Details

analyze67.0ms (1.4%)

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)

sample1.3s (28.6%)

Results

717.0ms	6043×	body	256	valid
423.0ms	1363×	body	1024	valid
182.0ms	845×	body	512	valid
3.0ms	5×	body	2048	valid

Bogosity

preprocess15.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`associate-*r/_binary64`
2×	`associate-*l/_binary64`
2×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	15	18
2	23	18
3	29	18
4	31	18
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 x (/.f64 y (sin.f64 y)))
(*.f64 y (/.f64 (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)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	13	9
3	17	9
4	18	9

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

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series8.0ms (0.2%)

Counts

2 → 28

Calls

9 calls:

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

rewrite42.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`pow1_binary64`
636×	`add-log-exp_binary64`
636×	`log1p-expm1-u_binary64`
636×	`expm1-log1p-u_binary64`
621×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	125	15
2	1682	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

541×	`fma-neg_binary64`
483×	`unswap-sqr_binary64`
454×	`associate-/l*_binary64`
404×	`associate-*l/_binary64`
397×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	880
1	377	786
2	1316	687
3	7836	687

Stop Event

1×	node limit

Counts

81 → 84

Calls

Call 1

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

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4)))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 (fma.f64 -1/6 (.f64 y y) 1) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 (.f64 y y) x) x)
(.f64 (fma.f64 -1/6 (.f64 y y) 1) x)
(fma.f64 (.f64 y y) (.f64 -1/6 x) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) x))
(+.f64 x (.f64 x (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 1/120 (.f64 (pow.f64 y 4) x) (fma.f64 -1/5040 (.f64 (pow.f64 y 6) x) x)))
(+.f64 (fma.f64 -1/5040 (.f64 (pow.f64 y 6) x) x) (.f64 x (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 x (.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (sin.f64 y) (pow.f64 y -1))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 1 (/.f64 (sin.f64 y) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.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 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 2) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 y -1)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (pow.f64 y -1) (sin.f64 y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) 1) (/.f64 (sqrt.f64 (sin.f64 y)) y))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sin.f64 y) (cbrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (pow.f64 (cbrt.f64 y) 2)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (sin.f64 y)) (cbrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(*.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.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 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(pow.f64 (/.f64 y (sin.f64 y)) -1)
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) (neg.f64 y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 y) y) 1))
(+.f64 (/.f64 (sin.f64 y) y) 0)
(/.f64 (sin.f64 y) y)
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x)) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 x (/.f64 y (sin.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 (sin.f64 y) x)) (neg.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) 1) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (neg.f64 (sin.f64 y)) x) (neg.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 x (neg.f64 (sin.f64 y))) (neg.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (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 (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 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(*.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))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 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))
(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))
(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))

eval17.0ms (0.4%)

Compiler: Compiled 932 to 449 computations (51.8% saved)

prune18.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

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

Error

0.0b

Counts

85 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	28.5b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
▶	1.2b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
▶	6.0b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	0.2b	(/.f64 x (/.f64 y (sin.f64 y)))
	6.4b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
	6.4b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	35.3b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
▶	0.3b	(.f64 x (.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y))))
	32.7b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3))
	34.4b	x

Compiler

Compiled 191 to 133 computations (30.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series3.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`pow1_binary64`
732×	`add-log-exp_binary64`
732×	`log1p-expm1-u_binary64`
732×	`expm1-log1p-u_binary64`
715×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	131	15
2	1925	15

Stop Event

1×	node limit

Counts

2 → 72

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

Outputs

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

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-neg_binary64`
537×	`unswap-sqr_binary64`
476×	`fma-def_binary64`
290×	`*-commutative_binary64`
275×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	1074
1	521	982
2	1817	882
3	7329	882

Stop Event

1×	node limit

Counts

100 → 105

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 (+.f64 1 (*.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 (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 (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 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 y) (sin.f64 y))))
(*.f64 (/.f64 (sin.f64 y) y) x)
(*.f64 (/.f64 x y) (sin.f64 y))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) (/.f64 1 (sin.f64 y))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.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 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.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 (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 (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 1 (sqrt.f64 (/.f64 y (sin.f64 y)))) (/.f64 x (sqrt.f64 (/.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 x 1) (/.f64 (sin.f64 y) y))
(*.f64 (/.f64 x (neg.f64 y)) (neg.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 x y) 1) (sin.f64 y))
(.f64 (.f64 (/.f64 x y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
(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)))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (sin.f64 y)) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sin.f64 y) y))))
(-.f64 (+.f64 1 (/.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 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.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 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.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 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (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))))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(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))))
(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))))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(exp.f64 (log.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 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 (*.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)
(fma.f64 y (*.f64 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))
(fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1))
(+.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))))
(fma.f64 (pow.f64 y 6) 31/15120 (fma.f64 y (*.f64 y 1/6) (fma.f64 (pow.f64 y 4) 7/360 1)))
(-.f64 (+.f64 1 (*.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 (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 (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 (neg.f64 x) (/.f64 1 (/.f64 (neg.f64 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 (/.f64 x y) (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 (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 (sqrt.f64 x) y) (/.f64 (sqrt.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 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.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 (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 (cbrt.f64 (.f64 (sin.f64 y) (/.f64 x y))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (*.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 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 (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 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 (/.f64 x y) 1) (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 (/.f64 x y) (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 1)
(*.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 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 3)
(*.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 (/.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))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sin.f64 y) y)) 3))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (sin.f64 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))
(log1p.f64 (expm1.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))
(-.f64 (+.f64 1 (/.f64 y (sin.f64 y))) 1)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 y (/.f64 1 (sin.f64 y)))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 y (sin.f64 y)) 1)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 1 (/.f64 y (sin.f64 y)))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) (sqrt.f64 (/.f64 y (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (sin.f64 y)) y)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 y (cbrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.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 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 y))) (/.f64 y (sqrt.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.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 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 y (sin.f64 y)) 1)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (cbrt.f64 (/.f64 y (sin.f64 y))) 3)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (sqrt.f64 (/.f64 y (sin.f64 y))) 2)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) -1)
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(neg.f64 (/.f64 y (neg.f64 (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(sqrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 2))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(log.f64 (exp.f64 (/.f64 y (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(cbrt.f64 (pow.f64 (/.f64 y (sin.f64 y)) 3))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (sin.f64 y) 3)))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(expm1.f64 (log1p.f64 (/.f64 y (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(log1p.f64 (expm1.f64 (/.f64 y (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))
(exp.f64 (log.f64 (/.f64 y (sin.f64 y))))
(+.f64 (+.f64 1 (/.f64 y (sin.f64 y))) -1)
(+.f64 (/.f64 y (sin.f64 y)) 0)
(/.f64 y (sin.f64 y))

