Details

analyze68.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	7
70.3%	70.2%	29.7%	0.1%	0%	0%	0%	8
78.1%	78%	21.9%	0.1%	0%	0%	0%	9
83.2%	83.1%	16.8%	0.1%	0%	0%	0%	10
88.3%	88.2%	11.7%	0.1%	0%	0%	0%	11
91.1%	91%	8.9%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.9s (30.3%)

Results

948.0ms	6104×	body	256	valid
677.0ms	1341×	body	1024	valid
240.0ms	807×	body	512	valid
2.0ms	4×	body	2048	valid

Bogosity

preprocess19.0ms (0.3%)

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)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series6.0ms (0.1%)

Counts

3 → 32

Calls

12 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	@	0	(/.f64 (sin.f64 y) y)
1.0ms	y	@	0	(*.f64 x (/.f64 (sin.f64 y) y))
1.0ms	y	@	inf	(*.f64 x (/.f64 (sin.f64 y) y))

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	163	33
2	2118	33

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

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

Outputs

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

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1458×	`associate-/r*`
964×	`*-commutative`
818×	`distribute-lft-in`
796×	`distribute-rgt-in`
524×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	1584
1	456	1560
2	2385	1558

Stop Event

1×	node limit

Counts

104 → 111

Calls

Call 1

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

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

eval38.0ms (0.6%)

Compiler: Compiled 1221 to 567 computations (53.6% saved)

prune23.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	102	10	112

Error

Counts

112 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	24.3b	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
	37.9b	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
▶	27.0b	(/.f64 (/.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
▶	7.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	0.4b	(/.f64 x (/.f64 y (sin.f64 y)))
	7.8b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
	6.2b	(*.f64 (/.f64 x y) (sin.f64 y))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	32.2b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	31.6b	x

Compiler

Compiled 175 to 115 computations (34.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(/.f64 y (sin.f64 y))
✓	0.4b	(/.f64 x (/.f64 y (sin.f64 y)))

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

Outputs

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

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

simplify55.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

102 → 103

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (.f64 -1/6 (.f64 y y)))
✓	0.2b	(.f64 -1/6 (.f64 y y))
✓	4.6b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))

Compiler

Compiled 30 to 16 computations (46.7% saved)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite83.0ms (1.3%)

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	57
1	209	49
2	2634	49

Stop Event

1×	node limit

Counts

3 → 149

Calls

Call 1

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

Outputs

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(#(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 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#<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 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((#(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))))))))

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1)))))

simplify104.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1428×	`associate-/r*`
862×	`associate-*r/`
778×	`associate-+l+`
654×	`associate-*l/`
610×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	385	7839
1	1018	7159
2	3778	6967

