

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simplify141.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

636×	`+-commutative`
576×	`associate-/l*`
544×	`associate-r`
534×	`associate-+r+`
532×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	435	10825
1	1245	9733
2	5910	9637

Stop Event

1×	node limit

Counts

185 → 271

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

eval223.0ms (2.8%)

Compiler: Compiled 10563 to 5481 computations (48.1% saved)

prune90.0ms (1.1%)

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	455	9	464
Fresh	0	2	2
Picked	0	1	1
Done	2	9	11
Total	457	21	478

Error

Counts

478 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.0b	(/.f64 (*.f64 (sin.f64 x) y) x)
✓	2.0b	(/.f64 (sin.f64 x) (/.f64 x y))
	1.8b	(/.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))))
✓	1.8b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
▶	1.2b	(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
▶	32.3b	(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
	46.2b	(-.f64 (+.f64 1 y) 1)
✓	33.1b	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	1.0b	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	1.1b	(*.f64 (/.f64 y x) (sin.f64 x))
▶	19.1b	(*.f64 (/.f64 y x) x)
	45.1b	(.f64 (/.f64 1 x) (.f64 y x))
✓	1.1b	(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
▶	61.6b	(.f64 (.f64 -1/6 x) (*.f64 y x))
	61.8b	(.f64 y (.f64 (*.f64 -1/6 x) x))
▶	19.1b	(.f64 x (.f64 y (/.f64 1 x)))
✓	31.7b	(*.f64 1 (sinh.f64 y))
	40.1b	(sqrt.f64 (*.f64 y y))
	32.1b	y

Compiler

Compiled 290 to 200 computations (31% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.1b	(/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y))
✓	0.1b	(/.f64 (+.f64 x x) (sin.f64 x))
✓	1.1b	(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series6.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite94.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`unswap-sqr`
874×	`swap-sqr`
518×	`distribute-lft-neg-in`
456×	`distribute-rgt-neg-in`
374×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	77
1	270	77
2	4039	77

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

Inputs
(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
(/.f64 (+.f64 x x) (sin.f64 x))
(/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y))

Outputs

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simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1054×	`associate-r`
926×	`associate-l`
904×	`associate-+r+`
824×	`*-commutative`
748×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	485	9498
1	1484	8814
2	6419	8814

Stop Event

1×	node limit

Counts

242 → 313

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	13.6b	(*.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)

rewrite51.0ms (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 (/.f64 y x) 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 (/.f64 y x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 y x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) 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 (/.f64 y x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 y x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 y x) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) x)))))))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1160×	`associate-r`
1070×	`times-frac`
954×	`associate-l`
816×	`associate-+l+`
760×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	46
1	140	46
2	576	46
3	6077	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 (/.f64 y x) 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 (/.f64 y x) x) 1)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) x)) 2)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) x)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) x) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 y x) x)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) x)) 1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) 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 (/.f64 y x) 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 (/.f64 y x) x) 1)
y
(pow.f64 (sqrt.f64 (*.f64 (/.f64 y x) x)) 2)
y
(pow.f64 (cbrt.f64 (*.f64 (/.f64 y x) x)) 3)
y
(pow.f64 (pow.f64 (*.f64 (/.f64 y x) x) 3) 1/3)
y
(sqrt.f64 (pow.f64 (*.f64 (/.f64 y x) x) 2))
y
(log.f64 (pow.f64 (exp.f64 (/.f64 y x)) x))
y
(cbrt.f64 (pow.f64 (*.f64 (/.f64 y x) x) 3))
y
(expm1.f64 (log1p.f64 (*.f64 (/.f64 y x) x)))
y
(exp.f64 (log.f64 (*.f64 (/.f64 y x) x)))
y
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 y x) x)) 1))
y
(log1p.f64 (expm1.f64 (*.f64 (/.f64 y x) x)))
y

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y (/.f64 1 x))
✓	13.6b	(.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	@	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	x	@	0	(.f64 x (.f64 y (/.f64 1 x)))

rewrite56.0ms (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 x (*.f64 y (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x y) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x y) -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 y (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 y (/.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 y (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 y (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 y (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 x (*.f64 y (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 y (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 y (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 y (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 y (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 y (/.f64 1 x)))))))))