localize10.0ms (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))
✓	3.8b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))

Compiler

Compiled 30 to 16 computations (46.7% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary64`
852×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	189	26
2	2412	26

Stop Event

1×	node limit

Counts

3 → 70

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

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

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

simplify62.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

828×	`fma-neg_binary64`
623×	`log-prod_binary64`
527×	`fma-def_binary64`
494×	`unswap-sqr_binary64`
269×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	165	1439
1	419	1352
2	1543	1302
3	6493	1300

Stop Event

1×	node limit

Counts

118 → 104

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

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	6.0b	(/.f64 (*.f64 (sin.f64 y) x) y)

Compiler

Compiled 16 to 5 computations (68.8% saved)

series4.0ms (0.1%)

Counts

2 → 8

Calls

12 calls:

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

rewrite43.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`pow1_binary64`
667×	`add-log-exp_binary64`
667×	`log1p-expm1-u_binary64`
667×	`expm1-log1p-u_binary64`
652×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	125	15
2	1741	15

Stop Event

1×	node limit

Counts

2 → 54

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

674×	`times-frac_binary64`
625×	`unswap-sqr_binary64`
545×	`associate-*l/_binary64`
418×	`fma-def_binary64`
415×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	166	944
1	435	794
2	1690	630

Stop Event

1×	node limit

Counts

62 → 87

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

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y))))
✓	0.3b	(*.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y)))

Compiler

Compiled 34 to 15 computations (55.9% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite44.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`pow1_binary64`
729×	`add-log-exp_binary64`
729×	`log1p-expm1-u_binary64`
729×	`expm1-log1p-u_binary64`
713×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	205	15
2	2737	15

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

588×	`log-prod_binary64`
416×	`log-div_binary64`
329×	`unswap-sqr_binary64`
264×	`times-frac_binary64`
264×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	127	669
1	302	663
2	1102	654
3	4849	654

Stop Event

1×	node limit

Counts

79 → 75

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(-.f64 0 (/.f64 (sin.f64 y) y))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(-.f64 (/.f64 0 y) (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 -1 (/.f64 y (sin.f64 y)))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (/.f64 (sin.f64 y) -1) y)
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(neg.f64 (/.f64 (sin.f64 y) y))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x)) 1)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (.f64 (.f64 (sin.f64 y) x) 1) y)
(/.f64 (.f64 (.f64 (sin.f64 y) x) -1) y)
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (.f64 1/120 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/5040 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 y 2)) (*.f64 1/120 (pow.f64 y 4)))))
(fma.f64 -1/5040 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4))) (fma.f64 -1/5040 (pow.f64 y 6) 1))
(fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (sin.f64 y) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 (.f64 y y) x) x)
(fma.f64 -1/6 (.f64 y (.f64 y x)) x)
(.f64 (fma.f64 -1/6 (.f64 y y) 1) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 1/120 (*.f64 (pow.f64 y 4) x) x))
(+.f64 x (.f64 x (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4)))))
(.f64 x (fma.f64 -1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) 1)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(fma.f64 -1/6 (.f64 (.f64 y y) x) (fma.f64 1/120 (.f64 (pow.f64 y 4) x) (fma.f64 -1/5040 (.f64 (pow.f64 y 6) x) x)))
(+.f64 (.f64 (fma.f64 -1/5040 (pow.f64 y 6) 1) x) (.f64 x (fma.f64 -1/6 (.f64 y y) (.f64 1/120 (pow.f64 y 4)))))
(+.f64 x (.f64 x (fma.f64 -1/5040 (pow.f64 y 6) (fma.f64 -1/6 (.f64 y y) (*.f64 1/120 (pow.f64 y 4))))))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(-.f64 0 (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) y)
(neg.f64 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (neg.f64 y))
(-.f64 (+.f64 1 (/.f64 (sin.f64 y) y)) 1)
(/.f64 (sin.f64 y) y)
(-.f64 (/.f64 0 y) (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) y)
(neg.f64 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (neg.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 1 (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) y)
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (/.f64 y (cbrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 (sqrt.f64 (sin.f64 y)) (/.f64 y (sqrt.f64 (sin.f64 y))))
(/.f64 (sin.f64 y) y)
(/.f64 -1 (/.f64 y (sin.f64 y)))
(/.f64 (neg.f64 (sin.f64 y)) y)
(neg.f64 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (neg.f64 y))
(/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) 1) y)
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(/.f64 (sin.f64 y) y)
(/.f64 (/.f64 (sin.f64 y) -1) y)
(/.f64 (neg.f64 (sin.f64 y)) y)
(neg.f64 (/.f64 (sin.f64 y) y))
(/.f64 (sin.f64 y) (neg.f64 y))
(pow.f64 (/.f64 (sin.f64 y) y) 1)
(/.f64 (sin.f64 y) y)
(pow.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) 1/3)
(/.f64 (sin.f64 y) y)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) 3)
(/.f64 (sin.f64 y) y)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) 2)
(/.f64 (sin.f64 y) y)
(neg.f64 (/.f64 (sin.f64 y) y))
(/.f64 (neg.f64 (sin.f64 y)) y)
(/.f64 (sin.f64 y) (neg.f64 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)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 y 3)))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 (/.f64 1 y) 3)))
(/.f64 (sin.f64 y) y)
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 y) 3) (pow.f64 (sin.f64 y) 3)))
(/.f64 (sin.f64 y) y)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(exp.f64 (log.f64 (/.f64 (sin.f64 y) y)))
(/.f64 (sin.f64 y) y)
(-.f64 (+.f64 1 (*.f64 (/.f64 (sin.f64 y) y) x)) 1)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (.f64 (.f64 (sin.f64 y) x) 1) y)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (.f64 (.f64 (sin.f64 y) x) -1) y)
(/.f64 (.f64 (sin.f64 y) (.f64 x -1)) y)
(/.f64 (sin.f64 y) (/.f64 y (neg.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (neg.f64 x) y))
(pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 1)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3) 1/3)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(neg.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
(/.f64 (.f64 (sin.f64 y) (.f64 x -1)) y)
(/.f64 (sin.f64 y) (/.f64 y (neg.f64 x)))
(*.f64 (sin.f64 y) (/.f64 (neg.f64 x) y))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 2))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 (sin.f64 y) y)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3) (pow.f64 x 3)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 (sin.f64 y) y) 3)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))
(exp.f64 (log.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
(*.f64 (/.f64 (sin.f64 y) y) x)
(/.f64 (sin.f64 y) (/.f64 y x))
(*.f64 (sin.f64 y) (/.f64 x y))

