Details

analyze69.0ms (1.2%)

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)

sample1.4s (25.6%)

Results

719.0ms	6100×	body	256	valid
442.0ms	1306×	body	1024	valid
263.0ms	846×	body	512	valid
2.0ms	4×	body	2048	valid

Bogosity

preprocess13.0ms (0.2%)

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)

simplify11.0ms (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)

prune4.0ms (0.1%)

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)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series5.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
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 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))

rewrite61.0ms (1.1%)

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 (0.8%)

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))

eval16.0ms (0.3%)

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

prune18.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	77	7	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	8	85

Error

Counts

85 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.2b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	7.7b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
	0.4b	(*.f64 x (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	29.8b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
▶	0.2b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
	29.2b	x

Compiler

Compiled 145 to 99 computations (31.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite61.0ms (1.1%)

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	2373	28

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

simplify51.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1470×	`associate-/l*`
1254×	`associate-/r*`
1106×	`unswap-sqr`
704×	`*-commutative`
388×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	208	1794
1	526	1772
2	2142	1772

Stop Event

1×	node limit

Counts

102 → 102

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

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))))

rewrite87.0ms (1.6%)

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))))))))

simplify203.0ms (3.6%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	7.2b	(/.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	@	0	(*.f64 (sin.f64 y) x)
0.0ms	y	@	-inf	(*.f64 (sin.f64 y) x)

rewrite92.0ms (1.6%)

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 (0.9%)

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))

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
✓	0.3b	(*.f64 (/.f64 1 y) (sin.f64 y))

Compiler

Compiled 24 to 13 computations (45.8% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite86.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1882×	`add-sqr-sqrt`
1866×	`*-un-lft-identity`
1728×	`add-cube-cbrt`
1698×	`add-cbrt-cube`
192×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	197	28
2	2374	28

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

928×	`associate-+r+`
910×	`associate-+l+`
478×	`unswap-sqr`
426×	`associate-*r/`
342×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1160
1	263	1152
2	877	1134
3	3983	1130

Stop Event

1×	node limit

Counts

74 → 65

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

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 y) x)
✓	0.6b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	7.3b	(/.f64 y (*.f64 (sin.f64 y) x))

Compiler

Compiled 25 to 8 computations (68% saved)

series3.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

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

rewrite84.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1384×	`associate-*r/`
1276×	`associate-/l*`
1032×	`associate-*l/`
986×	`*-commutative`
628×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	204	34
2	2655	34

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

758×	`distribute-rgt-in`
744×	`distribute-lft-in`
608×	`distribute-lft-neg-out`
594×	`distribute-rgt-neg-out`
486×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	4003
1	968	3953
2	3585	3947

Stop Event

1×	node limit

Counts

187 → 220

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

eval138.0ms (2.4%)

Compiler: Compiled 8777 to 4062 computations (53.7% saved)

prune124.0ms (2.2%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	610	8	618
Fresh	1	1	2
Picked	0	1	1
Done	1	4	5
Total	612	14	626

Error

Counts

626 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.2b	(/.f64 (*.f64 (sin.f64 y) x) y)
	36.5b	(/.f64 (*.f64 y x) y)
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	20.9b	(/.f64 x (+.f64 1 (.f64 1/6 (.f64 y y))))
✓	7.7b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
▶	36.6b	(/.f64 1 (/.f64 y (*.f64 y x)))
▶	29.3b	(/.f64 1 (/.f64 1 x))
	29.8b	(+.f64 (.f64 (.f64 y y) (*.f64 x -1/6)) x)
▶	0.1b	(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) x)
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.2b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
	62.4b	(.f64 x (.f64 -1/6 (*.f64 y y)))
▶	62.4b	(.f64 -1/6 (.f64 x (*.f64 y y)))
	29.2b	x

Compiler

Compiled 197 to 135 computations (31.5% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) x)
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.2b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

Compiler

Compiled 32 to 19 computations (40.6% saved)

series2.0ms (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 y) (/.f64 1 (sin.f64 y)))
0.0ms	y	@	0	(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) x)

rewrite115.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1338×	`associate-/r*`
1090×	`*-commutative`
1048×	`associate-/l*`
910×	`unswap-sqr`
654×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	230	39
2	3039	39

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

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

simplify102.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1184×	`distribute-rgt-in`
1178×	`distribute-lft-in`
642×	`associate-/r*`
626×	`associate-/l*`
620×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	478	5781
1	1310	5223
2	5786	5223

