Details

analyze70.0ms (1.2%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.4s (23.4%)

Results

738.0ms	6026×	body	256	valid
448.0ms	1371×	body	1024	valid
182.0ms	859×	body	512	valid

Bogosity

preprocess12.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 5 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series6.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite59.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

Outputs

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

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

simplify65.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1426×	`associate-*r/`
946×	`associate-*l/`
940×	`unswap-sqr`
744×	`associate-/l*`
524×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	1402
1	374	1382
2	1459	1364
3	7943	1364

Stop Event

1×	node limit

Counts

82 → 88

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

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

eval18.0ms (0.3%)

Compiler: Compiled 969 to 438 computations (54.8% saved)

prune18.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	79	9	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	10	89

Error

0.0b

Counts

89 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
	1.3b	(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 3)
	36.9b	(/.f64 (/.f64 (*.f64 x (sin.f64 y)) (sqrt.f64 y)) (sqrt.f64 y))
▶	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	7.6b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
	8.7b	(*.f64 (sin.f64 y) (/.f64 x y))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	30.3b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
▶	32.9b	(.f64 x (.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))))
	29.7b	x

Compiler

Compiled 191 to 125 computations (34.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 16 to 5 computations (68.8% saved)

series2.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite63.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

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

Outputs

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

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

simplify80.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

102 → 103

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 -1/6 (.f64 y y))
✓	3.3b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))

Compiler

Compiled 30 to 16 computations (46.7% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite100.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

107 → 118

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (sin.f64 y))
✓	0.4b	(/.f64 1 (/.f64 y (*.f64 x (sin.f64 y))))
✓	7.3b	(/.f64 y (*.f64 x (sin.f64 y)))

Compiler

Compiled 25 to 8 computations (68% saved)

series4.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

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

rewrite75.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	51
1	204	45
2	2655	45

Stop Event

1×	node limit

Counts

3 → 188

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 y x) (sin.f64 y))))))))

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

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

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

260 → 274

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
✓	6.2b	(sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))

Compiler

Compiled 33 to 9 computations (72.7% saved)

series11.0ms (0.2%)

Counts

2 → 8

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
1.0ms	y	@	-inf	(sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y)))
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 2)

rewrite77.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 211

Calls

Call 1

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

Outputs

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

simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

219 → 306

Calls

Call 1

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

Outputs
(sqrt.f64 x)
(+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (pow.f64 y 2) (sqrt.f64 x))))
(+.f64 (sqrt.f64 x) (.f64 -1/12 (.f64 (sqrt.f64 x) (*.f64 y y))))
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(exp.f64 (log.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 x (/.f64 (sin.f64 y) y))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 y) (/.f64 y x))))
(*.f64 x (/.f64 (sin.f64 y) y))

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y))
✓	0.2b	(/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
✓	0.6b	(cbrt.f64 (sin.f64 y))

Compiler

Compiled 63 to 21 computations (66.7% saved)

series10.0ms (0.2%)

Counts

4 → 16

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))
1.0ms	y	@	0	(/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))
1.0ms	y	@	inf	(cbrt.f64 (sin.f64 y))
1.0ms	y	@	-inf	(cbrt.f64 (sin.f64 y))
1.0ms	y	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y))

rewrite82.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`associate-/r*`
1050×	`associate-/l*`
946×	`*-commutative`
934×	`associate-*r/`
608×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	68
1	226	68
2	2842	68

Stop Event

1×	node limit

Counts

4 → 166

Calls

Call 1

Inputs
(cbrt.f64 (sin.f64 y))
(pow.f64 (cbrt.f64 (sin.f64 y)) 2)
(/.f64 (cbrt.f64 (sin.f64 y)) (sqrt.f64 y))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (sqrt.f64 y))

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

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1276×	`distribute-lft-neg-out`
1224×	`associate-/r/`
1014×	`distribute-rgt-neg-out`
724×	`associate-l`
716×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	311	4544
1	692	4248
2	3526	4248

Stop Event

1×	node limit

Counts

182 → 183

Calls

Call 1

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

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

eval334.0ms (5.7%)

