Details

analyze231.0ms (0.7%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
25%	25%	74.9%	0.1%	0%	0%	0%	7
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	8
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	9
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	10
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	11
65.6%	65.5%	34.3%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample2.4s (7.4%)

Results

1.0s	2131×	body	1024	valid
959.0ms	5072×	body	256	valid
357.0ms	1049×	body	512	valid
3.0ms	4×	body	2048	valid

Bogosity

preprocess15.0ms (0%)

Algorithm

2×	egg-herbie

Rules

16×	`fma-def_binary64`
8×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	38	48
2	50	48
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 y (sin.f64 x)) (.f64 z (cos.f64 x)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 z)) (.f64 y (cos.f64 z)))

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 y (sin.f64 x)) (.f64 z (cos.f64 x)))
(fma.f64 y (sin.f64 x) (*.f64 z (cos.f64 x)))
(+.f64 (.f64 z (sin.f64 y)) (.f64 x (cos.f64 y)))
(fma.f64 z (sin.f64 y) (*.f64 x (cos.f64 y)))
(fma.f64 x (cos.f64 y) (*.f64 (sin.f64 y) z))
(+.f64 (.f64 x (sin.f64 z)) (.f64 y (cos.f64 z)))
(fma.f64 x (sin.f64 z) (*.f64 y (cos.f64 z)))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	16	12

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))

eval1.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize10.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series21.0ms (0.1%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(*.f64 x (sin.f64 y))
2.0ms	x	@	0	(*.f64 x (sin.f64 y))
2.0ms	z	@	-inf	(*.f64 z (cos.f64 y))
2.0ms	z	@	0	(*.f64 z (cos.f64 y))
2.0ms	x	@	inf	(*.f64 x (sin.f64 y))

Compiler

Compiled 662 to 495 computations (25.2% saved)

rewrite46.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
657×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	155	12
2	1836	12

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

Inputs
(*.f64 x (sin.f64 y))
(*.f64 z (cos.f64 y))

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

Outputs

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

simplify39.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

740×	`log-prod_binary64`
678×	`distribute-rgt-in_binary64`
661×	`associate-l_binary64`
576×	`associate-r_binary64`
287×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	492
1	272	487
2	884	472
3	4493	471

Stop Event

1×	node limit

Counts

66 → 59

Calls

Call 1

Inputs
(*.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 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (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))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))

Outputs
(*.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)))
(fma.f64 y x (.f64 (.f64 -1/6 (pow.f64 y 3)) x))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) y))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 (*.f64 -1/6 (pow.f64 y 3)) x)))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) y) (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 (.f64 -1/6 (pow.f64 y 3)) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 -1/5040 (pow.f64 y 7))) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 x (+.f64 (fma.f64 -1/5040 (pow.f64 y 7) (.f64 -1/6 (pow.f64 y 3))) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (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 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 (.f64 (.f64 -1/2 y) y) z z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(.f64 z (fma.f64 (.f64 y -1/2) y 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (.f64 1/24 (.f64 z (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 1/24 (pow.f64 y 4) 1)))
(.f64 z (+.f64 (fma.f64 (.f64 y -1/2) y 1) (*.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) (.f64 -1/720 (*.f64 z (pow.f64 y 6)))))
(+.f64 (fma.f64 (.f64 (.f64 -1/2 y) y) z z) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) (.f64 -1/720 (*.f64 z (pow.f64 y 6)))))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) z (.f64 z (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/720 (pow.f64 y 6)))))
(.f64 z (+.f64 (fma.f64 (.f64 y -1/2) y 1) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 -1/720 (pow.f64 y 6)))))
(-.f64 (+.f64 1 (*.f64 x (sin.f64 y))) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(*.f64 (sin.f64 y) x)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(*.f64 (sin.f64 y) x)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(*.f64 (sin.f64 y) x)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(*.f64 (sin.f64 y) x)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(*.f64 (sin.f64 y) x)
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3)))
(*.f64 (sin.f64 y) x)
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))
(*.f64 (sin.f64 y) x)
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(*.f64 (sin.f64 y) x)
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cos.f64 y) z)

eval16.0ms (0%)

Compiler: Compiled 953 to 455 computations (52.3% saved)

prune17.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	51	8	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	9	60

Error

0.1b

Counts

60 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.6b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	30.8b	(+.f64 (+.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 z (cos.f64 y)))
	23.8b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
	31.4b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
▶	0.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	28.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
▶	28.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
▶	15.2b	(+.f64 (*.f64 x (sin.f64 y)) z)

Compiler

Compiled 276 to 198 computations (28.3% saved)

localize15.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series3.6s (11.3%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.2s	z	@	-inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
814.0ms	z	@	inf	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
798.0ms	z	@	0	(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
308.0ms	z	@	-inf	(cbrt.f64 (*.f64 z (cos.f64 y)))
247.0ms	z	@	inf	(cbrt.f64 (*.f64 z (cos.f64 y)))

Compiler

Compiled 315071 to 256230 computations (18.7% saved)

rewrite61.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
581×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1669	14

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))

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

Outputs

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

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

simplify48.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

713×	`fma-def_binary64`
683×	`associate-/l*_binary64`
629×	`associate-/r*_binary64`
260×	`distribute-rgt-in_binary64`
259×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	1964
1	592	1416
2	2075	889

Stop Event

1×	node limit

Counts

76 → 88

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/6 z) (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)))) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/6 z) (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)))) (+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 z 2) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2)))))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) z) (pow.f64 (pow.f64 z 1/3) 2))))) (pow.f64 y 4))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/6 z) (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)))) (+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 z 1/3) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 z 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 (pow.f64 z 1/3) z)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 z (pow.f64 z 1/3))) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 3))))))) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/9 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) z) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2))))) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 (pow.f64 z 1/3) z)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 z (pow.f64 z 1/3))) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 3))))))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 z 2) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) z) (pow.f64 (pow.f64 z 1/3) 2)))))) (pow.f64 y 6)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 z 2) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2)))))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (*.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) z) (pow.f64 (pow.f64 z 1/3) 2))))) (pow.f64 y 4)))))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(pow.f64 z 1/3)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (pow.f64 z 1/3))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 y 4)) (pow.f64 (pow.f64 z 1/3) 2))) (pow.f64 z 1/3)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 y 4)) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 (pow.f64 z 1/3) z)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 z (pow.f64 z 1/3))) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (*.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 3)))))) (pow.f64 y 6)) (pow.f64 (pow.f64 z 1/3) 2))))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 1 (.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 z (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 1)
(.f64 1 (cbrt.f64 (.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z (cos.f64 y))))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))