Stop Event

1×	node limit

Counts

229 → 288

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

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite55.0ms (1%)

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))))))

simplify44.0ms (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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/6 (.f64 x (*.f64 y y)))
✓	6.5b	(.f64 x (.f64 y y))

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite54.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1542×	`distribute-lft-out`
1272×	`fma-def`
926×	`log-prod`
518×	`unswap-sqr`
452×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1152
1	173	1152
2	705	1152
3	2243	1152
4	4808	1152

Stop Event

1×	node limit

Counts

72 → 33

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 y (*.f64 y x)))
✓	15.5b	(/.f64 y (*.f64 y x))

Compiler

Compiled 20 to 7 computations (65% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 1 (/.f64 y (*.f64 y x)))
0.0ms	y	@	0	(/.f64 y (*.f64 y x))
0.0ms	x	@	-inf	(/.f64 y (*.f64 y x))
0.0ms	y	@	inf	(/.f64 y (*.f64 y x))
0.0ms	y	@	-inf	(/.f64 y (*.f64 y x))

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`add-sqr-sqrt`
1530×	`*-un-lft-identity`
1430×	`add-cube-cbrt`
1408×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	167	8
2	2279	8

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

750×	`distribute-rgt-in`
750×	`distribute-lft-in`
500×	`times-frac`
452×	`cube-prod`
450×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	193	549
1	510	537
2	3112	537

Stop Event

1×	node limit

Counts

131 → 88

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 1/6 (.f64 y y))
✓	4.1b	(/.f64 x (+.f64 1 (.f64 1/6 (.f64 y y))))

Compiler

Compiled 30 to 16 computations (46.7% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite82.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

916×	`*-commutative`
880×	`associate-*r/`
756×	`associate-/r*`
616×	`associate-*l/`
590×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	210	34
2	2701	34

Stop Event

1×	node limit

Counts

2 → 88

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

simplify105.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1726×	`associate-/l*`
1566×	`associate-*r/`
942×	`associate-*l/`
774×	`*-commutative`
754×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	4126
1	694	3852
2	2440	3838

Stop Event

1×	node limit

Counts

124 → 146

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

eval170.0ms (3%)

Compiler: Compiled 8332 to 4698 computations (43.6% saved)

prune122.0ms (2.2%)

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	593	10	603
Fresh	0	4	4
Picked	0	1	1
Done	1	8	9
Total	594	23	617

Error

Counts

617 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.2b	(/.f64 (*.f64 (sin.f64 y) x) y)
	36.5b	(/.f64 (*.f64 y x) y)
▶	20.9b	(/.f64 (neg.f64 x) (+.f64 (.f64 y (.f64 y -1/6)) -1))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	20.9b	(/.f64 x (+.f64 1 (.f64 1/6 (.f64 y y))))
✓	7.7b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	29.3b	(/.f64 1 (/.f64 1 x))
▶	28.8b	(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
▶	38.1b	(-.f64 (+.f64 1 x) 1)
	29.8b	(+.f64 (.f64 (.f64 y y) (*.f64 x -1/6)) x)
✓	0.1b	(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) x)
	20.9b	(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
	29.7b	(*.f64 (/.f64 y 1) (/.f64 x y))
▶	29.3b	(.f64 (.f64 (/.f64 1 y) y) x)
	62.3b	(.f64 y (.f64 x (*.f64 y -1/6)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.2b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
	62.4b	(.f64 x (.f64 y (*.f64 y -1/6)))
▶	62.4b	(.f64 x (.f64 -1/6 (*.f64 y y)))
	53.9b	(.f64 6 (/.f64 x (.f64 y y)))
✓	62.4b	(.f64 -1/6 (.f64 x (*.f64 y y)))
	49.1b	(sqrt.f64 (*.f64 x x))
	29.2b	x

Compiler

Compiled 332 to 230 computations (30.7% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 y (.f64 y -1/6))
✓	0.3b	(*.f64 y -1/6)
✓	4.1b	(/.f64 (neg.f64 x) (+.f64 (.f64 y (.f64 y -1/6)) -1))

Compiler

Compiled 33 to 21 computations (36.4% saved)

series3.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite118.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`*-commutative`
978×	`associate-/r*`
966×	`associate-*r/`
846×	`associate-/l*`
646×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	45
1	259	41
2	3392	41