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 (sin.f64 y) y) x)
	0.2b	(/.f64 (sin.f64 y) y)
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
✓	8.4b	(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series17.0ms (0.4%)

Counts

3 → 32

Calls

18 calls:

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`pow1_binary64`
811×	`add-log-exp_binary64`
811×	`log1p-expm1-u_binary64`
811×	`expm1-log1p-u_binary64`
791×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	194	29
2	2208	29

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

475×	`times-frac_binary64`
465×	`associate-/l*_binary64`
336×	`associate-/r*_binary64`
268×	`log-prod_binary64`
266×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	1872
1	686	1773
2	2687	1701

Stop Event

1×	node limit

Counts

126 → 130

Calls

Call 1

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

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

eval136.0ms (2.9%)

Compiler: Compiled 7920 to 4056 computations (48.8% saved)

prune94.0ms (2%)

Pruning

21 alts after pruning (17 fresh and 4 done)

	Pruned	Kept	Total
New	535	13	548
Fresh	1	4	5
Picked	1	0	1
Done	1	4	5
Total	538	21	559

Error

Counts

559 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	28.5b	(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
	37.3b	(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2) y)
▶	6.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3) y)
	48.0b	(/.f64 (-.f64 (.f64 x x) (.f64 1/36 (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 y x))))) (+.f64 x (.f64 (.f64 y (.f64 y x)) 1/6)))
✓	6.0b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	40.5b	(/.f64 (*.f64 y x) y)
	6.2b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.2b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	26.0b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
▶	6.4b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
	35.3b	(+.f64 x (.f64 (.f64 y y) (*.f64 x -1/6)))
	6.4b	(*.f64 (/.f64 x y) (sin.f64 y))
	6.1b	(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
	6.1b	(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y)))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	0.2b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
✓	35.3b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
	62.5b	(.f64 -1/6 (.f64 y (*.f64 y x)))
	62.5b	(.f64 -1/6 (.f64 x (*.f64 y y)))
	32.7b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3))
	34.4b	x

Compiler

Compiled 398 to 261 computations (34.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 10 computations (60% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

847×	`pow1_binary64`
783×	`add-log-exp_binary64`
783×	`log1p-expm1-u_binary64`
783×	`expm1-log1p-u_binary64`
765×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	167	15
2	2196	15

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

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

simplify37.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

617×	`times-frac_binary64`
490×	`associate-/l*_binary64`
482×	`unswap-sqr_binary64`
479×	`associate-*l/_binary64`
380×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	824
1	456	811
2	1547	794

Stop Event

1×	node limit

Counts

97 → 92

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.5b	(/.f64 (*.f64 y x) y)

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`pow1_binary64`
577×	`add-log-exp_binary64`
577×	`log1p-expm1-u_binary64`
577×	`expm1-log1p-u_binary64`
564×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	106	7
2	1513	7

Stop Event

1×	node limit

Counts

1 → 40

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

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

562×	`associate-/l*_binary64`
552×	`times-frac_binary64`
496×	`log-div_binary64`
444×	`log-prod_binary64`
374×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	204
1	271	201
2	940	201
3	6176	181

Stop Event

1×	node limit

Counts

64 → 46

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 y y) 1/6)
✓	3.2b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))

Compiler

Compiled 30 to 16 computations (46.7% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
896×	`add-log-exp_binary64`
895×	`log1p-expm1-u_binary64`
895×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	190	18
2	2454	18

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

428×	`log-prod_binary64`
379×	`log-div_binary64`
372×	`fma-def_binary64`
344×	`times-frac_binary64`
309×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	1036
1	416	1023
2	1293	1007
3	5437	1007

Stop Event

1×	node limit

Counts

82 → 96

Calls

Call 1

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

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

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 y) x)
✓	0.5b	(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
✓	6.0b	(/.f64 y (*.f64 (sin.f64 y) x))

Compiler

Compiled 25 to 8 computations (68% saved)

series5.0ms (0.1%)

Counts

2 → 28

Calls

12 calls:

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

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`pow1_binary64`
814×	`add-log-exp_binary64`
814×	`log1p-expm1-u_binary64`
814×	`expm1-log1p-u_binary64`
795×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	166	18
2	2230	18

