Details

analyze68.0ms (1.1%)

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
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	7
70.3%	70.2%	29.7%	0.1%	0%	0%	0%	8
78.1%	78%	21.9%	0.1%	0%	0%	0%	9
83.2%	83.1%	16.8%	0.1%	0%	0%	0%	10
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	11
91.1%	91%	8.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.5s (25.2%)

Results

858.0ms	6084×	body	256	valid
464.0ms	1308×	body	1024	valid
212.0ms	862×	body	512	valid
3.0ms	2×	body	2048	valid

Bogosity

preprocess5.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

12×	`*-commutative`
8×	`associate-/l*`
4×	`associate-/r/`
4×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	17	34
2	23	34
3	29	34
4	31	34
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative`
4×	`associate-/l*`
2×	`associate-/r/`
2×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	11	17
2	14	17
3	18	17
4	19	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series6.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	x	@	0	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	y	@	-inf	(/.f64 (sin.f64 y) y)
0.0ms	x	@	inf	(*.f64 x (/.f64 (sin.f64 y) y))

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1738×	`add-sqr-sqrt`
1726×	`*-un-lft-identity`
1600×	`add-cube-cbrt`
1574×	`add-cbrt-cube`
170×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	163	28
2	2118	28

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-*r/`
1038×	`associate-*l/`
842×	`unswap-sqr`
768×	`associate-/l*`
720×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1330
1	372	1322
2	1479	1304

Stop Event

1×	node limit

Counts

82 → 84

Calls

Call 1

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

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

eval100.0ms (1.6%)

Compiler: Compiled 939 to 447 computations (52.4% saved)

prune19.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	74	10	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	11	85

Error

0.0b

Counts

85 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
▶	1.2b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
▶	6.9b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	8.7b	(*.f64 (sin.f64 y) (/.f64 x y))
▶	0.1b	(*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) -1))
	0.5b	(*.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	27.2b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	0.2b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
	26.8b	x

Compiler

Compiled 187 to 129 computations (31% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	169	28
2	2361	28

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

Outputs

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

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1616×	`associate-/l*`
1406×	`associate-/r*`
1124×	`unswap-sqr`
732×	`*-commutative`
408×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	207	1716
1	532	1712
2	2220	1712

Stop Event

1×	node limit

Counts

102 → 103

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/6 (.f64 y y))
✓	4.0b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))

Compiler

Compiled 30 to 16 computations (46.7% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite66.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

914×	`*-commutative`
742×	`unswap-sqr`
564×	`swap-sqr`
504×	`associate-*r/`
486×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	209	34
2	2634	34

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 -1/6 (*.f64 y y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (*.f64 y y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 y (*.f64 y 1/6)))) (+.f64 (/.f64 (*.f64 1/36 (pow.f64 y 4)) (+.f64 1 (*.f64 y (*.f64 y 1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/6 (*.f64 y y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/6 (*.f64 y y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/216 (pow.f64 y 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (*.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/216 (pow.f64 y 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -1/6 (*.f64 y y))))))))

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

858×	`associate-/l*`
818×	`fma-def`
754×	`*-commutative`
714×	`times-frac`
538×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	3565
1	577	3365
2	1884	3299
3	7038	3299

Stop Event

1×	node limit

Counts

107 → 118

Calls

Call 1

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

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

localize51.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	6.9b	(/.f64 (*.f64 (sin.f64 y) x) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 8

Calls

12 calls:

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

rewrite91.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1550×	`associate-*r/`
1342×	`associate-/l*`
916×	`associate-*l/`
762×	`unswap-sqr`
724×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1359
1	445	1305
2	1845	1299

Stop Event

1×	node limit

Counts

63 → 86

Calls

Call 1

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

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

localize25.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1998×	`add-sqr-sqrt`
1976×	`*-un-lft-identity`
1838×	`add-cube-cbrt`
1812×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	206	28
2	2529	28

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1546×	`associate-+l+`
1114×	`associate-*r/`
948×	`times-frac`
888×	`associate-*l/`
754×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	1386
1	393	1378
2	1288	1360
3	7162	1360

Stop Event

1×	node limit

Counts

92 → 85

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (/.f64 (sin.f64 y) y) x)
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
✓	7.5b	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series14.0ms (0.2%)

Counts

3 → 32

Calls

18 calls:

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

rewrite100.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`*-commutative`
924×	`associate-*r/`
822×	`associate-/r*`
806×	`unswap-sqr`
658×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	231	55
2	2675	55

Stop Event

1×	node limit

Counts

3 → 328

Calls

Call 1

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

Outputs

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

simplify153.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1696×	`distribute-lft-in`
1080×	`associate-/l*`
1014×	`associate-r`
896×	`associate-l`
710×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	12540
1	1534	11982
2	6403	11982