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

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

Outputs

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

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

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

simplify87.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1584×	`associate-/l*`
1102×	`associate-*r/`
928×	`*-commutative`
810×	`distribute-lft-in`
760×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	4874
1	748	4538
2	2682	4522

Stop Event

1×	node limit

Counts

158 → 192

Calls

Call 1

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.6b	(-.f64 (+.f64 1 x) 1)

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 (+.f64 1 x) 1)
0.0ms	x	@	inf	(-.f64 (+.f64 1 x) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 x) 1)

rewrite85.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1320×	`add-sqr-sqrt`
1304×	`*-un-lft-identity`
1228×	`add-cube-cbrt`
1220×	`add-cbrt-cube`
1212×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	135	1
2	1882	1

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1410×	`distribute-lft-in`
1220×	`fma-def`
1198×	`distribute-rgt-in`
640×	`associate-+r+`
542×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	421
1	228	379
2	1277	363

Stop Event

1×	node limit

Counts

49 → 45

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
(+.f64 1 (*.f64 (+.f64 x -1) 1))
(+.f64 x 0)
(+.f64 (+.f64 1 x) -1)
(+.f64 (+.f64 x -1) 1)
(+.f64 -1 (+.f64 1 x))
(*.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 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(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))
(log1p.f64 (expm1.f64 x))
(fma.f64 1 (+.f64 1 x) -1)
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 1 (+.f64 x -1))
x
(+.f64 1 (*.f64 (+.f64 x -1) 1))
x
(+.f64 x 0)
x
(+.f64 (+.f64 1 x) -1)
x
(+.f64 (+.f64 x -1) 1)
x
(+.f64 -1 (+.f64 1 x))
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 (.f64 (+.f64 x 2) x) (/.f64 1 (+.f64 x 2)))
x
(*.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 x)) 1) (-.f64 (sqrt.f64 (+.f64 1 x)) 1))
x
(/.f64 1 (/.f64 (+.f64 x 2) (*.f64 (+.f64 x 2) x)))
x
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)) (+.f64 (pow.f64 (+.f64 1 x) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(/.f64 (*.f64 (+.f64 x 2) x) (+.f64 x 2))
x
(/.f64 (*.f64 (+.f64 x 2) x) (-.f64 (+.f64 1 x) -1))
x
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1) (+.f64 (pow.f64 (+.f64 1 x) 2) (-.f64 1 (*.f64 (+.f64 1 x) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(/.f64 (-.f64 1 (*.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 1 (+.f64 x -1)))
(/.f64 (+.f64 1 (*.f64 (+.f64 x -1) (-.f64 1 x))) (-.f64 2 x))
(/.f64 (+.f64 x (*.f64 x (-.f64 1 x))) (-.f64 2 x))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (+.f64 x -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (+.f64 (*.f64 (+.f64 x -1) (+.f64 x -1)) (-.f64 2 x)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x -1) 3)) (fma.f64 (+.f64 x -1) (+.f64 x -2) 1))
(/.f64 (neg.f64 (*.f64 (+.f64 x 2) x)) (neg.f64 (+.f64 x 2)))
x
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 x) 2) (+.f64 x 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (+.f64 x 2) (pow.f64 (+.f64 x 1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3)) (+.f64 (*.f64 x (+.f64 x 2)) (+.f64 x 3)))
(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
(log1p.f64 (expm1.f64 x))
x
(fma.f64 1 (+.f64 1 x) -1)
x
(fma.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (+.f64 1 x)) -1)
x
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (cbrt.f64 (+.f64 1 x)) -1)
x

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 -1/6 (.f64 y y))
✓	6.5b	(.f64 x (.f64 -1/6 (*.f64 y y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (1%)

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))))))))

simplify49.0ms (0.9%)

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)))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 20 to 12 computations (40% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite45.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`associate-r`
862×	`add-sqr-sqrt`
846×	`*-un-lft-identity`
800×	`pow1`
788×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	121	1
2	1124	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2× 1-exp

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	13
1	5	13

Stop Event

1×

saturated

Counts

13 → 1

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
1

Outputs
1
1
1
1
1
1
1
1
1
1
1
1
1

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (*.f64 (/.f64 1 y) (/.f64 y x)))
✓	15.2b	(*.f64 (/.f64 1 y) (/.f64 y x))

Compiler

Compiled 27 to 14 computations (48.1% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 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))

rewrite60.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`add-sqr-sqrt`
1800×	`*-un-lft-identity`
1684×	`add-cube-cbrt`
1656×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	193	8
2	2694	8