Compiler: Compiled 18466 to 7599 computations (58.8% saved)

prune291.0ms (4.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1099	11	1110
Fresh	3	1	4
Picked	1	0	1
Done	2	3	5
Total	1105	15	1120

Error

Counts

1120 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	9.6b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) (/.f64 x y))) 3)
	8.5b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
▶	23.1b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
▶	0.3b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
	8.6b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
	37.2b	(/.f64 1 (/.f64 y (*.f64 y x)))
▶	29.8b	(/.f64 1 (/.f64 1 x))
▶	8.7b	(*.f64 (/.f64 x y) (sin.f64 y))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	30.3b	(.f64 x (+.f64 1 (+.f64 1 (-.f64 (.f64 -1/6 (*.f64 y y)) 1))))
✓	30.3b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
▶	62.6b	(.f64 x (.f64 -1/6 (*.f64 y y)))
	62.6b	(.f64 -1/6 (.f64 x (*.f64 y y)))
	29.7b	x

Compiler

Compiled 244 to 172 computations (29.5% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 13 computations (48% saved)

series1.0ms (0%)

Counts

3 → 40

Calls

12 calls:

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

rewrite73.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
1	203	39
2	2646	39

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

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

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

215 → 251

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify90.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

49 → 48

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(.f64 -1/6 (.f64 y y))
✓	7.5b	(.f64 x (.f64 -1/6 (*.f64 y y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

36 → 21

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 y y) 1/6)
✓	4.7b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))

Compiler

Compiled 30 to 16 computations (46.7% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite78.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`*-commutative`
880×	`associate-*r/`
752×	`associate-/r*`
616×	`associate-*l/`
590×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	210	34
2	2699	34

Stop Event

1×	node limit

Counts

2 → 88

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

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

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1718×	`associate-/l*`
1484×	`associate-*r/`
866×	`*-commutative`
830×	`associate-*l/`
688×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	4118
1	726	3864
2	2501	3850

Stop Event

1×	node limit

Counts

124 → 160

Calls

Call 1

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite86.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

47 → 39

Calls

Call 1

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

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

eval130.0ms (2.2%)

Compiler: Compiled 7374 to 4063 computations (44.9% saved)

prune192.0ms (3.3%)

Pruning

20 alts after pruning (12 fresh and 8 done)

	Pruned	Kept	Total
New	534	8	542
Fresh	3	4	7
Picked	0	1	1
Done	0	7	7
Total	537	20	557

Error

Counts

557 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	9.6b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3)
▶	8.5b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	23.1b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
	23.1b	(/.f64 x (+.f64 1 (.f64 y (.f64 1/6 y))))
✓	0.3b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
	8.6b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
✓	29.8b	(/.f64 1 (/.f64 1 x))
▶	35.9b	(-.f64 (+.f64 1 x) 1)
▶	55.5b	(*.f64 (/.f64 x y) (/.f64 6 y))
✓	8.7b	(*.f64 (/.f64 x y) (sin.f64 y))
	62.5b	(.f64 y (.f64 x (*.f64 -1/6 y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
▶	30.3b	(.f64 x (+.f64 1 (+.f64 1 (-.f64 (.f64 -1/6 (*.f64 y y)) 1))))
✓	30.3b	(.f64 x (+.f64 1 (.f64 -1/6 (*.f64 y y))))
✓	62.6b	(.f64 x (.f64 -1/6 (*.f64 y y)))
▶	55.6b	(.f64 6 (/.f64 x (.f64 y y)))
	62.5b	(.f64 -1/6 (.f64 y (*.f64 y x)))
	50.6b	(sqrt.f64 (*.f64 x x))
	29.7b	x

Compiler

Compiled 283 to 200 computations (29.3% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.0b	(/.f64 (sin.f64 y) (/.f64 y x))

Compiler

Compiled 15 to 5 computations (66.7% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite67.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	169	17
2	2361	17

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

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

Outputs

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

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1362×	`associate-*r/`
946×	`associate-*l/`
790×	`associate-+l-`
770×	`associate-/l*`
714×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1340
1	354	1316
2	1345	1304
3	6337	1304