Stop Event

1×	node limit

Counts

360 → 329

Calls

Call 1

Inputs
(pow.f64 x 1/3)
(+.f64 (pow.f64 x 1/3) (.f64 -1/18 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/120 x) (.f64 1/108 x)) (pow.f64 y 4)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (.f64 -1/18 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/5040 x) (+.f64 (.f64 -1/9 (-.f64 (.f64 1/120 x) (.f64 1/108 x))) (.f64 -1/5832 x)))))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/120 x) (.f64 1/108 x)) (pow.f64 y 4)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (.f64 -1/18 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(*.f64 (pow.f64 1 1/3) x)
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/18 (.f64 (pow.f64 1 1/3) x)))))
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/162 (.f64 (pow.f64 1 1/3) x)) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/120 x) (.f64 1/108 x)))) (.f64 1/324 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3)))) (.f64 1/3 (.f64 (-.f64 (.f64 1/120 x) (.f64 1/108 x)) (pow.f64 1 1/3)))))) (+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/18 (*.f64 (pow.f64 1 1/3) x))))))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 -1/5040 x) (+.f64 (.f64 -1/9 (-.f64 (.f64 1/120 x) (.f64 1/108 x))) (.f64 -1/5832 x))))) (.f64 -1/27 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/120 x) (.f64 1/108 x))))) (pow.f64 (.f64 1 x) 1/3)) (+.f64 (.f64 -1/18 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/120 x) (.f64 1/108 x)))) (.f64 1/324 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/5040 x) (+.f64 (.f64 -1/9 (-.f64 (.f64 1/120 x) (.f64 1/108 x))) (.f64 -1/5832 x))))) (.f64 -1/27 (.f64 (-.f64 (.f64 1/120 x) (.f64 1/108 x)) (pow.f64 1 1/3)))))) (pow.f64 y 6)) (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/162 (.f64 (pow.f64 1 1/3) x)) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/120 x) (.f64 1/108 x)))) (.f64 1/324 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3)))) (.f64 1/3 (.f64 (-.f64 (.f64 1/120 x) (.f64 1/108 x)) (pow.f64 1 1/3)))))) (+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/18 (*.f64 (pow.f64 1 1/3) x)))))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))) 1)
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))) 1)
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 1 1/3))
(.f64 1 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))))
(.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1/6) (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 x y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1/3))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))))) (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))))) (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y)))) 2))) (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1/6)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y)))))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y)))) 2)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1/6))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y)))) 2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1/6))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (cbrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(/.f64 (cbrt.f64 x) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 y))
(/.f64 (.f64 1 (cbrt.f64 (.f64 (sin.f64 y) x))) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (neg.f64 (sin.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (sin.f64 y) x))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 1) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x)) (cbrt.f64 y))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) (cbrt.f64 x)) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (cbrt.f64 (cbrt.f64 (.f64 y y)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 1)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1/3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))
(.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 2) 3))
(.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1)
(.f64 1 (.f64 (sin.f64 y) (/.f64 x y)))
(.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1/6) (.f64 (pow.f64 (.f64 (sin.f64 y) (/.f64 x y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)))
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))))
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(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (*.f64 y y)) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (.f64 y y)) x)) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (.f64 y y)) x)) (cbrt.f64 (cbrt.f64 (.f64 y y)))) (cbrt.f64 (cbrt.f64 y)))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) x))
(neg.f64 (*.f64 x (/.f64 (sin.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (sqrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (*.f64 x (sqrt.f64 (sin.f64 y)))))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
(/.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 y x) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (/.f64 y x) (cbrt.f64 (sin.f64 y))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (*.f64 x (cbrt.f64 (sin.f64 y)))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (*.f64 x x))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) (/.f64 y 1))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (/.f64 y (sqrt.f64 (.f64 (sin.f64 y) x))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (cbrt.f64 (.f64 (sin.f64 y) x))) (/.f64 y (cbrt.f64 (.f64 (sin.f64 y) x))))
(/.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (/.f64 y (sqrt.f64 x)))
(/.f64 (.f64 (sin.f64 y) (cbrt.f64 (.f64 x x))) (/.f64 y (cbrt.f64 x)))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
(/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (*.f64 y y)) x)) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) (/.f64 y (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) 1)) y)
(/.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 x (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y)))) (cbrt.f64 y))
(/.f64 (*.f64 x -1) (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (/.f64 1 x))) y)
(/.f64 (*.f64 1 (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y)))) (sqrt.f64 y))
(/.f64 (.f64 1 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (.f64 y y)) x))) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) x))) (sqrt.f64 y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 (*.f64 (sin.f64 y) x))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) x) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) x) (/.f64 1 (cbrt.f64 (*.f64 y y)))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) x) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) 1) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (cbrt.f64 (neg.f64 (sin.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) x) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) x) (sqrt.f64 y))
(/.f64 (.f64 (/.f64 (sin.f64 y) (cbrt.f64 (.f64 y y))) x) (cbrt.f64 y))
(/.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y)))) 2) 3) (cbrt.f64 (*.f64 (sin.f64 y) x))) (cbrt.f64 y))
(/.f64 (*.f64 -1 x) (/.f64 y (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) x) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)) (cbrt.f64 y))
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 x)) 1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) 1) y)
(/.f64 (*.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))) 1) (sqrt.f64 y))
(/.f64 (.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (.f64 y y)) x)) 1) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) (sqrt.f64 y))
(/.f64 (.f64 1 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 1 (.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 x))) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (cbrt.f64 (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 x))) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (sin.f64 y))) (.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) (cbrt.f64 x))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (sin.f64 y) (/.f64 x (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (sin.f64 y) (/.f64 x (cbrt.f64 y))) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 x 1) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) x) (cbrt.f64 y)) (cbrt.f64 (.f64 y y)))
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 1 (sqrt.f64 (sin.f64 y)))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) 1)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) (sqrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 (cbrt.f64 (*.f64 y y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (neg.f64 x)) (cbrt.f64 (.f64 y y))) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (neg.f64 x)) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) -1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 (cbrt.f64 (.f64 y y)))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) 1) y)
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) (cbrt.f64 y)) (cbrt.f64 (*.f64 y y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sin.f64 y))) (sqrt.f64 (cbrt.f64 (*.f64 y y)))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (*.f64 y y)) x)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (*.f64 y y)) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (*.f64 y y)) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (.f64 y y)) x)) (.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (cbrt.f64 (.f64 y y)) x)) (cbrt.f64 (cbrt.f64 (.f64 y y)))) (cbrt.f64 (cbrt.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
(pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2)
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2) 3/2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3) 1/3)
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) x))
(neg.f64 (*.f64 x (/.f64 (sin.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 (sin.f64 y) x) (neg.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sin.f64 y) y)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))