Outputs
(*.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3))
(pow.f64 (cbrt.f64 z) 3)
z
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/6 z) (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)))) (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)))
(fma.f64 (.f64 y y) (fma.f64 -1/6 z (.f64 (cbrt.f64 z) (.f64 -1/6 (+.f64 (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (*.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))))) (pow.f64 (cbrt.f64 z) 3))
(fma.f64 (.f64 y y) (fma.f64 (cbrt.f64 z) (.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) -1/3) (*.f64 z -1/6)) z)
(fma.f64 y (*.f64 y (fma.f64 z -1/6 (/.f64 z -3))) z)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/6 z) (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)))) (+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 z 2) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2)))))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) z) (pow.f64 (pow.f64 z 1/3) 2))))) (pow.f64 y 4))))
(+.f64 (fma.f64 (.f64 y y) (fma.f64 -1/6 z (.f64 (cbrt.f64 z) (.f64 -1/6 (+.f64 (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))))) (pow.f64 (cbrt.f64 z) 3)) (.f64 (fma.f64 (fma.f64 1/36 (/.f64 (.f64 z z) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (.f64 2/3 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))))) (cbrt.f64 z) (fma.f64 1/3 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (.f64 -1/6 (/.f64 (.f64 -1/6 (+.f64 (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) z))))) (pow.f64 y 4)))
(fma.f64 (.f64 y y) (fma.f64 (cbrt.f64 z) (.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) -1/3) (.f64 z -1/6)) (fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (/.f64 (.f64 1/36 (.f64 z z)) (.f64 z (cbrt.f64 z)))) (fma.f64 1/3 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (.f64 -1/6 (.f64 (/.f64 (.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) -1/3) (pow.f64 (cbrt.f64 z) 2)) z)))) (pow.f64 y 4) z))
(fma.f64 (fma.f64 1/3 (fma.f64 z 1/24 (.f64 z -1/12)) (fma.f64 -1/6 (/.f64 z -3) (+.f64 (.f64 z 1/36) (/.f64 2/3 (/.f64 1 (fma.f64 z 1/24 (.f64 z -1/12))))))) (pow.f64 y 4) (fma.f64 y (.f64 y (fma.f64 z -1/6 (/.f64 z -3))) z))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/6 z) (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)))) (+.f64 (.f64 (pow.f64 (pow.f64 z 1/3) 2) (pow.f64 z 1/3)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 z 1/3) (+.f64 (.f64 2/3 (/.f64 (.f64 (pow.f64 z 1/3) (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 (pow.f64 z 1/3) z)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 z (pow.f64 z 1/3))) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 3))))))) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/9 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) z) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2))))) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 (pow.f64 z 1/3) z)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 z (pow.f64 z 1/3))) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 3))))))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 z 2) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) z) (pow.f64 (pow.f64 z 1/3) 2)))))) (pow.f64 y 6)) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/36 (/.f64 (pow.f64 z 2) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 2/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) (pow.f64 z 1/3)) (+.f64 (.f64 1/3 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2)))))) (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 z 1/3) z) (pow.f64 (pow.f64 z 1/3) 2))) (.f64 -1/6 (/.f64 (*.f64 z (pow.f64 z 1/3)) (pow.f64 (pow.f64 z 1/3) 2)))) z) (pow.f64 (pow.f64 z 1/3) 2))))) (pow.f64 y 4)))))
(+.f64 (fma.f64 (.f64 y y) (fma.f64 -1/6 z (.f64 (cbrt.f64 z) (.f64 -1/6 (+.f64 (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))))) (pow.f64 (cbrt.f64 z) 3)) (fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (/.f64 (cbrt.f64 z) (/.f64 (pow.f64 (cbrt.f64 z) 2) (-.f64 (.f64 z -1/720) (fma.f64 -1/6 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2) (.f64 z (cbrt.f64 z)))) (fma.f64 -1/6 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2) (.f64 z (cbrt.f64 z)))) (.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 3)))))))) (.f64 -1/9 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2) z)))) (fma.f64 1/3 (/.f64 (.f64 (.f64 -1/6 (+.f64 (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))) (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12))) (pow.f64 (cbrt.f64 z) 2)) (fma.f64 1/3 (-.f64 (.f64 z -1/720) (fma.f64 -1/6 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2) (.f64 z (cbrt.f64 z)))) (fma.f64 -1/6 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2) (.f64 z (cbrt.f64 z)))) (.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 3)))))) (.f64 -1/6 (/.f64 (fma.f64 1/36 (/.f64 (.f64 z z) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (.f64 2/3 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))))) (/.f64 (pow.f64 (cbrt.f64 z) 2) z)))))) (pow.f64 y 6) (.f64 (fma.f64 (fma.f64 1/36 (/.f64 (.f64 z z) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) (.f64 2/3 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))))) (cbrt.f64 z) (fma.f64 1/3 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (.f64 -1/6 (/.f64 (.f64 -1/6 (+.f64 (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)) (/.f64 (.f64 z (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) 2)))) (/.f64 (pow.f64 (cbrt.f64 z) 2) z))))) (pow.f64 y 4))))
(+.f64 (fma.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (/.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) 2)) (-.f64 (.f64 z -1/720) (+.f64 (.f64 -1/216 (/.f64 (pow.f64 z 3) (.f64 z z))) (.f64 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (.f64 z (cbrt.f64 z))) (.f64 z (cbrt.f64 z))) -1/3)))) (.f64 -1/9 (/.f64 z (/.f64 (.f64 z (cbrt.f64 z)) (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)))))) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (pow.f64 (cbrt.f64 z) 2)) (.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) -1/3)) (fma.f64 1/3 (-.f64 (.f64 z -1/720) (+.f64 (.f64 -1/216 (/.f64 (pow.f64 z 3) (.f64 z z))) (.f64 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (.f64 z (cbrt.f64 z))) (.f64 z (cbrt.f64 z))) -1/3))) (.f64 -1/6 (.f64 (/.f64 (fma.f64 2/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (/.f64 (.f64 1/36 (.f64 z z)) (.f64 z (cbrt.f64 z)))) (pow.f64 (cbrt.f64 z) 2)) z))))) (pow.f64 y 6) (.f64 (fma.f64 (cbrt.f64 z) (fma.f64 2/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z)) (/.f64 (.f64 1/36 (.f64 z z)) (.f64 z (cbrt.f64 z)))) (fma.f64 1/3 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (.f64 -1/6 (.f64 (/.f64 (.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) -1/3) (pow.f64 (cbrt.f64 z) 2)) z)))) (pow.f64 y 4))) (fma.f64 (.f64 y y) (fma.f64 (cbrt.f64 z) (.f64 (/.f64 z (/.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z))) -1/3) (.f64 z -1/6)) z))
(fma.f64 y (.f64 y (fma.f64 z -1/6 (/.f64 z -3))) (fma.f64 (fma.f64 1/3 (fma.f64 z 1/24 (.f64 z -1/12)) (fma.f64 -1/6 (/.f64 z -3) (+.f64 (.f64 z 1/36) (/.f64 2/3 (/.f64 1 (fma.f64 z 1/24 (.f64 z -1/12))))))) (pow.f64 y 4) (fma.f64 (fma.f64 2/3 (/.f64 (-.f64 (.f64 z -1/720) (fma.f64 z -1/216 (-.f64 (/.f64 z -72) (/.f64 z -36)))) 1) (fma.f64 (+.f64 (/.f64 z 24) (.f64 z -1/12)) -1/9 (fma.f64 1/3 (-.f64 (.f64 z -1/720) (fma.f64 z -1/216 (-.f64 (/.f64 z -72) (/.f64 z -36)))) (fma.f64 -1/6 (+.f64 (.f64 z 1/36) (/.f64 2/3 (/.f64 1 (fma.f64 z 1/24 (.f64 z -1/12))))) (/.f64 (fma.f64 z 1/24 (.f64 z -1/12)) -9))))) (pow.f64 y 6) z)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/3) 2) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (pow.f64 z 1/3))
(fma.f64 -1/6 (/.f64 (*.f64 y y) (/.f64 (pow.f64 (cbrt.f64 z) 2) z)) (cbrt.f64 z))
(fma.f64 -1/6 (.f64 (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 z) 2)) z) (cbrt.f64 z))
(fma.f64 -1/6 (.f64 (cbrt.f64 z) (.f64 y y)) (cbrt.f64 z))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (*.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 y 4)) (pow.f64 (pow.f64 z 1/3) 2))) (pow.f64 z 1/3)))
(fma.f64 -1/6 (/.f64 (.f64 y y) (/.f64 (pow.f64 (cbrt.f64 z) 2) z)) (fma.f64 1/3 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (*.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 y 4))) (cbrt.f64 z)))
(fma.f64 -1/6 (.f64 (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 z) 2)) z) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (*.f64 z (cbrt.f64 z))) -1/12)) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 y 4)) (cbrt.f64 z)))
(fma.f64 1/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 z -1/12)) (/.f64 z (cbrt.f64 z))) (pow.f64 y 4)) (fma.f64 -1/6 (.f64 (cbrt.f64 z) (.f64 y y)) (cbrt.f64 z)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (pow.f64 y 4)) (pow.f64 (pow.f64 z 1/3) 2))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 -1/720 z) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 (pow.f64 z 1/3) z)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (-.f64 (.f64 1/24 z) (+.f64 (.f64 1/36 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (.f64 1/18 (/.f64 (.f64 (pow.f64 z 2) (pow.f64 z 1/3)) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))))) (.f64 z (pow.f64 z 1/3))) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 2))) (*.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (pow.f64 z 1/3) 2) 3)))))) (pow.f64 y 6)) (pow.f64 (pow.f64 z 1/3) 2))))))
(fma.f64 -1/6 (/.f64 (.f64 y y) (/.f64 (pow.f64 (cbrt.f64 z) 2) z)) (+.f64 (fma.f64 1/3 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 y 4))) (cbrt.f64 z)) (.f64 1/3 (/.f64 (-.f64 (.f64 z -1/720) (fma.f64 -1/6 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2) (.f64 z (cbrt.f64 z)))) (fma.f64 -1/6 (/.f64 (-.f64 (.f64 z 1/24) (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2)) 1/12)) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 z) 2) 2) (.f64 z (cbrt.f64 z)))) (.f64 -1/216 (/.f64 (pow.f64 z 3) (pow.f64 (pow.f64 (cbrt.f64 z) 2) 3)))))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 y 6))))))
(fma.f64 -1/6 (.f64 (/.f64 (.f64 y y) (pow.f64 (cbrt.f64 z) 2)) z) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (pow.f64 (cbrt.f64 z) 2)) (pow.f64 y 4)) (fma.f64 1/3 (/.f64 (-.f64 (.f64 z -1/720) (+.f64 (.f64 -1/216 (/.f64 (pow.f64 z 3) (.f64 z z))) (.f64 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 (/.f64 (.f64 (cbrt.f64 z) (.f64 z z)) (.f64 z (cbrt.f64 z))) -1/12)) (.f64 z (cbrt.f64 z))) (.f64 z (cbrt.f64 z))) -1/3))) (/.f64 (pow.f64 (cbrt.f64 z) 2) (pow.f64 y 6))) (cbrt.f64 z))))
(fma.f64 -1/6 (.f64 (cbrt.f64 z) (.f64 y y)) (fma.f64 1/3 (.f64 (/.f64 (fma.f64 z 1/24 (.f64 z -1/12)) (/.f64 z (cbrt.f64 z))) (pow.f64 y 4)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 6) (/.f64 z (cbrt.f64 z))) (-.f64 (.f64 z -1/720) (fma.f64 z -1/216 (-.f64 (/.f64 z -72) (/.f64 z -36))))) (cbrt.f64 z))))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 z) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(.f64 (cbrt.f64 z) (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) 3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1) (cbrt.f64 (.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 z)) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 z) (.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) (cbrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (pow.f64 (.f64 z (cos.f64 y)) 1/6)) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 z (cos.f64 y)))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 1 (cbrt.f64 (.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2) 1/3))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 z))
(*.f64 (cbrt.f64 z) (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/6) (pow.f64 (*.f64 z (cos.f64 y)) 1/6))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 z (cos.f64 y))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1/3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(pow.f64 (*.f64 z (cos.f64 y)) 1/3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))) 3)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/6) 2)
(cbrt.f64 (*.f64 z (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (*.f64 z (cos.f64 y)))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.1b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
✓	41.1b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series43.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	y	@	0	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
9.0ms	y	@	inf	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
4.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
4.0ms	z	@	-inf	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
4.0ms	z	@	0	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 1967 to 1519 computations (22.8% saved)

rewrite46.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`pow1_binary64`
603×	`add-log-exp_binary64`
603×	`log1p-expm1-u_binary64`
603×	`expm1-log1p-u_binary64`
586×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	168	15
2	1728	15

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(pow.f64 (*.f64 z (cos.f64 y)) 3)

Outputs

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

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

simplify66.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

467×	`associate-/r*_binary64`
456×	`distribute-rgt-in_binary64`
449×	`associate-/l*_binary64`
445×	`distribute-lft-in_binary64`
225×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	1998
1	591	1281
2	2478	1162

Stop Event

1×	node limit

Counts

102 → 98

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z))))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2)))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2)))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 3) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 3)))))) (pow.f64 y 6)) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(*.f64 (pow.f64 z 2) z)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (.f64 (pow.f64 z 2) z))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (.f64 (pow.f64 z 2) z)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (+.f64 (.f64 (pow.f64 z 2) z) (.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z))))) (pow.f64 y 6)))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(.f64 1 (.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1)
(.f64 z (.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (cos.f64 y) (.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1)
(.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1) (.f64 z (cos.f64 y)))
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 z (cos.f64 y)))))

