Details

analyze146.0ms (1.7%)

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)

sample3.1s (36.5%)

Results

1.2s	6945×	body	256	valid
762.0ms	1929×	body	1024	infinite
314.0ms	654×	body	1024	valid
282.0ms	1587×	body	256	infinite
250.0ms	1016×	body	512	infinite
234.0ms	657×	body	512	valid

Bogosity

preprocess69.0ms (0.8%)

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)

simplify58.0ms (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

4 alts after pruning (4 fresh and 0 done)

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

Error

0.01%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1%	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
▶	1.39%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
▶	0.2%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	0.1%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.07%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	0.21%	(/.f64 (sin.f64 x) x)

Compiler

Compiled 19 to 6 computations (68.4% saved)

series8.0ms (0.1%)

Counts

2 → 28

Calls

9 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	@	0	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
1.0ms	x	@	inf	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))

rewrite90.0ms (1.1%)

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	32
1	187	32
2	2476	32

Stop Event

1×	node limit

Counts

2 → 183

Calls

Call 1

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

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

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

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1066×	`associate-/l*`
964×	`distribute-lft-in`
954×	`distribute-rgt-in`
700×	`associate-/l/`
554×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	515	6443
1	1353	6317
2	5938	6317

Stop Event

1×	node limit

Counts

211 → 279

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 6 computations (68.4% saved)

series34.0ms (0.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	y	@	0	(/.f64 (sinh.f64 y) x)
0.0ms	y	@	-inf	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
0.0ms	y	@	inf	(/.f64 (sinh.f64 y) x)
0.0ms	x	@	-inf	(/.f64 (sinh.f64 y) x)
0.0ms	y	@	-inf	(/.f64 (sinh.f64 y) x)

rewrite90.0ms (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	32
1	187	32
2	2466	32

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

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

Outputs
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Outputs

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

simplify109.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

212 → 274

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 x (sinh.f64 y))
✓	1.39%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite75.0ms (0.9%)

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

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

191 → 209

Calls

Call 1

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

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

New	Error	Program
✓	0.09%	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
✓	0.15%	(/.f64 x (sin.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite105.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`associate-*r/`
1556×	`associate-/l*`
1116×	`associate-*l/`
1024×	`*-commutative`
498×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	193	32
2	2708	32

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

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

Outputs

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

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

884×	`distribute-rgt-in`
878×	`distribute-lft-in`
700×	`distribute-lft-neg-out`
690×	`distribute-rgt-neg-out`
454×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	4153
1	855	4071
2	3843	3995

Stop Event

1×	node limit

Counts

151 → 184

Calls

Call 1

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

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

eval267.0ms (3.1%)

Compiler: Compiled 14612 to 4780 computations (67.3% saved)

prune220.0ms (2.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	939	7	946
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	941	9	950

Error

Counts

950 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.36%	(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
	23.22%	(/.f64 (*.f64 y (sin.f64 x)) x)
▶	47.3%	(/.f64 (sinh.f64 y) 1)
▶	3.15%	(/.f64 (sin.f64 x) (/.f64 x y))
	2.75%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
▶	1.86%	(/.f64 y (/.f64 x (sin.f64 x)))
✓	0.2%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.1%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
▶	1.96%	(*.f64 (/.f64 y x) (sin.f64 x))

Compiler

Compiled 144 to 96 computations (33.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.01%	(/.f64 (sinh.f64 y) x)
✓	0.22%	(/.f64 1 (sin.f64 x))
✓	0.35%	(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))

Compiler

Compiled 26 to 11 computations (57.7% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite80.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

936×	`associate-/r/`
922×	`unswap-sqr`
896×	`associate-/l/`
774×	`swap-sqr`
444×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	234	32
2	3245	32

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

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

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

simplify83.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1276×	`associate-/r/`
666×	`distribute-rgt-in`
660×	`distribute-lft-in`
470×	`*-commutative`
432×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	341	4452
1	917	4346
2	3328	4252

Stop Event

1×	node limit

Counts

142 → 193

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

localize4.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (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 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))))))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 41