Outputs
(pow.f64 x 1/3)
(cbrt.f64 x)
(+.f64 (pow.f64 x 1/3) (.f64 -1/18 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 2))))
(+.f64 (.f64 -1/18 (.f64 (*.f64 y y) (cbrt.f64 x))) (cbrt.f64 x))
(fma.f64 -1/18 (.f64 y (.f64 y (cbrt.f64 x))) (cbrt.f64 x))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/120 x) (.f64 1/108 x)) (pow.f64 y 4)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (.f64 -1/18 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2)))))
(+.f64 (fma.f64 1/3 (.f64 (.f64 x -1/1080) (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 -1/18 (.f64 (*.f64 y y) (cbrt.f64 x)))) (cbrt.f64 x))
(+.f64 (fma.f64 -1/18 (.f64 y (.f64 y (cbrt.f64 x))) (cbrt.f64 x)) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (.f64 1/3 (*.f64 x -1/1080)) (pow.f64 y 4))))
(+.f64 (pow.f64 x 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3) (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/5040 x) (+.f64 (.f64 -1/9 (-.f64 (.f64 1/120 x) (.f64 1/108 x))) (.f64 -1/5832 x)))))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/120 x) (.f64 1/108 x)) (pow.f64 y 4)) (pow.f64 (/.f64 1 (pow.f64 x 2)) 1/3))) (.f64 -1/18 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 2))))))
(+.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (.f64 (pow.f64 y 6) (-.f64 (.f64 x -1/5040) (fma.f64 -1/9 (.f64 x -1/1080) (.f64 x -1/5832))))) (fma.f64 1/3 (.f64 (.f64 x -1/1080) (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (.f64 x x))))) (.f64 -1/18 (.f64 (*.f64 y y) (cbrt.f64 x))))) (cbrt.f64 x))
(+.f64 (.f64 1/3 (+.f64 (.f64 (-.f64 (.f64 x -1/5040) (fma.f64 x -1/5832 (.f64 x 1/9720))) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 y 6))) (.f64 x (.f64 -1/1080 (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (.f64 x x)))))))) (fma.f64 -1/18 (.f64 y (.f64 y (cbrt.f64 x))) (cbrt.f64 x)))
(+.f64 (fma.f64 -1/18 (.f64 y (.f64 y (cbrt.f64 x))) (cbrt.f64 x)) (.f64 1/3 (+.f64 (.f64 x (.f64 -1/1080 (.f64 (pow.f64 y 4) (cbrt.f64 (/.f64 1 (.f64 x x)))))) (.f64 (-.f64 (.f64 x -1/5040) (fma.f64 x -1/5832 (.f64 x 1/9720))) (.f64 (cbrt.f64 (/.f64 1 (.f64 x x))) (pow.f64 y 6))))))
(*.f64 (pow.f64 1 1/3) x)
x
(+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/18 (.f64 (pow.f64 1 1/3) x)))))
(+.f64 x (.f64 (.f64 y y) (*.f64 x -1/6)))
(fma.f64 (.f64 y y) (.f64 x -1/6) x)
(+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/162 (.f64 (pow.f64 1 1/3) x)) (+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 x) 1/3) (-.f64 (.f64 1/120 x) (.f64 1/108 x)))) (.f64 1/324 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3)))) (.f64 1/3 (.f64 (-.f64 (.f64 1/120 x) (.f64 1/108 x)) (pow.f64 1 1/3)))))) (+.f64 (.f64 (pow.f64 1 1/3) x) (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/9 (.f64 (pow.f64 1 1/3) x)) (.f64 -1/18 (*.f64 (pow.f64 1 1/3) x))))))
(fma.f64 (pow.f64 y 4) (fma.f64 1/162 x (fma.f64 (cbrt.f64 x) (fma.f64 2/3 (.f64 (.f64 x -1/1080) (cbrt.f64 (/.f64 1 x))) (.f64 1/324 (cbrt.f64 (.f64 x x)))) (.f64 1/3 (.f64 1 (.f64 x -1/1080))))) (+.f64 x (.f64 (.f64 y y) (.f64 x -1/6))))
(fma.f64 (pow.f64 y 4) (fma.f64 x 1/162 (fma.f64 (fma.f64 1/324 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 (/.f64 1 x)) (.f64 (.f64 x -1/1080) 2/3))) (cbrt.f64 x) (.f64 1/3 (.f64 x -1/1080)))) (fma.f64 (.f64 y y) (.f64 x -1/6) x))
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(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 3))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(*.f64 x (/.f64 (sin.f64 y) y))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) (/.f64 x y))))
(*.f64 x (/.f64 (sin.f64 y) y))

eval189.0ms (3.1%)

Compiler: Compiled 12714 to 5642 computations (55.6% saved)

prune161.0ms (2.6%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	804	11	815
Fresh	4	1	5
Picked	1	0	1
Done	1	4	5
Total	810	16	826

Error

Counts

826 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)
	7.0b	(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
✓	6.9b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	33.7b	(/.f64 (*.f64 y x) y)
	8.1b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	19.1b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
	0.2b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
▶	8.2b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
▶	8.7b	(*.f64 (/.f64 x y) (sin.f64 y))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
✓	27.2b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
▶	62.5b	(.f64 x (.f64 -1/6 (*.f64 y y)))
	62.5b	(.f64 -1/6 (.f64 x (*.f64 y y)))
	26.8b	x

Compiler

Compiled 244 to 165 computations (32.4% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite80.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`associate-/r*`
1326×	`associate-*r/`
968×	`*-commutative`
952×	`associate-/l*`
938×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	205	28
2	2620	28

Stop Event

1×	node limit

Counts

2 → 210

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 y (*.f64 (sqrt.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 y (*.f64 (sqrt.f64 x) (sin.f64 y))) (cbrt.f64 (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 (/.f64 y (*.f64 (cbrt.f64 x) (sin.f64 y))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 y (*.f64 (cbrt.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (cbrt.f64 (/.f64 (sin.f64 y) y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 y) x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -1) (/.f64 (neg.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x 1) (/.f64 y (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)) (cbrt.f64 (/.f64 y (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 x (neg.f64 y)) (/.f64 -1 (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 x 1) (sin.f64 y)) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 x) (/.f64 (neg.f64 y) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 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simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1172×	`associate-/l*`
880×	`distribute-rgt-in`
868×	`distribute-lft-in`
812×	`associate-/l/`
552×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	522	6296
1	1394	6082
2	5966	6082

Stop Event

1×	node limit

Counts

246 → 292

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.4b	(/.f64 (*.f64 y x) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`add-sqr-sqrt`
1436×	`*-un-lft-identity`
1340×	`add-cube-cbrt`
1318×	`add-cbrt-cube`
1306×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	126	13
2	1753	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify59.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1434×	`associate-/l*`
1290×	`associate-*r/`
1122×	`associate-+r+`
1018×	`associate-+l+`
810×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	393
1	284	339
2	1195	339
3	6718	339

Stop Event

1×	node limit

Counts

65 → 48

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 -1/6 (.f64 y y))
✓	9.0b	(.f64 x (.f64 -1/6 (*.f64 y y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`add-sqr-sqrt`
1482×	`*-un-lft-identity`
1380×	`add-cube-cbrt`
1364×	`add-cbrt-cube`
1350×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	163	19
2	1940	19

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1404×	`distribute-rgt-in`
1374×	`distribute-lft-in`
1276×	`associate-r`
1162×	`associate-l`
1110×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	694
1	122	694
2	456	688
3	2973	688

Stop Event

1×	node limit

Counts

36 → 21

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.1b	(*.f64 (/.f64 x y) (sin.f64 y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify308.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1322×	`associate-r`
1226×	`associate-l`
768×	`associate-+r+`
688×	`associate-+l+`
456×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	855
1	201	855
2	717	843
3	5007	841

