Details

analyze149.0ms (1.5%)

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)

sample3.4s (34.2%)

Results

1.2s	6908×	body	256	valid
1.0s	2082×	body	1024	infinite
424.0ms	1063×	body	512	infinite
310.0ms	646×	body	1024	valid
275.0ms	1557×	body	256	infinite
190.0ms	702×	body	512	valid

Bogosity

preprocess58.0ms (0.6%)

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)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 7

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune3.0ms (0%)

Pruning

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

0.02%

Counts

8 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.13%	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
▶	1.01%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
▶	0.27%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
▶	0.13%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))

Compiler

Compiled 36 to 24 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.08%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
✓	0.16%	(/.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	@	inf	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
1.0ms	x	@	0	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))

rewrite115.0ms (1.2%)

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))))))))

simplify138.0ms (1.4%)

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
✓	0.02%	(/.f64 (sinh.f64 y) x)
✓	0.28%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))

Compiler

Compiled 19 to 6 computations (68.4% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite107.0ms (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)))))))

simplify128.0ms (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)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(/.f64 x (sinh.f64 y))
✓	1%	(/.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))
1.0ms	y	@	-inf	(/.f64 x (sinh.f64 y))
0.0ms	x	@	-inf	(/.f64 x (sinh.f64 y))
0.0ms	x	@	0	(/.f64 x (sinh.f64 y))
0.0ms	y	@	0	(/.f64 x (sinh.f64 y))

rewrite75.0ms (0.7%)

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))))))))

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

191 → 209

Calls

Call 1

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

Outputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (.f64 -1/12 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (*.f64 x x)))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (*.f64 x x) -1/12)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 1/2 (.f64 (*.f64 x x) -1/12)))
(+.f64 (.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))) (.f64 1/240 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/12 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 x x)) (.f64 1/240 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 x 4)))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/240) (pow.f64 x 4) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (.f64 x x) -1/12))))
(fma.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (+.f64 (.f64 (.f64 x x) -1/12) (.f64 (pow.f64 x 4) 1/240))))
(+.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
✓	0.13%	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
✓	0.18%	(/.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	x	@	0	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
0.0ms	y	@	0	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))

rewrite134.0ms (1.3%)

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))))))))

simplify85.0ms (0.9%)

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))
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(*.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)))))
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(*.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)))
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(*.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))

eval261.0ms (2.6%)

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

prune228.0ms (2.3%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	937	9	946
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	938	12	950

Error

Counts

950 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.69%	(pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 3)
▶	0.43%	(/.f64 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))
✓	0.13%	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
▶	46.52%	(/.f64 (sinh.f64 y) 1)
✓	1.01%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	3.44%	(/.f64 (sin.f64 x) (/.f64 x y))
	2.98%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
▶	1.2%	(/.f64 (sin.f64 x) (*.f64 (/.f64 1 (sinh.f64 y)) x))
▶	2.57%	(/.f64 y (/.f64 x (sin.f64 x)))
✓	0.13%	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
	2.7%	(*.f64 (/.f64 y x) (sin.f64 x))
▶	47.88%	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))

Compiler

Compiled 207 to 144 computations (30.4% saved)

localize47.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.02%	(/.f64 (sinh.f64 y) x)
✓	0.2%	(/.f64 1 (sin.f64 x))
✓	0.43%	(/.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	x	@	0	(/.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 (/.f64 (sinh.f64 y) x) (/.f64 1 (sin.f64 x)))

rewrite84.0ms (0.8%)

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))))))))

simplify88.0ms (0.9%)

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))))
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(*.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)
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)
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(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))))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (.f64 1 (.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x)))))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
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(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(neg.f64 (/.f64 (*.f64 (/.f64 (sinh.f64 y) x) (neg.f64 (sin.f64 x))) 1))
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(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%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.12%	(/.f64 y (/.f64 x (sin.f64 x)))
	0.18%	(/.f64 x (sin.f64 x))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series8.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(/.f64 y (/.f64 x (sin.f64 x)))
1.0ms	y	@	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)))
0.0ms	y	@	-inf	(/.f64 y (/.f64 x (sin.f64 x)))

rewrite64.0ms (0.6%)

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))))))))

simplify73.0ms (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))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.32%	(.f64 -1/6 (.f64 x x))
✓	11%	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))

Compiler

Compiled 33 to 17 computations (48.5% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`*-commutative`
776×	`unswap-sqr`
736×	`associate-*r/`
640×	`swap-sqr`
556×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	245	38
2	3027	38

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1762×	`associate-*r/`
1422×	`associate-/l*`
1074×	`associate-/l/`
966×	`associate-/r/`
748×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	282	5206
1	760	4810
2	2896	4570

Stop Event

1×	node limit

Counts

122 → 153

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 -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 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(.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 -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 -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 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(.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 -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 -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 -1/12 (*.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2))))
(.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) y)
(+.f64 (.f64 1/6 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (.f64 1/6 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) y)))
(+.f64 (.f64 1/5040 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 7))) (+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (.f64 1/6 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 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 (sinh.f64 y) (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y)))
(+.f64 (sinh.f64 y) (.f64 1 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y))))
(+.f64 (sinh.f64 y) (.f64 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y)) 1))
(+.f64 (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (sinh.f64 y))
(+.f64 (.f64 1 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y))) (sinh.f64 y))
(+.f64 (.f64 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y)) 1) (sinh.f64 y))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) (-.f64 1 (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)))) 1)
(-.f64 (/.f64 (exp.f64 y) 2) (-.f64 (/.f64 (exp.f64 (neg.f64 y)) 2) (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y))))
(-.f64 (+.f64 (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (exp.f64 (log1p.f64 (sinh.f64 y)))) 1)
(-.f64 (+.f64 (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (/.f64 (exp.f64 y) 2)) (/.f64 (exp.f64 (neg.f64 y)) 2))
(/.f64 (fma.f64 -1/6 (*.f64 x x) 1) (/.f64 1 (sinh.f64 y)))
(/.f64 (sinh.f64 y) (/.f64 1 (fma.f64 -1/6 (*.f64 x x) 1)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (/.f64 (+.f64 1 (.f64 (*.f64 x x) 1/6)) (sinh.f64 y)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (/.f64 (+.f64 2 (.f64 2 (.f64 (.f64 x x) 1/6))) (*.f64 (sinh.f64 y) 2)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))) (sinh.f64 y)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))) (.f64 (sinh.f64 y) 2)))
(/.f64 (.f64 (sinh.f64 y) 2) (/.f64 2 (fma.f64 -1/6 (.f64 x x) 1)))
(/.f64 (.f64 (sinh.f64 y) 2) (/.f64 (+.f64 2 (.f64 2 (.f64 (.f64 x x) 1/6))) (+.f64 1 (*.f64 (pow.f64 x 4) -1/36))))
(/.f64 (.f64 (sinh.f64 y) 2) (/.f64 (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))))
(/.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (*.f64 (sinh.f64 y) 2)) 2)
(/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (+.f64 1 (.f64 (.f64 x x) 1/6)))
(/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (.f64 (sinh.f64 y) 2)) (+.f64 2 (.f64 2 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (.f64 (sinh.f64 y) 2)) (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 1 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (.f64 (sinh.f64 y) 2))) 2)
(/.f64 (.f64 1 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36)))) (+.f64 1 (.f64 (*.f64 x x) 1/6)))
(/.f64 (.f64 1 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))
(/.f64 (.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (.f64 (sinh.f64 y) 2))) (+.f64 2 (.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (.f64 (sinh.f64 y) 2))) (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (*.f64 -2 (sinh.f64 y))) -2)
(/.f64 (.f64 (sinh.f64 y) (-.f64 (.f64 (pow.f64 x 4) 1/36) 1)) (-.f64 (.f64 -1/6 (.f64 x x)) 1))
(/.f64 (.f64 (sinh.f64 y) (+.f64 -1 (neg.f64 (.f64 (pow.f64 x 4) -1/36)))) (+.f64 -1 (neg.f64 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (sinh.f64 y) (+.f64 -1 (neg.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (+.f64 -1 (neg.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (.f64 (sinh.f64 y) 2))) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (.f64 (sinh.f64 y) 2))) (cbrt.f64 2))
(/.f64 (.f64 (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 (sinh.f64 y) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 x x) 1)) 2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 4) 1/36) 1) (sinh.f64 y)) (-.f64 (.f64 -1/6 (.f64 x x)) 1))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 x 4) -1/36))) (sinh.f64 y)) (+.f64 -1 (neg.f64 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (sinh.f64 y)) (+.f64 -1 (neg.f64 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (.f64 -2 (sinh.f64 y)) (fma.f64 -1/6 (*.f64 x x) 1)) -2)
(/.f64 (.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (.f64 (sinh.f64 y) 2)) 1) 2)
(/.f64 (.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) 1) (+.f64 1 (.f64 (*.f64 x x) 1/6)))
(/.f64 (.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) 1) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (.f64 (sinh.f64 y) 2)) 1) (+.f64 2 (.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (.f64 (sinh.f64 y) 2)) 1) (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) 1) (+.f64 1 (.f64 (.f64 x x) 1/6)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))) (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/6))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) 1) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))
(pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 1)
(pow.f64 (sqrt.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))) 2)
(pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))) 3)
(pow.f64 (pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (fma.f64 -1/6 (*.f64 x x) 1)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 3))
(cbrt.f64 (.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (fma.f64 -1/6 (.f64 x x) 1) 3)))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(exp.f64 (log.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(+.f64 1 (-.f64 (.f64 -1/6 (.f64 x x)) 1))
(+.f64 (.f64 -1/6 (.f64 x x)) 0)
(-.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/6))) (+.f64 (/.f64 (.f64 (pow.f64 x 4) 1/36) (+.f64 1 (.f64 (*.f64 x x) 1/6))) 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 -1/6) (*.f64 x x)))
(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))))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 x x))))