Stop Event

1×	node limit

Counts

197 → 250

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

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 (.f64 -1/6 (*.f64 y y)) x)
(.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 (.f64 -1/6 (*.f64 y y)) x)
(.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))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(*.f64 -1/6 (pow.f64 y 2))
(.f64 -1/6 (.f64 y y))
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.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 (-.f64 (exp.f64 (log1p.f64 x)) 1) (.f64 (.f64 -1/6 (*.f64 y y)) x))
(fma.f64 -1/6 (.f64 y (.f64 y x)) (expm1.f64 (log1p.f64 x)))
(-.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 (-.f64 (exp.f64 (log1p.f64 x)) 1) (.f64 (.f64 -1/6 (*.f64 y y)) x))
(fma.f64 -1/6 (.f64 y (.f64 y x)) (expm1.f64 (log1p.f64 x)))
(/.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 x (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (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 (+.f64 1 (.f64 -1/216 (pow.f64 y 6))) (+.f64 1 (.f64 y (.f64 y (fma.f64 (*.f64 y y) 1/36 1/6))))) x)
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1) x))
(.f64 x (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y 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 (+.f64 1 (.f64 -1/216 (pow.f64 y 6))) (+.f64 1 (.f64 y (.f64 y (fma.f64 (*.f64 y y) 1/36 1/6))))) x)
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1) x))
(.f64 x (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y 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 x (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (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 (.f64 -1/6 (.f64 y y)) x) 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 y (.f64 y x)) 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))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/6 (.f64 y y)) x) 3)) (fma.f64 x x (.f64 (.f64 y y) (.f64 (.f64 -1/6 x) (-.f64 (.f64 (.f64 -1/6 (.f64 y y)) x) x)))))
(/.f64 (fma.f64 (pow.f64 y 6) (.f64 -1/216 (pow.f64 x 3)) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 x (.f64 -1/6 (.f64 y y))) (-.f64 (.f64 x (.f64 -1/6 (.f64 y y))) 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 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 (fma.f64 (pow.f64 y 4) 1/36 -1) (/.f64 (fma.f64 -1/6 (*.f64 y y) -1) 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)))))
(/.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 (fma.f64 (pow.f64 y 4) 1/36 -1) (/.f64 (fma.f64 -1/6 (*.f64 y y) -1) 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)))))
(/.f64 x (/.f64 (-.f64 -1 (.f64 y (.f64 y (fma.f64 (.f64 y y) 1/36 1/6)))) (+.f64 -1 (.f64 (pow.f64 y 6) 1/216))))
(/.f64 x (/.f64 (-.f64 -1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 1/6))) (fma.f64 (pow.f64 y 6) 1/216 -1)))
(.f64 (/.f64 x (fma.f64 (.f64 y (neg.f64 y)) (fma.f64 (*.f64 y y) 1/36 1/6) -1)) (fma.f64 (pow.f64 y 6) 1/216 -1))
(/.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 x (/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (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 (+.f64 1 (.f64 -1/216 (pow.f64 y 6))) (+.f64 1 (.f64 y (.f64 y (fma.f64 (*.f64 y y) 1/36 1/6))))) x)
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (/.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1) x))
(.f64 x (/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 (.f64 y y) (fma.f64 (*.f64 y 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 (.f64 -1/6 (.f64 y y)) x) 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 y (.f64 y x)) 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))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 (.f64 -1/6 (.f64 y y)) x) 3)) (fma.f64 x x (.f64 (.f64 y y) (.f64 (.f64 -1/6 x) (-.f64 (.f64 (.f64 -1/6 (.f64 y y)) x) x)))))
(/.f64 (fma.f64 (pow.f64 y 6) (.f64 -1/216 (pow.f64 x 3)) (pow.f64 x 3)) (fma.f64 x x (.f64 (.f64 x (.f64 -1/6 (.f64 y y))) (-.f64 (.f64 x (.f64 -1/6 (.f64 y y))) 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 (.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 (sqrt.f64 (+.f64 1 (.f64 -1/216 (pow.f64 y 6)))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 y (.f64 y (fma.f64 (.f64 y y) 1/36 1/6))))) (.f64 x (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 -1/216 (pow.f64 y 6) 1)) (sqrt.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1))) (.f64 x (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6)))))
(.f64 (/.f64 x (/.f64 (sqrt.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1)) (sqrt.f64 (fma.f64 -1/216 (pow.f64 y 6) 1)))) (hypot.f64 1 (.f64 y (sqrt.f64 -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 x (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 y (.f64 y 1/6)))) (sqrt.f64 (+.f64 1 (*.f64 (pow.f64 y 4) -1/36)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1)) (sqrt.f64 (fma.f64 y (.f64 y 1/6) 1))) (.f64 x (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1)) (sqrt.f64 (fma.f64 y (.f64 y 1/6) 1))) (hypot.f64 1 (.f64 y (sqrt.f64 -1/6)))) 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)))))
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(/.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)))) 1) (+.f64 -1 (neg.f64 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) 1/6)))))
(/.f64 (+.f64 -1 (.f64 (pow.f64 y 6) 1/216)) (-.f64 -1 (.f64 y (.f64 y (fma.f64 (.f64 y y) 1/36 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) 1/216 -1) (-.f64 -1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) 1/216 -1) (fma.f64 (.f64 y (neg.f64 y)) (fma.f64 (.f64 y y) 1/36 1/6) -1))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (.f64 -1/216 (pow.f64 y 6)))) (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 (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 y (.f64 y (fma.f64 (.f64 y y) 1/36 1/6))))))
(.f64 (/.f64 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (sqrt.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1))) (sqrt.f64 (fma.f64 -1/216 (pow.f64 y 6) 1)))
(/.f64 (.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 (hypot.f64 1 (.f64 y (sqrt.f64 -1/6))) (/.f64 (sqrt.f64 (+.f64 1 (.f64 y (.f64 y 1/6)))) (sqrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 (pow.f64 y 4) -1/36 1)) (sqrt.f64 (fma.f64 y (.f64 y 1/6) 1))) (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))))
(/.f64 (.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 (.f64 y y) (+.f64 (.f64 (*.f64 y y) 1/36) 1/6)))))
(/.f64 (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 (cbrt.f64 (fma.f64 -1/216 (pow.f64 y 6) 1)) (cbrt.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2) (cbrt.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1))) (cbrt.f64 (fma.f64 -1/216 (pow.f64 y 6) 1)))
