Details

analyze279.0ms (3.5%)

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)

sample2.6s (32.1%)

Results

1.2s	5095×	body	256	valid
1.1s	2115×	body	1024	valid
345.0ms	1044×	body	512	valid
1.0ms	2×	body	2048	valid

Bogosity

preprocess17.0ms (0.2%)

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)

simplify6.0ms (0.1%)

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)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.1b	(*.f64 x (sin.f64 y))
✓	0.1b	(*.f64 z (cos.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series10.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`log-prod_binary64`
382×	`prod-exp_binary64`
361×	`exp-prod_binary64`
332×	`pow-prod-down_binary64`
325×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	187	24
2	2497	24

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

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

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

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#<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 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 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 y)) (*.f64 (sqrt.f64 (sin.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 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.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 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 z (cos.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (*.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (*.f64 x (sin.f64 y)))))))

simplify71.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

484×	`cancel-sign-sub-inv_binary64`
406×	`difference-of-squares_binary64`
364×	`fma-neg_binary64`
350×	`associate-/l*_binary64`
247×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	365	2659
1	861	2604
2	2861	2601

Stop Event

1×	node limit

Counts

213 → 195

Calls

Call 1

Inputs
(*.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 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.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 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y x) (+.f64 z (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(+.f64 0 (*.f64 z (cos.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (cos.f64 y)))) 1)
(pow.f64 (*.f64 z (cos.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 z (cos.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 z (cos.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 z (cos.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 z (cos.f64 y))))) (sqrt.f64 (log.f64 (.f64 z (cos.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.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))))
(exp.f64 (.f64 (log.f64 (.f64 z (cos.f64 y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 z (cos.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 z (cos.f64 y)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (cos.f64 y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 z (cos.f64 y))) 3) 1/3))
(exp.f64 (+.f64 (*.f64 (log.f64 z) 1) (log.f64 (cos.f64 y))))
(exp.f64 (+.f64 (log.f64 z) (*.f64 (log.f64 (cos.f64 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 z) 1) (.f64 (log.f64 (cos.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (cos.f64 y)) 1) (log.f64 z)))
(exp.f64 (+.f64 (log.f64 (cos.f64 y)) (*.f64 (log.f64 z) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (cos.f64 y)) 1) (.f64 (log.f64 z) 1)))
(+.f64 0 (*.f64 x (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 x (sin.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 x (sin.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sin.f64 y))))) (sqrt.f64 (log.f64 (.f64 x (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))
(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))))
(exp.f64 (.f64 (log.f64 (.f64 x (sin.f64 y))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sin.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sin.f64 y)))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sin.f64 y)))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sin.f64 y))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sin.f64 y))) 3) 1/3))
(exp.f64 (+.f64 (*.f64 (log.f64 x) 1) (log.f64 (sin.f64 y))))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 (sin.f64 y)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sin.f64 y)) 1) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 (sin.f64 y)) (*.f64 (log.f64 x) 1)))
(exp.f64 (+.f64 (.f64 (log.f64 (sin.f64 y)) 1) (.f64 (log.f64 x) 1)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))) (/.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))) 1)
(.f64 1 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))
(.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 2) (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (/.f64 1 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 (.f64 z (cos.f64 y)) (*.f64 x (sin.f64 y))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) (neg.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 z (cos.f64 y)) 2))) (neg.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))))
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 1)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(pow.f64 (/.f64 (fma.f64 (.f64 z (cos.f64 y)) (-.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 z (cos.f64 y)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y))) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 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 x (sin.f64 y))))) 2)) (cbrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))))) (sqrt.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 x) (sin.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y)))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))))
(exp.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y)))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y))))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 x (sin.f64 y))))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))) 1) 1))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 (.f64 z (cos.f64 y)) 1 (.f64 x (sin.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sin.f64 y)) 1 (.f64 z (cos.f64 y)))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 1 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 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 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) x) (.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))