Stop Event

1×	node limit

Counts

47 → 39

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
✓	7.5b	(/.f64 (/.f64 y x) (sin.f64 y))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite94.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1828×	`associate-/l*`
1064×	`*-commutative`
742×	`unswap-sqr`
668×	`associate-/r/`
654×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	210	34
2	2860	34

Stop Event

1×	node limit

Counts

2 → 199

Calls

Call 1

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

Outputs

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

simplify115.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

860×	`distribute-rgt-in`
844×	`distribute-lft-in`
824×	`distribute-lft-neg-out`
700×	`*-commutative`
636×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	474	6063
1	1326	5733
2	4694	5733

Stop Event

1×	node limit

Counts

247 → 286

Calls

Call 1

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

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

eval142.0ms (2.3%)

Compiler: Compiled 10458 to 3903 computations (62.7% saved)

prune150.0ms (2.4%)

Pruning

24 alts after pruning (15 fresh and 9 done)

	Pruned	Kept	Total
New	747	9	756
Fresh	1	6	7
Picked	0	1	1
Done	0	8	8
Total	748	24	772

Error

Counts

772 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)
	7.0b	(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
✓	6.9b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	33.7b	(/.f64 (*.f64 y x) y)
	8.1b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	19.1b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
▶	0.2b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
✓	8.2b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
▶	26.9b	(/.f64 1 (/.f64 1 x))
	35.8b	(-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)
✓	8.7b	(*.f64 (/.f64 x y) (sin.f64 y))
▶	33.8b	(.f64 (/.f64 1 y) (.f64 y x))
	28.4b	(*.f64 y (/.f64 1 (/.f64 y x)))
	28.9b	(.f64 y (.f64 x (/.f64 1 y)))
▶	62.4b	(.f64 y (.f64 x (*.f64 -1/6 y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
▶	19.1b	(.f64 x (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
✓	27.2b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	26.9b	(.f64 x (.f64 y (/.f64 1 y)))
✓	62.5b	(.f64 x (.f64 -1/6 (*.f64 y y)))
	62.4b	(.f64 -1/6 (.f64 y (*.f64 y x)))
	26.8b	x

Compiler

Compiled 352 to 244 computations (30.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.2b	(*.f64 (/.f64 1 (sin.f64 y)) y)

Compiler

Compiled 25 to 13 computations (48% saved)

series1.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite75.0ms (1.2%)

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	39
1	203	39
2	2646	39

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) (/.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 y) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 y) (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (sin.f64 y) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 y) (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (sqrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 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simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1790×	`unswap-sqr`
552×	`distribute-rgt-in`
544×	`distribute-lft-in`
540×	`associate-/l*`
510×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	411	4039
1	1055	3951
2	3943	3951

Stop Event

1×	node limit

Counts

215 → 251

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 1 x))

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1182×	`associate-r`
908×	`add-sqr-sqrt`
892×	`*-un-lft-identity`
842×	`pow1`
832×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	125	1
2	1227	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-*r/`
1178×	`associate-/r*`
952×	`associate-*l/`
916×	`associate-/l*`
850×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	273
1	241	231
2	805	223
3	3088	223

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (.f64 x (*.f64 -1/6 y)))
✓	0.2b	(.f64 x (.f64 -1/6 y))
✓	0.4b	(*.f64 -1/6 y)

Compiler

Compiled 20 to 12 computations (40% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`add-sqr-sqrt`
1552×	`*-un-lft-identity`
1444×	`add-cube-cbrt`
1420×	`add-cbrt-cube`
1404×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	39
1	163	39
2	1953	39

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

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

Outputs

((#(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)))))))

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

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

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

986×	`associate-/l*`
868×	`unswap-sqr`
838×	`log-prod`
782×	`*-commutative`
560×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1380
1	220	1308
2	940	1236
3	3322	1236
4	5959	1236

Stop Event

1×	node limit

Counts

84 → 43

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	12.6b	(.f64 (/.f64 1 y) (.f64 y x))

Compiler

Compiled 18 to 9 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1360×	`add-sqr-sqrt`
1344×	`*-un-lft-identity`
1252×	`add-cube-cbrt`
1228×	`add-cbrt-cube`
1214×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	160	1
2	2007	1

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1474×	`associate-r`
1224×	`associate-/l*`
1032×	`associate-l`
972×	`associate-*r/`
844×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	48
1	137	48
2	657	48
3	7153	48

Stop Event

1×	node limit

Counts

48 → 25

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 y y) 1/6)
✓	0.3b	(/.f64 1 (+.f64 1 (.f64 (.f64 y y) 1/6)))
✓	2.3b	(.f64 x (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))

Compiler

Compiled 41 to 24 computations (41.5% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite82.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`*-commutative`
872×	`associate-*r/`
610×	`swap-sqr`
578×	`associate-*l/`
534×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	233	55
2	2921	55

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (*.f64 y (*.f64 y 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 y 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y 1/6) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 y (*.f64 y -1/6)))) (+.f64 (/.f64 (*.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 y (*.f64 y -1/6)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 y y) 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y 1/6))))))))

simplify108.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-lft-in`
1302×	`distribute-rgt-in`
634×	`associate-/l*`
560×	`associate-r`
550×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	479	7752
1	1352	7230
2	5161	7230

Stop Event

1×	node limit

Counts

202 → 296

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
(+.f64 (.f64 -1/216 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(/.f64 6 (pow.f64 y 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(/.f64 6 (pow.f64 y 2))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(*.f64 1/6 (pow.f64 y 2))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 y (.f64 y -1/6))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216))) 1) (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216))) (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (*.f64 y -1/6)))))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216))) (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 y -1/6)))) (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 (*.f64 y y) 3) 1/216))) 1))
(+.f64 (.f64 1 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (.f64 (.f64 y (.f64 y -1/6)) (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))))
(+.f64 (.f64 1 (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216)))) (.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 y -1/6))) (/.f64 x (+.f64 1 (.f64 (pow.f64 (*.f64 y y) 3) 1/216)))))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 y -1/6))) (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216)))) (.f64 1 (/.f64 x (+.f64 1 (.f64 (pow.f64 (*.f64 y y) 3) 1/216)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) 1)
(/.f64 x (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 1 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) x))
(/.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 1)
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (sqrt.f64 x)))
(/.f64 (cbrt.f64 x) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (pow.f64 (cbrt.f64 x) 2)))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(exp.f64 (neg.f64 (log1p.f64 (.f64 y (.f64 y 1/6)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(+.f64 1 (-.f64 (.f64 y (.f64 y 1/6)) 1))
(+.f64 (.f64 y (.f64 y 1/6)) 0)
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y 1/6) 1))) 2)
(-.f64 (/.f64 1 (+.f64 1 (.f64 y (.f64 y -1/6)))) (+.f64 (/.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 y (*.f64 y -1/6)))) 1))
(pow.f64 (.f64 y (.f64 y 1/6)) 1)
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 3)
(pow.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y 1/6)))))
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/216))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y 1/6))))
(exp.f64 (log.f64 (.f64 y (.f64 y 1/6))))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y 1/6))))