(/.f64 (.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 (cbrt.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36))) (/.f64 (cbrt.f64 (+.f64 1 (.f64 y (.f64 y 1/6)))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)))
(.f64 (/.f64 (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 (cbrt.f64 (fma.f64 y (.f64 y 1/6) 1)) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (.f64 y y) 1)) 2)))
(/.f64 (.f64 (-.f64 1 (.f64 1/1296 (pow.f64 y 8))) (/.f64 1 (+.f64 1 (.f64 y (.f64 y 1/6))))) (+.f64 1 (*.f64 1/36 (pow.f64 y 4))))
(/.f64 (+.f64 1 (.f64 -1/1296 (pow.f64 y 8))) (.f64 (+.f64 1 (.f64 y (.f64 y 1/6))) (+.f64 1 (*.f64 (pow.f64 y 4) 1/36))))
(/.f64 (+.f64 1 (.f64 (pow.f64 y 8) -1/1296)) (.f64 (fma.f64 y (*.f64 y 1/6) 1) (fma.f64 (pow.f64 y 4) 1/36 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/36 (pow.f64 y 4)) 3)) (/.f64 1 (+.f64 1 (.f64 y (.f64 y 1/6))))) (+.f64 (+.f64 1 (.f64 1/1296 (pow.f64 y 8))) (.f64 1/36 (pow.f64 y 4))))
(/.f64 (/.f64 (-.f64 1 (.f64 1/46656 (pow.f64 (pow.f64 y 4) 3))) (+.f64 1 (.f64 y (.f64 y 1/6)))) (+.f64 (.f64 (pow.f64 y 4) 1/36) (+.f64 1 (*.f64 1/1296 (pow.f64 y 8)))))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 6) -1/46656)) (.f64 (fma.f64 y (.f64 y 1/6) 1) (fma.f64 (pow.f64 y 4) 1/36 (fma.f64 1/1296 (pow.f64 y 8) 1))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 (.f64 y y) 6) 1/46656)) (/.f64 1 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) 1/6))))) (+.f64 1 (.f64 1/216 (pow.f64 y 6))))
(/.f64 (/.f64 (-.f64 1 (.f64 (pow.f64 (.f64 y y) 6) 1/46656)) (+.f64 1 (.f64 y (.f64 y (fma.f64 (.f64 y y) 1/36 1/6))))) (+.f64 1 (.f64 (pow.f64 y 6) 1/216)))
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 6) -1/46656)) (.f64 (fma.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 1/6) 1) (fma.f64 (pow.f64 y 6) 1/216 1)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 -1/216 (pow.f64 y 6)) 3)) (/.f64 1 (+.f64 1 (.f64 (.f64 y y) (+.f64 (.f64 (.f64 y y) 1/36) 1/6))))) (-.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 6) 1/46656)) (*.f64 -1/216 (pow.f64 y 6))))
(/.f64 (+.f64 1 (.f64 -1/10077696 (pow.f64 (pow.f64 y 6) 3))) (.f64 (+.f64 1 (.f64 y (.f64 y (fma.f64 (.f64 y y) 1/36 1/6)))) (+.f64 (+.f64 1 (.f64 (pow.f64 (.f64 y y) 6) 1/46656)) (.f64 (pow.f64 y 6) 1/216))))
(/.f64 (fma.f64 -1/10077696 (pow.f64 (pow.f64 y 6) 3) 1) (.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1) (+.f64 1 (fma.f64 (pow.f64 (.f64 y y) 6) 1/46656 (*.f64 (pow.f64 y 6) 1/216)))))
(/.f64 (/.f64 (fma.f64 -1/10077696 (pow.f64 (pow.f64 y 6) 3) 1) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1)) (+.f64 1 (fma.f64 (pow.f64 (.f64 y y) 6) 1/46656 (.f64 (pow.f64 y 6) 1/216))))
(/.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) 1) (+.f64 1 (.f64 y (*.f64 y 1/6))))
(-.f64 (/.f64 1 (+.f64 1 (.f64 y (.f64 y 1/6)))) (/.f64 1/36 (/.f64 (+.f64 1 (.f64 y (.f64 y 1/6))) (pow.f64 y 4))))
(+.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) (/.f64 -1/36 (/.f64 (fma.f64 y (.f64 y 1/6) 1) (pow.f64 y 4))))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (+.f64 1 (.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 1 (+.f64 1 (.f64 y (.f64 y 1/6)))) (/.f64 1/36 (/.f64 (+.f64 1 (.f64 y (.f64 y 1/6))) (pow.f64 y 4))))
(+.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) (/.f64 -1/36 (/.f64 (fma.f64 y (.f64 y 1/6) 1) (pow.f64 y 4))))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (+.f64 1 (.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 1 (+.f64 1 (.f64 y (.f64 y 1/6)))) (/.f64 1/36 (/.f64 (+.f64 1 (.f64 y (.f64 y 1/6))) (pow.f64 y 4))))
(+.f64 (/.f64 1 (fma.f64 y (.f64 y 1/6) 1)) (/.f64 -1/36 (/.f64 (fma.f64 y (.f64 y 1/6) 1) (pow.f64 y 4))))
(/.f64 (fma.f64 (pow.f64 y 4) -1/36 1) (fma.f64 y (*.f64 y 1/6) 1))
(/.f64 (/.f64 (+.f64 1 (.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 1 (+.f64 1 (.f64 y (.f64 y (fma.f64 (*.f64 y y) 1/36 1/6))))))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1))
(/.f64 (/.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))))) (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 1 (+.f64 1 (.f64 y (.f64 y (fma.f64 (*.f64 y y) 1/36 1/6))))))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1))
(/.f64 (/.f64 (+.f64 1 (.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 1 (+.f64 1 (.f64 y (.f64 y (fma.f64 (*.f64 y y) 1/36 1/6))))))
(/.f64 (fma.f64 -1/216 (pow.f64 y 6) 1) (fma.f64 (.f64 y y) (fma.f64 (.f64 y y) 1/36 1/6) 1))
(pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (hypot.f64 1 (*.f64 y (sqrt.f64 -1/6))) 2)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (*.f64 y y) 1)) 3)
(fma.f64 -1/6 (*.f64 y y) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3) 1/3)
(fma.f64 -1/6 (*.f64 y y) 1)
(neg.f64 (/.f64 (+.f64 1 (.f64 (pow.f64 y 4) -1/36)) (+.f64 -1 (neg.f64 (.f64 y (*.f64 y 1/6))))))
(/.f64 (fma.f64 1/36 (pow.f64 y 4) -1) (fma.f64 -1/6 (*.f64 y y) -1))
(/.f64 (fma.f64 (pow.f64 y 4) 1/36 -1) (fma.f64 -1/6 (*.f64 y y) -1))
(neg.f64 (/.f64 (+.f64 1 (.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 (pow.f64 y 6) 1/216)) (-.f64 -1 (.f64 y (.f64 y (fma.f64 (.f64 y y) 1/36 1/6)))))
(/.f64 (fma.f64 (pow.f64 y 6) 1/216 -1) (-.f64 -1 (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/36 1/6))))
(/.f64 (fma.f64 (pow.f64 y 6) 1/216 -1) (fma.f64 (.f64 y (neg.f64 y)) (fma.f64 (.f64 y y) 1/36 1/6) -1))
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 2))
(fabs.f64 (fma.f64 -1/6 (*.f64 y y) 1))
(log.f64 (exp.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1))))
(fma.f64 -1/6 (*.f64 y y) 1)
(cbrt.f64 (pow.f64 (fma.f64 -1/6 (*.f64 y y) 1) 3))
(fma.f64 -1/6 (*.f64 y y) 1)
(expm1.f64 (log1p.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(exp.f64 (log1p.f64 (.f64 -1/6 (.f64 y y))))
(log1p.f64 (expm1.f64 (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 1 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(fma.f64 (.f64 y (sqrt.f64 -1/6)) (.f64 y (sqrt.f64 -1/6)) 1)
(+.f64 (pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2) 1)
(+.f64 1 (pow.f64 (*.f64 y (sqrt.f64 -1/6)) 2))
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 y 4))) (cbrt.f64 (.f64 -1/6 (*.f64 y y))) 1)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 y 4) 1/36)) (cbrt.f64 (.f64 -1/6 (*.f64 y y))) 1)
(fma.f64 (*.f64 -1/6 y) y 1)
(fma.f64 -1/6 (*.f64 y y) 1)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	7.4b	(/.f64 (*.f64 (sin.f64 y) x) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series7.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite61.0ms (1%)