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

703×	`fma-neg_binary64`
454×	`unswap-sqr_binary64`
407×	`fma-def_binary64`
348×	`*-commutative_binary64`
337×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	1314
1	602	1203
2	2162	1092
3	7491	1092

Stop Event

1×	node limit

Counts

111 → 115

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))
(+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) x))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) x)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 6) x)) x)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(/.f64 (*.f64 (sin.f64 y) x) y)
(-.f64 (+.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) 1)
(.f64 y (/.f64 1 (.f64 (sin.f64 y) x)))
(.f64 (/.f64 y (.f64 (sin.f64 y) x)) 1)
(.f64 1 (/.f64 y (.f64 (sin.f64 y) x)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (*.f64 (sin.f64 y) x))))
(.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) x))) 2) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (*.f64 (sin.f64 y) x))))
(.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) x))) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(.f64 (neg.f64 y) (/.f64 1 (.f64 (sin.f64 y) (neg.f64 x))))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y)
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 x))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)) (/.f64 (cbrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 (sqrt.f64 y) x))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(*.f64 (/.f64 1 x) (/.f64 y (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (.f64 (sin.f64 y) x)))
(.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (.f64 (sin.f64 y) x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) x))) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) x))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (.f64 (sin.f64 y) x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 y) x))))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1)
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 3)
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2)
(pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) -1)
(neg.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 2))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(-.f64 (+.f64 1 (/.f64 x (/.f64 y (sin.f64 y)))) 1)
(.f64 (.f64 (sin.f64 y) x) (/.f64 1 y))
(*.f64 1 (/.f64 x (/.f64 y (sin.f64 y))))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2) (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (.f64 (sin.f64 y) x))))
(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1)
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
(.f64 (/.f64 1 y) (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) -1))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) -1))
(.f64 (pow.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) x))) -1) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) -1))
(*.f64 (/.f64 (sin.f64 y) 1) (/.f64 x y))
(*.f64 (/.f64 x 1) (/.f64 (sin.f64 y) y))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) y))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) 1) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) y))
(*.f64 (/.f64 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 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 (.f64 (sin.f64 y) x) (cbrt.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 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 (sin.f64 y) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 (sin.f64 y) x) (sqrt.f64 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 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y)))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) x)
(.f64 (.f64 (/.f64 1 y) (sin.f64 y)) x)
(.f64 (.f64 (/.f64 1 y) x) (sin.f64 y))
(.f64 (.f64 (/.f64 1 y) 1) (*.f64 (sin.f64 y) x))
(.f64 (.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (.f64 (sin.f64 y) x)))
(.f64 (.f64 (/.f64 1 y) (sqrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (.f64 (sin.f64 y) x)))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -1)
(pow.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)
(pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1)
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -2))
(log.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(exp.f64 (log.f64 (/.f64 x (/.f64 y (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)))
(fma.f64 1/6 (/.f64 y (/.f64 x y)) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (/.f64 1 x)))
(+.f64 (.f64 31/15120 (/.f64 (pow.f64 y 6) x)) (+.f64 (.f64 7/360 (/.f64 (pow.f64 y 4) x)) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 y 2) x)) (/.f64 1 x))))
(fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 1/6 (/.f64 (*.f64 y y) x) (/.f64 1 x))))
(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))))
(fma.f64 7/360 (/.f64 (pow.f64 y 4) x) (fma.f64 31/15120 (/.f64 (pow.f64 y 6) x) (fma.f64 1/6 (/.f64 y (/.f64 x y)) (/.f64 1 x))))
x
(+.f64 (.f64 -1/6 (.f64 (pow.f64 y 2) x)) x)
(fma.f64 -1/6 (.f64 x (.f64 y y)) x)
(fma.f64 x (.f64 y (.f64 y -1/6)) 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 x (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/120)) 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 x (fma.f64 (.f64 y y) -1/6 (.f64 (pow.f64 y 4) 1/120)) (*.f64 x (fma.f64 (pow.f64 y 6) -1/5040 1)))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(-.f64 (+.f64 1 (/.f64 y (*.f64 (sin.f64 y) x))) 1)
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 y (/.f64 1 (.f64 (sin.f64 y) x)))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 y (.f64 (sin.f64 y) x)) 1)
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 1 (/.f64 y (.f64 (sin.f64 y) x)))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) (/.f64 1 (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) x))) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) x))) 2) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (/.f64 1 (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) x))) (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (neg.f64 y) (/.f64 1 (.f64 (sin.f64 y) (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 x))
(.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y)
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 y (sin.f64 y)) (/.f64 1 x))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sin.f64 y)) (/.f64 (cbrt.f64 y) x))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) (sin.f64 y)) (/.f64 (sqrt.f64 y) x))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (sqrt.f64 y) x) (/.f64 (sqrt.f64 y) (sin.f64 y)))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 1 x) (/.f64 y (sin.f64 y)))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) x) (/.f64 (cbrt.f64 y) (sin.f64 y)))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (.f64 (sin.f64 y) x)))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (.f64 (sin.f64 y) x)))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (/.f64 y (cbrt.f64 (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(.f64 (cbrt.f64 (/.f64 y (.f64 x (sin.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 y) 2) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (/.f64 y (.f64 x (sin.f64 y))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 y) 2) (cbrt.f64 (/.f64 y (.f64 x (sin.f64 y))))) (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2))
(.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (/.f64 (sqrt.f64 y) (cbrt.f64 (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 1 (sqrt.f64 (.f64 (sin.f64 y) x))) (/.f64 y (sqrt.f64 (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) (sqrt.f64 (.f64 (sin.f64 y) x))) (/.f64 (cbrt.f64 y) (sqrt.f64 (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 1)
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(pow.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 3)
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) 2)
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) -1)
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(neg.f64 (/.f64 y (*.f64 (sin.f64 y) (neg.f64 x))))
(.f64 (neg.f64 y) (/.f64 1 (.f64 (sin.f64 y) (neg.f64 x))))
(/.f64 (/.f64 (neg.f64 y) (sin.f64 y)) (neg.f64 x))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 2))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(log.f64 (exp.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(cbrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) 3))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(cbrt.f64 (/.f64 (pow.f64 y 3) (pow.f64 (*.f64 (sin.f64 y) x) 3)))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(expm1.f64 (log1p.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(log1p.f64 (expm1.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(exp.f64 (log.f64 (/.f64 y (*.f64 (sin.f64 y) x))))
(+.f64 (+.f64 1 (/.f64 y (*.f64 x (sin.f64 y)))) -1)
(+.f64 (/.f64 y (*.f64 x (sin.f64 y))) 0)
(/.f64 y (*.f64 x (sin.f64 y)))
(-.f64 (+.f64 1 (/.f64 x (/.f64 y (sin.f64 y)))) 1)
(*.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 1 (/.f64 x (/.f64 y (sin.f64 y))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2) (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 -1 (/.f64 1 (/.f64 (neg.f64 y) (.f64 (sin.f64 y) x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1)
(*.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 1 y) (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) -1))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 y (.f64 (sin.f64 y) x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) -1))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (pow.f64 (sqrt.f64 (/.f64 y (.f64 (sin.f64 y) x))) -1) (pow.f64 (sqrt.f64 (/.f64 y (*.f64 (sin.f64 y) x))) -1))
(*.f64 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 x 1) (/.f64 (sin.f64 y) 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) 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 (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 (sin.f64 y) (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 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 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (.f64 (sin.f64 y) x) (cbrt.f64 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) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) (cbrt.f64 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 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 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 (sin.f64 y) (sqrt.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 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 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 y)) (/.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 y)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (/.f64 1 (neg.f64 y)) (.f64 (sin.f64 y) (neg.f64 x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 1 (/.f64 y (sin.f64 y))) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (/.f64 1 y) (sin.f64 y)) x)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (/.f64 1 y) x) (sin.f64 y))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (/.f64 1 y) 1) (*.f64 (sin.f64 y) x))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (/.f64 1 y) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2)) (cbrt.f64 (.f64 (sin.f64 y) x)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(.f64 (.f64 (/.f64 1 y) (sqrt.f64 (.f64 (sin.f64 y) x))) (sqrt.f64 (.f64 (sin.f64 y) x)))
(*.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))
(pow.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3) 1/3)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (cbrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 3)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 1)
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 y (*.f64 (sin.f64 y) x)) -2))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(log.f64 (exp.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) (pow.f64 y 3)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(log1p.f64 (expm1.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(exp.f64 (log.f64 (/.f64 x (/.f64 y (sin.f64 y)))))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 y) x)
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
✓	6.0b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3) y)
✓	6.5b	(cbrt.f64 (*.f64 (sin.f64 y) x))