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.08%	(/.f64 y (/.f64 x (sin.f64 x)))
	0.15%	(/.f64 x (sin.f64 x))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1400×	`associate-*r/`
950×	`associate-*l/`
804×	`associate-/l*`
788×	`associate-+l-`
714×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	1368
1	343	1332
2	1323	1332
3	6393	1332

Stop Event

1×	node limit

Counts

66 → 62

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.39%	(/.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	@	inf	(/.f64 (sin.f64 x) (/.f64 x y))
0.0ms	x	@	0	(/.f64 (sin.f64 x) (/.f64 x y))
0.0ms	x	@	-inf	(/.f64 (sin.f64 x) (/.f64 x y))
0.0ms	y	@	-inf	(/.f64 (sin.f64 x) (/.f64 x y))
0.0ms	y	@	inf	(/.f64 (sin.f64 x) (/.f64 x y))

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

66 → 62

Calls

Call 1

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

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

eval162.0ms (1.9%)

Compiler: Compiled 7271 to 2915 computations (59.9% saved)

prune106.0ms (1.2%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	485	6	491
Fresh	1	1	2
Picked	0	1	1
Done	1	5	6
Total	487	13	500

Error

Counts

500 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.1%	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
✓	47.3%	(/.f64 (sinh.f64 y) 1)
✓	3.15%	(/.f64 (sin.f64 x) (/.f64 x y))
	2.75%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
✓	1.86%	(/.f64 y (/.f64 x (sin.f64 x)))
▶	49.06%	(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
▶	49.06%	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	0.2%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.1%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
▶	1.86%	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	1.96%	(*.f64 (/.f64 y x) (sin.f64 x))
▶	23.32%	(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
	47.72%	y

Compiler

Compiled 183 to 122 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.07%	(*.f64 (/.f64 (sin.f64 x) x) y)
	0.21%	(/.f64 (sin.f64 x) x)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (1%)

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)))))))

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 42

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.24%	(.f64 -1/6 (.f64 y (*.f64 x x)))
✓	11.48%	(.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	y	@	0	(.f64 y (.f64 x x))
0.0ms	x	@	0	(.f64 y (.f64 x x))
0.0ms	y	@	inf	(.f64 y (.f64 x x))
0.0ms	x	@	inf	(.f64 y (.f64 x x))
0.0ms	y	@	0	(.f64 -1/6 (.f64 y (*.f64 x x)))

rewrite78.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

72 → 31

Calls

Call 1

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

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

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.52%	(*.f64 -1/6 y)
✓	11.54%	(.f64 (.f64 -1/6 y) (*.f64 x x))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite56.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`add-sqr-sqrt`
1492×	`*-un-lft-identity`
1390×	`add-cube-cbrt`
1370×	`add-cbrt-cube`
1356×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	163	26
2	1959	26

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1308×	`distribute-lft-in`
1296×	`distribute-rgt-in`
1248×	`associate-+l+`
1218×	`associate-+r+`
734×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	922
1	168	850
2	684	776
3	2419	772

Stop Event

1×	node limit

Counts

48 → 32

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.22%	(/.f64 1 (sin.f64 x))
✓	0.32%	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite69.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`*-commutative`
786×	`unswap-sqr`
716×	`associate-/r/`
630×	`swap-sqr`
620×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	210	17
2	2901	17

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

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

simplify89.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1456×	`times-frac`
1120×	`associate-/r*`
788×	`associate-/l/`
754×	`*-commutative`
754×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	230	2512
1	628	2376
2	2052	2376
3	7993	2376

Stop Event

1×	node limit

Counts

108 → 110

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

localize54.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.45%	(/.f64 (sin.f64 x) (/.f64 1 y))
✓	21.49%	(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite188.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 168

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) y)) 2) (/.f64 x (cbrt.f64 (*.f64 (sin.f64 x) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x y) (cbrt.f64 (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 x (*.f64 (sqrt.f64 (sin.f64 x)) y)) (cbrt.f64 (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 x y) (cbrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (/.f64 x (neg.f64 y)) (neg.f64 (cbrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (/.f64 x y) (/.f64 1 (cbrt.f64 (sin.f64 x)))))))) 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simplify120.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