Outputs
(*.f64 1/2 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))
(*.f64 1/2 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))
(+.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 -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 -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 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(.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 (*.f64 x x) -1/12))
(+.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 -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 -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 -1/12 (.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 x 2)))
(.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 (*.f64 x x) -1/12))
(+.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 -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 -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 (.f64 -1/6 (pow.f64 x 2))) y)
(.f64 y (fma.f64 -1/6 (.f64 x x) 1))
(+.f64 (.f64 1/6 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y))
(fma.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1)) (.f64 y (fma.f64 -1/6 (.f64 x x) 1)))
(fma.f64 y (fma.f64 -1/6 (.f64 x x) 1) (.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1))))
(.f64 (fma.f64 -1/6 (.f64 x x) 1) (+.f64 y (*.f64 (pow.f64 y 3) 1/6)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (.f64 1/6 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) y)))
(fma.f64 1/120 (.f64 (pow.f64 y 5) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1)) (.f64 y (fma.f64 -1/6 (.f64 x x) 1))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 y (fma.f64 -1/6 (.f64 x x) 1) (.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1)))))
(fma.f64 1/120 (.f64 (pow.f64 y 5) (fma.f64 -1/6 (.f64 x x) 1)) (.f64 (fma.f64 -1/6 (.f64 x x) 1) (+.f64 y (*.f64 (pow.f64 y 3) 1/6))))
(+.f64 (.f64 1/5040 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 7))) (+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 5))) (+.f64 (.f64 1/6 (.f64 (+.f64 1 (.f64 -1/6 (pow.f64 x 2))) (pow.f64 y 3))) (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) y))))
(fma.f64 1/5040 (.f64 (pow.f64 y 7) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 1/120 (.f64 (pow.f64 y 5) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1)) (.f64 y (fma.f64 -1/6 (.f64 x x) 1)))))
(fma.f64 1/5040 (.f64 (pow.f64 y 7) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 1/120 (.f64 (pow.f64 y 5) (fma.f64 -1/6 (.f64 x x) 1)) (fma.f64 y (fma.f64 -1/6 (.f64 x x) 1) (.f64 1/6 (.f64 (pow.f64 y 3) (fma.f64 -1/6 (.f64 x x) 1))))))
(+.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (+.f64 (.f64 1/120 (pow.f64 y 5)) (.f64 1/6 (pow.f64 y 3)))) (.f64 (fma.f64 -1/6 (.f64 x x) 1) (+.f64 y (*.f64 1/5040 (pow.f64 y 7)))))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 1/2 (.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(.f64 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 1/2 (fma.f64 -1/6 (*.f64 x x) 1)))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(*.f64 -1/6 (pow.f64 x 2))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(+.f64 (sinh.f64 y) (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y)))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(+.f64 (sinh.f64 y) (.f64 1 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y))))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(+.f64 (sinh.f64 y) (.f64 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y)) 1))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(+.f64 (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y)) (sinh.f64 y))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(+.f64 (.f64 1 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y))) (sinh.f64 y))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(+.f64 (.f64 (.f64 (.f64 -1/6 (.f64 x x)) (sinh.f64 y)) 1) (sinh.f64 y))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) (-.f64 1 (.f64 (.f64 -1/6 (*.f64 x x)) (sinh.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (sinh.f64 y))) (-.f64 1 (.f64 (sinh.f64 y) (.f64 -1/6 (*.f64 x x)))))
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(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 1/36 1/6))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 (fma.f64 (pow.f64 x 6) -1/216 1) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) 1/36 1/6)) 1)))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (.f64 (sinh.f64 y) 2)) 1) (+.f64 2 (.f64 2 (.f64 (*.f64 x x) 1/6))))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/6))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (.f64 x 1/6) 1)))
(.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (/.f64 (sinh.f64 y) (fma.f64 x (.f64 x 1/6) 1)))
(/.f64 (.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (.f64 (sinh.f64 y) 2)) 1) (+.f64 2 (.f64 2 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 1/36 1/6))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 (fma.f64 (pow.f64 x 6) -1/216 1) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) 1/36 1/6)) 1)))
(/.f64 (.f64 (sqrt.f64 (.f64 (sinh.f64 y) 2)) (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 2))
(/.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sqrt.f64 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 2 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (/.f64 (sqrt.f64 2) (.f64 (fma.f64 -1/6 (*.f64 x x) 1) (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (.f64 2 (sinh.f64 y))) (/.f64 (/.f64 (sqrt.f64 2) (fma.f64 -1/6 (.f64 x x) 1)) (sqrt.f64 (sinh.f64 y))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/36 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (*.f64 x x) 3) -1/216)))))
(.f64 (/.f64 (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6)))) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) 1/36 1/6)) 1))) (sqrt.f64 (fma.f64 (pow.f64 x 6) -1/216 1)))
(.f64 (/.f64 (hypot.f64 1 (.f64 x (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 (.f64 x x) 1/36 1/6)) 1)) (sinh.f64 y))) (sqrt.f64 (fma.f64 (pow.f64 x 6) -1/216 1)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))
(/.f64 (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 x (.f64 x 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 x 4) -1/36)))))
(.f64 (/.f64 (.f64 (sinh.f64 y) (hypot.f64 1 (.f64 x (sqrt.f64 -1/6)))) (sqrt.f64 (fma.f64 x (.f64 x 1/6) 1))) (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/36 1)))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 x 4) -1/36 1)) (/.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/6) 1)) (sinh.f64 y))) (hypot.f64 1 (*.f64 x (sqrt.f64 -1/6))))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) 1) (+.f64 1 (.f64 (.f64 x x) 1/6)))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/6))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (.f64 x 1/6) 1)))
(.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (/.f64 (sinh.f64 y) (fma.f64 x (.f64 x 1/6) 1)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/6))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (.f64 x 1/6) 1)))
(.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (/.f64 (sinh.f64 y) (fma.f64 x (.f64 x 1/6) 1)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 x 4) -1/36))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) 1/6))))) (cbrt.f64 (+.f64 1 (.f64 (*.f64 x x) 1/6))))
(/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/36)) (/.f64 (+.f64 1 (.f64 x (*.f64 x 1/6))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (fma.f64 x (.f64 x 1/6) 1)))
(.f64 (fma.f64 (pow.f64 x 4) -1/36 1) (/.f64 (sinh.f64 y) (fma.f64 x (.f64 x 1/6) 1)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) 1) (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 1/36 1/6))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 (fma.f64 (pow.f64 x 6) -1/216 1) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) 1/36 1/6)) 1)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6))))) (sqrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (*.f64 x x) 1/36) 1/6)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 1/36 1/6))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 (fma.f64 (pow.f64 x 6) -1/216 1) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) 1/36 1/6)) 1)))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216))) (.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) 1/6)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 x x) 3) -1/216)) (/.f64 (+.f64 1 (.f64 (.f64 x x) (fma.f64 (*.f64 x x) 1/36 1/6))) (sinh.f64 y)))
(.f64 (sinh.f64 y) (/.f64 (fma.f64 (pow.f64 x 6) -1/216 1) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) 1/36 1/6)) 1)))
(pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 1)
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(pow.f64 (sqrt.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))) 2)
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))) 3)
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(pow.f64 (pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 3) 1/3)
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 2))
(sqrt.f64 (pow.f64 (.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1)) 2))
(fabs.f64 (.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1)))
(log.f64 (pow.f64 (exp.f64 (sinh.f64 y)) (fma.f64 -1/6 (*.f64 x x) 1)))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)))))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y)) 3))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(cbrt.f64 (.f64 (pow.f64 (sinh.f64 y) 3) (pow.f64 (fma.f64 -1/6 (.f64 x x) 1) 3)))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(exp.f64 (log.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/6 (.f64 x x) 1) (sinh.f64 y))))
(.f64 (sinh.f64 y) (fma.f64 -1/6 (.f64 x x) 1))
(+.f64 1 (-.f64 (.f64 -1/6 (.f64 x x)) 1))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(+.f64 (.f64 -1/6 (.f64 x x)) 0)
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(-.f64 (fma.f64 -1/6 (*.f64 x x) 1) 1)
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))) -2)
(+.f64 -2 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 x x) 1))))
(-.f64 (/.f64 1 (+.f64 1 (.f64 (.f64 x x) 1/6))) (+.f64 (/.f64 (.f64 (pow.f64 x 4) 1/36) (+.f64 1 (.f64 (*.f64 x x) 1/6))) 1))
(-.f64 (/.f64 1 (+.f64 1 (.f64 x (.f64 x 1/6)))) (+.f64 1 (/.f64 (.f64 (pow.f64 x 4) 1/36) (+.f64 1 (.f64 x (*.f64 x 1/6))))))
(+.f64 (-.f64 (/.f64 1 (fma.f64 x (.f64 x 1/6) 1)) (/.f64 (.f64 (pow.f64 x 4) 1/36) (fma.f64 x (*.f64 x 1/6) 1))) -1)
(+.f64 (/.f64 1 (fma.f64 x (.f64 x 1/6) 1)) (-.f64 -1 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/6) 1)) 1/36)))
(pow.f64 (.f64 -1/6 (.f64 x x)) 1)
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(pow.f64 (*.f64 x (sqrt.f64 -1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 -1/6 (.f64 x x))) 3)
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(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 -1/6) (*.f64 x x)))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (.f64 x x)))))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(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 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(exp.f64 (log.f64 (.f64 -1/6 (.f64 x x))))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))
(log1p.f64 (expm1.f64 (.f64 -1/6 (.f64 x x))))
(.f64 -1/6 (.f64 x x))
(.f64 x (.f64 x -1/6))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 28 to 14 computations (50% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`associate-/l*`
1398×	`associate-*l/`
1086×	`*-commutative`
544×	`associate-/r/`
342×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	227	32
2	2985	32