Compiler

Compiled 32 to 11 computations (65.6% saved)

series15.0ms (0.3%)

Counts

3 → 40

Calls

18 calls:

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

rewrite65.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
793×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	193	23
2	2199	23

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

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

Outputs

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

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

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

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-/r*_binary64`
667×	`fma-neg_binary64`
417×	`fma-def_binary64`
372×	`*-commutative_binary64`
290×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	1254
1	551	1254
2	2157	1233
3	7633	1233

Stop Event

1×	node limit

Counts

137 → 121

Calls

Call 1

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

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

eval195.0ms (4.2%)

Compiler: Compiled 7518 to 3722 computations (50.5% saved)

prune143.0ms (3.1%)

Pruning

27 alts after pruning (20 fresh and 7 done)

	Pruned	Kept	Total
New	565	13	578
Fresh	5	7	12
Picked	0	1	1
Done	2	6	8
Total	572	27	599

Error

Counts

599 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	28.5b	(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)
✓	6.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3) y)
	48.0b	(/.f64 (-.f64 (.f64 x x) (.f64 1/36 (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 y x))))) (+.f64 x (.f64 (.f64 y (.f64 y x)) 1/6)))
✓	6.0b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	40.5b	(/.f64 (*.f64 y x) y)
▶	6.2b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.2b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	26.0b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
▶	0.6b	(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) x))
	40.5b	(/.f64 1 (/.f64 y (*.f64 y x)))
▶	34.4b	(/.f64 1 (/.f64 1 x))
	7.2b	(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y))
	6.5b	(/.f64 1 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x)))
▶	40.8b	(-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)
	35.3b	(+.f64 x (.f64 (.f64 y y) (*.f64 x -1/6)))
	6.4b	(*.f64 (/.f64 x y) (sin.f64 y))
	53.5b	(*.f64 (/.f64 6 y) (/.f64 x y))
	6.1b	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
	26.0b	(.f64 x (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
✓	35.3b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
▶	53.5b	(*.f64 6 (/.f64 (/.f64 x y) y))
	53.5b	(.f64 6 (/.f64 x (.f64 y y)))
	62.5b	(.f64 -1/6 (.f64 y (*.f64 y x)))
	62.5b	(.f64 -1/6 (.f64 x (*.f64 y y)))
	32.7b	(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3))
	34.4b	x

Compiler

Compiled 481 to 321 computations (33.3% saved)

localize31.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 y (sin.f64 y))
✓	0.1b	(/.f64 (/.f64 y (sin.f64 y)) x)
✓	0.5b	(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) x))

Compiler

Compiled 25 to 8 computations (68% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite50.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary64`
886×	`add-log-exp_binary64`
886×	`log1p-expm1-u_binary64`
886×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	172	18
2	2430	18