Outputs
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (+.f64 1 (*.f64 1/6 (pow.f64 y 2))))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(fma.f64 -1/6 (.f64 y (.f64 y x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 1/36 (*.f64 x (pow.f64 y 4)) x))
(.f64 x (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 -1/216 (.f64 (pow.f64 y 6) x)) (+.f64 (.f64 1/36 (.f64 (pow.f64 y 4) x)) x)))
(fma.f64 -1/6 (.f64 x (.f64 y y)) (fma.f64 -1/216 (.f64 x (pow.f64 y 6)) (fma.f64 1/36 (.f64 x (pow.f64 y 4)) x)))
(+.f64 (.f64 x (.f64 -1/216 (pow.f64 y 6))) (.f64 x (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(.f64 6 (/.f64 x (.f64 y y)))
(*.f64 6 (/.f64 (/.f64 x y) y))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (.f64 6 (/.f64 x (.f64 y y))))
(fma.f64 6 (/.f64 (/.f64 x y) y) (/.f64 -36 (/.f64 (pow.f64 y 4) x)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (/.f64 (.f64 216 x) (pow.f64 y 6))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 (/.f64 x y) y) (/.f64 (*.f64 x 216) (pow.f64 y 6))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (fma.f64 216 (/.f64 x (pow.f64 y 6)) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 (/.f64 x y) y) (fma.f64 -1296 (/.f64 x (pow.f64 y 8)) (/.f64 (*.f64 x 216) (pow.f64 y 6)))))
(*.f64 6 (/.f64 x (pow.f64 y 2)))
(.f64 6 (/.f64 x (.f64 y y)))
(*.f64 6 (/.f64 (/.f64 x y) y))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (.f64 6 (/.f64 x (pow.f64 y 2))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (.f64 6 (/.f64 x (.f64 y y))))
(fma.f64 6 (/.f64 (/.f64 x y) y) (/.f64 -36 (/.f64 (pow.f64 y 4) x)))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (*.f64 216 (/.f64 x (pow.f64 y 6)))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (/.f64 (.f64 216 x) (pow.f64 y 6))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 (/.f64 x y) y) (/.f64 (*.f64 x 216) (pow.f64 y 6))))
(+.f64 (.f64 -36 (/.f64 x (pow.f64 y 4))) (+.f64 (.f64 6 (/.f64 x (pow.f64 y 2))) (+.f64 (.f64 216 (/.f64 x (pow.f64 y 6))) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 x (.f64 y y)) (fma.f64 216 (/.f64 x (pow.f64 y 6)) (.f64 -1296 (/.f64 x (pow.f64 y 8))))))
(fma.f64 -36 (/.f64 x (pow.f64 y 4)) (fma.f64 6 (/.f64 (/.f64 x y) y) (fma.f64 -1296 (/.f64 x (pow.f64 y 8)) (/.f64 (*.f64 x 216) (pow.f64 y 6)))))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 y (.f64 y -1/6)))
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/36 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4))))
(fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1))
(+.f64 (.f64 -1/216 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/36 (pow.f64 y 4)))))
(fma.f64 -1/216 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4)))))
(fma.f64 -1/216 (pow.f64 y 6) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1)))
(/.f64 6 (pow.f64 y 2))
(/.f64 6 (*.f64 y y))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4)))
(+.f64 (/.f64 6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(+.f64 (/.f64 6 (*.f64 y y)) (-.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 36 (pow.f64 y 4))))
(+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 -36 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(-.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 216 (pow.f64 y 6))) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 1296 (pow.f64 y 8))))
(+.f64 (/.f64 6 (*.f64 y y)) (-.f64 (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 -36 (pow.f64 y 4))) (/.f64 1296 (pow.f64 y 8))))
(+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 216 (pow.f64 y 6)) (-.f64 (/.f64 -36 (pow.f64 y 4)) (/.f64 1296 (pow.f64 y 8)))))
(/.f64 6 (pow.f64 y 2))
(/.f64 6 (*.f64 y y))
(-.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 36 (/.f64 1 (pow.f64 y 4))))
(-.f64 (/.f64 6 (*.f64 y y)) (/.f64 36 (pow.f64 y 4)))
(+.f64 (/.f64 6 (*.f64 y y)) (/.f64 -36 (pow.f64 y 4)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (*.f64 36 (/.f64 1 (pow.f64 y 4))))
(+.f64 (/.f64 6 (*.f64 y y)) (-.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 36 (pow.f64 y 4))))
(+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 -36 (pow.f64 y 4))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 y 2))) (.f64 216 (/.f64 1 (pow.f64 y 6)))) (+.f64 (.f64 1296 (/.f64 1 (pow.f64 y 8))) (.f64 36 (/.f64 1 (pow.f64 y 4)))))
(-.f64 (+.f64 (/.f64 6 (*.f64 y y)) (/.f64 216 (pow.f64 y 6))) (+.f64 (/.f64 36 (pow.f64 y 4)) (/.f64 1296 (pow.f64 y 8))))
(+.f64 (/.f64 6 (*.f64 y y)) (-.f64 (+.f64 (/.f64 216 (pow.f64 y 6)) (/.f64 -36 (pow.f64 y 4))) (/.f64 1296 (pow.f64 y 8))))
(+.f64 (/.f64 6 (*.f64 y y)) (+.f64 (/.f64 216 (pow.f64 y 6)) (-.f64 (/.f64 -36 (pow.f64 y 4)) (/.f64 1296 (pow.f64 y 8)))))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(*.f64 1/6 (pow.f64 y 2))
(.f64 y (.f64 1/6 y))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) 1) (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (.f64 y (.f64 y -1/6))))
(.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (+.f64 1 (.f64 y (.f64 y -1/6))))
(.f64 (/.f64 x (fma.f64 (pow.f64 y 4) -1/36 1)) (fma.f64 y (.f64 y -1/6) 1))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216))) 1) (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216))) (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (*.f64 y -1/6)))))
(.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 6) 1/216))) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 y 6) 1/216 1)) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1)))
(+.f64 (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216))) (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 y -1/6)))) (.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 (*.f64 y y) 3) 1/216))) 1))
(.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 6) 1/216))) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 y 6) 1/216 1)) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1)))
(+.f64 (.f64 1 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (.f64 (.f64 y (.f64 y -1/6)) (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))))
(.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (+.f64 1 (.f64 y (.f64 y -1/6))))
(.f64 (/.f64 x (fma.f64 (pow.f64 y 4) -1/36 1)) (fma.f64 y (.f64 y -1/6) 1))
(+.f64 (.f64 1 (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216)))) (.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 y -1/6))) (/.f64 x (+.f64 1 (.f64 (pow.f64 (*.f64 y y) 3) 1/216)))))
(.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 6) 1/216))) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 y 6) 1/216 1)) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1)))
(+.f64 (.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (.f64 y (.f64 y -1/6))) (/.f64 x (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216)))) (.f64 1 (/.f64 x (+.f64 1 (.f64 (pow.f64 (*.f64 y y) 3) 1/216)))))
(.f64 (/.f64 x (+.f64 1 (.f64 (pow.f64 y 6) 1/216))) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4)))))
(.f64 (/.f64 x (fma.f64 (pow.f64 y 6) 1/216 1)) (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (.f64 y -1/6) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)))) 1)
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 x (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 1 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) x))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 (/.f64 x (fma.f64 y (*.f64 y 1/6) 1)) 1)
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 (sqrt.f64 x) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (sqrt.f64 x)))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 (cbrt.f64 x) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 (cbrt.f64 x) (/.f64 (fma.f64 y (.f64 1/6 y) 1) (sqrt.f64 x))) (cbrt.f64 (sqrt.f64 x)))