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 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 (neg.f64 (sin.f64 x)) (*.f64 (/.f64 1 (neg.f64 x)) (sinh.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) 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simplify102.0ms (1%)

Algorithm

1×	egg-herbie

Rules

712×	`distribute-rgt-in`
704×	`distribute-lft-in`
488×	`*-commutative`
486×	`distribute-lft-neg-in`
482×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	414	6314
1	1123	4946
2	4159	4858

Stop Event

1×	node limit

Counts

196 → 235

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 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 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 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))) 1)
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(.f64 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 (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 (sin.f64 x)) (.f64 (sqrt.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 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)))
(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
(.f64 (neg.f64 (sin.f64 x)) (.f64 (/.f64 1 (neg.f64 x)) (sinh.f64 y)))
(.f64 (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 (sinh.f64 y) x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (/.f64 (sin.f64 x) 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 1 (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(.f64 (/.f64 1 x) (.f64 (sin.f64 x) (sinh.f64 y)))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 x (sinh.f64 y)))) (/.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) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(.f64 (.f64 (/.f64 1 (neg.f64 x)) (sinh.f64 y)) (neg.f64 (sin.f64 x)))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (sinh.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sinh.f64 y)) (sqrt.f64 (sin.f64 x)))
(.f64 (.f64 (/.f64 (sqrt.f64 (sin.f64 x)) x) (sinh.f64 y)) (/.f64 (sqrt.f64 (sin.f64 x)) 1))
(*.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 (/.f64 (cbrt.f64 (sin.f64 x)) x) (sinh.f64 y)))
(.f64 (.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (sinh.f64 y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (sinh.f64 y))) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (/.f64 1 (sinh.f64 y))))
(*.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 (sin.f64 x) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) 1) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) x) (pow.f64 (sinh.f64 y) -1/2)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (sin.f64 x) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 x)) (sqrt.f64 (sinh.f64 y)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (sinh.f64 y))
(.f64 (/.f64 (sin.f64 x) (cbrt.f64 (.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 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) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) 1) (/.f64 (sinh.f64 y) x))
(*.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) (neg.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) 1) x) (sinh.f64 y))
(*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (sqrt.f64 x)) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(.f64 (/.f64 (/.f64 (sin.f64 x) 1) (cbrt.f64 (.f64 x x))) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(*.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) (neg.f64 x)) (neg.f64 (sinh.f64 y)))
(*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 x)) (cbrt.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 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y)))
(neg.f64 (/.f64 (neg.f64 (sin.f64 x)) (/.f64 x (sinh.f64 y))))
(neg.f64 (.f64 (.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y)) 1))
(neg.f64 (.f64 (sin.f64 x) (.f64 (/.f64 1 (neg.f64 x)) (sinh.f64 y))))
(neg.f64 (.f64 1 (.f64 (/.f64 (sin.f64 x) (neg.f64 x)) (sinh.f64 y))))
(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 (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))
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(/.f64 1 (/.f64 (sinh.f64 y) x))
(/.f64 1 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))))
(/.f64 (/.f64 1 (sinh.f64 y)) (/.f64 1 x))
(/.f64 (/.f64 x (sinh.f64 y)) 1)
(/.f64 (pow.f64 (sinh.f64 y) -1/2) (/.f64 1 (/.f64 x (sqrt.f64 (sinh.f64 y)))))
(/.f64 (sqrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 1 (sqrt.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (sqrt.f64 x) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (*.f64 1 (/.f64 (sinh.f64 y) (sqrt.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) -2)) (/.f64 1 (/.f64 x (cbrt.f64 (sinh.f64 y)))))
(/.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2) (/.f64 1 (cbrt.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (cbrt.f64 x) (/.f64 (sinh.f64 y) (cbrt.f64 (*.f64 x x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (.f64 x x)) (.f64 1 (/.f64 (sinh.f64 y) (cbrt.f64 x))))
(/.f64 -1 (/.f64 (neg.f64 (sinh.f64 y)) x))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(/.f64 (sqrt.f64 (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (cbrt.f64 (.f64 x x))) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x x)))))
(/.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (.f64 x x)))))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (sinh.f64 y) -2))) (/.f64 1 (/.f64 1 (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sinh.f64 y)) (/.f64 1 (cbrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (sinh.f64 y)) (/.f64 1 (sqrt.f64 x)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (/.f64 x (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 x 1) (sinh.f64 y))
(/.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (cbrt.f64 (sinh.f64 y)))
(/.f64 (/.f64 x (*.f64 (sinh.f64 y) 2)) 1/2)
(/.f64 (neg.f64 x) (neg.f64 (sinh.f64 y)))
(/.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sinh.f64 y) (sqrt.f64 x)))
(/.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (sinh.f64 y) (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (sinh.f64 y))) (/.f64 1 (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) (/.f64 1 (cbrt.f64 (/.f64 x (sinh.f64 y)))))
(/.f64 (+.f64 x x) (*.f64 (sinh.f64 y) 2))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) x) (cbrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 x 1) 1) (sinh.f64 y))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 (sinh.f64 y))) 1) (sqrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)) 1) (cbrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 1 (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 x (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (neg.f64 (sinh.f64 y))))
(/.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (sinh.f64 y))) 2)) (cbrt.f64 (sinh.f64 y)))
(/.f64 (*.f64 1 (/.f64 x (cbrt.f64 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (sinh.f64 y))) 1)
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y)))) (sqrt.f64 (sinh.f64 y)))
(/.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (/.f64 x (sinh.f64 y)))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 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)
(neg.f64 (/.f64 (neg.f64 x) (sinh.f64 y)))
(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 (/.f64 1 (sinh.f64 y)) 3) (pow.f64 x 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 (.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 (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 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 (sin.f64 x) (/.f64 y x))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (/.f64 (*.f64 y (sin.f64 x)) x))
(fma.f64 1/6 (/.f64 (pow.f64 y 3) (/.f64 x (sin.f64 x))) (/.f64 y (/.f64 x (sin.f64 x))))
(fma.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (.f64 (sin.f64 x) (/.f64 y x)))
(+.f64 (.f64 1/6 (/.f64 (.f64 (pow.f64 y 3) (sin.f64 x)) x)) (+.f64 (.f64 1/120 (/.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 (pow.f64 y 3) x)) (fma.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (*.f64 (sin.f64 x) (/.f64 y x))))
(+.f64 (.f64 1/6 (/.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 (pow.f64 y 3) x)) (fma.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/5040 (/.f64 (sin.f64 x) (/.f64 x (pow.f64 y 7))) (*.f64 (sin.f64 x) (/.f64 y x)))))
(fma.f64 1/6 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 3) x)) (fma.f64 1/120 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 5) x)) (fma.f64 1/5040 (.f64 (sin.f64 x) (/.f64 (pow.f64 y 7) x)) (.f64 (sin.f64 x) (/.f64 y x)))))
(.f64 1/2 (/.f64 (.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x))
(.f64 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 x y)
(+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y))
(fma.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)))
(fma.f64 -1/6 (.f64 y x) (fma.f64 -1 (.f64 (pow.f64 y 3) (*.f64 x -7/360)) (/.f64 x y)))
(fma.f64 -1/6 (.f64 y x) (-.f64 (/.f64 x y) (.f64 (pow.f64 y 3) (*.f64 x -7/360))))
(+.f64 (/.f64 x y) (.f64 x (-.f64 (.f64 y -1/6) (*.f64 -7/360 (pow.f64 y 3)))))
(+.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))))
(fma.f64 -1/6 (.f64 y x) (fma.f64 -1 (.f64 (pow.f64 y 3) (.f64 x -7/360)) (fma.f64 -1 (.f64 (pow.f64 y 5) (fma.f64 -1/720 x (fma.f64 -1/6 (.f64 x -7/360) (.f64 x 1/5040)))) (/.f64 x y))))
(fma.f64 -1/6 (.f64 y x) (-.f64 (-.f64 (/.f64 x y) (.f64 (pow.f64 y 5) (fma.f64 x -1/720 (fma.f64 x 1/5040 (.f64 x 7/2160))))) (.f64 (pow.f64 y 3) (*.f64 x -7/360))))
(+.f64 (-.f64 (/.f64 x y) (.f64 (pow.f64 y 5) (fma.f64 x -1/720 (.f64 x 13/3780)))) (.f64 x (-.f64 (.f64 y -1/6) (*.f64 -7/360 (pow.f64 y 3)))))
(*.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))
(*.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))
(*.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))
(*.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)))))
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(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))