Outputs
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z) (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z) (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z) (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z) (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (neg.f64 (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)
(cbrt.f64 (pow.f64 z 3))
z
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))
(fma.f64 1/3 (/.f64 (.f64 (.f64 y y) (*.f64 (pow.f64 z 3) -3/2)) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (cbrt.f64 (pow.f64 z 3)))
(fma.f64 1/3 (/.f64 y (/.f64 (*.f64 (/.f64 z (pow.f64 z 3)) (/.f64 z -3/2)) y)) z)
(fma.f64 1/3 (.f64 (/.f64 (.f64 y y) z) (/.f64 -3/2 (/.f64 z (pow.f64 z 3)))) z)
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)))
(fma.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (+.f64 (fma.f64 (.f64 (.f64 z z) 1/3) z (.f64 (pow.f64 z 3) 13/24)) (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 (pow.f64 z 3)) (pow.f64 (.f64 (pow.f64 z 3) -3/2) 2)) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2))))) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (fma.f64 1/3 (/.f64 (.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2)) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (cbrt.f64 (pow.f64 z 3))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 4) z) (/.f64 (-.f64 (fma.f64 (pow.f64 z 3) 13/24 (.f64 (pow.f64 z 3) 1/3)) (/.f64 (.f64 (.f64 (pow.f64 (.f64 z z) 3) 9/4) 1/3) (/.f64 (pow.f64 z 4) z))) z)) (fma.f64 1/3 (/.f64 y (/.f64 (.f64 (/.f64 z (pow.f64 z 3)) (/.f64 z -3/2)) y)) z))
(+.f64 z (.f64 (/.f64 1/3 z) (+.f64 (/.f64 (pow.f64 z 3) (/.f64 z (.f64 -3/2 (.f64 y y)))) (/.f64 (pow.f64 y 4) (/.f64 z (+.f64 (.f64 (pow.f64 z 3) 7/8) (.f64 (.f64 (/.f64 (*.f64 (pow.f64 z 6) 9/4) (pow.f64 z 4)) z) -1/3)))))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z))))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2)))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) (.f64 (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2)))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 3) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 3)))))) (pow.f64 y 6)) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))))
(fma.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (+.f64 (fma.f64 (.f64 (.f64 z z) 1/3) z (.f64 (pow.f64 z 3) 13/24)) (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 (pow.f64 z 3)) (pow.f64 (.f64 (pow.f64 z 3) -3/2) 2)) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2))))) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/24 (pow.f64 z 3) (fma.f64 (.f64 (.f64 z z) -2/45) z (.f64 -1/2 (.f64 z (.f64 (.f64 z z) 1/3)))))) (fma.f64 1/3 (/.f64 (+.f64 (fma.f64 (.f64 (.f64 z z) 1/3) z (.f64 (pow.f64 z 3) 13/24)) (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 (pow.f64 z 3)) (pow.f64 (.f64 (pow.f64 z 3) -3/2) 2)) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2)))) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2) (.f64 (cbrt.f64 (pow.f64 z 3)) (.f64 (pow.f64 z 3) -3/2)))) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 z 3) -3/2) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2) (.f64 (cbrt.f64 (pow.f64 z 3)) (+.f64 (fma.f64 (.f64 (.f64 z z) 1/3) z (.f64 (pow.f64 z 3) 13/24)) (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 (pow.f64 z 3)) (pow.f64 (.f64 (pow.f64 z 3) -3/2) 2)) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2))))))) (.f64 1/27 (/.f64 (pow.f64 (.f64 (pow.f64 z 3) -3/2) 3) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 3)))))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) (pow.f64 y 6))) (fma.f64 1/3 (/.f64 (.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2)) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (cbrt.f64 (pow.f64 z 3)))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 4) z) (/.f64 (-.f64 (fma.f64 (pow.f64 z 3) 13/24 (.f64 (pow.f64 z 3) 1/3)) (/.f64 (.f64 (.f64 (pow.f64 (.f64 z z) 3) 9/4) 1/3) (/.f64 (pow.f64 z 4) z))) z)) (fma.f64 1/3 (.f64 (/.f64 (+.f64 (.f64 (pow.f64 z 3) -31/720) (-.f64 (fma.f64 -1/2 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) -2/45)) (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 (pow.f64 z 3) 13/24 (.f64 (pow.f64 z 3) 1/3)) (/.f64 (.f64 (.f64 (pow.f64 (.f64 z z) 3) 9/4) 1/3) (/.f64 (pow.f64 z 4) z))) (/.f64 (pow.f64 z 4) (.f64 (pow.f64 z 4) -3/2))) (fma.f64 1/3 (/.f64 (-.f64 (fma.f64 (pow.f64 z 3) 13/24 (.f64 (pow.f64 z 3) 1/3)) (/.f64 (.f64 (.f64 (pow.f64 (.f64 z z) 3) 9/4) 1/3) (/.f64 (pow.f64 z 4) z))) (/.f64 (pow.f64 z 4) (.f64 (pow.f64 z 4) -3/2))) (.f64 1/27 (/.f64 (.f64 (pow.f64 (pow.f64 z 3) 3) -27/8) (pow.f64 (.f64 z z) 3))))))) (.f64 z z)) (pow.f64 y 6)) (fma.f64 1/3 (/.f64 y (/.f64 (.f64 (/.f64 z (pow.f64 z 3)) (/.f64 z -3/2)) y)) z)))
(+.f64 (fma.f64 1/3 (.f64 (/.f64 (.f64 y y) z) (/.f64 -3/2 (/.f64 z (pow.f64 z 3)))) z) (.f64 (/.f64 1/3 z) (+.f64 (/.f64 (pow.f64 y 4) (/.f64 z (+.f64 (.f64 (pow.f64 z 3) 7/8) (.f64 (.f64 (/.f64 (.f64 (pow.f64 z 6) 9/4) (pow.f64 z 4)) z) -1/3)))) (/.f64 (+.f64 (-.f64 (+.f64 (.f64 (pow.f64 z 3) -7/80) (.f64 -1/2 (.f64 (pow.f64 z 3) 1/3))) (.f64 (/.f64 (+.f64 (.f64 (pow.f64 z 3) 7/8) (.f64 (.f64 (/.f64 (.f64 (pow.f64 z 6) 9/4) (pow.f64 z 4)) z) -1/3)) (/.f64 (pow.f64 z 4) (.f64 (pow.f64 z 4) -3/2))) 2/3)) (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 z 3) 3) -27/8) (pow.f64 z 6)) -1/27)) (/.f64 z (pow.f64 y 6))))))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 z) -3))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 z) -3))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 z) -3))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 z) -3))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(neg.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (neg.f64 (pow.f64 (/.f64 -1 z) -3)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(neg.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (neg.f64 (pow.f64 (/.f64 -1 z) -3)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(neg.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (neg.f64 (pow.f64 (/.f64 -1 z) -3)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(neg.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (neg.f64 (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 z 2) z)
(pow.f64 z 3)
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (.f64 (pow.f64 z 2) z))
(fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (.f64 (pow.f64 z 2) z)))
(fma.f64 (fma.f64 (.f64 (.f64 z z) 1/3) z (.f64 (pow.f64 z 3) 13/24)) (pow.f64 y 4) (fma.f64 (.f64 y y) (*.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 z 3) 13/24 (.f64 (pow.f64 z 3) 1/3)) (fma.f64 (.f64 y y) (*.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 (.f64 y y) (*.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (pow.f64 y 4)) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (+.f64 (.f64 (pow.f64 z 2) z) (.f64 (+.f64 (.f64 -1/720 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 -1/24 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 (+.f64 (.f64 -1/360 (pow.f64 z 2)) (.f64 -1/24 (pow.f64 z 2))) z) (.f64 -1/2 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z))))) (pow.f64 y 6)))))
(fma.f64 (fma.f64 (.f64 (.f64 z z) 1/3) z (.f64 (pow.f64 z 3) 13/24)) (pow.f64 y 4) (+.f64 (fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (pow.f64 z 3)) (.f64 (fma.f64 -1/720 (pow.f64 z 3) (fma.f64 -1/24 (pow.f64 z 3) (fma.f64 (.f64 (.f64 z z) -2/45) z (.f64 -1/2 (.f64 z (.f64 (.f64 z z) 1/3)))))) (pow.f64 y 6))))
(fma.f64 (pow.f64 y 4) (fma.f64 (pow.f64 z 3) 13/24 (.f64 (pow.f64 z 3) 1/3)) (fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (fma.f64 (+.f64 (fma.f64 -1/2 (.f64 (pow.f64 z 3) 1/3) (.f64 (pow.f64 z 3) -2/45)) (.f64 (pow.f64 z 3) -31/720)) (pow.f64 y 6) (pow.f64 z 3))))
(fma.f64 (pow.f64 y 4) (.f64 (pow.f64 z 3) 7/8) (fma.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2) (fma.f64 (+.f64 (.f64 (pow.f64 z 3) -7/80) (.f64 -1/2 (.f64 (pow.f64 z 3) 1/3))) (pow.f64 y 6) (pow.f64 z 3))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(.f64 (.f64 z (cos.f64 y)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 1 (.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2)))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (pow.f64 (*.f64 z (cos.f64 y)) 3)) 1)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 z (.f64 (cos.f64 y) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (cos.f64 y) (.f64 z (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 z (cos.f64 y)) (pow.f64 (*.f64 z (cos.f64 y)) 2))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) 1)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 1 (pow.f64 (.f64 z (cos.f64 y)) 3))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 3))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2) (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 3) (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 3))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) z) (cos.f64 y))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) (cos.f64 y)) z)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1) (.f64 z (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (cbrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 6))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 3))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 z (cos.f64 y)))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) (pow.f64 z 3)))
(pow.f64 (*.f64 (cos.f64 y) z) 3)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
✓	6.4b	(sqrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 43 to 14 computations (67.4% saved)

series5.6s (17.5%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
1.1s	y	@	0	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
997.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
865.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
781.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
550.0ms	y	@	0	(sqrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 440640 to 302592 computations (31.3% saved)

rewrite42.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
565×	`add-log-exp_binary64`
565×	`log1p-expm1-u_binary64`
565×	`expm1-log1p-u_binary64`
551×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	163	14
2	1592	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify38.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

498×	`distribute-rgt-in_binary64`
474×	`associate-+l+_binary64`
473×	`distribute-lft-in_binary64`
454×	`fma-def_binary64`
444×	`associate-+r+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	488
1	226	488
2	738	488
3	2917	488

Stop Event

1×	node limit

Counts

66 → 54

Calls

Call 1

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

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

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.3b	(pow.f64 (cos.f64 y) 3)
✓	41.1b	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))

Compiler

Compiled 53 to 29 computations (45.3% saved)

series39.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
5.0ms	y	@	-inf	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
5.0ms	y	@	inf	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
4.0ms	z	@	-inf	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
3.0ms	z	@	0	(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))

Compiler

Compiled 1527 to 1181 computations (22.7% saved)

rewrite52.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

776×	`pow1_binary64`
722×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
700×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	194	21
2	2045	21

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))

Outputs

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

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

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

simplify68.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-def_binary64`
564×	`associate-/l*_binary64`
530×	`associate-/r*_binary64`
482×	`fma-neg_binary64`
222×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	1947
1	578	1198
2	2235	1126
3	7654	1124

Stop Event

1×	node limit

Counts

116 → 116

Calls

Call 1

Inputs
(pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z)) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 z 2) z) 1/3))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z)) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 7/8 (.f64 (pow.f64 z 2) z)) (.f64 3/4 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (pow.f64 z 2) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z)) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -61/240 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (.f64 z (.f64 (-.f64 (.f64 7/8 (.f64 (pow.f64 z 2) z)) (.f64 3/4 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (pow.f64 z 2) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2)))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (pow.f64 z 2) 3) (pow.f64 z 3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 3)))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 7/8 (.f64 (pow.f64 z 2) z)) (.f64 3/4 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (pow.f64 z 2) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(*.f64 (pow.f64 z 2) z)
(+.f64 (.f64 -3/2 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z))) (.f64 (pow.f64 z 2) z))
(+.f64 (.f64 -3/2 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z))) (+.f64 (.f64 7/8 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 4) z))) (*.f64 (pow.f64 z 2) z)))
(+.f64 (.f64 -3/2 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z))) (+.f64 (.f64 -61/240 (.f64 (pow.f64 z 2) (.f64 z (pow.f64 y 6)))) (+.f64 (.f64 7/8 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 4) z))) (.f64 (pow.f64 z 2) z))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) z) 1)
(.f64 1 (.f64 (cos.f64 y) z))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 1/3))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3) (pow.f64 (pow.f64 z 3) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 (cos.f64 y) z))))