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)))))))

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 86

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.3b	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
✓	8.3b	(sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series13.0ms (0.2%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
1.0ms	y	@	-inf	(sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)

rewrite83.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

964×	`*-commutative`
924×	`associate-*r/`
802×	`associate-/r*`
720×	`associate-*l/`
684×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	228	38
2	2573	38

Stop Event

1×	node limit

Counts

2 → 211

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)

Outputs

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

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

simplify108.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1176×	`associate-/l*`
798×	`distribute-rgt-in`
790×	`distribute-lft-in`
688×	`associate-l`
650×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	7191
1	1226	6783
2	5318	6717

Stop Event

1×	node limit

Counts

219 → 306

Calls

Call 1

Inputs
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (pow.f64 y 2) (sqrt.f64 x))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/120 x) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 x)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/5040 x) (.f64 -1/12 (-.f64 (.f64 1/120 x) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2))))) (sqrt.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/120 x) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (pow.f64 y 2) (sqrt.f64 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 (-.f64 (+.f64 (.f64 1/144 x) (.f64 1/120 x)) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/144 x) (.f64 1/120 x)) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))) 1)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 1)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (pow.f64 1 1/2))
(*.f64 1 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4) (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2) 1/2))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4)) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 3/2) 1/6) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 3/2) 1/6))
(/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) (sqrt.f64 y))
(/.f64 (.f64 1 (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (cbrt.f64 (.f64 x (sin.f64 y)))) (cbrt.f64 y))
(/.f64 (.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 1) (sqrt.f64 y))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 x)) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))) (cbrt.f64 y))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 1) (sqrt.f64 y))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) 3)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x 1))
(*.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 1 (/.f64 (sin.f64 y) (/.f64 y x)))
(.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4)))
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 x)))
(.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (/.f64 x (cbrt.f64 (/.f64 y (sin.f64 y)))))
(.f64 (cbrt.f64 x) (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (*.f64 x x))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x)))
(.f64 (.f64 x (sin.f64 y)) (/.f64 1 y))
(.f64 (/.f64 1 y) (.f64 x (sin.f64 y)))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4)) (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1/4))
(.f64 (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 x)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 y (sin.f64 y))) (sqrt.f64 x))
(.f64 (.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 x y) (sin.f64 y))
(.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 x (cbrt.f64 (/.f64 y (sin.f64 y)))) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(*.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 x 1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))
(*.f64 (/.f64 x (/.f64 y (sqrt.f64 (sin.f64 y)))) (sqrt.f64 (sin.f64 y)))
(*.f64 (/.f64 x (/.f64 y (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (/.f64 (sin.f64 y) (/.f64 y x)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))))
(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))) (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))))))
(.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (/.f64 1 y))) (.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (/.f64 1 y))))
(.f64 (.f64 (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) (sqrt.f64 (/.f64 1 y))) (.f64 (*.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) (sqrt.f64 (/.f64 1 y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 3/2) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 2) 1/4) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 3) 1/6))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 1)
(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 y (*.f64 (sin.f64 y) (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 (*.f64 x x))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (/.f64 y (sin.f64 y)) (cbrt.f64 x)))
(/.f64 (cbrt.f64 (.f64 x x)) (/.f64 y (.f64 (sin.f64 y) (cbrt.f64 x))))
(/.f64 (*.f64 x (sin.f64 y)) y)
(/.f64 (*.f64 x (sin.f64 y)) (/.f64 y 1))
(/.f64 (neg.f64 (sin.f64 y)) (/.f64 (neg.f64 y) x))
(/.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (/.f64 y (sqrt.f64 (.f64 x (sin.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (.f64 x (sin.f64 y)))) (/.f64 y (cbrt.f64 (.f64 x (sin.f64 y)))))
(/.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x y) (/.f64 1 (sin.f64 y)))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) y)
(/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x)) (/.f64 y (.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 x))))
(/.f64 (/.f64 x 1) (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) 1)) y)
(/.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 x -1) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (/.f64 1 x))) y)
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x))) (sqrt.f64 y))
(/.f64 (*.f64 1 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x))) (cbrt.f64 y))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2) (cbrt.f64 (.f64 x (sin.f64 y)))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 x (sin.f64 y)) (/.f64 1 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 x (sin.f64 y)) (/.f64 1 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 x (sin.f64 y)) -1) (neg.f64 y))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) 1) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (neg.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) 1) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (.f64 (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (cbrt.f64 (neg.f64 (sin.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 x)) 1) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (*.f64 (/.f64 x 1) (sin.f64 y)) y)
(/.f64 (*.f64 (/.f64 x 1) 1) (/.f64 y (sin.f64 y)))
(/.f64 (*.f64 (/.f64 x 1) (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (*.f64 (/.f64 x 1) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (*.f64 (/.f64 x 1) (neg.f64 (sin.f64 y))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) 1)) y)
(/.f64 (*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 x 1) -1) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sin.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (sin.f64 y)) (cbrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) x) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) x) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))
(/.f64 (*.f64 -1 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 x)) 1) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) 1) y)
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (sqrt.f64 y))
(/.f64 (.f64 1 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2)) (cbrt.f64 y))
(/.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))) (cbrt.f64 y))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))) (cbrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 1 (sqrt.f64 (sin.f64 y)))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) 1) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (.f64 (sin.f64 y) (neg.f64 x)) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) -1) y)
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) 1) y)
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) x))
(neg.f64 (*.f64 x (/.f64 (sin.f64 y) (neg.f64 y))))
(neg.f64 (*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y x))))