eval187.0ms (1.9%)

Compiler: Compiled 12899 to 5639 computations (56.3% saved)

prune239.0ms (2.4%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	767	9	776
Fresh	1	3	4
Picked	1	0	1
Done	3	4	7
Total	772	16	788

Error

Counts

788 → 16

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.68%	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)
	4.05%	(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (sin.f64 x) x))) 3)
▶	2.86%	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
✓	0.13%	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
✓	46.52%	(/.f64 (sinh.f64 y) 1)
✓	1.01%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	3.44%	(/.f64 (sin.f64 x) (/.f64 x y))
	2.98%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
	24.79%	(/.f64 y (fma.f64 1/6 (*.f64 x x) 1))
▶	2.69%	(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
▶	48.96%	(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
▶	2.55%	(*.f64 (/.f64 (sin.f64 x) x) y)
	2.7%	(*.f64 (/.f64 y x) (sin.f64 x))
	29.35%	(*.f64 (/.f64 1 x) (/.f64 y (/.f64 1 (sin.f64 x))))
✓	47.88%	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
	47.47%	y

Compiler

Compiled 267 to 184 computations (31.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.02%	(/.f64 (sinh.f64 y) x)
	0.28%	(*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))
✓	0.92%	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)
✓	22.61%	(cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series18.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)
3.0ms	y	@	-inf	(cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
2.0ms	x	@	0	(cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
2.0ms	y	@	inf	(cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1164×	`associate-*r/`
1076×	`*-commutative`
876×	`associate-*l/`
862×	`associate-/r*`
666×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	46
1	254	46
2	3001	46

Stop Event

1×	node limit

Counts

2 → 194

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)

Outputs

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

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1546×	`distribute-lft-in`
956×	`associate-/l*`
596×	`associate-r`
594×	`*-commutative`
566×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	552	9400
1	1395	9310
2	5523	9310

Stop Event

1×	node limit

Counts

218 → 286

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2)))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (pow.f64 x 4)) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 -1/10080 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/9 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (.f64 -1/46656 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 (cbrt.f64 1/2) 6))))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (pow.f64 x 4)) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(+.f64 (.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 2)) (.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/1296 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2)) (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3)) (.f64 1/324 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 2)) (.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/1296 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2)) (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3)) (.f64 1/324 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (.f64 (+.f64 (.f64 -1/54 (.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (pow.f64 (cbrt.f64 1/2) 4)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (-.f64 (.f64 -1/10080 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/9 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (.f64 -1/46656 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 (cbrt.f64 1/2) 6))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2))) (+.f64 (.f64 -1/27 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (+.f64 (.f64 1/1296 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (cbrt.f64 1/2))))) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/10080 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/9 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (.f64 -1/46656 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 (cbrt.f64 1/2) 6)))))))))) (pow.f64 x 6)) (.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))) 1)
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 1)
(.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) (pow.f64 1 1/3))
(.f64 1 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))
(.f64 (pow.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1/6) (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 1/6))
(*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 (sinh.f64 y) x)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))))
(*.f64 (cbrt.f64 (/.f64 (sinh.f64 y) x)) (cbrt.f64 (sin.f64 x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))) 1/3))
(/.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (/.f64 x (sinh.f64 y))))
(/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 x))
(/.f64 (.f64 1 (cbrt.f64 (.f64 (sinh.f64 y) (sin.f64 x)))) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (sinh.f64 y))) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cbrt.f64 (neg.f64 (sinh.f64 y)))) (cbrt.f64 (neg.f64 x)))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (sinh.f64 y) (sin.f64 x)))) (cbrt.f64 x))
(/.f64 (.f64 (cbrt.f64 (.f64 (sinh.f64 y) (sin.f64 x))) 1) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (sinh.f64 y)) (cbrt.f64 (sin.f64 x))) (cbrt.f64 x))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sinh.f64 y))) (cbrt.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (.f64 (sinh.f64 y) (sin.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (sinh.f64 y) (sin.f64 x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
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(/.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 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (*.f64 x x)) (sin.f64 x))) 1) (cbrt.f64 x))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (*.f64 x x)) (sin.f64 x))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (.f64 x x)) (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 (cbrt.f64 (*.f64 x x)) (sin.f64 x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (.f64 x x)) (sin.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(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))))
(sqrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 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))))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (cbrt.f64 1/2))
(.f64 (pow.f64 (/.f64 (.f64 1 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) x) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sin.f64 x) x) (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (cbrt.f64 1/2))
(.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (*.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2)))
(fma.f64 -1/36 (.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 1/2) 2))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (/.f64 (*.f64 x x) (pow.f64 (cbrt.f64 1/2) 2)) -1/36)))
(+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (pow.f64 x 4)) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2))))
(fma.f64 -1/36 (.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2160) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 4)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(fma.f64 -1/36 (.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))) (.f64 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2160) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 x 4))) (.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 -1/10080 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (+.f64 (.f64 -1/9 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (.f64 -1/46656 (/.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) (pow.f64 (cbrt.f64 1/2) 6))))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/36 (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) 1/3) (/.f64 (.f64 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (pow.f64 x 4)) (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (cbrt.f64 1/2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))) (/.f64 (-.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/10080) (fma.f64 -1/9 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2160) (.f64 -1/46656 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (pow.f64 (cbrt.f64 1/2) 6))))) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 6)))) (fma.f64 -1/36 (.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2160) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 x 4)))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))
(fma.f64 1/3 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))) (.f64 (-.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/10080) (fma.f64 -1/46656 (/.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/4) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/19440))) (pow.f64 x 6))) (pow.f64 (cbrt.f64 1/2) 2)) (fma.f64 -1/36 (.f64 (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (/.f64 (.f64 x x) (pow.f64 (cbrt.f64 1/2) 2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2))) (.f64 (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2160) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 x 4))) (.f64 (cbrt.f64 1/2) (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (/.f64 (*.f64 (sin.f64 x) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) x)))
(*.f64 1/2 (/.f64 (sin.f64 x) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))))
(/.f64 (*.f64 (sin.f64 x) 1/2) (/.f64 x (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))))
(.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))
(*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)
(+.f64 (.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 2)) (.f64 1/2 (*.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))
(fma.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12) (.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2))
(fma.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) (.f64 -1/12 (*.f64 x x))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/1296 (.f64 (pow.f64 (.f64 1 (pow.f64 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3) (/.f64 (-.f64 (.f64 1/240 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) (.f64 1/216 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (cbrt.f64 1/2))))) (cbrt.f64 1/2)) (pow.f64 (.f64 1 (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))) 1/3)) (.f64 1/324 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 -1/36 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y))))) (.f64 -1/18 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))) (pow.f64 x 2)) (.f64 1/2 (.f64 (pow.f64 1 1/3) (-.f64 (exp.f64 y) (/.f64 1 (exp.f64 y)))))))
(fma.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2160)) (fma.f64 (.f64 (cbrt.f64 1/2) (fma.f64 1/1296 (.f64 (cbrt.f64 (pow.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 2)) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (.f64 2/3 (.f64 (cbrt.f64 (/.f64 1 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))))) (/.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/2160) (cbrt.f64 1/2)))))) (cbrt.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y)))) (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/324))) (pow.f64 x 4) (fma.f64 (.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) -1/12) (.f64 x x) (*.f64 (-.f64 (exp.f64 y) (exp.f64 (neg.f64 y))) 1/2)))
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(/.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 (/.f64 (sin.f64 x) (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 (cbrt.f64 (*.f64 x x)) 1)) (/.f64 (cbrt.f64 x) (sinh.f64 y)))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (sinh.f64 y)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (sinh.f64 y))))
(.f64 (/.f64 (.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (sqrt.f64 (sinh.f64 y))) (cbrt.f64 x)) (sqrt.f64 (sinh.f64 y)))
(.f64 (sqrt.f64 (sinh.f64 y)) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (sinh.f64 y))))))
(/.f64 (/.f64 (sin.f64 x) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))) (/.f64 (cbrt.f64 x) (cbrt.f64 (sinh.f64 y))))
(/.f64 (sin.f64 x) (.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (sinh.f64 y))) (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2))))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 (*.f64 x x))) (/.f64 (/.f64 (cbrt.f64 x) (cbrt.f64 (sinh.f64 y))) (pow.f64 (cbrt.f64 (sinh.f64 y)) 2)))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) 1) (neg.f64 x))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (cbrt.f64 (.f64 x x))) (neg.f64 (cbrt.f64 x)))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x 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 (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 (sinh.f64 y) x))
(/.f64 (/.f64 (*.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) -1) x)
(*.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 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (.f64 (sinh.f64 y) (neg.f64 (sin.f64 x))) (neg.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) 1) (sqrt.f64 x))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (sin.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 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.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 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 (sinh.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (sin.f64 x))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (sqrt.f64 x) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 x x)))) (sqrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (sqrt.f64 x)) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x)))))
(/.f64 (sinh.f64 y) (.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x x)))) (/.f64 (sqrt.f64 x) (sin.f64 x))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (*.f64 x x)) (sin.f64 x))) 1) (cbrt.f64 x))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (*.f64 x x)) (sin.f64 x))) (sqrt.f64 (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 x)))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (.f64 x x)) (sin.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 x x))) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(.f64 (sinh.f64 y) (/.f64 (sin.f64 x) (.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (*.f64 x x)) (sin.f64 x))) (cbrt.f64 (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (.f64 x x)) (sin.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 (sin.f64 x) (cbrt.f64 (sqrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (.f64 x x)) (sin.f64 x))) (cbrt.f64 (cbrt.f64 (.f64 x x)))) (cbrt.f64 (cbrt.f64 x)))
(/.f64 (/.f64 (sinh.f64 y) (/.f64 (cbrt.f64 (.f64 x x)) (sin.f64 x))) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(.f64 (/.f64 (sin.f64 x) (cbrt.f64 (cbrt.f64 x))) (/.f64 (/.f64 (sinh.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 (cbrt.f64 (*.f64 x x)))))
(neg.f64 (*.f64 (/.f64 (sinh.f64 y) (neg.f64 x)) (sin.f64 x)))
(*.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 (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 (sinh.f64 y) x)) 2))
(fabs.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sinh.f64 y) x)) (sin.f64 x)))
(*.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 (sinh.f64 y) x))
(cbrt.f64 (pow.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x)) 3))
(*.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 (sinh.f64 y) x))
(expm1.f64 (log1p.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))
(*.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 (sinh.f64 y) x))
(log1p.f64 (expm1.f64 (*.f64 (sinh.f64 y) (/.f64 (sin.f64 x) x))))
(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) x))