Outputs
(pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)
(cbrt.f64 (pow.f64 z 3))
z
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z)) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 z 2) z) 1/3))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 y y))) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (cbrt.f64 (pow.f64 z 3)))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 z 3) (.f64 y y)) (*.f64 z z)) z)
(fma.f64 -1/2 (.f64 (/.f64 z 1) (.f64 y y)) z)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z)) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 7/8 (.f64 (pow.f64 z 2) z)) (.f64 3/4 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (pow.f64 z 2) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 y y))) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 z 3) 7/8) (.f64 -3/4 (/.f64 (.f64 (pow.f64 (*.f64 z z) 3) (cbrt.f64 (pow.f64 z 3))) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2))))) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (cbrt.f64 (pow.f64 z 3))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 z 3) (.f64 y y)) (.f64 z z)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 4) (.f64 z z)) (fma.f64 (pow.f64 z 3) 7/8 (.f64 (/.f64 (*.f64 z (pow.f64 z 6)) (pow.f64 z 4)) -3/4))) z))
(fma.f64 (/.f64 1/3 z) (/.f64 (pow.f64 y 4) (/.f64 z (fma.f64 (pow.f64 z 3) 7/8 (.f64 (pow.f64 z 3) -3/4)))) (fma.f64 -1/2 (.f64 (/.f64 z 1) (*.f64 y y)) z))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z)) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -61/240 (.f64 (pow.f64 z 2) z)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 z 2) (.f64 z (.f64 (-.f64 (.f64 7/8 (.f64 (pow.f64 z 2) z)) (.f64 3/4 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (pow.f64 z 2) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2)))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (pow.f64 z 2) 3) (pow.f64 z 3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 3)))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (.f64 7/8 (.f64 (pow.f64 z 2) z)) (.f64 3/4 (/.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (pow.f64 z 2) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 z z) (.f64 z (.f64 y y))) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (fma.f64 1/3 (/.f64 (pow.f64 y 6) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) (-.f64 (.f64 (pow.f64 z 3) -61/240) (fma.f64 -1 (/.f64 (.f64 (pow.f64 z 3) (.f64 (cbrt.f64 (pow.f64 z 3)) (+.f64 (.f64 (pow.f64 z 3) 7/8) (.f64 -3/4 (/.f64 (.f64 (pow.f64 (.f64 z z) 3) (cbrt.f64 (pow.f64 z 3))) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2)))))) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 z 3) (pow.f64 (.f64 z z) 3)) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 3))))))) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 (pow.f64 z 3) 7/8) (.f64 -3/4 (/.f64 (.f64 (pow.f64 (*.f64 z z) 3) (cbrt.f64 (pow.f64 z 3))) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2))))) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (cbrt.f64 (pow.f64 z 3)))))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 z 3) (.f64 y y)) (.f64 z z)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 6) (.f64 z z)) (-.f64 (.f64 (pow.f64 z 3) -61/240) (-.f64 (.f64 -1/8 (/.f64 (pow.f64 (pow.f64 z 3) 3) (pow.f64 z 6))) (/.f64 (.f64 (pow.f64 z 4) (fma.f64 (pow.f64 z 3) 7/8 (.f64 (/.f64 (.f64 z (pow.f64 z 6)) (pow.f64 z 4)) -3/4))) (pow.f64 z 4))))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 4) (.f64 z z)) (fma.f64 (pow.f64 z 3) 7/8 (.f64 (/.f64 (.f64 z (pow.f64 z 6)) (pow.f64 z 4)) -3/4))) z)))
(fma.f64 1/3 (fma.f64 (/.f64 (pow.f64 y 6) (.f64 z z)) (+.f64 (fma.f64 (pow.f64 z 3) -61/240 (/.f64 (fma.f64 (pow.f64 z 3) 7/8 (.f64 (pow.f64 z 3) -3/4)) 1)) (.f64 (pow.f64 z 3) 1/8)) (.f64 (/.f64 (pow.f64 y 4) (.f64 z z)) (fma.f64 (pow.f64 z 3) 7/8 (.f64 (pow.f64 z 3) -3/4)))) (fma.f64 -1/2 (.f64 (/.f64 z 1) (.f64 y y)) z))
(fma.f64 1/3 (fma.f64 (/.f64 (pow.f64 y 6) (.f64 z z)) (fma.f64 (pow.f64 z 3) -61/240 (fma.f64 (pow.f64 z 3) 1/8 (/.f64 (fma.f64 (pow.f64 z 3) 7/8 (.f64 (pow.f64 z 3) -3/4)) 1))) (.f64 (/.f64 (pow.f64 y 4) (.f64 z z)) (fma.f64 (pow.f64 z 3) 7/8 (.f64 (pow.f64 z 3) -3/4)))) (fma.f64 -1/2 (.f64 (/.f64 z 1) (*.f64 y y)) z))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) z))) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cbrt.f64 -1) (neg.f64 (cos.f64 y))))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cbrt.f64 -1) (neg.f64 (cos.f64 y))))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cbrt.f64 -1) (neg.f64 (cos.f64 y))))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 -1)))
(.f64 (.f64 z (cos.f64 y)) (neg.f64 (cbrt.f64 -1)))
(.f64 z (.f64 (cbrt.f64 -1) (neg.f64 (cos.f64 y))))
1
(+.f64 1 (*.f64 -3/2 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -3/2))
(fma.f64 (*.f64 y y) -3/2 1)
(+.f64 1 (+.f64 (.f64 7/8 (pow.f64 y 4)) (.f64 -3/2 (pow.f64 y 2))))
(+.f64 1 (fma.f64 7/8 (pow.f64 y 4) (.f64 (.f64 y y) -3/2)))
(+.f64 (fma.f64 (.f64 y y) -3/2 1) (.f64 (pow.f64 y 4) 7/8))
(fma.f64 y (*.f64 y -3/2) (fma.f64 (pow.f64 y 4) 7/8 1))
(+.f64 1 (+.f64 (.f64 -61/240 (pow.f64 y 6)) (+.f64 (.f64 7/8 (pow.f64 y 4)) (*.f64 -3/2 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -61/240 (pow.f64 y 6) (fma.f64 7/8 (pow.f64 y 4) (.f64 (.f64 y y) -3/2))))
(+.f64 (fma.f64 (pow.f64 y 6) -61/240 (.f64 (pow.f64 y 4) 7/8)) (fma.f64 (.f64 y y) -3/2 1))
(fma.f64 (pow.f64 y 6) -61/240 (fma.f64 y (*.f64 y -3/2) (fma.f64 (pow.f64 y 4) 7/8 1)))
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 z 2) z)
(pow.f64 z 3)
(+.f64 (.f64 -3/2 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z))) (.f64 (pow.f64 z 2) z))
(fma.f64 -3/2 (.f64 (.f64 z z) (.f64 z (.f64 y y))) (pow.f64 z 3))
(fma.f64 (.f64 (pow.f64 z 3) (.f64 y y)) -3/2 (pow.f64 z 3))
(+.f64 (.f64 -3/2 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z))) (+.f64 (.f64 7/8 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 4) z))) (*.f64 (pow.f64 z 2) z)))
(fma.f64 -3/2 (.f64 (.f64 z z) (.f64 z (.f64 y y))) (fma.f64 7/8 (.f64 (.f64 z z) (*.f64 z (pow.f64 y 4))) (pow.f64 z 3)))
(fma.f64 (.f64 (pow.f64 z 3) (.f64 y y)) -3/2 (fma.f64 7/8 (*.f64 (pow.f64 z 3) (pow.f64 y 4)) (pow.f64 z 3)))
(+.f64 (.f64 -3/2 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 2) z))) (+.f64 (.f64 -61/240 (.f64 (pow.f64 z 2) (.f64 z (pow.f64 y 6)))) (+.f64 (.f64 7/8 (.f64 (pow.f64 z 2) (.f64 (pow.f64 y 4) z))) (.f64 (pow.f64 z 2) z))))
(fma.f64 -3/2 (.f64 (.f64 z z) (.f64 z (.f64 y y))) (fma.f64 -61/240 (.f64 (pow.f64 z 3) (pow.f64 y 6)) (fma.f64 7/8 (.f64 (.f64 z z) (.f64 z (pow.f64 y 4))) (pow.f64 z 3))))
(fma.f64 (.f64 (pow.f64 z 3) (.f64 y y)) -3/2 (fma.f64 -61/240 (.f64 (pow.f64 z 3) (pow.f64 y 6)) (fma.f64 7/8 (.f64 (pow.f64 z 3) (pow.f64 y 4)) (pow.f64 z 3))))
(fma.f64 (pow.f64 z 3) (.f64 (pow.f64 y 6) -61/240) (fma.f64 (.f64 (pow.f64 z 3) (.f64 y y)) -3/2 (fma.f64 7/8 (.f64 (pow.f64 z 3) (pow.f64 y 4)) (pow.f64 z 3))))
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y))))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (cos.f64 y) 2) (.f64 (pow.f64 z 3) (cos.f64 y)))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(*.f64 (pow.f64 (/.f64 1 z) -3) (pow.f64 (cos.f64 y) 3))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(*.f64 (pow.f64 (/.f64 1 z) -3) (pow.f64 (cos.f64 y) 3))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(*.f64 (pow.f64 (/.f64 1 z) -3) (pow.f64 (cos.f64 y) 3))
(.f64 (pow.f64 (/.f64 1 z) -3) (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)))
(*.f64 (pow.f64 (/.f64 1 z) -3) (pow.f64 (cos.f64 y) 3))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(neg.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (neg.f64 (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (/.f64 -1 z) -3) (neg.f64 (pow.f64 (cos.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(neg.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (neg.f64 (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (/.f64 -1 z) -3) (neg.f64 (pow.f64 (cos.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(neg.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (neg.f64 (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (/.f64 -1 z) -3) (neg.f64 (pow.f64 (cos.f64 y) 3)))
(.f64 -1 (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 (cos.f64 y) (pow.f64 (/.f64 -1 z) -3))))
(neg.f64 (*.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (cos.f64 y) 3) (neg.f64 (pow.f64 (/.f64 -1 z) -3)))
(*.f64 (pow.f64 (/.f64 -1 z) -3) (neg.f64 (pow.f64 (cos.f64 y) 3)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(.f64 (.f64 (cos.f64 y) z) 1)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 (cos.f64 y) z))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 2))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (*.f64 (cos.f64 y) z)))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2)))
(.f64 (pow.f64 (pow.f64 (.f64 (cos.f64 y) z) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 3)) 1)
(pow.f64 (cos.f64 y) 3)
(*.f64 (cos.f64 y) (pow.f64 (cos.f64 y) 2))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3) 1)
(pow.f64 (cos.f64 y) 3)
(*.f64 1 (pow.f64 (cos.f64 y) 3))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 3)
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 2)))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (cos.f64 y) 3/2) (pow.f64 (cos.f64 y) 3/2))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 3) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 3) (pow.f64 (sqrt.f64 (cos.f64 y)) 3))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) 1) (cos.f64 y))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 3)
(.f64 (.f64 (pow.f64 (cos.f64 y) 2) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 3)
(sqrt.f64 (pow.f64 (cos.f64 y) 6))
(pow.f64 (cos.f64 y) 3)
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3))
(pow.f64 (cos.f64 y) 3)
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 3)))
(pow.f64 (cos.f64 y) 3)
(exp.f64 (*.f64 3 (log.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 3)
(-.f64 (+.f64 1 (pow.f64 (*.f64 (cos.f64 y) z) 3)) 1)
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1)
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (*.f64 (cos.f64 y) z) 3)
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3) 1/3)
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3/2) 2)
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 6))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 3))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3) 3) (pow.f64 (pow.f64 z 3) 3)))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 z 3) 3) (pow.f64 (pow.f64 (cos.f64 y) 3) 3)))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3)))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 (cos.f64 y) z))))
(.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))
(pow.f64 (*.f64 z (cos.f64 y)) 3)

eval258.0ms (0.8%)