Stop Event

1×	node limit

Counts

66 → 62

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.8b	(-.f64 (+.f64 1 x) 1)

Compiler

Compiled 12 to 9 computations (25% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

49 → 45

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 6 (/.f64 x (.f64 y y)))
✓	7.5b	(/.f64 x (*.f64 y y))

Compiler

Compiled 20 to 7 computations (65% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(.f64 6 (/.f64 x (.f64 y y)))
0.0ms	x	@	inf	(/.f64 x (*.f64 y y))
0.0ms	x	@	-inf	(/.f64 x (*.f64 y y))
0.0ms	x	@	0	(/.f64 x (*.f64 y y))
0.0ms	x	@	-inf	(.f64 6 (/.f64 x (.f64 y y)))

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`add-sqr-sqrt`
1720×	`*-un-lft-identity`
1612×	`add-cube-cbrt`
1594×	`add-cbrt-cube`
166×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	169	32
2	2233	32

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

978×	`associate-/l*`
924×	`times-frac`
906×	`associate-+r-`
906×	`associate-+l-`
802×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1785
1	363	1773
2	1347	1761
3	6268	1761

Stop Event

1×	node limit

Counts

105 → 73

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

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

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1868×	`add-sqr-sqrt`
1840×	`*-un-lft-identity`
1728×	`add-cube-cbrt`
1704×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	176	19
2	2329	19

Stop Event

1×	node limit

Counts

1 → 46

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1222×	`associate-+l+`
1192×	`associate-/r*`
1074×	`associate-+r+`
1028×	`associate-/l*`
818×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	120	1334
1	297	1334
2	1124	1334
3	4455	1334

Stop Event

1×	node limit

Counts

70 → 50

Calls

Call 1

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

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

localize29.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(.f64 -1/6 (.f64 y y))
✓	2.4b	(+.f64 1 (-.f64 (.f64 -1/6 (.f64 y y)) 1))
✓	3.3b	(.f64 x (+.f64 1 (+.f64 1 (-.f64 (.f64 -1/6 (*.f64 y y)) 1))))

Compiler

Compiled 54 to 34 computations (37% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite78.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`associate-*l/`
476×	`associate-+l+`
450×	`associate-/r*`
386×	`associate-+r+`
352×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	274	34
2	3862	34

Stop Event

1×	node limit

Counts

2 → 155

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x (*.f64 -1/6 (*.f64 y y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 2) (*.f64 x (fma.f64 -1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) -1)) (*.f64 x 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) -1)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 x) (*.f64 (fma.f64 -1/6 (*.f64 y y) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/6 (*.f64 y y) -1) x) (*.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (fma.f64 -1/6 (*.f64 y y) -1) x) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (*.f64 x (fma.f64 -1/6 (*.f64 y y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x x) (*.f64 (fma.f64 -1/6 (*.f64 y y) -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 -1/6 (*.f64 y y) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 x (*.f64 -1/6 (*.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (*.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 -1/6 (*.f64 y y))) (exp.f64 (log1p.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 (fma.f64 -1/6 (*.f64 y y) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 1/36 (pow.f64 y 4))) (/.f64 (-.f64 1 (*.f64 -1/6 (*.f64 y y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 -1/216 (pow.f64 (*.f64 y y) 3))) (/.f64 (-.f64 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simplify135.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1488×	`associate-*l/`
1100×	`associate-+l+`
888×	`associate-+r+`
680×	`+-commutative`
666×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	416	8369
1	1127	7829
2	4733	7823

Stop Event

1×	node limit

Counts

191 → 241

Calls

Call 1

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

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

eval189.0ms (3.2%)

Compiler: Compiled 8923 to 5817 computations (34.8% saved)

prune144.0ms (2.5%)

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	485	9	494
Fresh	1	6	7
Picked	0	1	1
Done	2	10	12
Total	488	26	514