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify83.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate-+r+`
864×	`associate-+r-`
792×	`associate-+l+`
546×	`*-commutative`
392×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	162	574
1	368	568
2	2120	568
3	5515	568

Stop Event

1×	node limit

Counts

126 → 80

Calls

Call 1

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

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

eval130.0ms (2.3%)

Compiler: Compiled 4957 to 3216 computations (35.1% saved)

prune114.0ms (2%)

Pruning

21 alts after pruning (11 fresh and 10 done)

	Pruned	Kept	Total
New	359	3	362
Fresh	1	8	9
Picked	1	0	1
Done	3	10	13
Total	364	21	385

Error

Counts

385 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	7.2b	(/.f64 (*.f64 (sin.f64 y) x) y)
	36.5b	(/.f64 (*.f64 y x) y)
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	20.9b	(/.f64 x (+.f64 1 (.f64 1/6 (.f64 y y))))
✓	7.7b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	29.3b	(/.f64 1 (/.f64 1 x))
	38.1b	(+.f64 (+.f64 x -1) 1)
	29.8b	(+.f64 (.f64 (.f64 y y) (*.f64 x -1/6)) x)
✓	0.1b	(*.f64 (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))) x)
	20.9b	(.f64 (/.f64 (/.f64 1 y) (+.f64 (/.f64 1 y) (.f64 y 1/6))) x)
	53.8b	(*.f64 (/.f64 x y) (/.f64 6 y))
	29.7b	(*.f64 (/.f64 x y) y)
	62.3b	(.f64 y (.f64 x (*.f64 y -1/6)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.2b	(.f64 x (.f64 (/.f64 1 y) (sin.f64 y)))
	62.4b	(.f64 x (.f64 y (*.f64 y -1/6)))
✓	62.4b	(.f64 x (.f64 -1/6 (*.f64 y y)))
	53.9b	(.f64 6 (/.f64 x (.f64 y y)))
✓	62.4b	(.f64 -1/6 (.f64 x (*.f64 y y)))
	49.1b	(sqrt.f64 (*.f64 x x))
	29.2b	x

Compiler

Compiled 184 to 126 computations (31.5% saved)

regimes58.0ms (1%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

4 calls:

15.0ms	y
14.0ms	x
12.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
11.0ms	(/.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 236 to 130 computations (44.9% saved)

regimes50.0ms (0.9%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

2 calls:

35.0ms	y
11.0ms	x

Results

Error	Segments	Branch
20.9b	1	`x`
20.9b	1	`y`

Compiler

Compiled 160 to 91 computations (43.1% saved)

regimes81.0ms (1.4%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

2 calls:

43.0ms	y
34.0ms	x

Results

Error	Segments	Branch
21.4b	3	`x`
20.8b	3	`y`

Compiler

Compiled 124 to 68 computations (45.2% saved)

bsearch19.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	58029283242111.266	112334649024079340.0
0.0ms	-5.702916428484516e+32	-5.525114195655212e+32

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 189 to 129 computations (31.7% saved)

regimes106.0ms (1.9%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

53.0ms	y
49.0ms	x

Results

Error	Segments	Branch
21.9b	3	`x`
20.8b	3	`y`

Compiler

Compiled 106 to 58 computations (45.3% saved)

bsearch19.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	58029283242111.266	112334649024079340.0
0.0ms	-5.702916428484516e+32	-5.525114195655212e+32

Results

17.0ms

128×

body

256

valid

Compiler

Compiled 189 to 137 computations (27.5% saved)

regimes53.0ms (0.9%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	y
24.0ms	x

Results

Error	Segments	Branch
21.9b	3	`x`
21.1b	3	`y`

Compiler

Compiled 97 to 53 computations (45.4% saved)

bsearch46.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	0.0029709453513004783	58029283242111.266
23.0ms	-31900024458336.45	-0.16370609702691472

Results

42.0ms

320×

body

256

valid

Compiler

Compiled 293 to 209 computations (28.7% saved)

regimes46.0ms (0.8%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

23.0ms	y
20.0ms	x

Results

Error	Segments	Branch
21.9b	3	`x`
21.1b	3	`y`

Compiler

Compiled 76 to 44 computations (42.1% saved)

bsearch47.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	0.0029709453513004783	58029283242111.266
24.0ms	-31900024458336.45	-0.16370609702691472