Outputs
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (pow.f64 y 2) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (sqrt.f64 x) (*.f64 y y))))
(fma.f64 -1/12 (.f64 (sqrt.f64 x) (.f64 y y)) (sqrt.f64 x))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/120 x) (pow.f64 (.f64 -1/12 (sqrt.f64 x)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/12 (*.f64 (pow.f64 y 2) (sqrt.f64 x)))))
(fma.f64 1/2 (.f64 (-.f64 (.f64 x 1/120) (pow.f64 (.f64 (sqrt.f64 x) -1/12) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 x)))) (+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (sqrt.f64 x) (*.f64 y y)))))
(fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 x 1/120) (.f64 x 1/144)) (sqrt.f64 (/.f64 1 x)))) (fma.f64 -1/12 (.f64 (sqrt.f64 x) (.f64 y y)) (sqrt.f64 x)))
(fma.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (.f64 x 1/720) (sqrt.f64 (/.f64 1 x)))) (fma.f64 -1/12 (.f64 (sqrt.f64 x) (*.f64 y y)) (sqrt.f64 x)))
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(/.f64 (.f64 (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (cbrt.f64 (sin.f64 y))) (cbrt.f64 y))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2)) (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))) x))
(/.f64 (.f64 (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (cbrt.f64 (neg.f64 (sin.f64 y)))) (cbrt.f64 (neg.f64 y)))
(/.f64 (*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (/.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 (sin.f64 y)))))
(.f64 (/.f64 (.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))) (cbrt.f64 (neg.f64 y))) (cbrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 x)) 1) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 x)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (sqrt.f64 x)) (sqrt.f64 (neg.f64 (sin.f64 y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y)))) (/.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 (sin.f64 y)))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (sin.f64 y))))
(/.f64 (*.f64 (/.f64 x 1) (sin.f64 y)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 x 1) 1) (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 x 1) (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 x (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (.f64 x (sqrt.f64 (sin.f64 y))) y))
(/.f64 (*.f64 (/.f64 x 1) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (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 (cbrt.f64 (sin.f64 y)) (/.f64 x y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(/.f64 (*.f64 (/.f64 x 1) (neg.f64 (sin.f64 y))) (neg.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) 1)) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 x 1) -1) (/.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (sin.f64 y)) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (sin.f64 y)) (cbrt.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) 1) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) x) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) x) (cbrt.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 -1 x) (/.f64 (neg.f64 y) (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (.f64 (sin.f64 y) (neg.f64 x)) 1) (neg.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) 1) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (*.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (/.f64 (sqrt.f64 y) (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y)))))
(.f64 (/.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 y)) (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 1 (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(/.f64 x (/.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 (sqrt.f64 (sin.f64 y)) (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 y))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 y) (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (sqrt.f64 y)) (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (neg.f64 y)) (*.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y)))))
(.f64 (/.f64 (sqrt.f64 (neg.f64 (sin.f64 y))) (sqrt.f64 (neg.f64 y))) (.f64 x (sqrt.f64 (/.f64 (sin.f64 y) y))))
(/.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) 2)) (cbrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) 2) (/.f64 (cbrt.f64 y) (cbrt.f64 (.f64 x (sin.f64 y)))))
(/.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x))) (cbrt.f64 (sqrt.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))) (cbrt.f64 y))
(/.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (/.f64 (cbrt.f64 y) (.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y))) (cbrt.f64 (sqrt.f64 (.f64 x (/.f64 (sin.f64 y) y)))))))
(.f64 (/.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 y)) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))) 4))
(/.f64 (*.f64 x (/.f64 (sin.f64 y) (cbrt.f64 y))) (pow.f64 (cbrt.f64 y) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 x (*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (cbrt.f64 (/.f64 y (sin.f64 y))))) (cbrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 x (/.f64 1 (sqrt.f64 (sin.f64 y)))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 x (/.f64 (/.f64 y (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))))
(.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (.f64 x (sqrt.f64 (sin.f64 y))) y))
(/.f64 (/.f64 x (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 y (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 (cbrt.f64 (sin.f64 y)) (/.f64 x y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 y)) (sqrt.f64 (sin.f64 y))) (sqrt.f64 y)) (sqrt.f64 (sin.f64 y)))
(/.f64 x (*.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 y) (sqrt.f64 (sin.f64 y)))))
(/.f64 (/.f64 x (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(.f64 (/.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 y)) (cbrt.f64 (sin.f64 y)))
(.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (.f64 (/.f64 x (sqrt.f64 y)) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (sqrt.f64 y)))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y)))) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))))
(/.f64 x (*.f64 (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (sin.f64 y)))))
(*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (sqrt.f64 (sin.f64 y)))))
(/.f64 (/.f64 x (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))) (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))))
(/.f64 x (*.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (sin.f64 y))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))
(*.f64 (cbrt.f64 (sin.f64 y)) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2))))
(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) 1) (neg.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (sqrt.f64 y)) (neg.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (neg.f64 (cbrt.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (sqrt.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (.f64 (sin.f64 y) (neg.f64 x)) (.f64 (cbrt.f64 (neg.f64 y)) (cbrt.f64 (neg.f64 y)))) (cbrt.f64 (neg.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) -1) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 (sqrt.f64 y))) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 (*.f64 (sin.f64 y) (neg.f64 x)) (neg.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) 1) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 1 x)) (cbrt.f64 y)) (pow.f64 (cbrt.f64 y) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) 1) (sqrt.f64 y))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) (cbrt.f64 y)) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (.f64 (sin.f64 y) (/.f64 x (sqrt.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(/.f64 (.f64 x (sin.f64 y)) (.f64 (sqrt.f64 y) (sqrt.f64 y)))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (sqrt.f64 y) x)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))) (sqrt.f64 (cbrt.f64 y)))
(/.f64 (.f64 (sin.f64 y) (/.f64 x (sqrt.f64 y))) (.f64 (sqrt.f64 (cbrt.f64 y)) (sqrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(*.f64 (/.f64 (sin.f64 y) (sqrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 x (sqrt.f64 y)) (fabs.f64 (cbrt.f64 y))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) 1) (cbrt.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (sqrt.f64 (cbrt.f64 y))) (sqrt.f64 (cbrt.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (sqrt.f64 y))) (cbrt.f64 (sqrt.f64 y)))
(/.f64 (/.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (.f64 (cbrt.f64 (sqrt.f64 y)) (cbrt.f64 (sqrt.f64 y))))
(*.f64 (/.f64 x (cbrt.f64 (sqrt.f64 y))) (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (sqrt.f64 y))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(/.f64 (/.f64 (/.f64 (*.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 (/.f64 x (cbrt.f64 (cbrt.f64 y))) (/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 y) 2))))
(/.f64 (/.f64 (/.f64 (sin.f64 y) (/.f64 (pow.f64 (cbrt.f64 y) 2) x)) (*.f64 (cbrt.f64 (cbrt.f64 y)) (cbrt.f64 (cbrt.f64 y)))) (cbrt.f64 (cbrt.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) (neg.f64 y)) x))
(*.f64 x (/.f64 (sin.f64 y) y))
(neg.f64 (*.f64 x (/.f64 (sin.f64 y) (neg.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(neg.f64 (*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) (neg.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(neg.f64 (/.f64 (*.f64 x (sin.f64 y)) (neg.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 2))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 2) 1/2)
(fabs.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y x)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) (/.f64 y x)) 3))
(*.f64 x (/.f64 (sin.f64 y) y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(*.f64 x (/.f64 (sin.f64 y) y))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 x (/.f64 (sin.f64 y) y))