Compiler: Compiled 15054 to 8115 computations (46.1% saved)

prune120.0ms (0.4%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	576	15	591
Fresh	2	1	3
Picked	1	0	1
Done	2	3	5
Total	581	19	600

Error

0.0b

Counts

600 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	36.3b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	32.0b	(+.f64 (+.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))))) z)
▶	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y)))) (.f64 z (cos.f64 y)))
	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
▶	33.2b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (cos.f64 y)))
	33.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	29.7b	(+.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (.f64 x (sin.f64 y))))) (.f64 z (cos.f64 y)))
	24.3b	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	23.8b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
▶	44.4b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
▶	30.8b	(+.f64 (*.f64 y x) z)
	31.9b	(+.f64 (.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) z)
	31.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y))))) 3))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	32.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
▶	0.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	28.3b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	15.2b	(+.f64 (*.f64 x (sin.f64 y)) z)

Compiler

Compiled 586 to 379 computations (35.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
	0.1b	(*.f64 x (sin.f64 y))
	0.3b	(pow.f64 (cos.f64 y) 3)
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 3))

Compiler

Compiled 43 to 21 computations (51.2% saved)

series23.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
3.0ms	z	@	0	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
3.0ms	z	@	-inf	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
3.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cos.f64 y) 3))
2.0ms	z	@	inf	(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)

Compiler

Compiled 597 to 459 computations (23.1% saved)

rewrite42.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

632×	`pow1_binary64`
590×	`add-log-exp_binary64`
590×	`log1p-expm1-u_binary64`
590×	`expm1-log1p-u_binary64`
575×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	166	9
2	1653	9

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)

Outputs

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

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

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

747×	`fma-def_binary64`
570×	`exp-sum_binary64`
531×	`log-prod_binary64`
389×	`distribute-rgt-in_binary64`
365×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	685
1	217	386
2	715	374
3	2399	371
4	6785	371

Stop Event

1×	node limit

Counts

67 → 65

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))

Outputs
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 y y) (.f64 1/24 (pow.f64 y 4))) (fma.f64 -1/720 (pow.f64 y 6) 1))
(fma.f64 -1/720 (pow.f64 y 6) (fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 1)))
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(fma.f64 (.f64 -1/2 (.f64 y y)) z z)
(fma.f64 (.f64 y y) (.f64 -1/2 z) z)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 (.f64 -1/2 (.f64 y y)) z (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) 1)))
(fma.f64 z (.f64 (.f64 y y) (fma.f64 (*.f64 y y) 1/24 -1/2)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) (.f64 -1/720 (*.f64 (pow.f64 y 6) z))))
(+.f64 (fma.f64 (.f64 -1/2 (.f64 y y)) z z) (fma.f64 (.f64 -1/720 z) (pow.f64 y 6) (.f64 1/24 (*.f64 (pow.f64 y 4) z))))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) z (.f64 z (fma.f64 1/24 (pow.f64 y 4) (*.f64 -1/720 (pow.f64 y 6)))))
(.f64 z (fma.f64 -1/2 (.f64 y y) (fma.f64 1/24 (pow.f64 y 4) (fma.f64 -1/720 (pow.f64 y 6) 1))))
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 z (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (pow.f64 1 1/3) (cos.f64 y))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 3/2) 1/3))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(log1p.f64 (expm1.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 3)) z)
(*.f64 (cos.f64 y) z)

localize5.0ms (0%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
	41.1b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 40 to 16 computations (60% saved)

series21.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
3.0ms	z	@	0	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
2.0ms	y	@	0	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
2.0ms	y	@	inf	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
2.0ms	z	@	-inf	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))

Compiler

Compiled 826 to 598 computations (27.6% saved)

rewrite50.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary64`
378×	`pow-prod-down_binary64`
375×	`exp-prod_binary64`
339×	`fma-def_binary64`
272×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	241	10
2	2815	10

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

Inputs
(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))

Outputs

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

simplify57.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-def_binary64`
633×	`times-frac_binary64`
365×	`unswap-sqr_binary64`
306×	`associate-/l*_binary64`
254×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	2594
1	664	2007
2	1954	1580

Stop Event

1×	node limit

Counts

111 → 112

Calls

Call 1

Inputs
(pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))
(+.f64 (.f64 y x) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 y x) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 z 2) z) 1/3))))
(*.f64 y x)
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(*.f64 y x)
(+.f64 (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) z))) 1/3) (.f64 y x))
(+.f64 (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) z))) 1/3) (.f64 y x))
(+.f64 (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) z))) 1/3) (.f64 y x))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y)))) 1/3)
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(*.f64 y x)
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(*.f64 y x)
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z) (*.f64 y x))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z) (*.f64 y x))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z) (*.f64 y x))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(+.f64 (.f64 y x) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))
(+.f64 (.f64 y x) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))
(+.f64 (.f64 y x) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(.f64 (fma.f64 z (cos.f64 y) (.f64 y x)) 1)
(.f64 1 (fma.f64 z (cos.f64 y) (.f64 y x)))
(.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2))))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (*.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (*.f64 y x) z) (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3))) (neg.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (*.f64 y x) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (fma.f64 z (cos.f64 y) (neg.f64 (*.f64 y x))))
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(pow.f64 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))))) (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 x) y)))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 y x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(exp.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 1) 1))
(fma.f64 y x (*.f64 z (cos.f64 y)))
(fma.f64 x y (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 y x) 1 (.f64 z (cos.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 (.f64 z (cos.f64 y)) 1 (.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 z (cos.f64 y)))

Outputs
(pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)
(cbrt.f64 (pow.f64 z 3))
z
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3))
(fma.f64 y x (cbrt.f64 (pow.f64 z 3)))
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 z 2) z) 1/3)))
(fma.f64 y x (fma.f64 1/3 (/.f64 (.f64 (.f64 y y) (*.f64 (pow.f64 z 3) -3/2)) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (cbrt.f64 (pow.f64 z 3))))
(fma.f64 y x (fma.f64 1/3 (/.f64 (.f64 (pow.f64 z 3) (.f64 -3/2 (.f64 y y))) (.f64 z z)) z))
(fma.f64 (/.f64 1/3 z) (/.f64 (pow.f64 z 3) (/.f64 z (.f64 -3/2 (.f64 y y)))) (fma.f64 y x z))
(+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 (+.f64 (.f64 1/4 (pow.f64 z 2)) (.f64 1/12 (pow.f64 z 2))) z) (+.f64 (.f64 1/24 (.f64 (pow.f64 z 2) z)) (.f64 1/2 (.f64 (pow.f64 z 2) z)))) (.f64 1/3 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z))) 2) (pow.f64 (.f64 (pow.f64 z 2) z) 1/3)) (pow.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2) 2))))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (+.f64 (.f64 y x) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 z 2) z)) (.f64 -1 (.f64 (pow.f64 z 2) z)))) (pow.f64 (pow.f64 (.f64 (pow.f64 z 2) z) 1/3) 2))) (pow.f64 (*.f64 (pow.f64 z 2) z) 1/3))))
(fma.f64 1/3 (/.f64 (pow.f64 y 4) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) (+.f64 (fma.f64 (.f64 (.f64 z z) 1/3) z (.f64 (pow.f64 z 3) 13/24)) (.f64 -1/3 (/.f64 (pow.f64 (.f64 (pow.f64 z 3) -3/2) 2) (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2) 2) (cbrt.f64 (pow.f64 z 3)))))))) (fma.f64 y x (fma.f64 1/3 (/.f64 (.f64 (.f64 y y) (.f64 (pow.f64 z 3) -3/2)) (pow.f64 (cbrt.f64 (pow.f64 z 3)) 2)) (cbrt.f64 (pow.f64 z 3)))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 4) (.f64 z z)) (+.f64 (fma.f64 (pow.f64 z 3) 13/24 (.f64 (pow.f64 z 3) 1/3)) (.f64 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 z 3) -3/2) 2) (pow.f64 z 4)) z) -1/3))) (fma.f64 y x (fma.f64 1/3 (/.f64 (.f64 (pow.f64 z 3) (.f64 -3/2 (.f64 y y))) (.f64 z z)) z)))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 y 4) z) (/.f64 (fma.f64 (/.f64 (pow.f64 z 6) (/.f64 (/.f64 (pow.f64 z 4) z) 9/4)) -1/3 (.f64 (pow.f64 z 3) 7/8)) z)) (fma.f64 (/.f64 1/3 z) (/.f64 (pow.f64 z 3) (/.f64 z (.f64 -3/2 (.f64 y y)))) (fma.f64 y x z)))
(*.f64 y x)
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) z))) 1/3) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) z))) 1/3) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 (cos.f64 y) z))) 1/3) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (*.f64 z (cos.f64 y)))) 1/3)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (pow.f64 (.f64 (pow.f64 z 2) (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z (cos.f64 y)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(*.f64 y x)
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z) (*.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z) (*.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z) (*.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)
(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(+.f64 (.f64 y x) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(+.f64 (.f64 y x) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z)))
(neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 -1)))
(.f64 (cbrt.f64 -1) (.f64 (cos.f64 y) (neg.f64 z)))
(.f64 z (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))))
(fma.f64 y x (neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 -1))))
(-.f64 (.f64 y x) (.f64 (cos.f64 y) (*.f64 z (cbrt.f64 -1))))
(fma.f64 (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))) z (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))))
(fma.f64 y x (neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 -1))))
(-.f64 (.f64 y x) (.f64 (cos.f64 y) (*.f64 z (cbrt.f64 -1))))
(fma.f64 (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))) z (.f64 y x))
(+.f64 (.f64 y x) (.f64 -1 (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (cos.f64 y)) 1/3) z))))
(fma.f64 y x (neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 -1))))
(-.f64 (.f64 y x) (.f64 (cos.f64 y) (*.f64 z (cbrt.f64 -1))))
(fma.f64 (.f64 (cos.f64 y) (neg.f64 (cbrt.f64 -1))) z (.f64 y x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1)
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(-.f64 (/.f64 (pow.f64 (.f64 y x) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(.f64 (fma.f64 z (cos.f64 y) (.f64 y x)) 1)
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 1 (fma.f64 z (cos.f64 y) (.f64 y x)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 y x) (*.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 1 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 1 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (*.f64 y x) 2)))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 y x) 2) (.f64 (.f64 (*.f64 y x) z) (cos.f64 y)))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3))) (neg.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (*.f64 y x) 2))))
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 y x) 2)) (fma.f64 z (cos.f64 y) (neg.f64 (*.f64 y x))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 1)
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2) 1/2)
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3) 1/3)
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 3)
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 2)
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(pow.f64 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (neg.f64 (.f64 y x))) (pow.f64 (.f64 y x) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (*.f64 y x) 3))) -1)
(.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (fma.f64 z (cos.f64 y) (.f64 (neg.f64 y) x)) (pow.f64 (.f64 y x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)) (pow.f64 (.f64 y x) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 y x) 3)) (fma.f64 z (.f64 (cos.f64 y) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x))) (pow.f64 (.f64 y x) 2)))
(pow.f64 (/.f64 (-.f64 (.f64 y x) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) -1)
(/.f64 (-.f64 (pow.f64 (.f64 y x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 y x) (.f64 z (cos.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))))) (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 2))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (pow.f64 (exp.f64 x) y) (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y))))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y x))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 x) y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 y x)))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 y x)))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)) 3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 y x))) 1))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x)))) 1/3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 3))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 y x)))) 2))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 y x))) 1) 1))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 y x (*.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 x y (*.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 y x) 1 (.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 (cos.f64 y) z (*.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 z (cos.f64 y)) 1 (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 1 (.f64 y x) (.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) 2) (.f64 (cbrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (*.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (cbrt.f64 (.f64 y x)) (pow.f64 (cbrt.f64 (.f64 y x)) 2) (*.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y x)) 2) (cbrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 z (cos.f64 y)))
(fma.f64 y x (cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z))))
(fma.f64 y x (cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3)))
(fma.f64 z (cos.f64 y) (*.f64 y x))