Error

Counts

514 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	9.6b	(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (sin.f64 y))) 3)
	55.5b	(/.f64 (/.f64 (*.f64 x 6) y) y)
	55.5b	(/.f64 (/.f64 x (*.f64 y 1/6)) y)
	55.5b	(/.f64 (/.f64 x y) (*.f64 y 1/6))
	55.5b	(/.f64 (*.f64 (/.f64 6 y) (neg.f64 x)) (neg.f64 y))
✓	8.5b	(/.f64 (sin.f64 y) (/.f64 y x))
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	23.1b	(/.f64 x (+.f64 1 (.f64 (.f64 y y) 1/6)))
✓	0.3b	(/.f64 x (*.f64 (/.f64 1 (sin.f64 y)) y))
	55.6b	(/.f64 x (.f64 (.f64 y 1/6) y))
	55.5b	(/.f64 6 (*.f64 (/.f64 y x) y))
	8.6b	(/.f64 1 (/.f64 (/.f64 y x) (sin.f64 y)))
✓	29.8b	(/.f64 1 (/.f64 1 x))
	36.0b	(+.f64 (+.f64 x -1) 1)
✓	55.5b	(*.f64 (/.f64 x y) (/.f64 6 y))
✓	8.7b	(*.f64 (/.f64 x y) (sin.f64 y))
	62.5b	(.f64 y (.f64 x (*.f64 -1/6 y)))
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	30.3b	(.f64 x (+.f64 1 (+.f64 1 (-.f64 (.f64 -1/6 (*.f64 y y)) 1))))
	30.3b	(.f64 x (+.f64 1 (.f64 (*.f64 -1/6 y) y)))
✓	62.6b	(.f64 x (.f64 -1/6 (*.f64 y y)))
✓	55.6b	(.f64 6 (/.f64 x (.f64 y y)))
	55.5b	(.f64 6 (.f64 (/.f64 x y) (/.f64 1 y)))
	62.5b	(.f64 -1/6 (.f64 y (*.f64 y x)))
	50.6b	(sqrt.f64 (*.f64 x x))
	29.7b	x

Compiler

Compiled 235 to 164 computations (30.2% saved)

regimes74.0ms (1.3%)

Counts

38 → 1

Calls

Call 1

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

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

Calls

4 calls:

20.0ms	x
18.0ms	y
16.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
14.0ms	(/.f64 (sin.f64 y) y)

Results

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

Compiler

Compiled 310 to 156 computations (49.7% saved)

regimes29.0ms (0.5%)

Counts

24 → 1

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	y
12.0ms	x

Results

Error	Segments	Branch
23.1b	1	`x`
23.1b	1	`y`

Compiler

Compiled 179 to 106 computations (40.8% saved)

regimes41.0ms (0.7%)

Counts

19 → 3

Calls

Call 1

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

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

Calls

2 calls:

28.0ms	y
10.0ms	x

Results

Error	Segments	Branch
29.7b	1	`x`
23.0b	3	`y`

Compiler

Compiled 135 to 78 computations (42.2% saved)

bsearch46.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	2.4534318483478063e+26	5.144994579038552e+29
23.0ms	-211247152820.0984	-24.923210799208956

Results

42.0ms

288×

body

256

valid

Compiler

Compiled 409 to 297 computations (27.4% saved)

regimes37.0ms (0.6%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

2 calls:

25.0ms	y
8.0ms	x

Results

Error	Segments	Branch
29.7b	1	`x`
23.3b	3	`y`

Compiler

Compiled 117 to 67 computations (42.7% saved)

bsearch36.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.27801806633995885	1217544.6883135505
15.0ms	-24.923210799208956	-0.19759680089486562

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 237 to 169 computations (28.7% saved)

regimes30.0ms (0.5%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	y
6.0ms	x

Results

Error	Segments	Branch
29.7b	1	`x`
23.3b	3	`y`

Compiler

Compiled 73 to 43 computations (41.1% saved)

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	0.27801806633995885	1217544.6883135505
16.0ms	-24.923210799208956	-0.19759680089486562

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 237 to 169 computations (28.7% saved)

regimes23.0ms (0.4%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

15.0ms	y
5.0ms	x

Results

Error	Segments	Branch
29.7b	1	`x`
23.4b	3	`y`

Compiler

Compiled 59 to 36 computations (39% saved)

bsearch35.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.27801806633995885	1217544.6883135505
15.0ms	-24.923210799208956	-0.19759680089486562