(.f64 (/.f64 (cbrt.f64 x) (fma.f64 1/6 (.f64 y y) 1)) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cbrt.f64 x)))
(/.f64 x (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 x (fma.f64 1/6 (*.f64 y y) 1))
(/.f64 -1 (/.f64 (+.f64 -1 (.f64 y (.f64 y -1/6))) x))
(.f64 (/.f64 -1 (+.f64 (.f64 y (*.f64 y -1/6)) -1)) x)
(/.f64 (neg.f64 x) (fma.f64 y (*.f64 y -1/6) -1))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (fma.f64 y (.f64 1/6 y) 1) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (sqrt.f64 x)) (.f64 (/.f64 (sqrt.f64 (sqrt.f64 x)) (fma.f64 1/6 (*.f64 y y) 1)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 y (.f64 1/6 y) 1) (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x))))
(.f64 (/.f64 (fabs.f64 (cbrt.f64 x)) (fma.f64 1/6 (.f64 y y) 1)) (*.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (fma.f64 y (*.f64 y 1/6) 1) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
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(/.f64 (+.f64 (.f64 (pow.f64 y 4) -1/36) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 -1/216 (pow.f64 y 6) -1))
(.f64 (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (-.f64 1 (.f64 (.f64 (pow.f64 y 4) (pow.f64 y 4)) 1/1296))) (+.f64 1 (.f64 (pow.f64 y 4) 1/36)))
(.f64 (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (-.f64 1 (.f64 (pow.f64 y 8) 1/1296))) (+.f64 1 (*.f64 1/36 (pow.f64 y 4))))
(.f64 (/.f64 (fma.f64 y (.f64 y -1/6) 1) (+.f64 1 (*.f64 (pow.f64 y 8) -1/1296))) (fma.f64 1/36 (pow.f64 y 4) 1))
(.f64 (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (-.f64 1 (pow.f64 (.f64 (pow.f64 y 4) 1/36) 3))) (+.f64 1 (.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 (pow.f64 y 4) 1/36)))))
(.f64 (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) (+.f64 1 (.f64 -1/46656 (pow.f64 (pow.f64 y 4) 3)))) (+.f64 1 (.f64 (.f64 1/36 (pow.f64 y 4)) (+.f64 1 (*.f64 1/36 (pow.f64 y 4))))))
(.f64 (/.f64 (fma.f64 y (.f64 y -1/6) 1) (+.f64 1 (.f64 (pow.f64 (pow.f64 y 4) 3) -1/46656))) (+.f64 (fma.f64 1/36 (pow.f64 y 4) 1) (.f64 (pow.f64 y 8) 1/1296)))
(.f64 (/.f64 1 (-.f64 (.f64 (pow.f64 y 4) 1/36) 1)) (-.f64 (.f64 y (.f64 y 1/6)) 1))
(.f64 (/.f64 1 (fma.f64 (pow.f64 y 4) 1/36 -1)) (-.f64 -1 (.f64 y (*.f64 y -1/6))))
(/.f64 (fma.f64 1/6 (*.f64 y y) -1) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (/.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -1/2) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (+.f64 1 (.f64 y (*.f64 y -1/6)))))
(.f64 (/.f64 (pow.f64 (fma.f64 y (.f64 1/6 y) 1) -1/2) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (sqrt.f64 (+.f64 1 (.f64 y (*.f64 y -1/6)))))
(.f64 (/.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) 1) -1/2) (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1))) (sqrt.f64 (fma.f64 y (*.f64 y -1/6) 1)))
(.f64 (/.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -1/2) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 y (*.f64 y -1/6))))))
(.f64 (/.f64 (pow.f64 (fma.f64 y (.f64 1/6 y) 1) -1/2) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 6) 1/216)))) (sqrt.f64 (+.f64 1 (fma.f64 -1/6 (.f64 y y) (*.f64 1/36 (pow.f64 y 4))))))
(.f64 (/.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) 1) -1/2) (sqrt.f64 (fma.f64 (pow.f64 y 6) 1/216 1))) (sqrt.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1))))
(.f64 (/.f64 -1 (+.f64 -1 (neg.f64 (.f64 (pow.f64 y 4) -1/36)))) (+.f64 1 (.f64 y (.f64 y -1/6))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 y 4) 1/36 -1)) (-.f64 -1 (.f64 y (*.f64 y -1/6))))
(/.f64 (fma.f64 1/6 (*.f64 y y) -1) (fma.f64 1/36 (pow.f64 y 4) -1))
(.f64 (/.f64 -1 (+.f64 -1 (neg.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/216)))) (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 y (.f64 y -1/6)))))
(.f64 (/.f64 1 (+.f64 -1 (.f64 -1/216 (pow.f64 y 6)))) (neg.f64 (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/36 (pow.f64 y 4))))))
(/.f64 (+.f64 (.f64 (pow.f64 y 4) -1/36) (fma.f64 1/6 (.f64 y y) -1)) (fma.f64 -1/216 (pow.f64 y 6) -1))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (+.f64 1 (.f64 y (*.f64 y -1/6)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 1/6 y) 1) -2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))) (cbrt.f64 (+.f64 1 (.f64 y (*.f64 y -1/6)))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) 1) -2)) (cbrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1))) (cbrt.f64 (fma.f64 y (*.f64 y -1/6) 1)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 y 1/6) 1) -2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 3) 1/216)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 y (*.f64 y -1/6))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 y (.f64 1/6 y) 1) -2)) (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 6) 1/216)))) (cbrt.f64 (+.f64 1 (fma.f64 -1/6 (.f64 y y) (*.f64 1/36 (pow.f64 y 4))))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 y y) 1) -2)) (cbrt.f64 (fma.f64 (pow.f64 y 6) 1/216 1))) (cbrt.f64 (fma.f64 1/36 (pow.f64 y 4) (fma.f64 y (*.f64 y -1/6) 1))))
(pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)) 1)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -1/2) 2)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 y (*.f64 y 1/6) 1))) 3)
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (*.f64 1/6 y) 1) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3)))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) -2))
(sqrt.f64 (pow.f64 (fma.f64 y (*.f64 1/6 y) 1) -2))
(sqrt.f64 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1)))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (*.f64 y 1/6) 1) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 y (*.f64 1/6 y) 1) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/6 (*.f64 y y) 1) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(exp.f64 (neg.f64 (log1p.f64 (.f64 y (.f64 y 1/6)))))
(exp.f64 (neg.f64 (log1p.f64 (.f64 y (.f64 1/6 y)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 y (*.f64 y 1/6) 1))))
(/.f64 1 (fma.f64 y (*.f64 1/6 y) 1))
(/.f64 1 (fma.f64 1/6 (*.f64 y y) 1))
(+.f64 1 (-.f64 (.f64 y (.f64 y 1/6)) 1))
(.f64 y (.f64 1/6 y))
(+.f64 (.f64 y (.f64 y 1/6)) 0)
(.f64 y (.f64 1/6 y))
(-.f64 (fma.f64 y (*.f64 y 1/6) 1) 1)
(.f64 y (.f64 1/6 y))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 y 1/6) 1))) 2)
(+.f64 (exp.f64 (log1p.f64 (fma.f64 y (*.f64 1/6 y) 1))) -2)
(+.f64 -2 (exp.f64 (log1p.f64 (fma.f64 1/6 (*.f64 y y) 1))))
(-.f64 (/.f64 1 (+.f64 1 (.f64 y (.f64 y -1/6)))) (+.f64 (/.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (.f64 y (*.f64 y -1/6)))) 1))
(-.f64 (-.f64 (/.f64 1 (+.f64 1 (.f64 y (.f64 y -1/6)))) (/.f64 (pow.f64 y 4) (/.f64 (+.f64 1 (.f64 y (.f64 y -1/6))) 1/36))) 1)
(+.f64 (-.f64 (/.f64 1 (fma.f64 y (.f64 y -1/6) 1)) (/.f64 (pow.f64 y 4) (/.f64 (fma.f64 y (.f64 y -1/6) 1) 1/36))) -1)
(+.f64 -1 (-.f64 (/.f64 1 (fma.f64 y (.f64 y -1/6) 1)) (/.f64 (pow.f64 y 4) (/.f64 (fma.f64 y (.f64 y -1/6) 1) 1/36))))
(pow.f64 (.f64 y (.f64 y 1/6)) 1)
(.f64 y (.f64 1/6 y))
(pow.f64 (*.f64 y (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 y (.f64 y 1/6))) 3)
(.f64 y (.f64 1/6 y))
(pow.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 y 6) 1/216))
(sqrt.f64 (*.f64 (pow.f64 y 4) 1/36))
(sqrt.f64 (*.f64 1/36 (pow.f64 y 4)))
(log.f64 (pow.f64 (exp.f64 y) (*.f64 y 1/6)))
(.f64 y (.f64 1/6 y))
(log.f64 (+.f64 1 (expm1.f64 (.f64 y (.f64 y 1/6)))))
(.f64 y (.f64 1/6 y))
(cbrt.f64 (.f64 (pow.f64 (.f64 y y) 3) 1/216))
(cbrt.f64 (*.f64 (pow.f64 y 6) 1/216))
(expm1.f64 (log1p.f64 (.f64 y (.f64 y 1/6))))
(.f64 y (.f64 1/6 y))
(exp.f64 (log.f64 (.f64 y (.f64 y 1/6))))
(.f64 y (.f64 1/6 y))
(log1p.f64 (expm1.f64 (.f64 y (.f64 y 1/6))))
(.f64 y (.f64 1/6 y))