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-+r+`
1298×	`associate-+l+`
810×	`*-commutative`
660×	`unswap-sqr`
638×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	361
1	200	361
2	827	361
3	4444	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 x (.f64 y (/.f64 1 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 x (.f64 y (/.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (.f64 x (.f64 y (/.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 y (/.f64 1 x)))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 y (/.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 x (.f64 y (/.f64 1 x))) 2))
(log.f64 (exp.f64 (.f64 x (.f64 y (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (.f64 x (.f64 y (/.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 y (/.f64 1 x)))))
(exp.f64 (log.f64 (.f64 x (.f64 y (/.f64 1 x)))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 y (/.f64 1 x)))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 y (/.f64 1 x)))))
(-.f64 (+.f64 1 (*.f64 y (/.f64 1 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 (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 1 x)) 2))
(log.f64 (exp.f64 (*.f64 y (/.f64 1 x))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 1 x))))
(exp.f64 (log.f64 (*.f64 y (/.f64 1 x))))
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 1 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 x (.f64 y (/.f64 1 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 x (.f64 y (/.f64 1 x))) 1)
y
(pow.f64 (sqrt.f64 (.f64 x (.f64 y (/.f64 1 x)))) 2)
y
(pow.f64 (cbrt.f64 (.f64 x (.f64 y (/.f64 1 x)))) 3)
y
(pow.f64 (pow.f64 (.f64 x (.f64 y (/.f64 1 x))) 3) 1/3)
y
(sqrt.f64 (pow.f64 (.f64 x (.f64 y (/.f64 1 x))) 2))
y
(log.f64 (exp.f64 (.f64 x (.f64 y (/.f64 1 x)))))
y
(cbrt.f64 (pow.f64 (.f64 x (.f64 y (/.f64 1 x))) 3))
y
(expm1.f64 (log1p.f64 (.f64 x (.f64 y (/.f64 1 x)))))
y
(exp.f64 (log.f64 (.f64 x (.f64 y (/.f64 1 x)))))
y
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 y (/.f64 1 x)))) 1))
y
(log1p.f64 (expm1.f64 (.f64 x (.f64 y (/.f64 1 x)))))
y
(-.f64 (+.f64 1 (*.f64 y (/.f64 1 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 (/.f64 1 x)) 1)
(/.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 1 x))) 2)
(/.f64 y x)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 1 x))) 3)
(/.f64 y x)
(pow.f64 (pow.f64 (*.f64 y (/.f64 1 x)) 3) 1/3)
(/.f64 y x)
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 1 x)) 2))
(/.f64 y x)
(log.f64 (exp.f64 (*.f64 y (/.f64 1 x))))
(/.f64 y x)
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 1 x)) 3))
(/.f64 y x)
(expm1.f64 (log1p.f64 (*.f64 y (/.f64 1 x))))
(/.f64 y x)
(exp.f64 (log.f64 (*.f64 y (/.f64 1 x))))
(/.f64 y x)
(exp.f64 (.f64 (log.f64 (.f64 y (/.f64 1 x))) 1))
(/.f64 y x)
(log1p.f64 (expm1.f64 (*.f64 y (/.f64 1 x))))
(/.f64 y x)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1576×	`add-sqr-sqrt`
1556×	`*-un-lft-identity`
1448×	`add-cube-cbrt`
1422×	`add-cbrt-cube`
1406×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	163	26
2	1958	26

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1522×	`distribute-lft-in`
1512×	`distribute-rgt-in`
1346×	`associate-+r+`
1340×	`associate-+l+`
632×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	910
1	158	844
2	654	772
3	2486	772

Stop Event

1×	node limit

Counts

48 → 31

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

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

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 27 to 20 computations (25.9% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite70.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1966×	`add-sqr-sqrt`
1934×	`*-un-lft-identity`
1820×	`add-cube-cbrt`
1804×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	194	43
2	2481	43

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

Outputs

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

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

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

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

866×	`unswap-sqr`
836×	`associate-/r*`
764×	`fma-def`
728×	`associate-*r/`
676×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2712
1	499	2562
2	1908	2458

Stop Event

1×	node limit

Counts

116 → 127

Calls

Call 1

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

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

eval146.0ms (1.8%)

Compiler: Compiled 10614 to 5082 computations (52.1% saved)

prune122.0ms (1.5%)

Pruning

27 alts after pruning (13 fresh and 14 done)

	Pruned	Kept	Total
New	593	7	600
Fresh	0	6	6
Picked	1	0	1
Done	0	14	14
Total	594	27	621