localize31.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.51%	(*.f64 -1/6 y)
✓	11.09%	(.f64 (.f64 -1/6 y) (*.f64 x x))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite56.0ms (0.6%)

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 (0.5%)

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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.06%	(*.f64 (/.f64 (sin.f64 x) x) y)
	0.16%	(/.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	@	inf	(*.f64 (/.f64 (sin.f64 x) x) y)
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)

rewrite116.0ms (1.2%)

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)))))))

simplify58.0ms (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))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.12%	(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
	0.2%	(/.f64 1 (sin.f64 x))
✓	0.32%	(*.f64 (/.f64 1 (sin.f64 x)) x)

Compiler

Compiled 25 to 13 computations (48% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite78.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`associate-/l*`
1462×	`associate-*r/`
996×	`associate-*l/`
974×	`*-commutative`
444×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	203	28
2	2646	28

Stop Event

1×	node limit

Counts

2 → 151

Calls

Call 1

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

Outputs

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

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

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1186×	`unswap-sqr`
498×	`associate-/l*`
438×	`distribute-rgt-in`
430×	`distribute-lft-in`
412×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	3437
1	946	3377
2	3447	3373

Stop Event

1×	node limit

Counts

187 → 202

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2%	(/.f64 1 (sin.f64 x))
✓	0.43%	(/.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	x	@	0	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
0.0ms	y	@	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	x	@	inf	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
0.0ms	x	@	-inf	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))

rewrite71.0ms (0.7%)

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

simplify92.0ms (0.9%)

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))

eval259.0ms (2.6%)

Compiler: Compiled 19232 to 7816 computations (59.4% saved)

prune363.0ms (3.6%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	1139	7	1146
Fresh	3	4	7
Picked	0	1	1
Done	0	8	8
Total	1142	20	1162

Error

Counts

1162 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	30.12%	(pow.f64 (cbrt.f64 (/.f64 (*.f64 y (sin.f64 x)) x)) 3)
✓	1.68%	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)
✓	2.86%	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
▶	26.98%	(/.f64 (/.f64 y x) (/.f64 1 x))
	25.05%	(/.f64 (/.f64 y x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
✓	0.13%	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
✓	46.52%	(/.f64 (sinh.f64 y) 1)
✓	1.01%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	3.44%	(/.f64 (sin.f64 x) (/.f64 x y))
	2.98%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
✓	2.69%	(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
▶	24.89%	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
▶	48.74%	(+.f64 y (-.f64 (+.f64 1 (.f64 x (.f64 -1/6 (*.f64 y x)))) 1))
✓	48.96%	(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
	48.96%	(+.f64 y (.f64 -1/6 (.f64 (*.f64 x x) y)))
✓	2.55%	(*.f64 (/.f64 (sin.f64 x) x) y)
▶	2.7%	(*.f64 (/.f64 y x) (sin.f64 x))
▶	29.37%	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
✓	47.88%	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
	47.47%	y

Compiler

Compiled 314 to 215 computations (31.5% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.25%	(*.f64 (/.f64 y x) (sin.f64 x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.5%)

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))))))))

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 41

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	21.81%	(/.f64 (/.f64 y x) (/.f64 1 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 y x) (/.f64 1 x))
0.0ms	y	@	inf	(/.f64 (/.f64 y x) (/.f64 1 x))
0.0ms	y	@	0	(/.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))

rewrite56.0ms (0.6%)

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))))))

simplify53.0ms (0.5%)

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 1/6 x) (/.f64 1 x))
✓	0.04%	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
✓	0.2%	(.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x)
✓	0.54%	(*.f64 1/6 x)

Compiler

Compiled 39 to 26 computations (33.3% saved)

series11.0ms (0.1%)

Counts

4 → 27

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
1.0ms	y	@	inf	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
0.0ms	y	@	-inf	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))
0.0ms	x	@	-inf	(.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x)
0.0ms	x	@	inf	(/.f64 y (.f64 (+.f64 (.f64 1/6 x) (/.f64 1 x)) x))

rewrite111.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1410×	`associate-/l*`
794×	`swap-sqr`
636×	`distribute-rgt-in`
606×	`distribute-lft-in`
528×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	70
1	239	70
2	3243	70