216 → 279

Calls

Call 1

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

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

eval238.0ms (2.8%)

Compiler: Compiled 8855 to 3811 computations (57% saved)

prune188.0ms (2.2%)

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	621	6	627
Fresh	0	2	2
Picked	0	1	1
Done	1	9	10
Total	622	18	640

Error

Counts

640 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.1%	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
▶	24.12%	(/.f64 (/.f64 y x) (/.f64 1 x))
	21.3%	(/.f64 (/.f64 y x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
✓	47.3%	(/.f64 (sinh.f64 y) 1)
✓	3.15%	(/.f64 (sin.f64 x) (/.f64 x y))
	2.75%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
✓	1.86%	(/.f64 y (/.f64 x (sin.f64 x)))
▶	49.06%	(+.f64 y (.f64 y (.f64 x (*.f64 x -1/6))))
✓	49.06%	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	0.2%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.1%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	1.86%	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	1.96%	(*.f64 (/.f64 y x) (sin.f64 x))
✓	23.32%	(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
▶	69.11%	(.f64 (/.f64 1 x) (.f64 y x))
▶	49.06%	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
▶	2.04%	(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
	47.72%	y

Compiler

Compiled 246 to 166 computations (32.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.07%	(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
✓	0.42%	(*.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	y	@	inf	(.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))

rewrite90.0ms (1.1%)

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

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

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1364×	`associate-+l+`
1346×	`associate-+r+`
616×	`unswap-sqr`
458×	`associate-*r/`
406×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1172
1	266	1156
2	926	1148
3	4566	1138

Stop Event

1×	node limit

Counts

74 → 68

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	21.59%	(.f64 (/.f64 1 x) (.f64 y x))

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`add-sqr-sqrt`
1540×	`*-un-lft-identity`
1432×	`add-cube-cbrt`
1406×	`add-cbrt-cube`
1390×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	160	13
2	1967	13

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-l`
1022×	`times-frac`
888×	`associate-+l+`
884×	`associate-/l*`
846×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	48
1	153	48
2	651	48
3	6126	48

Stop Event

1×	node limit

Counts

48 → 25

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	25.26%	(/.f64 (/.f64 y x) (/.f64 1 x))

Compiler

Compiled 18 to 9 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite85.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1644×	`add-sqr-sqrt`
1628×	`*-un-lft-identity`
1526×	`add-cube-cbrt`
1502×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	171	1
2	2405	1

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-/r*`
1304×	`associate-+r+`
1010×	`associate-+l+`
776×	`associate-/r/`
648×	`associate-+r-`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	238
1	288	202
2	1555	202
3	5820	202

Stop Event

1×	node limit

Counts

64 → 45

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.26%	(.f64 -1/6 (.f64 x x))
✓	11.44%	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)

Compiler

Compiled 30 to 16 computations (46.7% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	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	y	@	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)

rewrite87.0ms (1%)

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

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1134×	`associate-r`
1010×	`associate-l`
674×	`log-prod`
600×	`associate-+r+`
590×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	1422
1	235	1382
2	690	1366
3	3662	1366
4	7148	1366

Stop Event

1×	node limit

Counts

70 → 58

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

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.17%	(.f64 x (.f64 x -1/6))
✓	0.57%	(*.f64 x -1/6)
✓	11.49%	(.f64 y (.f64 x (*.f64 x -1/6)))

Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite61.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Outputs

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

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

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

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

84 → 41

Calls

Call 1

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

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

eval67.0ms (0.8%)

Compiler: Compiled 2468 to 1384 computations (43.9% saved)

prune41.0ms (0.5%)

Pruning

26 alts after pruning (12 fresh and 14 done)

	Pruned	Kept	Total
New	228	9	237
Fresh	0	3	3
Picked	1	0	1
Done	0	14	14
Total	229	26	255