localize13.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (cos.f64 y))
✓	0.1b	(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
✓	0.2b	(*.f64 (sin.f64 y) (sqrt.f64 x))

Compiler

Compiled 42 to 10 computations (76.2% saved)

series3.1s (9.6%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
671.0ms	x	@	0	(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
635.0ms	x	@	inf	(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
635.0ms	x	@	-inf	(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
391.0ms	x	@	0	(*.f64 (sin.f64 y) (sqrt.f64 x))
380.0ms	x	@	-inf	(*.f64 (sin.f64 y) (sqrt.f64 x))

Compiler

Compiled 251282 to 190130 computations (24.3% saved)

rewrite44.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary64`
588×	`add-log-exp_binary64`
588×	`log1p-expm1-u_binary64`
588×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	138	14
2	1640	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify50.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

929×	`log-prod_binary64`
656×	`associate-r_binary64`
348×	`unswap-sqr_binary64`
337×	`fma-neg_binary64`
336×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	583
1	239	428
2	839	402
3	3726	398
4	6765	398

Stop Event

1×	node limit

Counts

46 → 58

Calls

Call 1

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

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

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
✓	0.3b	(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)
✓	6.8b	(cbrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 62 to 18 computations (71% saved)

series7.2s (22.2%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
1.2s	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
937.0ms	y	@	0	(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
878.0ms	x	@	inf	(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
801.0ms	x	@	0	(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))
639.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)

Compiler

Compiled 580496 to 470256 computations (19% saved)

rewrite48.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`pow1_binary64`
627×	`add-log-exp_binary64`
626×	`log1p-expm1-u_binary64`
626×	`expm1-log1p-u_binary64`
611×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	184	25
2	1810	25

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 x (sin.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 2)
(.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y))))

Outputs

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

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

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

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def_binary64`
691×	`distribute-rgt-in_binary64`
624×	`distribute-lft-in_binary64`
611×	`log-prod_binary64`
432×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	714
1	230	711
2	843	709
3	2748	709
4	7456	709

Stop Event

1×	node limit

Counts

78 → 66

Calls

Call 1

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

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

eval181.0ms (0.6%)

Compiler: Compiled 12690 to 5889 computations (53.6% saved)

prune134.0ms (0.4%)

Pruning

25 alts after pruning (21 fresh and 4 done)

	Pruned	Kept	Total
New	591	15	606
Fresh	5	6	11
Picked	0	1	1
Done	4	3	7
Total	600	25	625

Error

0.0b

Counts

625 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.3b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	32.0b	(+.f64 (+.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))))) z)
▶	33.1b	(+.f64 (.f64 (pow.f64 (sqrt.f64 x) 2) (sin.f64 y)) (.f64 z (cos.f64 y)))
	0.8b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 3)) (.f64 z (cos.f64 y)))
	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
✓	0.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y)))) (.f64 z (cos.f64 y)))
	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	39.5b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
	33.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) (*.f64 z (cos.f64 y)))
	29.7b	(+.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (.f64 x (sin.f64 y))))) (.f64 z (cos.f64 y)))
	24.3b	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
	24.4b	(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
▶	44.9b	(+.f64 (.f64 y x) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
✓	30.8b	(+.f64 (*.f64 y x) z)
	0.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z))
▶	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z))
	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) z))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	15.2b	(+.f64 (*.f64 x (sin.f64 y)) z)
	24.7b	(*.f64 z (cos.f64 y))
▶	53.1b	(*.f64 y x)
	24.7b	(neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 -1)))
	50.5b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
	50.4b	(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
	39.4b	z

Compiler

Compiled 694 to 468 computations (32.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z)
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(log1p.f64 (expm1.f64 (cos.f64 y)))
✓	0.6b	(expm1.f64 (cos.f64 y))

Compiler

Compiled 38 to 10 computations (73.7% saved)

series14.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(expm1.f64 (cos.f64 y))
1.0ms	y	@	0	(log1p.f64 (expm1.f64 (cos.f64 y)))
1.0ms	y	@	inf	(expm1.f64 (cos.f64 y))
1.0ms	z	@	0	(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z)
1.0ms	y	@	-inf	(expm1.f64 (cos.f64 y))

Compiler

Compiled 603 to 491 computations (18.6% saved)

rewrite44.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
518×	`add-sqr-sqrt_binary64`
498×	`expm1-log1p-u_binary64`
497×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	119	14
2	1356	14

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cos.f64 y)))
(*.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z)

Outputs

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

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

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

simplify46.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

497×	`fma-def_binary64`
480×	`log-prod_binary64`
431×	`unswap-sqr_binary64`
419×	`times-frac_binary64`
259×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	628
1	325	614
2	1230	593
3	5145	591

Stop Event

1×	node limit

Counts

93 → 93

Calls

Call 1

Inputs
(-.f64 (E.f64) 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2)))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2))) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4))))) 1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2))) (+.f64 (.f64 -31/720 (.f64 (E.f64) (pow.f64 y 6))) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)))))) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(+.f64 (exp.f64 (cos.f64 y)) -1)
(-.f64 (exp.f64 (cos.f64 y)) 1)
(*.f64 (expm1.f64 (cos.f64 y)) 1)
(*.f64 1 (expm1.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (exp.f64 (cos.f64 y)) 1))
(pow.f64 (expm1.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(*.f64 (cos.f64 y) 1)
(*.f64 1 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(pow.f64 (cos.f64 y) 1)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(log.f64 (exp.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))