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

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

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

501×	`unswap-sqr_binary64`
425×	`associate-/r/_binary64`
343×	`*-commutative_binary64`
256×	`associate-/l/_binary64`
256×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	1270
1	622	1270
2	2094	1264
3	7815	1264

Stop Event

1×	node limit

Counts

131 → 113

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

348×	`pow1_binary64`
336×	`add-sqr-sqrt_binary64`
328×	`*-un-lft-identity_binary64`
323×	`add-log-exp_binary64`
323×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	1
1	105	1
2	997	1

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x x)) (neg.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 x)) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 x)))) (#(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 log1p.f64 (expm1.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))))))

simplify38.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

432×	`associate-/l*_binary64`
416×	`associate-l_binary64`
369×	`associate-r_binary64`
367×	`log-prod_binary64`
231×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	218
1	254	218
2	748	210
3	4184	210

Stop Event

1×	node limit

Counts

59 → 54

Calls

Call 1

Inputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 0 x)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 0 x)
(-.f64 (+.f64 1 x) 1)
(*.f64 1 x)
(*.f64 x 1)
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 -1 x)
(*.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))
(*.f64 (pow.f64 1 1/3) x)
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))
(pow.f64 x 1)
(pow.f64 (/.f64 1 x) -1)
(pow.f64 (E.f64) (log.f64 x))
(pow.f64 (*.f64 x x) 1/2)
(pow.f64 (pow.f64 x 3) 1/3)
(pow.f64 (pow.f64 x -2) -1/2)
(pow.f64 (pow.f64 x -3) -1/3)
(pow.f64 (cbrt.f64 x) 3)
(pow.f64 (/.f64 1 (cbrt.f64 x)) -3)
(pow.f64 (sqrt.f64 x) 2)
(pow.f64 (pow.f64 x -1/2) -2)
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(neg.f64 x)
(sqrt.f64 (*.f64 x x))
(log.f64 (exp.f64 x))
(cbrt.f64 (pow.f64 x 3))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))

Outputs
x
x
x
x
x
x
x
x
x
x
x
x
(+.f64 0 x)
x
(+.f64 (log.f64 (sqrt.f64 (exp.f64 x))) (log.f64 (sqrt.f64 (exp.f64 x))))
x
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x))) (log.f64 (cbrt.f64 (exp.f64 x))))
(-.f64 0 x)
(neg.f64 x)
(-.f64 (+.f64 1 x) 1)
x
(*.f64 1 x)
x
(*.f64 x 1)
x
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 x x)))
x
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 x))
x
(.f64 (cbrt.f64 (.f64 x x)) (neg.f64 (cbrt.f64 x)))
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
x
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(neg.f64 x)
(*.f64 -1 x)
(neg.f64 x)
(*.f64 (pow.f64 x 1/4) (sqrt.f64 (pow.f64 x 3/2)))
x
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(neg.f64 x)
(.f64 (neg.f64 (cbrt.f64 (.f64 x x))) (cbrt.f64 x))
(neg.f64 x)
(*.f64 (cbrt.f64 (pow.f64 x 5/2)) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (cbrt.f64 (pow.f64 x 5/2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 x) 5)))
(*.f64 (pow.f64 x 1/6) (pow.f64 (cbrt.f64 x) 5/2))
(*.f64 (sqrt.f64 (pow.f64 x 3/2)) (pow.f64 x 1/4))
x
(*.f64 (pow.f64 1 1/3) x)
x
(.f64 (pow.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2) 1/3) (cbrt.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 8)))
(*.f64 (pow.f64 (pow.f64 x 5/2) 1/3) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (cbrt.f64 (pow.f64 x 5/2)))
(pow.f64 x 1)
x
(pow.f64 (/.f64 1 x) -1)
x
(pow.f64 (E.f64) (log.f64 x))
x
(pow.f64 (*.f64 x x) 1/2)
x
(pow.f64 (pow.f64 x 3) 1/3)
x
(pow.f64 (pow.f64 x -2) -1/2)
(pow.f64 (pow.f64 x -3) -1/3)
(*.f64 (pow.f64 (pow.f64 x -3) -1/6) (pow.f64 (pow.f64 x -3) -1/6))
(pow.f64 (cbrt.f64 x) 3)
x
(pow.f64 (/.f64 1 (cbrt.f64 x)) -3)
(pow.f64 (sqrt.f64 x) 2)
x
(pow.f64 (pow.f64 x -1/2) -2)
x
(pow.f64 (exp.f64 -1) (neg.f64 (log.f64 x)))
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
(neg.f64 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
(log1p.f64 (expm1.f64 x))
x
(exp.f64 (log.f64 x))
x
(exp.f64 (.f64 (.f64 3 (log.f64 x)) 1/3))
x
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 3))
x
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) 2))
x

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 20 to 7 computations (65% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/.f64 (/.f64 x y) y)
1.0ms	x	@	inf	(/.f64 (/.f64 x y) y)
1.0ms	x	@	inf	(*.f64 6 (/.f64 (/.f64 x y) y))
1.0ms	x	@	-inf	(/.f64 (/.f64 x y) y)
1.0ms	y	@	0	(/.f64 (/.f64 x y) y)

rewrite49.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

836×	`pow1_binary64`
779×	`add-log-exp_binary64`
779×	`log1p-expm1-u_binary64`
779×	`expm1-log1p-u_binary64`
764×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	152	17
2	2077	17

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

721×	`associate-/l*_binary64`
492×	`associate-/r*_binary64`
483×	`unswap-sqr_binary64`
394×	`fma-neg_binary64`
329×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	927
1	403	921
2	1583	918
3	7354	918

Stop Event

1×	node limit

Counts

107 → 69

Calls

Call 1

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

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

localize30.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)

Compiler

Compiled 29 to 11 computations (62.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite41.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`pow1_binary64`
660×	`add-log-exp_binary64`
660×	`log1p-expm1-u_binary64`
660×	`expm1-log1p-u_binary64`
648×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	187	1
2	2059	1