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 y)
✓	2.7b	(/.f64 (/.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 y y))) (cbrt.f64 y))
✓	4.9b	(/.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 y y)))
✓	30.6b	(cbrt.f64 (*.f64 y y))

Compiler

Compiled 40 to 9 computations (77.5% saved)

series8.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

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

rewrite104.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`unswap-sqr`
876×	`swap-sqr`
652×	`associate-/r/`
630×	`associate-/l/`
464×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	245	60
2	3441	60

Stop Event

1×	node limit

Counts

4 → 249

Calls

Call 1

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

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

simplify122.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1314×	`associate-r`
1286×	`distribute-lft-neg-in`
1074×	`associate-l`
936×	`associate-/l*`
918×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	7931
1	1606	7607
2	6689	7447

Stop Event

1×	node limit

Counts

285 → 326

Calls

Call 1

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

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

eval287.0ms (4.6%)

Compiler: Compiled 20631 to 9426 computations (54.3% saved)

prune247.0ms (4%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	1203	6	1209
Fresh	1	3	4
Picked	1	0	1
Done	0	5	5
Total	1205	14	1219

Error

Counts

1219 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.3b	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
✓	7.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	39.0b	(/.f64 (*.f64 y x) y)
	5.9b	(/.f64 (sin.f64 y) (/.f64 y x))
▶	0.4b	(/.f64 x (pow.f64 (/.f64 (sin.f64 y) y) -1))
✓	0.4b	(/.f64 x (/.f64 y (sin.f64 y)))
	22.4b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
▶	7.8b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
▶	32.2b	(+.f64 (.f64 (.f64 y y) (*.f64 x -1/6)) x)
▶	6.2b	(*.f64 (/.f64 x y) (sin.f64 y))
	62.4b	(.f64 (.f64 -1/6 (*.f64 y y)) x)
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	32.2b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	31.6b	x

Compiler

Compiled 197 to 131 computations (33.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(pow.f64 (/.f64 (sin.f64 y) y) -1)
✓	0.4b	(/.f64 x (pow.f64 (/.f64 (sin.f64 y) y) -1))

Compiler

Compiled 25 to 10 computations (60% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite75.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`associate-*r/`
1200×	`associate-/l*`
942×	`*-commutative`
858×	`associate-*l/`
582×	`swap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	212	28
2	2766	28