Outputs
(-.f64 (E.f64) 1)
(+.f64 (E.f64) -1)
(expm1.f64 1)
(-.f64 (+.f64 (E.f64) (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2)))) 1)
(+.f64 (E.f64) (-.f64 (.f64 (.f64 -1/2 (E.f64)) (*.f64 y y)) 1))
(+.f64 (.f64 (E.f64) (.f64 -1/2 (*.f64 y y))) (expm1.f64 1))
(fma.f64 (E.f64) (.f64 -1/2 (.f64 y y)) (expm1.f64 1))
(fma.f64 (fma.f64 -1/2 (*.f64 y y) 1) (E.f64) -1)
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2))) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)))) 1))
(+.f64 (fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (.f64 (.f64 1/6 (pow.f64 y 4)) (E.f64))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 1/6 (pow.f64 y 4)))))
(+.f64 (E.f64) (fma.f64 (E.f64) (+.f64 (.f64 1/6 (pow.f64 y 4)) (.f64 -1/2 (*.f64 y y))) -1))
(-.f64 (+.f64 (E.f64) (+.f64 (.f64 -1/2 (.f64 (E.f64) (pow.f64 y 2))) (+.f64 (.f64 -31/720 (.f64 (E.f64) (pow.f64 y 6))) (.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)))))) 1)
(+.f64 (E.f64) (-.f64 (fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (fma.f64 -31/720 (.f64 (E.f64) (pow.f64 y 6)) (.f64 1/6 (*.f64 (E.f64) (pow.f64 y 4))))) 1))
(+.f64 (fma.f64 -1/2 (.f64 (E.f64) (.f64 y y)) (fma.f64 1/6 (.f64 (E.f64) (pow.f64 y 4)) (.f64 (E.f64) (*.f64 (pow.f64 y 6) -31/720)))) (expm1.f64 1))
(+.f64 (expm1.f64 1) (fma.f64 (E.f64) (.f64 -1/2 (.f64 y y)) (.f64 (E.f64) (+.f64 (.f64 1/6 (pow.f64 y 4)) (*.f64 -31/720 (pow.f64 y 6))))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 y y) 1) (E.f64)) (fma.f64 (E.f64) (+.f64 (.f64 1/6 (pow.f64 y 4)) (.f64 -31/720 (pow.f64 y 6))) -1))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/2 (.f64 y y)))
(fma.f64 -1/2 (*.f64 y y) 1)
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 1/24 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24)))
(+.f64 1 (fma.f64 (pow.f64 y 4) 1/24 (.f64 -1/2 (.f64 y y))))
(fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (*.f64 y y) 1))
(+.f64 (.f64 -1/720 (pow.f64 y 6)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 1/24 (pow.f64 y 4)))))
(fma.f64 -1/720 (pow.f64 y 6) (+.f64 1 (fma.f64 -1/2 (.f64 y y) (.f64 (pow.f64 y 4) 1/24))))
(+.f64 (fma.f64 (pow.f64 y 4) 1/24 (.f64 -1/2 (.f64 y y))) (fma.f64 (pow.f64 y 6) -1/720 1))
(fma.f64 (pow.f64 y 6) -1/720 (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (*.f64 y y) 1)))
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
(cos.f64 y)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 (.f64 y y) z) z)
(.f64 (fma.f64 -1/2 (.f64 y y) 1) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (fma.f64 (pow.f64 y 4) 1/24 (fma.f64 -1/2 (.f64 y y) 1)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (+.f64 (.f64 1/24 (.f64 (pow.f64 y 4) z)) (.f64 -1/720 (.f64 z (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 y y) z) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) (.f64 (*.f64 -1/720 z) (pow.f64 y 6))))
(+.f64 (.f64 (fma.f64 -1/2 (.f64 y y) 1) z) (fma.f64 1/24 (.f64 (pow.f64 y 4) z) (.f64 (pow.f64 y 6) (*.f64 -1/720 z))))
(fma.f64 (fma.f64 -1/2 (.f64 y y) 1) z (.f64 z (fma.f64 (pow.f64 y 4) 1/24 (*.f64 (pow.f64 y 6) -1/720))))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(*.f64 (cos.f64 y) z)
(+.f64 (exp.f64 (cos.f64 y)) -1)
(expm1.f64 (cos.f64 y))
(-.f64 (exp.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(*.f64 (expm1.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(*.f64 1 (expm1.f64 (cos.f64 y)))
(expm1.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2))
(expm1.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 2) (cbrt.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) (sqrt.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) 1) (+.f64 (.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) (+.f64 1 (.f64 (exp.f64 (cos.f64 y)) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (cos.f64 y)) 3) -1) (+.f64 (exp.f64 (+.f64 (cos.f64 y) (cos.f64 y))) (+.f64 1 (exp.f64 (cos.f64 y)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (cos.f64 y)) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 y)) (exp.f64 (*.f64 2 (cos.f64 y))))))
(/.f64 (expm1.f64 (*.f64 (cos.f64 y) 3)) (+.f64 1 (+.f64 (exp.f64 (cos.f64 y)) (pow.f64 (exp.f64 2) (cos.f64 y)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (cos.f64 y)) (exp.f64 (cos.f64 y))) 1) (+.f64 (exp.f64 (cos.f64 y)) 1))
(expm1.f64 (cos.f64 y))
(pow.f64 (expm1.f64 (cos.f64 y)) 1)
(expm1.f64 (cos.f64 y))
(pow.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3) 1/3)
(expm1.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (expm1.f64 (cos.f64 y))) 3)
(expm1.f64 (cos.f64 y))
(pow.f64 (sqrt.f64 (expm1.f64 (cos.f64 y))) 2)
(expm1.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 2))
(expm1.f64 (cos.f64 y))
(log.f64 (exp.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(cbrt.f64 (pow.f64 (expm1.f64 (cos.f64 y)) 3))
(expm1.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(exp.f64 (log.f64 (expm1.f64 (cos.f64 y))))
(expm1.f64 (cos.f64 y))
(-.f64 (+.f64 1 (cos.f64 y)) 1)
(cos.f64 y)
(*.f64 (cos.f64 y) 1)
(cos.f64 y)
(*.f64 1 (cos.f64 y))
(cos.f64 y)
(*.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cos.f64 y)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))
(cos.f64 y)
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (cos.f64 y)))
(cos.f64 y)
(pow.f64 (cos.f64 y) 1)
(cos.f64 y)
(pow.f64 (pow.f64 (cos.f64 y) 3) 1/3)
(cos.f64 y)
(pow.f64 (cbrt.f64 (cos.f64 y)) 3)
(cos.f64 y)
(pow.f64 (sqrt.f64 (cos.f64 y)) 2)
(cos.f64 y)
(sqrt.f64 (pow.f64 (cos.f64 y) 2))
(cos.f64 y)
(log.f64 (exp.f64 (cos.f64 y)))
(cos.f64 y)
(cbrt.f64 (pow.f64 (cos.f64 y) 3))
(cos.f64 y)
(cos.f64 y)
(expm1.f64 (log1p.f64 (cos.f64 y)))
(cos.f64 y)
(exp.f64 (log.f64 (cos.f64 y)))
(cos.f64 y)
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (cos.f64 y) z)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (cos.f64 y) z)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (cos.f64 y) z)
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (cos.f64 y) z)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (cos.f64 y) z)

localize3.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize12.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
	6.4b	(sqrt.f64 (*.f64 x (sin.f64 y)))

Compiler

Compiled 34 to 12 computations (64.7% saved)

localize13.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cos.f64 y) (sqrt.f64 z))
✓	0.2b	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))

Compiler

Compiled 38 to 9 computations (76.3% saved)

series3.2s (10%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
743.0ms	z	@	0	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
655.0ms	z	@	inf	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
635.0ms	z	@	-inf	(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
414.0ms	z	@	inf	(*.f64 (cos.f64 y) (sqrt.f64 z))
398.0ms	z	@	0	(*.f64 (cos.f64 y) (sqrt.f64 z))

Compiler

Compiled 250802 to 189771 computations (24.3% saved)

rewrite44.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary64`
588×	`add-log-exp_binary64`
588×	`log1p-expm1-u_binary64`
588×	`expm1-log1p-u_binary64`
573×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	138	14
2	1640	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (cos.f64 y) (sqrt.f64 z))

Outputs

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

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

simplify39.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

703×	`log-prod_binary64`
652×	`associate-l_binary64`
558×	`associate-r_binary64`
345×	`unswap-sqr_binary64`
290×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	567
1	228	416
2	787	412
3	4426	407

Stop Event

1×	node limit

Counts

46 → 55

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 z) 2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 2))) (pow.f64 (sqrt.f64 z) 2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 2))) (+.f64 (pow.f64 (sqrt.f64 z) 2) (.f64 1/24 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 4)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 2))) (+.f64 (pow.f64 (sqrt.f64 z) 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 4))) (.f64 -1/720 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 6))))))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(sqrt.f64 z)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 z) (pow.f64 y 2))) (sqrt.f64 z))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 z) (pow.f64 y 2))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (sqrt.f64 z) (pow.f64 y 4)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 z) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 z) (pow.f64 y 6))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (sqrt.f64 z) (pow.f64 y 4))))))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1)
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2)
(sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 z)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))

Outputs
(pow.f64 (sqrt.f64 z) 2)
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 2))) (pow.f64 (sqrt.f64 z) 2))
(fma.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 z) 2) (.f64 y y)) (pow.f64 (sqrt.f64 z) 2))
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(fma.f64 z (.f64 y (.f64 y -1/2)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 2))) (+.f64 (pow.f64 (sqrt.f64 z) 2) (.f64 1/24 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 z) 2) (.f64 y y)) (pow.f64 (sqrt.f64 z) 2)) (.f64 1/24 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 4))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(fma.f64 z (.f64 1/24 (pow.f64 y 4)) (fma.f64 z (.f64 y (*.f64 y -1/2)) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 2))) (+.f64 (pow.f64 (sqrt.f64 z) 2) (+.f64 (.f64 1/24 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 4))) (.f64 -1/720 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 6))))))
(+.f64 (fma.f64 -1/2 (.f64 (pow.f64 (sqrt.f64 z) 2) (.f64 y y)) (pow.f64 (sqrt.f64 z) 2)) (fma.f64 1/24 (.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 4)) (.f64 -1/720 (*.f64 (pow.f64 (sqrt.f64 z) 2) (pow.f64 y 6)))))
(+.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) z) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) (.f64 z (*.f64 (pow.f64 y 6) -1/720))))
(fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 z (.f64 -1/720 (pow.f64 y 6)) (fma.f64 z (.f64 1/24 (pow.f64 y 4)) z)))
(fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 z (.f64 1/24 (pow.f64 y 4)) (fma.f64 (pow.f64 y 6) (.f64 z -1/720) z)))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 z)
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 z) (pow.f64 y 2))) (sqrt.f64 z))
(fma.f64 -1/2 (.f64 (sqrt.f64 z) (.f64 y y)) (sqrt.f64 z))
(.f64 (+.f64 (.f64 y (*.f64 y -1/2)) 1) (sqrt.f64 z))
(fma.f64 (sqrt.f64 z) (.f64 y (.f64 y -1/2)) (sqrt.f64 z))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 z) (pow.f64 y 2))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (sqrt.f64 z) (pow.f64 y 4)))))
(+.f64 (fma.f64 -1/2 (.f64 (sqrt.f64 z) (.f64 y y)) (sqrt.f64 z)) (.f64 (.f64 1/24 (sqrt.f64 z)) (pow.f64 y 4)))
(fma.f64 -1/2 (.f64 (sqrt.f64 z) (.f64 y y)) (fma.f64 1/24 (*.f64 (sqrt.f64 z) (pow.f64 y 4)) (sqrt.f64 z)))
(+.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 y (.f64 y -1/2)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 y (.f64 y -1/2)) (+.f64 1 (.f64 1/24 (pow.f64 y 4)))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 z) (pow.f64 y 2))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 z) (pow.f64 y 6))) (+.f64 (sqrt.f64 z) (.f64 1/24 (.f64 (sqrt.f64 z) (pow.f64 y 4))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 z) (.f64 y y)) (fma.f64 -1/720 (.f64 (sqrt.f64 z) (pow.f64 y 6)) (+.f64 (sqrt.f64 z) (.f64 (*.f64 1/24 (sqrt.f64 z)) (pow.f64 y 4)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 z) (.f64 y y)) (fma.f64 -1/720 (.f64 (sqrt.f64 z) (pow.f64 y 6)) (fma.f64 1/24 (.f64 (sqrt.f64 z) (pow.f64 y 4)) (sqrt.f64 z))))
(+.f64 (fma.f64 (pow.f64 y 6) (.f64 (sqrt.f64 z) -1/720) (sqrt.f64 z)) (.f64 (sqrt.f64 z) (+.f64 (.f64 1/24 (pow.f64 y 4)) (.f64 y (*.f64 y -1/2)))))
(+.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 (+.f64 (.f64 -1/720 (pow.f64 y 6)) (.f64 y (.f64 y -1/2))) (*.f64 1/24 (pow.f64 y 4)))))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) z)) 1)
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) z)))
(*.f64 (pow.f64 (sqrt.f64 z) 2) (cos.f64 y))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (*.f64 (cos.f64 y) (sqrt.f64 z))) 1)
(*.f64 (sqrt.f64 z) (cos.f64 y))
(pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 1)
(*.f64 (sqrt.f64 z) (cos.f64 y))
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3) 1/3)
(*.f64 (sqrt.f64 z) (cos.f64 y))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 3)
(*.f64 (sqrt.f64 z) (cos.f64 y))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))) 2)
(*.f64 (sqrt.f64 z) (cos.f64 y))
(sqrt.f64 (*.f64 z (pow.f64 (cos.f64 y) 2)))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) 3))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (cos.f64 y))
(exp.f64 (log.f64 (*.f64 (cos.f64 y) (sqrt.f64 z))))
(*.f64 (sqrt.f64 z) (cos.f64 y))

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 17 computations (57.5% saved)

series3.9s (12.1%)

Counts

2 → 4

Calls

9 calls:

Time	Variable		Point	Expression
778.0ms	x	@	0	(*.f64 (pow.f64 (sqrt.f64 x) 2) (sin.f64 y))
647.0ms	x	@	inf	(*.f64 (pow.f64 (sqrt.f64 x) 2) (sin.f64 y))
638.0ms	x	@	-inf	(*.f64 (pow.f64 (sqrt.f64 x) 2) (sin.f64 y))
632.0ms	x	@	0	(pow.f64 (sqrt.f64 x) 2)
626.0ms	x	@	-inf	(pow.f64 (sqrt.f64 x) 2)

Compiler

Compiled 271385 to 221600 computations (18.3% saved)

rewrite40.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

608×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
546×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	163	7
2	1579	7

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

584×	`distribute-rgt-in_binary64`
575×	`associate-r_binary64`
568×	`distribute-lft-in_binary64`
398×	`fma-neg_binary64`
388×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	336
1	207	261
2	663	183
3	2908	180
4	7799	180

Stop Event

1×	node limit

Counts

31 → 52

Calls

Call 1

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

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

eval81.0ms (0.3%)

Compiler: Compiled 5646 to 2603 computations (53.9% saved)

prune70.0ms (0.2%)

Pruning

25 alts after pruning (18 fresh and 7 done)

	Pruned	Kept	Total
New	336	6	342
Fresh	4	12	16
Picked	1	0	1
Done	1	7	8
Total	342	25	367

Error

0.0b

Counts

367 → 25

Alt Table

Click to see full alt table

Status	Error	Program
✓	36.3b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	32.0b	(+.f64 (+.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))))) z)
	39.5b	(+.f64 (*.f64 (pow.f64 (sqrt.f64 x) 2) (sin.f64 y)) z)
	0.8b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 3)) (.f64 z (cos.f64 y)))
	0.6b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 x))) (.f64 z (cos.f64 y)))
	15.7b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (*.f64 x (sin.f64 y)))) z)
	0.5b	(+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y))) (*.f64 z (cos.f64 y)))
	40.6b	(+.f64 (.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y))) z)
	36.4b	(+.f64 (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))) z)
	24.3b	(+.f64 (.f64 y x) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 3))
	24.4b	(+.f64 (.f64 y x) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
✓	44.9b	(+.f64 (.f64 y x) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	23.8b	(+.f64 (.f64 y x) (.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z))
✓	30.8b	(+.f64 (*.f64 y x) z)
	0.2b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (-.f64 (+.f64 1 (cos.f64 y)) 1) z))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (log1p.f64 (expm1.f64 (cos.f64 y))) z))
	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (expm1.f64 (log1p.f64 (cos.f64 y))) z))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	15.2b	(+.f64 (*.f64 x (sin.f64 y)) z)
	24.7b	(*.f64 z (cos.f64 y))
✓	53.1b	(*.f64 y x)
	24.7b	(neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 3))) (cbrt.f64 -1)))
	50.5b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
	50.4b	(cbrt.f64 (.f64 (.f64 z z) (*.f64 (pow.f64 (cos.f64 y) 3) z)))
	39.4b	z

Compiler

Compiled 362 to 244 computations (32.6% saved)

regimes88.0ms (0.3%)

Counts

45 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))

Calls

4 calls:

20.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
19.0ms	z
18.0ms	y
18.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))`

Compiler

Compiled 599 to 220 computations (63.3% saved)

regimes54.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3)))) z)

Outputs
(+.f64 (*.f64 x (sin.f64 y)) z)
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 x (sin.f64 y)) z)

Calls

3 calls:

17.0ms	z
17.0ms	y
17.0ms	x

Results

Error	Segments	Branch
6.9b	3	`x`
10.3b	4	`y`
7.0b	3	`z`

Compiler

Compiled 53 to 27 computations (49.1% saved)

bsearch88.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	2.864802210685416e-125	4.4285123489338425e-116
46.0ms	-6.068695247515499e+30	-2.3564920836118957e+20

Results

46.0ms	94×	body	1024	valid
27.0ms	173×	body	256	valid
11.0ms	37×	body	512	valid

Compiler

Compiled 360 to 260 computations (27.8% saved)

regimes32.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(*.f64 z (cos.f64 y))

Outputs
(*.f64 z (cos.f64 y))
(+.f64 (*.f64 y x) z)
(*.f64 z (cos.f64 y))

Calls

3 calls:

11.0ms	y
10.0ms	z
10.0ms	x

Results

Error	Segments	Branch
19.2b	3	`x`
15.2b	3	`y`
18.8b	3	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch54.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	2387346450.22095	752707377563.393
29.0ms	-901.760773367421	-1.0491666815934236e-10

Results

51.0ms

288×

body

256

valid

Compiler

Compiled 324 to 229 computations (29.3% saved)

regimes12.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)

Outputs
(+.f64 (*.f64 y x) z)

Calls

3 calls:

3.0ms	z
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
30.8b	1	`x`
30.8b	1	`y`
30.8b	1	`z`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes29.0ms (0.1%)

Accuracy

Total -27.5b remaining (-78.8%)

Threshold costs -27.5b (-78.8%)

Counts

2 → 5

Calls

Call 1

Inputs
z
(*.f64 y x)

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

Calls

3 calls:

13.0ms	x
8.0ms	z
7.0ms	y

Results

Error	Segments	Branch
35.0b	5	`x`
37.9b	3	`y`
35.1b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch87.0ms (0.3%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
15.0ms	8.650410171542639e+76	1.0410926397721233e+77
35.0ms	-9.883103112724682e+97	-1.072544978006888e+94
17.0ms	-7.202556039975565e+190	-4.841713462073088e+190
19.0ms	-1.1823230536834126e+221	-6.642619667446766e+220

Results

41.0ms	88×	body	1024	valid
30.0ms	173×	body	256	valid
12.0ms	43×	body	512	valid

Compiler

Compiled 246 to 184 computations (25.2% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	127
1	43	127

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -2200000000000000000000) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 8162739579491679/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -4496393867966703/2305843009213693952) (.f64 z (cos.f64 y)) (if (<=.f64 y 2400000000) (+.f64 (.f64 y x) z) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 y x) z)
(if (<=.f64 x -72000000000000003756646637396139717359934083199177450424771820609728419799503615475728239688073887407847061692534585887595854990234648282528788174364792277728994704480191095518512931663223014497125932112967095573071003648) (.f64 y x) (if (<=.f64 x -55999999999999999314569901166244534256050772434517639143060823566976443309545181833304859772350305259672605094598120238228183238206494201574137389678596970659504519345866252997647956319404032) z (if (<=.f64 x -89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248) (.f64 y x) (if (<=.f64 x 98000000000000005254668398302332129954068930733558022498812550955119979528192) z (*.f64 y x)))))
z

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -2200000000000000000000) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 8162739579491679/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944) (.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -4496393867966703/2305843009213693952) (.f64 z (cos.f64 y)) (if (<=.f64 y 2400000000) (+.f64 (.f64 y x) z) (*.f64 z (cos.f64 y))))
(if (<=.f64 y -4496393867966703/2305843009213693952) (.f64 z (cos.f64 y)) (if (<=.f64 y 2400000000) (+.f64 z (.f64 x y)) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x -72000000000000003756646637396139717359934083199177450424771820609728419799503615475728239688073887407847061692534585887595854990234648282528788174364792277728994704480191095518512931663223014497125932112967095573071003648) (.f64 y x) (if (<=.f64 x -55999999999999999314569901166244534256050772434517639143060823566976443309545181833304859772350305259672605094598120238228183238206494201574137389678596970659504519345866252997647956319404032) z (if (<=.f64 x -89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248) (.f64 y x) (if (<=.f64 x 98000000000000005254668398302332129954068930733558022498812550955119979528192) z (*.f64 y x)))))
(if (<=.f64 x -72000000000000003756646637396139717359934083199177450424771820609728419799503615475728239688073887407847061692534585887595854990234648282528788174364792277728994704480191095518512931663223014497125932112967095573071003648) (.f64 x y) (if (<=.f64 x -55999999999999999314569901166244534256050772434517639143060823566976443309545181833304859772350305259672605094598120238228183238206494201574137389678596970659504519345866252997647956319404032) z (if (<=.f64 x -89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248) (.f64 x y) (if (<=.f64 x 98000000000000005254668398302332129954068930733558022498812550955119979528192) z (*.f64 x y)))))
z

Compiler

Compiled 105 to 59 computations (43.8% saved)

soundness0.0ms (0%)

end41.0ms (0.1%)

Compiler: Compiled 90 to 35 computations (61.1% saved)

Details

analyze231.0ms (0.7%)

sample2.4s (7.4%)

preprocess15.0ms (0%)

simplify8.0ms (0%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0%)

series21.0ms (0.1%)

rewrite46.0ms (0.1%)

simplify39.0ms (0.1%)

eval16.0ms (0%)

prune17.0ms (0.1%)

localize15.0ms (0%)

series3.6s (11.3%)

rewrite61.0ms (0.2%)

simplify48.0ms (0.2%)

localize7.0ms (0%)

localize18.0ms (0.1%)

series43.0ms (0.1%)

rewrite46.0ms (0.1%)

simplify66.0ms (0.2%)

localize22.0ms (0.1%)

series5.6s (17.5%)

rewrite42.0ms (0.1%)

simplify38.0ms (0.1%)

localize23.0ms (0.1%)

series39.0ms (0.1%)

rewrite52.0ms (0.2%)

simplify68.0ms (0.2%)

eval258.0ms (0.8%)

prune120.0ms (0.4%)

localize18.0ms (0.1%)

series23.0ms (0.1%)

rewrite42.0ms (0.1%)

simplify51.0ms (0.2%)

localize5.0ms (0%)

localize16.0ms (0.1%)

series21.0ms (0.1%)

rewrite50.0ms (0.2%)

simplify57.0ms (0.2%)

localize13.0ms (0%)

series3.1s (9.6%)

rewrite44.0ms (0.1%)

simplify50.0ms (0.2%)

localize20.0ms (0.1%)

series7.2s (22.2%)

rewrite48.0ms (0.1%)

simplify55.0ms (0.2%)

eval181.0ms (0.6%)

prune134.0ms (0.4%)

localize17.0ms (0.1%)

series14.0ms (0%)

rewrite44.0ms (0.1%)

simplify46.0ms (0.1%)

localize3.0ms (0%)

localize12.0ms (0%)

localize13.0ms (0%)

series3.2s (10%)

rewrite44.0ms (0.1%)

simplify39.0ms (0.1%)

localize18.0ms (0.1%)

series3.9s (12.1%)

rewrite40.0ms (0.1%)

simplify49.0ms (0.2%)

eval81.0ms (0.3%)

prune70.0ms (0.2%)

regimes88.0ms (0.3%)

regimes54.0ms (0.2%)

bsearch88.0ms (0.3%)

regimes32.0ms (0.1%)

bsearch54.0ms (0.2%)

regimes12.0ms (0%)

regimes29.0ms (0.1%)

bsearch87.0ms (0.3%)

simplify6.0ms (0%)

soundness0.0ms (0%)

end41.0ms (0.1%)

Profiling