eval275.0ms (4.5%)

Compiler: Compiled 10191 to 6223 computations (38.9% saved)

prune127.0ms (2.1%)

Pruning

27 alts after pruning (16 fresh and 11 done)

	Pruned	Kept	Total
New	653	10	663
Fresh	4	6	10
Picked	1	0	1
Done	2	11	13
Total	660	27	687

Error

Counts

687 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	29.2b	(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)
	7.0b	(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
✓	6.9b	(/.f64 (*.f64 (sin.f64 y) x) y)
	8.1b	(/.f64 (sin.f64 y) (/.f64 y x))
	19.1b	(/.f64 (neg.f64 x) (+.f64 -1 (.f64 y (.f64 y -1/6))))
	27.6b	(/.f64 y (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
	19.1b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
✓	0.2b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
✓	8.2b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
	33.8b	(/.f64 1 (/.f64 y (*.f64 y x)))
✓	26.9b	(/.f64 1 (/.f64 1 x))
	19.2b	(/.f64 -1 (/.f64 (+.f64 -1 (.f64 y (.f64 y -1/6))) x))
	35.8b	(-.f64 (+.f64 1 x) 1)
✓	8.7b	(*.f64 (/.f64 x y) (sin.f64 y))
	19.1b	(.f64 (/.f64 -1 (+.f64 (.f64 y (*.f64 y -1/6)) -1)) x)
	62.2b	(.f64 y (.f64 x (+.f64 1 (-.f64 (*.f64 -1/6 y) 1))))
✓	62.4b	(.f64 y (.f64 x (*.f64 -1/6 y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	54.5b	(.f64 x (/.f64 6 (.f64 y y)))
✓	0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
✓	27.2b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
✓	62.5b	(.f64 x (.f64 -1/6 (*.f64 y y)))
	54.4b	(*.f64 6 (/.f64 (/.f64 x y) y))
	62.4b	(.f64 -1/6 (.f64 y (*.f64 y x)))
	49.1b	(sqrt.f64 (*.f64 x x))
	26.8b	x