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/6 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/6 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/36 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/6 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/6 x) x) (.f64 (/.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 1/6 x)) (.f64 x (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (/.f64 1 x)) (.f64 x (.f64 1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 1 x) x) (.f64 (.f64 1/6 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (.f64 1/6 x) x)) (.f64 1 (.f64 (/.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 (/.f64 1 x) x)) (.f64 1 (.f64 (.f64 1/6 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 x (.f64 1/6 x))) (.f64 1 (.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (.f64 x (/.f64 1 x))) (.f64 1 (.f64 x (.f64 1/6 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 1/6 x) x) 1) (.f64 (.f64 (/.f64 1 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (/.f64 1 x) x) 1) (.f64 (.f64 (.f64 1/6 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 1/6 x)) 1) (.f64 (.f64 x (/.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (/.f64 1 x)) 1) (.f64 (.f64 x (.f64 1/6 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/6 x (/.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1 (.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (sqrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 1 (.f64 (sqrt.f64 x) (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (/.f64 1 (.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (.f64 (cbrt.f64 x) (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)) (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 1/6 x (/.f64 1 x)) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 1/6 x (/.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (fma.f64 1/6 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) x) (fma.f64 1/6 x (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)) x) (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 x (+.f64 (.f64 x -1/6) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 y (.f64 x (fma.f64 1/6 x (/.f64 1 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 y (.f64 x (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (/.f64 y (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 y (/.f64 1 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 y (.f64 x (fma.f64 1/6 x (/.f64 1 x))))) (sqrt.f64 (/.f64 y (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 y (.f64 x (fma.f64 1/6 x (/.f64 1 x))))) (pow.f64 (cbrt.f64 (/.f64 y (.f64 x (fma.f64 1/6 x (/.f64 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 x (fma.f64 1/6 x (/.f64 1 x))))) 2) (cbrt.f64 (/.f64 y (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 y (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) y)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 y) (/.f64 1 (.f64 x (+.f64 (.f64 x -1/6) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))) (/.f64 y (sqrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2)) (/.f64 y (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 y (fma.f64 1/6 x (/.f64 1 x))) (sqrt.f64 x)) (pow.f64 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 y (fma.f64 1/6 x (/.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 x (+.f64 (.f64 x -1/6) (/.f64 -1 x)))) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (.f64 x (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) (fma.f64 1/6 x (/.f64 1 x))) (/.f64 (sqrt.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (.f64 x (fma.f64 1/6 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (fma.f64 1/6 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> 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simplify153.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

812×	`associate-r`
762×	`associate-/r*`
704×	`+-commutative`
664×	`associate-l`
610×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	492	6852
1	1365	6508
2	7078	6504

Stop Event

1×	node limit

Counts

218 → 289

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(*.f64 1/6 (pow.f64 x 2))
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(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
y
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(.f64 (/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (-.f64 (.f64 1/36 (*.f64 x x)) (pow.f64 x -2))) (fma.f64 1/6 x (/.f64 1 x)))
(.f64 (/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (-.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3))) (+.f64 (.f64 1/36 (.f64 x x)) (+.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)) (-.f64 (.f64 (.f64 (pow.f64 x 3) x) 1/1296) (.f64 (pow.f64 x -2) (.f64 (+.f64 (/.f64 1 x) (.f64 x -1/6)) (+.f64 (/.f64 1 x) (.f64 x -1/6)))))) (-.f64 (.f64 1/36 (.f64 x x)) (-.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (.f64 1/36 (.f64 x x)) 3) (pow.f64 (-.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x))) 3))) (+.f64 (.f64 (.f64 (pow.f64 x 3) x) 1/1296) (.f64 (-.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x))) (-.f64 (-.f64 (pow.f64 x -2) (/.f64 1/6 (/.f64 x x))) (.f64 1/36 (*.f64 x x))))))
(/.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (fma.f64 1/6 x (/.f64 -1 x))))
(/.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(/.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (/.f64 1 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x)))
(/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (/.f64 1 (/.f64 1 (fma.f64 1/6 x (/.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 x -2) (.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))))))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (fma.f64 1/6 x (/.f64 1 x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (sqrt.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (cbrt.f64 (-.f64 (.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))))
(/.f64 (-.f64 (.f64 1/46656 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (pow.f64 x -3) (pow.f64 x -3))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (-.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/36 (.f64 x x))) (+.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) x) 1/1296) (.f64 (pow.f64 x -2) (pow.f64 x -2))) (.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/6 x) 3) 3) (pow.f64 (pow.f64 x -3) 3)) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (+.f64 (.f64 1/46656 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (pow.f64 (.f64 1/6 x) 3))))))
(/.f64 (-.f64 (pow.f64 (.f64 1/36 (.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (.f64 (.f64 (pow.f64 x 3) x) 1/1296) (.f64 (pow.f64 x -2) (+.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x))))))
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))))))
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 1 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/6 x))
(fma.f64 (sqrt.f64 (.f64 1/6 x)) (sqrt.f64 (.f64 1/6 x)) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 x)) 2) (cbrt.f64 (.f64 1/6 x)) (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x))