Stop Event

1×	node limit

Counts

2 → 219

Calls

Call 1

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

Outputs

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

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

570×	`distribute-rgt-in`
560×	`distribute-lft-neg-in`
554×	`distribute-lft-in`
530×	`associate-/l*`
514×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	505	4821
1	1246	4769
2	4304	4769

Stop Event

1×	node limit

Counts

255 → 287

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.1b	(/.f64 (*.f64 y x) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

65 → 48

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 y y) (*.f64 x -1/6)) x)
✓	0.3b	(*.f64 x -1/6)
✓	7.5b	(.f64 (.f64 y y) (*.f64 x -1/6))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series4.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite79.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

956×	`*-commutative`
828×	`unswap-sqr`
590×	`swap-sqr`
388×	`distribute-lft-in`
384×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	47
1	196	47
2	2591	47

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

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

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

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

simplify104.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1740×	`associate-*r/`
1392×	`associate-*l/`
696×	`associate-/r/`
530×	`associate-/l/`
516×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	354	8506
1	973	7960
2	3977	7960

Stop Event

1×	node limit

Counts

188 → 223

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	5.9b	(*.f64 (/.f64 x y) (sin.f64 y))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 39

Calls

Call 1

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

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

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
✓	0.1b	(*.f64 x (sin.f64 y))
✓	0.6b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
✓	7.4b	(/.f64 y (*.f64 x (sin.f64 y)))

Compiler

Compiled 25 to 8 computations (68% saved)

series3.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite82.0ms (1.3%)

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	51
1	204	45
2	2655	45

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1260×	`distribute-rgt-in`
1240×	`distribute-lft-in`
566×	`associate-r`
502×	`associate-*r/`
484×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	438	5288
1	1137	5178
2	4729	5178

Stop Event

1×	node limit

Counts

260 → 274

Calls

Call 1

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

eval278.0ms (4.5%)

Compiler: Compiled 17021 to 8349 computations (50.9% saved)

prune292.0ms (4.7%)

Pruning

21 alts after pruning (13 fresh and 8 done)

	Pruned	Kept	Total
New	988	9	997
Fresh	0	4	4
Picked	0	1	1
Done	2	7	9
Total	990	21	1011

Error

Counts

1011 → 21

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.3b	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
✓	7.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	39.0b	(/.f64 (*.f64 y x) y)
	5.9b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.4b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	0.4b	(/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y)))
	22.4b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
✓	7.8b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
	31.6b	(/.f64 1 (/.f64 1 x))
	37.9b	(-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)
	32.1b	(+.f64 (.f64 y (.f64 y (*.f64 -1/6 x))) x)
✓	6.2b	(*.f64 (/.f64 x y) (sin.f64 y))
▶	29.7b	(*.f64 (/.f64 x y) y)
▶	39.0b	(.f64 (/.f64 1 y) (.f64 y x))
	62.4b	(.f64 (.f64 -1/6 (*.f64 y y)) x)
▶	29.2b	(*.f64 y (/.f64 1 (/.f64 y x)))
	29.8b	(.f64 y (.f64 x (/.f64 1 y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	32.2b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
▶	31.6b	(.f64 x (.f64 y (/.f64 1 y)))
	31.6b	x

Compiler

Compiled 294 to 199 computations (32.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 y)
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(/.f64 1 (/.f64 (sin.f64 y) y))
✓	0.4b	(/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y)))

Compiler

Compiled 25 to 10 computations (60% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`associate-*l/`
1476×	`associate-/l*`
1022×	`*-commutative`
618×	`swap-sqr`
556×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	210	28
2	2815	28

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

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

Outputs

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

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

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1822×	`unswap-sqr`
1150×	`associate-/l/`
982×	`associate-/r/`
750×	`distribute-rgt-in`
738×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	325	3438
1	836	3356
2	3283	3356

Stop Event

1×	node limit

Counts

172 → 192

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.1b	(*.f64 (/.f64 x y) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`add-sqr-sqrt`
1382×	`*-un-lft-identity`
1286×	`add-cube-cbrt`
1264×	`add-cbrt-cube`
1252×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	126	13
2	1698	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify58.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1154×	`associate-r`
1070×	`times-frac`
960×	`associate-l`
816×	`associate-+l+`
764×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	46
1	140	46
2	576	46
3	6081	46

Stop Event

1×	node limit

Counts

46 → 23

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 y (/.f64 1 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 y (/.f64 1 y))
0.0ms	y	@	inf	(*.f64 y (/.f64 1 y))
0.0ms	y	@	-inf	(*.f64 y (/.f64 1 y))

rewrite49.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`associate-r`
868×	`add-sqr-sqrt`
852×	`*-un-lft-identity`
806×	`pow1`
794×	`add-cube-cbrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	1
1	123	1
2	1149	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

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

simplify12.0ms (0.2%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (/.f64 y x))
✓	14.1b	(*.f64 y (/.f64 1 (/.f64 y x)))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`add-sqr-sqrt`
1690×	`*-un-lft-identity`
1576×	`add-cube-cbrt`
1552×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	168	20
2	2192	20

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

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

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

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1302×	`associate-/l*`
1116×	`times-frac`
1078×	`associate-/r*`
984×	`unswap-sqr`
514×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	151	488
1	370	488
2	1631	488

Stop Event

1×	node limit

Counts

110 → 64

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.2b	(.f64 (/.f64 1 y) (.f64 y x))

Compiler

Compiled 18 to 9 computations (50% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 25

Calls

Call 1

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

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

eval71.0ms (1.2%)

Compiler: Compiled 4352 to 1796 computations (58.7% saved)

prune84.0ms (1.4%)

Pruning

24 alts after pruning (11 fresh and 13 done)