Error

Counts

255 → 26

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.1%	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
✓	24.12%	(/.f64 (/.f64 y x) (/.f64 1 x))
	21.3%	(/.f64 (/.f64 y x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
	69.05%	(/.f64 (*.f64 x y) x)
✓	47.3%	(/.f64 (sinh.f64 y) 1)
✓	3.15%	(/.f64 (sin.f64 x) (/.f64 x y))
	2.75%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
✓	1.86%	(/.f64 y (/.f64 x (sin.f64 x)))
	22.26%	(/.f64 x (/.f64 x y))
	69.15%	(/.f64 1 (/.f64 x (*.f64 x y)))
	67.22%	(-.f64 (+.f64 1 (*.f64 x (/.f64 y x))) 1)
✓	49.06%	(+.f64 y (.f64 -1/6 (.f64 y (*.f64 x x))))
✓	0.2%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.1%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	1.86%	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	1.96%	(*.f64 (/.f64 y x) (sin.f64 x))
	24.02%	(*.f64 (/.f64 y x) x)
✓	23.32%	(*.f64 (/.f64 1 x) (/.f64 (sin.f64 x) (/.f64 1 y)))
✓	69.11%	(.f64 (/.f64 1 x) (.f64 y x))
✓	49.06%	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) y)
✓	2.04%	(.f64 (.f64 (/.f64 1 x) (sin.f64 x)) y)
	96.6%	(.f64 y (.f64 (*.f64 -1/6 x) x))
	96.6%	(.f64 y (.f64 -1/6 (*.f64 x x)))
	96.35%	(.f64 x (.f64 y (*.f64 -1/6 x)))
	65.11%	(sqrt.f64 (*.f64 y y))
	47.72%	y

Compiler

Compiled 232 to 155 computations (33.2% saved)

regimes247.0ms (2.9%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

4 calls:

81.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
55.0ms	x
16.0ms	y
15.0ms	(sinh.f64 y)

Results

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

Compiler

Compiled 255 to 114 computations (55.3% saved)

regimes74.0ms (0.9%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	y
17.0ms	(sinh.f64 y)
14.0ms	x

Results

Error	Segments	Branch
0.1%	1	`x`
0.1%	1	`y`
0.1%	1	`(sinh.f64 y)`

Compiler

Compiled 223 to 102 computations (54.3% saved)

regimes47.0ms (0.5%)

Counts

27 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	(sinh.f64 y)
14.0ms	y
13.0ms	x

Results

Error	Segments	Branch
1.86%	1	`x`
1.86%	1	`y`
1.86%	1	`(sinh.f64 y)`

Compiler

Compiled 202 to 97 computations (52% saved)

regimes38.0ms (0.4%)

Counts

20 → 1

Calls

Call 1

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

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

Calls

3 calls:

13.0ms	(sinh.f64 y)
11.0ms	x
11.0ms	y

Results

Error	Segments	Branch
1.86%	1	`x`
1.86%	1	`y`
1.86%	1	`(sinh.f64 y)`

Compiler

Compiled 146 to 75 computations (48.6% saved)

regimes36.0ms (0.4%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	(sinh.f64 y)
10.0ms	x
10.0ms	y

Results

Error	Segments	Branch
1.96%	1	`x`
1.96%	1	`y`
1.96%	1	`(sinh.f64 y)`

Compiler

Compiled 140 to 73 computations (47.9% saved)

regimes37.0ms (0.4%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	y
10.0ms	(sinh.f64 y)
9.0ms	x

Results

Error	Segments	Branch
21.3%	1	`x`
21.3%	1	`y`
21.3%	1	`(sinh.f64 y)`

Compiler

Compiled 134 to 71 computations (47% saved)

regimes21.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

2 calls:

9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
22.26%	1	`x`
22.26%	1	`y`

Compiler

Compiled 111 to 57 computations (48.6% saved)

regimes8.0ms (0.1%)

Accuracy

Total -15.2b remaining (-99%)

Threshold costs -15.2b (-99%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Error	Segments	Branch
24.02%	1	`x`
24.02%	1	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	151
1	32	151

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 72 to 46 computations (36.1% saved)

soundness146.0ms (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 23 to 10 computations (56.5% saved)

end43.0ms (0.5%)

Compiler: Compiled 56 to 21 computations (62.5% saved)