Error

Counts

621 → 27

Alt Table

Click to see full alt table

Status	Error	Program
✓	14.0b	(/.f64 (*.f64 (sin.f64 x) y) x)
✓	2.0b	(/.f64 (sin.f64 x) (/.f64 x y))
	1.8b	(/.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))))
✓	1.8b	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
	18.3b	(/.f64 x (/.f64 x y))
✓	1.2b	(/.f64 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))
	45.1b	(/.f64 1 (/.f64 x (*.f64 y x)))
	32.2b	(/.f64 1 (/.f64 1 y))
	62.7b	(/.f64 -6 y)
	46.2b	(-.f64 (+.f64 1 y) 1)
✓	33.1b	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	0.2b	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	1.0b	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	1.1b	(*.f64 (/.f64 y x) (sin.f64 x))
✓	19.1b	(*.f64 (/.f64 y x) x)
	45.1b	(.f64 (/.f64 1 x) (.f64 y x))
✓	1.1b	(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
✓	61.6b	(.f64 (.f64 -1/6 x) (*.f64 y x))
	61.8b	(.f64 y (.f64 (*.f64 -1/6 x) x))
	18.4b	(*.f64 x (/.f64 1 (/.f64 x y)))
	31.3b	(.f64 x (-.f64 (+.f64 1 (.f64 y (/.f64 1 x))) 1))
✓	19.1b	(.f64 x (.f64 y (/.f64 1 x)))
✓	31.7b	(*.f64 1 (sinh.f64 y))
	61.8b	(.f64 -1/6 (.f64 y (*.f64 x x)))
	40.1b	(sqrt.f64 (*.f64 y y))
	32.1b	y

Compiler

Compiled 240 to 164 computations (31.7% saved)

regimes60.0ms (0.8%)

Counts

32 → 1

Calls

Call 1

Inputs
y
(/.f64 -6 y)
(*.f64 (/.f64 y x) x)
(-.f64 (+.f64 1 y) 1)
(/.f64 1 (/.f64 1 y))
(/.f64 x (/.f64 x y))
(/.f64 (*.f64 y x) x)
(.f64 -1/6 (.f64 y (*.f64 x x)))
(.f64 x (.f64 y (/.f64 1 x)))
(*.f64 x (/.f64 1 (/.f64 x y)))
(.f64 y (.f64 (*.f64 -1/6 x) x))
(.f64 (.f64 -1/6 x) (*.f64 y x))
(.f64 (/.f64 1 x) (.f64 y x))
(/.f64 1 (/.f64 x (*.f64 y x)))
(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
(/.f64 1 (+.f64 (/.f64 1 y) (*.f64 y -1/6)))
(.f64 x (-.f64 (+.f64 1 (.f64 y (/.f64 1 x))) 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 (/.f64 1 x) (sin.f64 x)) y)
(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
(/.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (+.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 2 (/.f64 (/.f64 (+.f64 x x) (sin.f64 x)) (sinh.f64 y)))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 244 to 118 computations (51.6% saved)

regimes45.0ms (0.6%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	y
13.0ms	x
12.0ms	(sinh.f64 y)

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`y`
1.0b	1	`(sinh.f64 y)`

Compiler

Compiled 196 to 100 computations (49% saved)

regimes40.0ms (0.5%)

Counts

21 → 1

Calls

Call 1

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

15.0ms	x
11.0ms	(sinh.f64 y)
11.0ms	y

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`y`
1.1b	1	`(sinh.f64 y)`

Compiler

Compiled 142 to 79 computations (44.4% saved)

regimes32.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
18.3b	1	`x`
18.3b	1	`y`
18.3b	1	`(sinh.f64 y)`

Compiler

Compiled 136 to 77 computations (43.4% saved)

regimes10.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
19.1b	1	`x`
19.1b	1	`y`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -30.7b remaining (-95.6%)

Threshold costs -30.7b (-95.6%)

Counts

2 → 1

Calls

Call 1

Inputs
y
(/.f64 -6 y)

Outputs
y

Calls

2 calls:

3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	82
1	19	82

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

Compiler

Compiled 42 to 26 computations (38.1% saved)

soundness134.0ms (1.7%)

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)

end26.0ms (0.3%)

Compiler: Compiled 32 to 12 computations (62.5% saved)