	Pruned	Kept	Total
New	372	5	377
Fresh	2	6	8
Picked	0	1	1
Done	0	12	12
Total	374	24	398

Error

Counts

398 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	24.3b	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
✓	7.4b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	39.0b	(/.f64 (*.f64 y x) y)
	5.9b	(/.f64 (sin.f64 y) (/.f64 y x))
	28.4b	(/.f64 y (/.f64 y x))
✓	0.4b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.4b	(/.f64 x (/.f64 1 (/.f64 (sin.f64 y) y)))
	32.2b	(/.f64 x (/.f64 1 (+.f64 1 (.f64 -1/6 (.f64 y y)))))
	22.4b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
✓	7.8b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
	31.6b	(/.f64 1 (/.f64 1 x))
	37.9b	(-.f64 (+.f64 1 x) 1)
	32.1b	(+.f64 (.f64 y (.f64 y (*.f64 -1/6 x))) x)
✓	6.2b	(*.f64 (/.f64 x y) (sin.f64 y))
✓	29.7b	(*.f64 (/.f64 x y) y)
✓	39.0b	(.f64 (/.f64 1 y) (.f64 y x))
	62.4b	(.f64 (.f64 -1/6 (*.f64 y y)) x)
✓	29.2b	(*.f64 y (/.f64 1 (/.f64 y x)))
	29.8b	(.f64 y (.f64 (/.f64 1 y) x))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	32.2b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
✓	31.6b	(.f64 x (.f64 y (/.f64 1 y)))
	44.3b	(sqrt.f64 (*.f64 x x))
	31.6b	x

Compiler

Compiled 206 to 140 computations (32% saved)

regimes106.0ms (1.7%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
36.0ms	(/.f64 (sin.f64 y) y)
16.0ms	y
13.0ms	x

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 235 to 114 computations (51.5% saved)

regimes54.0ms (0.9%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	x
9.0ms	y

Results

Error	Segments	Branch
22.4b	1	`x`
22.4b	1	`y`

Compiler

Compiled 136 to 76 computations (44.1% saved)

regimes78.0ms (1.3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

49.0ms	y
26.0ms	x

Results

Error	Segments	Branch
23.1b	3	`x`
22.6b	3	`y`

Compiler

Compiled 112 to 62 computations (44.6% saved)

bsearch44.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	8.394712888472553e+21	3.615786240927932e+34
18.0ms	-34012361981888804.0	-94306350856977.6

Results

37.0ms

288×

body

256

valid

Compiler

Compiled 373 to 297 computations (20.4% saved)

regimes67.0ms (1.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

39.0ms	y
26.0ms	x

Results

Error	Segments	Branch
23.1b	3	`x`
23.0b	3	`y`

Compiler

Compiled 76 to 42 computations (44.7% saved)

bsearch54.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	5.811506320143384e+101	7.53123011308237e+119
18.0ms	-2.0778621773092592e+30	-1.1824966630687498e+29

Results

31.0ms	127×	body	512	valid
20.0ms	145×	body	256	valid

Compiler

Compiled 217 to 179 computations (17.5% saved)

regimes18.0ms (0.3%)

Accuracy

Total -14.0b remaining (-59%)

Threshold costs -14.0b (-59%)

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:

10.0ms	x
8.0ms	y

Results

Error	Segments	Branch
23.7b	3	`x`
23.7b	3	`y`

Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch11.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
9.0ms	3.615786240927932e+34	5.516445036222961e+39
2.0ms	-2.9889721543076597e+34	-2.0778621773092592e+30

Results

10.0ms

80×

body

256

valid

Compiler

Compiled 73 to 49 computations (32.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	184
1	67	184
2	68	184

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
(if (<=.f64 y -3800000000000000) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 480000000000000000000000) (.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y)))) (-.f64 (+.f64 1 x) 1)))
(if (<=.f64 y -126000000000000002223987752960) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128) x (-.f64 (+.f64 1 x) 1)))
(if (<=.f64 y -19999999999999998911504619740856320) (.f64 (/.f64 x y) y) (if (<=.f64 y 49999999999999998431683053958987776) x (.f64 (/.f64 x y) y)))
x

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
(if (<=.f64 y -3800000000000000) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 480000000000000000000000) (.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y)))) (-.f64 (+.f64 1 x) 1)))
(if (or (<=.f64 y -3800000000000000) (not (<=.f64 y 480000000000000000000000))) (+.f64 (+.f64 x 1) -1) (.f64 x (+.f64 1 (.f64 (*.f64 y y) -1/6))))
(if (<=.f64 y -126000000000000002223987752960) (-.f64 (+.f64 1 x) 1) (if (<=.f64 y 599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128) x (-.f64 (+.f64 1 x) 1)))
(if (or (<=.f64 y -126000000000000002223987752960) (not (<=.f64 y 599999999999999986229707959147201977068105631954490003677997584839196071308473946781956776688906928128))) (+.f64 (+.f64 x 1) -1) x)
(if (<=.f64 y -19999999999999998911504619740856320) (.f64 (/.f64 x y) y) (if (<=.f64 y 49999999999999998431683053958987776) x (.f64 (/.f64 x y) y)))
(if (or (<=.f64 y -19999999999999998911504619740856320) (not (<=.f64 y 49999999999999998431683053958987776))) (*.f64 y (/.f64 x y)) x)
x

Compiler

Compiled 81 to 58 computations (28.4% saved)

soundness0.0ms (0%)

end51.0ms (0.8%)

Compiler: Compiled 71 to 47 computations (33.8% saved)