Compiler

Compiled 248 to 174 computations (29.8% saved)

regimes106.0ms (1.7%)

Counts

41 → 1

Calls

Call 1

Inputs
x
(-.f64 (+.f64 1 x) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(.f64 -1/6 (.f64 x (*.f64 y y)))
(.f64 -1/6 (.f64 y (*.f64 y x)))
(*.f64 6 (/.f64 (/.f64 x y) y))
(.f64 x (.f64 -1/6 (*.f64 y y)))
(.f64 x (.f64 y (/.f64 1 y)))
(.f64 x (/.f64 6 (.f64 y y)))
(.f64 y (.f64 x (*.f64 -1/6 y)))
(.f64 y (.f64 x (/.f64 1 y)))
(*.f64 y (/.f64 1 (/.f64 y x)))
(.f64 (/.f64 1 y) (.f64 y x))
(/.f64 1 (/.f64 y (*.f64 y x)))
(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)
(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
(/.f64 (neg.f64 x) (+.f64 -1 (.f64 y (.f64 y -1/6))))
(.f64 x (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
(.f64 y (.f64 x (+.f64 1 (-.f64 (*.f64 -1/6 y) 1))))
(.f64 (/.f64 -1 (+.f64 (.f64 y (*.f64 y -1/6)) -1)) x)
(/.f64 -1 (/.f64 (+.f64 -1 (.f64 y (.f64 y -1/6))) x))
(sqrt.f64 (*.f64 x x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
(*.f64 x (pow.f64 (/.f64 y (sin.f64 y)) -1))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)

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

Calls

4 calls:

50.0ms	y
18.0ms	x
17.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
14.0ms	(/.f64 (sin.f64 y) y)

Results

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

Compiler

Compiled 325 to 166 computations (48.9% saved)

regimes31.0ms (0.5%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	y
11.0ms	x

Results

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

Compiler

Compiled 191 to 112 computations (41.4% saved)

regimes63.0ms (1%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	y
25.0ms	x

Results

Error	Segments	Branch
19.8b	3	`x`
19.0b	3	`y`

Compiler

Compiled 124 to 67 computations (46% saved)

bsearch45.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.06499012747410403	234842102569.54547
22.0ms	-569794016.9545671	-0.11232197030987143

Results

40.0ms

320×

body

256

valid

Compiler

Compiled 453 to 329 computations (27.4% saved)

regimes70.0ms (1.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

45.0ms	y
22.0ms	x

Results

Error	Segments	Branch
19.8b	3	`x`
19.5b	3	`y`

Compiler

Compiled 106 to 56 computations (47.2% saved)

bsearch53.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.06499012747410403	234842102569.54547
33.0ms	-569794016.9545671	-0.11232197030987143

Results

50.0ms

320×

body

256

valid

Compiler

Compiled 293 to 209 computations (28.7% saved)

regimes28.0ms (0.5%)

Accuracy

Total -43.0b remaining (-218.7%)

Threshold costs -43.0b (-218.7%)

Counts

7 → 3

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 x) 1)
x
(-.f64 (+.f64 1 x) 1)

Calls

2 calls:

13.0ms	x
12.0ms	y

Results

Error	Segments	Branch
19.8b	3	`x`
19.7b	3	`y`

Compiler

Compiled 43 to 25 computations (41.9% saved)

bsearch63.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	9.064423941900194e+28	6.535044685284957e+34
42.0ms	-8.414531523228879e+47	-6.311725208085302e+31

Results

59.0ms

304×

body

256

valid

Compiler

Compiled 241 to 199 computations (17.4% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
8×	`+-commutative`
6×	`if-if-or-not`
2×	`sub-neg`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	196
1	69	196
2	70	196

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
(if (<=.f64 y -5800000) (.f64 6 (/.f64 (/.f64 x y) y)) (if (<=.f64 y 80000) (.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y)))) (*.f64 6 (/.f64 (/.f64 x y) y))))
(if (<=.f64 y -2758454771764429/1125899906842624) (.f64 6 (/.f64 (/.f64 x y) y)) (if (<=.f64 y 2758454771764429/1125899906842624) x (.f64 6 (/.f64 (/.f64 x y) y))))
(if (<=.f64 y -1799999999999999869753613647685353472) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 95000000000000007800013870596096) x (-.f64 (+.f64 1 x) 1)))
x

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
(if (<=.f64 y -5800000) (.f64 6 (/.f64 (/.f64 x y) y)) (if (<=.f64 y 80000) (.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y)))) (*.f64 6 (/.f64 (/.f64 x y) y))))
(if (or (<=.f64 y -5800000) (not (<=.f64 y 80000))) (.f64 6 (/.f64 (/.f64 x y) y)) (.f64 x (+.f64 1 (.f64 (.f64 y y) -1/6))))
(if (<=.f64 y -2758454771764429/1125899906842624) (.f64 6 (/.f64 (/.f64 x y) y)) (if (<=.f64 y 2758454771764429/1125899906842624) x (.f64 6 (/.f64 (/.f64 x y) y))))
(if (or (<=.f64 y -2758454771764429/1125899906842624) (not (<=.f64 y 2758454771764429/1125899906842624))) (*.f64 6 (/.f64 (/.f64 x y) y)) x)
(if (<=.f64 y -1799999999999999869753613647685353472) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 95000000000000007800013870596096) x (-.f64 (+.f64 1 x) 1)))
(if (or (<=.f64 y -1799999999999999869753613647685353472) (not (<=.f64 y 95000000000000007800013870596096))) (-.f64 (+.f64 x 1) 1) x)
x

Compiler

Compiled 85 to 60 computations (29.4% saved)

soundness0.0ms (0%)

end81.0ms (1.3%)

Compiler: Compiled 75 to 47 computations (37.3% saved)