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

521×	`associate-/r*_binary64`
377×	`associate-+l+_binary64`
371×	`associate-/r/_binary64`
349×	`associate-+r+_binary64`
330×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	258
1	299	237
2	1557	231

Stop Event

1×	node limit

Counts

72 → 55

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.7b	(/.f64 (sin.f64 y) (/.f64 y x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`pow1_binary64`
732×	`add-log-exp_binary64`
732×	`log1p-expm1-u_binary64`
732×	`expm1-log1p-u_binary64`
715×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1925	9

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

861×	`log-div_binary64`
742×	`fma-def_binary64`
491×	`associate-*l/_binary64`
442×	`associate-/l*_binary64`
376×	`associate-*r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	694
1	351	682
2	1151	676
3	6288	673

Stop Event

1×	node limit

Counts

65 → 59

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

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

eval116.0ms (2.5%)

Compiler: Compiled 4411 to 2148 computations (51.3% saved)

prune141.0ms (3%)

Pruning

27 alts after pruning (17 fresh and 10 done)

	Pruned	Kept	Total
New	390	8	398
Fresh	6	9	15
Picked	0	1	1
Done	2	9	11
Total	398	27	425

Error

Counts

425 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	28.5b	(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)
✓	6.9b	(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3) y)
	53.5b	(/.f64 (*.f64 (/.f64 x y) 6) y)
✓	6.0b	(/.f64 (*.f64 (sin.f64 y) x) y)
	53.5b	(/.f64 (.f64 x 6) (.f64 y y))
✓	6.2b	(/.f64 (sin.f64 y) (/.f64 y x))
	32.5b	(/.f64 y (/.f64 y x))
✓	0.2b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	26.0b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
✓	0.6b	(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) x))
	40.5b	(/.f64 1 (/.f64 y (*.f64 y x)))
✓	34.4b	(/.f64 1 (/.f64 1 x))
	7.2b	(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y))
	6.5b	(/.f64 1 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x)))
	40.8b	(+.f64 (+.f64 x -1) 1)
	6.4b	(*.f64 (/.f64 x y) (sin.f64 y))
	6.1b	(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
✓	0.2b	(*.f64 x (/.f64 (sin.f64 y) y))
	53.5b	(.f64 x (/.f64 6 (.f64 y y)))
	26.0b	(.f64 x (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
✓	35.3b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
✓	53.5b	(*.f64 6 (/.f64 (/.f64 x y) y))
	53.5b	(.f64 6 (.f64 (/.f64 x y) (/.f64 1 y)))
	53.5b	(.f64 6 (.f64 x (*.f64 (/.f64 1 y) (/.f64 1 y))))
	61.7b	(neg.f64 x)
	32.7b	(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3))
	34.4b	x

Compiler

Compiled 249 to 176 computations (29.3% saved)

regimes88.0ms (1.9%)

Counts

45 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(+.f64 (+.f64 x -1) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(.f64 -1/6 (.f64 x (*.f64 y y)))
(.f64 -1/6 (.f64 y (*.f64 y x)))
(.f64 6 (/.f64 x (.f64 y y)))
(*.f64 6 (/.f64 (/.f64 x y) y))
(.f64 x (/.f64 6 (.f64 y y)))
(*.f64 (/.f64 6 y) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (.f64 x 6) (.f64 y y))
(/.f64 (*.f64 (/.f64 x y) 6) y)
(.f64 6 (.f64 (/.f64 x y) (/.f64 1 y)))
(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (*.f64 x -1/6)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)
(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
(.f64 6 (.f64 x (*.f64 (/.f64 1 y) (/.f64 1 y))))
(.f64 x (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/36 (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 y x))))) (+.f64 x (.f64 (.f64 y (.f64 y x)) 1/6)))
(*.f64 x (/.f64 (sin.f64 y) y))
(*.f64 (sin.f64 y) (/.f64 x y))
(*.f64 (/.f64 x y) (sin.f64 y))
(/.f64 x (/.f64 y (sin.f64 y)))
(/.f64 (sin.f64 y) (/.f64 y x))
(/.f64 (*.f64 (sin.f64 y) x) y)
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
(.f64 (/.f64 1 y) (.f64 (sin.f64 y) x))
(/.f64 1 (/.f64 y (*.f64 (sin.f64 y) x)))
(/.f64 1 (/.f64 (/.f64 y (sin.f64 y)) x))
(.f64 x (.f64 (neg.f64 (sin.f64 y)) (/.f64 1 (neg.f64 y))))
(.f64 (.f64 (sin.f64 y) (neg.f64 x)) (/.f64 1 (neg.f64 y)))
(*.f64 (/.f64 1 y) (/.f64 x (/.f64 1 (sin.f64 y))))
(/.f64 1 (*.f64 (/.f64 1 (sin.f64 y)) (/.f64 y x)))
(/.f64 1 (.f64 (/.f64 1 (.f64 (sin.f64 y) x)) y))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sin.f64 y) y) x) 3))
(cbrt.f64 (pow.f64 (/.f64 x (/.f64 y (sin.f64 y))) 3))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3) y)
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2) y)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) 2)
(pow.f64 (sqrt.f64 (/.f64 x (/.f64 y (sin.f64 y)))) 2)

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

Calls

4 calls:

21.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
20.0ms	x
19.0ms	y
19.0ms	(/.f64 (sin.f64 y) y)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(*.f64 x (/.f64 (sin.f64 y) y))`
0.2b	1	`(/.f64 (sin.f64 y) y)`

Compiler

Compiled 383 to 178 computations (53.5% saved)

regimes32.0ms (0.7%)