Outputs
1
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (*.f64 1/6 (pow.f64 x 2)) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 1 (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
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 x (.f64 x y)) y)
(+.f64 (.f64 1/36 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2)))))
(fma.f64 1/36 (.f64 y (pow.f64 x 4)) (+.f64 y (.f64 (.f64 -1/6 y) (.f64 x x))))
(fma.f64 1/36 (.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (.f64 x (*.f64 x y)) y))
(+.f64 (.f64 -1/216 (.f64 y (pow.f64 x 6))) (+.f64 (.f64 1/36 (.f64 y (pow.f64 x 4))) (+.f64 y (.f64 -1/6 (.f64 y (pow.f64 x 2))))))
(fma.f64 -1/216 (.f64 y (pow.f64 x 6)) (fma.f64 1/36 (.f64 y (pow.f64 x 4)) (+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))))
(fma.f64 -1/216 (.f64 y (pow.f64 x 6)) (fma.f64 1/36 (.f64 y (pow.f64 x 4)) (fma.f64 -1/6 (.f64 x (.f64 x y)) y)))
(*.f64 6 (/.f64 y (pow.f64 x 2)))
(/.f64 (.f64 6 y) (.f64 x x))
(*.f64 6 (/.f64 (/.f64 y x) x))
(+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (.f64 -36 (/.f64 y (pow.f64 x 4))))
(fma.f64 6 (/.f64 y (.f64 x x)) (.f64 -36 (/.f64 y (pow.f64 x 4))))
(fma.f64 6 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y -36) (pow.f64 x 4)))
(+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))
(fma.f64 6 (/.f64 y (.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (.f64 -36 (/.f64 y (pow.f64 x 4)))))
(fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4))))
(+.f64 (.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 216 (/.f64 y (pow.f64 x 6))) (.f64 -36 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 y (.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (.f64 -36 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4)))))
(*.f64 6 (/.f64 y (pow.f64 x 2)))
(/.f64 (.f64 6 y) (.f64 x x))
(*.f64 6 (/.f64 (/.f64 y x) x))
(+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (.f64 -36 (/.f64 y (pow.f64 x 4))))
(fma.f64 6 (/.f64 y (.f64 x x)) (.f64 -36 (/.f64 y (pow.f64 x 4))))
(fma.f64 6 (/.f64 (/.f64 y x) x) (/.f64 (*.f64 y -36) (pow.f64 x 4)))
(+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 216 (/.f64 y (pow.f64 x 6))) (*.f64 -36 (/.f64 y (pow.f64 x 4)))))
(fma.f64 6 (/.f64 y (.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (.f64 -36 (/.f64 y (pow.f64 x 4)))))
(fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4))))
(+.f64 (.f64 -1296 (/.f64 y (pow.f64 x 8))) (+.f64 (.f64 6 (/.f64 y (pow.f64 x 2))) (+.f64 (.f64 216 (/.f64 y (pow.f64 x 6))) (.f64 -36 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 y (.f64 x x)) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (.f64 -36 (/.f64 y (pow.f64 x 4))))))
(fma.f64 -1296 (/.f64 y (pow.f64 x 8)) (fma.f64 6 (/.f64 (/.f64 y x) x) (fma.f64 216 (/.f64 y (pow.f64 x 6)) (/.f64 (*.f64 y -36) (pow.f64 x 4)))))
(/.f64 1 x)
(*.f64 1/6 x)
(*.f64 1/6 x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 x))) 1)
(*.f64 1/6 x)
(pow.f64 (*.f64 1/6 x) 1)
(*.f64 1/6 x)
(pow.f64 (sqrt.f64 (*.f64 1/6 x)) 2)
(*.f64 1/6 x)
(pow.f64 (cbrt.f64 (*.f64 1/6 x)) 3)
(*.f64 1/6 x)
(pow.f64 (pow.f64 (*.f64 1/6 x) 3) 1/3)
(*.f64 1/6 x)
(sqrt.f64 (.f64 1/36 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) 1/36))
(sqrt.f64 (.f64 x (.f64 x 1/36)))
(log.f64 (pow.f64 (exp.f64 1/6) x))
(*.f64 1/6 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 x))))
(*.f64 1/6 x)
(cbrt.f64 (pow.f64 (*.f64 1/6 x) 3))
(*.f64 1/6 x)
(expm1.f64 (log1p.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(exp.f64 (log.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(exp.f64 (.f64 (log.f64 (.f64 1/6 x)) 1))
(*.f64 1/6 x)
(log1p.f64 (expm1.f64 (*.f64 1/6 x)))
(*.f64 1/6 x)
(+.f64 (.f64 (.f64 1/6 x) x) (*.f64 (/.f64 1 x) x))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 x (.f64 1/6 x)) (*.f64 x (/.f64 1 x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 x (/.f64 1 x)) (.f64 x (*.f64 1/6 x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 (/.f64 1 x) x) (.f64 (*.f64 1/6 x) x))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 1 (.f64 (.f64 1/6 x) x)) (.f64 1 (*.f64 (/.f64 1 x) x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 1 (.f64 (/.f64 1 x) x)) (.f64 1 (.f64 (*.f64 1/6 x) x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 1 (.f64 x (.f64 1/6 x))) (.f64 1 (*.f64 x (/.f64 1 x))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 1 (.f64 x (/.f64 1 x))) (.f64 1 (.f64 x (*.f64 1/6 x))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 (.f64 (.f64 1/6 x) x) 1) (.f64 (*.f64 (/.f64 1 x) x) 1))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 (.f64 (/.f64 1 x) x) 1) (.f64 (.f64 (*.f64 1/6 x) x) 1))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 (.f64 x (.f64 1/6 x)) 1) (.f64 (*.f64 x (/.f64 1 x)) 1))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(+.f64 (.f64 (.f64 x (/.f64 1 x)) 1) (.f64 (.f64 x (*.f64 1/6 x)) 1))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))))) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 x (/.f64 1 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 1 (/.f64 1 (*.f64 x (fma.f64 1/6 x (/.f64 1 x)))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (fma.f64 1/6 x (/.f64 1 x)) (/.f64 1 x))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (*.f64 x (fma.f64 1/6 x (/.f64 1 x))) 1)
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) (/.f64 1 (*.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (sqrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (sqrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (sqrt.f64 x) (/.f64 1 (*.f64 (sqrt.f64 x) (fma.f64 1/6 x (/.f64 1 x)))))
(.f64 (/.f64 (sqrt.f64 x) 1) (.f64 (fma.f64 1/6 x (/.f64 1 x)) (sqrt.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (fma.f64 1/6 x (/.f64 1 x)) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2) (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) x)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2)))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x)))) 2) (/.f64 1 (cbrt.f64 (.f64 x (fma.f64 1/6 x (/.f64 1 x))))))
(fma.f64 1/6 (*.f64 x x) 1)
(fma.f64 x (*.f64 1/6 x) 1)
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 (*.f64 (cbrt.f64 x) (fma.f64 1/6 x (/.f64 1 x)))))
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (+.f64 (pow.f64 x -2) (.f64 1/6 (.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))) (sqrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))))
(.f64 (hypot.f64 (pow.f64 x -3/2) (pow.f64 (.f64 1/6 x) 3/2)) (/.f64 (hypot.f64 (pow.f64 x -3/2) (pow.f64 (.f64 1/6 x) 3/2)) (fma.f64 1/6 (.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))))
(/.f64 (sqrt.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (sqrt.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)))))
(.f64 (/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) 1/36) (pow.f64 x -2))) (fma.f64 1/6 x (/.f64 -1 x))) (sqrt.f64 (-.f64 (.f64 (*.f64 x x) 1/36) (pow.f64 x -2))))
(.f64 (sqrt.f64 (-.f64 (.f64 x (.f64 x 1/36)) (pow.f64 x -2))) (/.f64 (sqrt.f64 (-.f64 (.f64 x (*.f64 x 1/36)) (pow.f64 x -2))) (fma.f64 1/6 x (/.f64 -1 x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3))) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)))) (/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))) (cbrt.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)))) (+.f64 (pow.f64 x -2) (.f64 1/6 (.f64 x (fma.f64 1/6 x (/.f64 -1 x)))))) (cbrt.f64 (+.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))))
(.f64 (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))) (/.f64 (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))) (/.f64 (fma.f64 1/6 (.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)) (cbrt.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3))))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (cbrt.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (cbrt.f64 (-.f64 (.f64 1/36 (*.f64 x x)) (pow.f64 x -2)))))
(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x x) 1/36) (pow.f64 x -2))) (cbrt.f64 (-.f64 (.f64 (.f64 x x) 1/36) (pow.f64 x -2)))) (fma.f64 1/6 x (/.f64 -1 x))) (cbrt.f64 (-.f64 (.f64 (.f64 x x) 1/36) (pow.f64 x -2))))
(.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/36)) (pow.f64 x -2))) (/.f64 (cbrt.f64 (-.f64 (.f64 x (.f64 x 1/36)) (pow.f64 x -2))) (/.f64 (fma.f64 1/6 x (/.f64 -1 x)) (cbrt.f64 (-.f64 (.f64 x (*.f64 x 1/36)) (pow.f64 x -2))))))
(/.f64 (-.f64 (.f64 1/46656 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (pow.f64 x -3) (pow.f64 x -3))) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (-.f64 (pow.f64 (*.f64 1/6 x) 3) (pow.f64 x -3))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) 1/46656) (pow.f64 x -6)) (.f64 (+.f64 (pow.f64 x -2) (.f64 1/6 (.f64 x (fma.f64 1/6 x (/.f64 -1 x))))) (-.f64 (*.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (.f64 1/6 x) 6) (pow.f64 x -6)) (fma.f64 1/6 (.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2))) (-.f64 (*.f64 (pow.f64 x 3) 1/216) (pow.f64 x -3)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 -1/36 (.f64 x x))) (+.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 x x) -1/36)) (+.f64 (/.f64 1 x) (*.f64 x -1/6)))
(/.f64 (fma.f64 (*.f64 x x) -1/36 (pow.f64 x -2)) (fma.f64 x -1/6 (/.f64 1 x)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) x) 1/1296) (.f64 (pow.f64 x -2) (pow.f64 x -2))) (.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/1296) (pow.f64 x -4)) (.f64 (fma.f64 1/6 x (/.f64 -1 x)) (fma.f64 1/36 (*.f64 x x) (pow.f64 x -2))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/1296) (pow.f64 x -4)) (.f64 (fma.f64 1/6 x (/.f64 -1 x)) (fma.f64 (*.f64 x x) 1/36 (pow.f64 x -2))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 1/6 x) 3) 3) (pow.f64 (pow.f64 x -3) 3)) (.f64 (+.f64 (pow.f64 x -2) (.f64 (.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))) (+.f64 (.f64 1/46656 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (pow.f64 (.f64 1/6 x) 3))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/216 (pow.f64 x 3)) 3) (pow.f64 (pow.f64 x -3) 3)) (.f64 (+.f64 (pow.f64 x -2) (.f64 1/6 (.f64 x (fma.f64 1/6 x (/.f64 -1 x))))) (fma.f64 1/46656 (pow.f64 x 6) (.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (.f64 1/216 (pow.f64 x 3)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) 1/216) 3) (pow.f64 (pow.f64 x -3) 3)) (.f64 (fma.f64 1/6 (.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)) (fma.f64 (pow.f64 x -3) (-.f64 (pow.f64 x -3) (.f64 (pow.f64 x 3) 1/216)) (pow.f64 (*.f64 1/6 x) 6))))
(/.f64 (-.f64 (pow.f64 (.f64 1/36 (.f64 x x)) 3) (pow.f64 (pow.f64 x -2) 3)) (.f64 (fma.f64 1/6 x (/.f64 -1 x)) (+.f64 (.f64 (.f64 (pow.f64 x 3) x) 1/1296) (.f64 (pow.f64 x -2) (+.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))))))
(/.f64 (/.f64 (-.f64 (.f64 1/46656 (pow.f64 (.f64 x x) 3)) (pow.f64 (pow.f64 x -2) 3)) (fma.f64 1/6 x (/.f64 -1 x))) (fma.f64 (pow.f64 x 4) 1/1296 (.f64 (pow.f64 x -2) (fma.f64 1/36 (.f64 x x) (pow.f64 x -2)))))
(/.f64 (-.f64 (pow.f64 (.f64 1/6 x) 6) (pow.f64 (pow.f64 x -2) 3)) (.f64 (fma.f64 1/6 x (/.f64 -1 x)) (fma.f64 (pow.f64 x -2) (fma.f64 (.f64 x x) 1/36 (pow.f64 x -2)) (.f64 (pow.f64 x 4) 1/1296))))
(/.f64 (neg.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2))) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/36) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x)))
(/.f64 (fma.f64 (.f64 x x) -1/36 (pow.f64 x -2)) (-.f64 (.f64 x -1/6) (/.f64 -1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x))))))
(/.f64 (.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (.f64 1/6 (.f64 x (fma.f64 1/6 x (/.f64 -1 x))))))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)))
(pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 1)
(fma.f64 1/6 x (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 2)
(fma.f64 1/6 x (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 1/6 x (/.f64 1 x))) 3)
(fma.f64 1/6 x (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3) 1/3)
(fma.f64 1/6 x (/.f64 1 x))
(neg.f64 (/.f64 (-.f64 (.f64 1/36 (.f64 x x)) (pow.f64 x -2)) (neg.f64 (fma.f64 1/6 x (/.f64 -1 x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) 1/36) (pow.f64 x -2)) (fma.f64 1/6 x (/.f64 -1 x)))
(/.f64 (fma.f64 (.f64 x x) -1/36 (pow.f64 x -2)) (-.f64 (.f64 x -1/6) (/.f64 -1 x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 1/6 x) 3) (pow.f64 x -3)) (neg.f64 (+.f64 (pow.f64 x -2) (.f64 (*.f64 1/6 x) (fma.f64 1/6 x (/.f64 -1 x)))))))
(/.f64 (.f64 (+.f64 (.f64 1/216 (pow.f64 x 3)) (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (.f64 1/6 (.f64 x (fma.f64 1/6 x (/.f64 -1 x))))))
(/.f64 (fma.f64 1/216 (pow.f64 x 3) (pow.f64 x -3)) (fma.f64 1/6 (*.f64 x (fma.f64 1/6 x (/.f64 -1 x))) (pow.f64 x -2)))
(sqrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 2))
(fabs.f64 (fma.f64 1/6 x (/.f64 1 x)))
(log.f64 (exp.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 x (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x)))))
(fma.f64 1/6 x (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 1/6 x (/.f64 1 x)) 3))
(fma.f64 1/6 x (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 x (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 x (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/6 x (/.f64 1 x))) 1))
(fma.f64 1/6 x (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 1/6 x (/.f64 1 x))))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 x 1/6 (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 1 (*.f64 1/6 x) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/6 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 1/6 x)) (sqrt.f64 (.f64 1/6 x)) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/6 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/6 x)) 2) (cbrt.f64 (.f64 1/6 x)) (/.f64 1 x))
(fma.f64 1/6 x (/.f64 1 x))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) (*.f64 1/6 x))