Results

42.0ms

320×

body

256

valid

Compiler

Compiled 293 to 209 computations (28.7% saved)

regimes31.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
14.0ms	y

Results

Error	Segments	Branch
21.9b	3	`x`
21.4b	3	`y`

Compiler

Compiled 41 to 26 computations (36.6% saved)

bsearch50.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	0.0029709453513004783	58029283242111.266
23.0ms	-2.305562790939808e+49	-2.0476788074775984e+37

Results

45.0ms

320×

body

256

valid

Compiler

Compiled 253 to 209 computations (17.4% saved)

regimes21.0ms (0.4%)

Accuracy

Total -15.1b remaining (-68.9%)

Threshold costs -15.1b (-68.9%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
8.0ms	y

Results

Error	Segments	Branch
21.9b	3	`x`
21.9b	3	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	2.147695297469917e-11	4.072646009425803e-6
2.0ms	-0.16370609702691472	-1.1159887742367797e-9

Results

22.0ms

160×

body

256

valid

Compiler

Compiled 133 to 89 computations (33.1% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative`
10×	`+-commutative`
6×	`if-if-or-not`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	385
1	91	385

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (.f64 1/6 (.f64 y y))))
(if (<=.f64 y -560000000000000015638989537017856) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 95000000000000) (+.f64 (.f64 (.f64 y y) (.f64 x -1/6)) x) (.f64 (/.f64 x y) (/.f64 6 y))))
(if (<=.f64 y -560000000000000015638989537017856) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 53000000000000000) (.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y)))) (.f64 (/.f64 x y) (/.f64 6 y))))
(if (<=.f64 y -5/2) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 5404319552844595/2251799813685248) x (*.f64 (/.f64 x y) (/.f64 6 y))))
(if (<=.f64 y -5/2) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 5404319552844595/2251799813685248) x (.f64 6 (/.f64 x (.f64 y y)))))
(if (<=.f64 y -60999999999999999193457970252538183680) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 7000000) x (+.f64 (+.f64 x -1) 1)))
(if (<=.f64 y -3602879701896397/36028797018963968) (.f64 (/.f64 x y) y) (if (<=.f64 y 3022314549036573/151115727451828646838272) x (.f64 (/.f64 x y) y)))
x

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (.f64 1/6 (.f64 y y))))
(if (<=.f64 y -560000000000000015638989537017856) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 95000000000000) (+.f64 (.f64 (.f64 y y) (.f64 x -1/6)) x) (.f64 (/.f64 x y) (/.f64 6 y))))
(if (<=.f64 y -560000000000000015638989537017856) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 95000000000000) (+.f64 x (.f64 (.f64 y y) (.f64 x -1/6))) (.f64 (/.f64 x y) (/.f64 6 y))))
(if (<=.f64 y -560000000000000015638989537017856) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 53000000000000000) (.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y)))) (.f64 (/.f64 x y) (/.f64 6 y))))
(if (<=.f64 y -560000000000000015638989537017856) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 53000000000000000) (.f64 x (+.f64 1 (.f64 (.f64 y y) -1/6))) (.f64 (/.f64 x y) (/.f64 6 y))))
(if (<=.f64 y -5/2) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 5404319552844595/2251799813685248) x (*.f64 (/.f64 x y) (/.f64 6 y))))
(if (<=.f64 y -5/2) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 5404319552844595/2251799813685248) x (.f64 6 (/.f64 x (.f64 y y)))))
(if (or (<=.f64 y -5/2) (not (<=.f64 y 5404319552844595/2251799813685248))) (.f64 6 (/.f64 x (.f64 y y))) x)
(if (<=.f64 y -60999999999999999193457970252538183680) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 7000000) x (+.f64 (+.f64 x -1) 1)))
(if (or (<=.f64 y -60999999999999999193457970252538183680) (not (<=.f64 y 7000000))) (+.f64 1 (+.f64 x -1)) x)
(if (<=.f64 y -3602879701896397/36028797018963968) (.f64 (/.f64 x y) y) (if (<=.f64 y 3022314549036573/151115727451828646838272) x (.f64 (/.f64 x y) y)))
(if (or (<=.f64 y -3602879701896397/36028797018963968) (not (<=.f64 y 3022314549036573/151115727451828646838272))) (*.f64 y (/.f64 x y)) x)
x

Compiler

Compiled 166 to 109 computations (34.3% saved)

soundness0.0ms (0%)

end70.0ms (1.2%)

Compiler: Compiled 150 to 83 computations (44.7% saved)