Counts

23 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)
(+.f64 (+.f64 x -1) 1)
(/.f64 1 (/.f64 1 x))
(/.f64 y (/.f64 y x))
(/.f64 (*.f64 y x) y)
(.f64 -1/6 (.f64 x (*.f64 y y)))
(.f64 -1/6 (.f64 y (*.f64 y x)))
(.f64 6 (/.f64 x (.f64 y y)))
(*.f64 6 (/.f64 (/.f64 x y) y))
(.f64 x (/.f64 6 (.f64 y y)))
(*.f64 (/.f64 6 y) (/.f64 x y))
(/.f64 1 (/.f64 y (*.f64 y x)))
(/.f64 (.f64 x 6) (.f64 y y))
(/.f64 (*.f64 (/.f64 x y) 6) y)
(.f64 6 (.f64 (/.f64 x y) (/.f64 1 y)))
(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
(+.f64 x (.f64 (.f64 y y) (*.f64 x -1/6)))
(-.f64 (+.f64 1 (*.f64 (/.f64 y y) x)) 1)
(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
(.f64 6 (.f64 x (*.f64 (/.f64 1 y) (/.f64 1 y))))
(.f64 x (/.f64 1 (+.f64 1 (.f64 (*.f64 y y) 1/6))))
(/.f64 (-.f64 (.f64 x x) (.f64 1/36 (.f64 (.f64 y (.f64 y x)) (.f64 y (.f64 y x))))) (+.f64 x (.f64 (.f64 y (.f64 y x)) 1/6)))

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

Calls

2 calls:

13.0ms	y
12.0ms	x

Results

Error	Segments	Branch
26.0b	1	`x`
26.0b	1	`y`

Compiler

Compiled 188 to 97 computations (48.4% saved)

regimes63.0ms (1.4%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

2 calls:

31.0ms	x
28.0ms	y

Results

Error	Segments	Branch
26.6b	3	`x`
25.9b	3	`y`

Compiler

Compiled 130 to 68 computations (47.7% saved)

bsearch43.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	0.003517669883294046	1124.9115018639757
20.0ms	-1.120564719089483e+31	-2.3675404127156322e+26

Results

39.0ms

272×

body

256

valid

Compiler

Compiled 387 to 281 computations (27.4% saved)

regimes51.0ms (1.1%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	y
23.0ms	x

Results

Error	Segments	Branch
26.6b	3	`x`
26.2b	3	`y`

Compiler

Compiled 103 to 53 computations (48.5% saved)

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.003517669883294046	1124.9115018639757
19.0ms	-449.6629664065444	-0.06939155392076253

Results

37.0ms

272×

body

256

valid

Compiler

Compiled 251 to 179 computations (28.7% saved)

regimes34.0ms (0.7%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

17.0ms	y
15.0ms	x

Results

Error	Segments	Branch
26.6b	3	`x`
26.2b	3	`y`

Compiler

Compiled 52 to 29 computations (44.2% saved)

bsearch40.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.003517669883294046	1124.9115018639757
19.0ms	-449.6629664065444	-0.06939155392076253

Results

37.0ms

272×

body

256

valid

Compiler

Compiled 251 to 179 computations (28.7% saved)

regimes31.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
14.0ms	x

Results

Error	Segments	Branch
26.6b	3	`x`
26.4b	3	`y`

Compiler

Compiled 45 to 26 computations (42.2% saved)

bsearch41.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1061433335.1641291	10774577976003034.0
19.0ms	-449.6629664065444	-0.06939155392076253

Results

38.0ms

272×

body

256

valid

Compiler

Compiled 217 to 179 computations (17.5% saved)

regimes7.0ms (0.1%)

Accuracy

Total -27.9b remaining (-81.1%)

Threshold costs -27.9b (-81.1%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(neg.f64 x)

Outputs
x

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Error	Segments	Branch
34.4b	1	`x`
34.4b	1	`y`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	161
1	58	161

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 -1900000000000000107709726720) (.f64 6 (/.f64 (/.f64 x y) y)) (if (<=.f64 y 550) (.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y)))) (*.f64 6 (/.f64 (/.f64 x y) y))))
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 6 (/.f64 (/.f64 x y) y)) (if (<=.f64 y 5404319552844595/2251799813685248) x (.f64 6 (/.f64 (/.f64 x y) y))))
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 5404319552844595/2251799813685248) x (.f64 6 (/.f64 x (.f64 y y)))))
(if (<=.f64 y -6980579422424269/2251799813685248) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 330000000000000) x (+.f64 (+.f64 x -1) 1)))
x

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
(if (<=.f64 y -1900000000000000107709726720) (.f64 6 (/.f64 (/.f64 x y) y)) (if (<=.f64 y 550) (.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y)))) (*.f64 6 (/.f64 (/.f64 x y) y))))
(if (<=.f64 y -1900000000000000107709726720) (.f64 6 (/.f64 (/.f64 x y) y)) (if (<=.f64 y 550) (.f64 x (+.f64 1 (.f64 (.f64 y y) -1/6))) (*.f64 6 (/.f64 (/.f64 x y) y))))
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 6 (/.f64 (/.f64 x y) y)) (if (<=.f64 y 5404319552844595/2251799813685248) x (.f64 6 (/.f64 (/.f64 x y) y))))
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 5404319552844595/2251799813685248) x (.f64 6 (/.f64 x (.f64 y y)))))
(if (<=.f64 y -6980579422424269/2251799813685248) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 330000000000000) x (+.f64 (+.f64 x -1) 1)))
(if (<=.f64 y -6980579422424269/2251799813685248) (+.f64 1 (+.f64 x -1)) (if (<=.f64 y 330000000000000) x (+.f64 1 (+.f64 x -1))))
x

Compiler

Compiled 126 to 79 computations (37.3% saved)

soundness0.0ms (0%)

end55.0ms (1.2%)

Compiler: Compiled 114 to 63 computations (44.7% saved)