Results

32.0ms

256×

body

256

valid

Compiler

Compiled 237 to 169 computations (28.7% saved)

regimes19.0ms (0.3%)

Accuracy

Total -39.3b remaining (-167.3%)

Threshold costs -39.3b (-167.3%)

Counts

6 → 3

Calls

Call 1

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

13.0ms	y
4.0ms	x

Results

Error	Segments	Branch
29.7b	1	`x`
23.5b	3	`y`

Compiler

Compiled 38 to 26 computations (31.6% saved)

bsearch33.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	7.524424346584408e+37	3.098208092453025e+39
18.0ms	-770584591549226.4	-211247152820.0984

Results

31.0ms

240×

body

256

valid

Compiler

Compiled 193 to 159 computations (17.6% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
8×	`+-commutative`
6×	`if-if-or-not`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	310
1	79	310

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (.f64 y (.f64 1/6 y))))
(if (<=.f64 y -16500000000) (.f64 (/.f64 x y) (/.f64 6 y)) (if (<=.f64 y 1699999999999999995101052928) (.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 6 (*.f64 (/.f64 y x) y))))
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 (/.f64 x y) (/.f64 6 y)) (if (<=.f64 y 5/2) x (/.f64 6 (.f64 (/.f64 y x) y))))
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 (/.f64 x y) (/.f64 6 y)) (if (<=.f64 y 5/2) x (.f64 (/.f64 x y) (/.f64 6 y))))
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 5/2) x (.f64 6 (/.f64 x (.f64 y y)))))
(if (<=.f64 y -16200000000000) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 129999999999999995184506177344986152960) x (+.f64 (+.f64 x -1) 1)))
x

Outputs
(*.f64 x (/.f64 (sin.f64 y) y))
(/.f64 x (+.f64 1 (.f64 y (.f64 1/6 y))))
(/.f64 x (+.f64 1 (.f64 y (.f64 y 1/6))))
(if (<=.f64 y -16500000000) (.f64 (/.f64 x y) (/.f64 6 y)) (if (<=.f64 y 1699999999999999995101052928) (.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 6 (*.f64 (/.f64 y x) y))))
(if (<=.f64 y -16500000000) (.f64 (/.f64 x y) (/.f64 6 y)) (if (<=.f64 y 1699999999999999995101052928) (.f64 x (+.f64 1 (.f64 -1/6 (.f64 y y)))) (/.f64 6 (*.f64 y (/.f64 y x)))))
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 (/.f64 x y) (/.f64 6 y)) (if (<=.f64 y 5/2) x (/.f64 6 (.f64 (/.f64 y x) y))))
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 (/.f64 x y) (/.f64 6 y)) (if (<=.f64 y 5/2) x (/.f64 6 (.f64 y (/.f64 y x)))))
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 (/.f64 x y) (/.f64 6 y)) (if (<=.f64 y 5/2) x (.f64 (/.f64 x y) (/.f64 6 y))))
(if (or (<=.f64 y -5404319552844595/2251799813685248) (not (<=.f64 y 5/2))) (*.f64 (/.f64 x y) (/.f64 6 y)) x)
(if (<=.f64 y -5404319552844595/2251799813685248) (.f64 6 (/.f64 x (.f64 y y))) (if (<=.f64 y 5/2) x (.f64 6 (/.f64 x (.f64 y y)))))
(if (or (<=.f64 y -5404319552844595/2251799813685248) (not (<=.f64 y 5/2))) (.f64 6 (/.f64 x (.f64 y y))) x)
(if (<=.f64 y -16200000000000) (+.f64 (+.f64 x -1) 1) (if (<=.f64 y 129999999999999995184506177344986152960) x (+.f64 (+.f64 x -1) 1)))
(if (or (<=.f64 y -16200000000000) (not (<=.f64 y 129999999999999995184506177344986152960))) (+.f64 1 (+.f64 x -1)) x)
x

Compiler

Compiled 135 to 92 computations (31.9% saved)

soundness0.0ms (0%)

end64.0ms (1.1%)

Compiler: Compiled 121 to 73 computations (39.7% saved)