localize42.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.11%	(.f64 x (.f64 -1/6 (*.f64 y x)))
✓	0.45%	(.f64 -1/6 (.f64 y x))
✓	2.67%	(-.f64 (+.f64 1 (.f64 x (.f64 -1/6 (*.f64 y x)))) 1)

Compiler

Compiled 54 to 30 computations (44.4% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

18 calls:

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

rewrite138.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`*-commutative`
906×	`associate-*r/`
720×	`associate-*l/`
696×	`distribute-lft-in`
660×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	75
1	239	51
2	3170	51

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x (*.f64 x (*.f64 -1/6 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x (*.f64 -1/6 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x (*.f64 -1/6 y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x (*.f64 -1/6 y)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (*.f64 x (*.f64 -1/6 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x (*.f64 -1/6 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x (*.f64 -1/6 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (*.f64 x (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (*.f64 x (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x y) (*.f64 x -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 -1/6 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x (*.f64 -1/6 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 -1/6 y))) (*.f64 x (sqrt.f64 (*.f64 x (*.f64 -1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (*.f64 x (*.f64 -1/6 y)))) (sqrt.f64 (*.f64 x (*.f64 x (*.f64 -1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (*.f64 x (*.f64 -1/6 y)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 -1/6 y))) 2) (*.f64 x (cbrt.f64 (*.f64 x (*.f64 -1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 -1/6 y)))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 -1/6 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 -1/6 y)))) 2) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 -1/6 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x y)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x y)) 2) (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (*.f64 x (*.f64 -1/6 y)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x (*.f64 -1/6 y)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (*.f64 -1/6 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -1/6) (*.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1/6 y) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 -1/6 y)) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x (*.f64 x (*.f64 -1/6 y))) 2)))))) (#(struct:change 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simplify176.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1278×	`associate-/r/`
1226×	`associate-+l+`
1154×	`associate-+r+`
632×	`associate-r`
576×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	13848
1	845	13634
2	4413	13614

Stop Event

1×	node limit

Counts

250 → 194

Calls

Call 1

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

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.15%	(*.f64 (sin.f64 x) y)
✓	26.9%	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	197	28
2	2391	28

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1730×	`associate-+r+`
978×	`associate-*r/`
948×	`associate-/l*`
792×	`unswap-sqr`
772×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	1412
1	309	1400
2	1384	1394
3	7813	1394

Stop Event

1×	node limit

Counts

86 → 70

Calls

Call 1

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

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

eval311.0ms (3.1%)

Compiler: Compiled 13956 to 9182 computations (34.2% saved)

prune117.0ms (1.2%)

Pruning

24 alts after pruning (11 fresh and 13 done)

	Pruned	Kept	Total
New	634	5	639
Fresh	0	6	6
Picked	0	1	1
Done	1	12	13
Total	635	24	659

Error

Counts

659 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	30.12%	(pow.f64 (cbrt.f64 (/.f64 (*.f64 y (sin.f64 x)) x)) 3)
✓	1.68%	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sinh.f64 y) x) (sin.f64 x))) 3)
✓	2.86%	(/.f64 (/.f64 y x) (/.f64 1 (sin.f64 x)))
✓	26.98%	(/.f64 (/.f64 y x) (/.f64 1 x))
	25.05%	(/.f64 (/.f64 y x) (+.f64 (*.f64 1/6 x) (/.f64 1 x)))
✓	0.13%	(/.f64 (sinh.f64 y) (/.f64 x (sin.f64 x)))
✓	46.52%	(/.f64 (sinh.f64 y) 1)
✓	1.01%	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
	3.44%	(/.f64 (sin.f64 x) (/.f64 x y))
	2.98%	(/.f64 (sin.f64 x) (+.f64 (.f64 -1/6 (.f64 y x)) (/.f64 x y)))
✓	2.69%	(/.f64 y (*.f64 (/.f64 1 (sin.f64 x)) x))
	73.43%	(/.f64 y (.f64 (.f64 1/6 x) x))
	73.43%	(/.f64 y (.f64 1/6 (.f64 x x)))
✓	48.74%	(+.f64 y (-.f64 (+.f64 1 (.f64 x (.f64 -1/6 (*.f64 y x)))) 1))
✓	48.96%	(+.f64 y (.f64 (.f64 -1/6 y) (*.f64 x x)))
	48.96%	(+.f64 y (.f64 -1/6 (.f64 (*.f64 x x) y)))
✓	2.55%	(*.f64 (/.f64 (sin.f64 x) x) y)
✓	2.7%	(*.f64 (/.f64 y x) (sin.f64 x))
	26.85%	(*.f64 (/.f64 y x) x)
✓	29.37%	(.f64 (/.f64 1 x) (.f64 (sin.f64 x) y))
✓	47.88%	(.f64 (+.f64 1 (.f64 -1/6 (*.f64 x x))) (sinh.f64 y))
	73.1%	(*.f64 6 (/.f64 (/.f64 y x) x))
	70.03%	(sqrt.f64 (*.f64 y y))
	47.47%	y

Compiler

Compiled 229 to 156 computations (31.9% saved)

regimes118.0ms (1.2%)

Counts

35 → 1

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	x
17.0ms	y
17.0ms	(sinh.f64 y)
10.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

Results

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

Compiler

Compiled 295 to 135 computations (54.2% saved)

regimes136.0ms (1.4%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

3 calls:

107.0ms	y
12.0ms	x
11.0ms	(sinh.f64 y)

Results

Error	Segments	Branch
2.55%	1	`x`
2.55%	1	`y`
2.55%	1	`(sinh.f64 y)`

Compiler

Compiled 195 to 98 computations (49.7% saved)

regimes56.0ms (0.6%)

Counts

14 → 1

Calls

Call 1

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

37.0ms	(sinh.f64 y)
9.0ms	x
8.0ms	y

Results

Error	Segments	Branch
2.7%	1	`x`
2.7%	1	`y`
2.7%	1	`(sinh.f64 y)`

Compiler

Compiled 113 to 62 computations (45.1% saved)

regimes102.0ms (1%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

84.0ms	y
7.0ms	(sinh.f64 y)
7.0ms	x

Results

Error	Segments	Branch
24.89%	1	`x`
24.89%	1	`y`
24.89%	1	`(sinh.f64 y)`

Compiler

Compiled 107 to 60 computations (43.9% saved)

regimes87.0ms (0.9%)

Accuracy

Total -45.4b remaining (-264.2%)

Threshold costs -45.4b (-264.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

2 calls:

80.0ms	x
5.0ms	y

Results

Error	Segments	Branch
26.85%	1	`x`
26.85%	1	`y`

Compiler

Compiled 60 to 30 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
1	29	100

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 48 to 31 computations (35.4% saved)

soundness146.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 16 to 8 computations (50% saved)

end33.0ms (0.3%)

Compiler: Compiled 38 to 17 computations (55.3% saved)