Outputs
(*.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 -1/2 (.f64 y (.f64 y z)) z)
(fma.f64 -1/2 (.f64 (.f64 z y) y) 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 z (.f64 y y)) z) (.f64 (.f64 1/24 (pow.f64 y 4)) z))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(fma.f64 -1/2 (.f64 (.f64 z y) y) (fma.f64 1/24 (*.f64 z (pow.f64 y 4)) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (+.f64 z (.f64 (*.f64 1/24 (pow.f64 y 4)) z))))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 1/24 (.f64 z (pow.f64 y 4)) z)))
(+.f64 (.f64 z (+.f64 (+.f64 (.f64 (.f64 -1/2 y) y) (.f64 -1/720 (pow.f64 y 6))) (*.f64 1/24 (pow.f64 y 4)))) z)
(*.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 -1/6 (.f64 x (pow.f64 y 3))))
(.f64 x (+.f64 y (.f64 -1/6 (pow.f64 y 3))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (.f64 x (+.f64 y (*.f64 -1/6 (pow.f64 y 3)))))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))))))
(.f64 x (+.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 -1/5040 (pow.f64 y 7))) (+.f64 (.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 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(*.f64 (sin.f64 y) x)
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 y x z))
(fma.f64 -1/2 (.f64 y (.f64 y z)) (fma.f64 y x z))
(fma.f64 -1/2 (.f64 (.f64 z y) y) (fma.f64 y x z))
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eval39.0ms (0.5%)

Compiler: Compiled 3171 to 1038 computations (67.3% saved)

prune50.0ms (0.6%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	175	20	195
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	175	21	196

Error

0.0b

Counts

196 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
	32.9b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
▶	31.9b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	18.1b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	29.1b	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	3.1b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) x) (.f64 z (cos.f64 y)))
	0.3b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
	32.7b	(fma.f64 y x z)
	29.6b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	0.7b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
	30.9b	(+.f64 (+.f64 (.f64 y x) (.f64 -1/6 (.f64 (pow.f64 y 3) x))) (.f64 z (cos.f64 y)))
	25.9b	(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
▶	32.7b	(+.f64 (*.f64 y x) z)
	31.4b	(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))) (.f64 z (cos.f64 y)))
	0.8b	(+.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)))
▶	24.1b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
▶	33.8b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
	20.1b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))

Compiler

Compiled 600 to 400 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series4.0ms (0.1%)

Counts

2 → 40

Calls

15 calls:

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

rewrite47.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary64`
689×	`add-log-exp_binary64`
689×	`log1p-expm1-u_binary64`
689×	`expm1-log1p-u_binary64`
672×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	156	18
2	1853	18

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

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

Outputs

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

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

537×	`fma-def_binary64`
375×	`fma-neg_binary64`
338×	`associate-/l*_binary64`
315×	`log-prod_binary64`
282×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	880
1	292	872
2	1142	855
3	4393	829

Stop Event

1×	node limit

Counts

74 → 72

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 y x) z)

Compiler

Compiled 14 to 5 computations (64.3% saved)

series7.0ms (0.1%)

Counts

1 → 9

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(+.f64 (*.f64 y x) z)
0.0ms	y	@	-inf	(+.f64 (*.f64 y x) z)
0.0ms	y	@	0	(+.f64 (*.f64 y x) z)
0.0ms	x	@	-inf	(+.f64 (*.f64 y x) z)
0.0ms	x	@	inf	(+.f64 (*.f64 y x) z)

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

707×	`pow1_binary64`
655×	`add-log-exp_binary64`
655×	`log1p-expm1-u_binary64`
655×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	129	5
2	1775	5

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-neg_binary64`
492×	`associate-l_binary64`
445×	`div-sub_binary64`
434×	`associate-r_binary64`
237×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	539
1	217	424
2	719	334
3	4753	334

Stop Event

1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 (pow.f64 y 2) z))
	0.0b	(+.f64 (*.f64 y x) z)
✓	3.4b	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
✓	8.5b	(*.f64 (pow.f64 y 2) z)

Compiler

Compiled 44 to 23 computations (47.7% saved)

series9.0ms (0.1%)

Counts

3 → 21

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 (pow.f64 y 2) z)
1.0ms	z	@	0	(*.f64 (pow.f64 y 2) z)
1.0ms	y	@	inf	(*.f64 (pow.f64 y 2) z)
1.0ms	x	@	0	(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
0.0ms	z	@	inf	(*.f64 (pow.f64 y 2) z)

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`log-prod_binary64`
630×	`fma-def_binary64`
341×	`pow2_binary64`
334×	`fma-neg_binary64`
235×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	269	32
2	3619	32

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 2) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))

Outputs

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(fma.f64 y x (*.f64 (*.f64 (*.f64 y y) z) -1/2))) z)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 z) (*.f64 y y) (fma.f64 y x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (pow.f64 (cbrt.f64 (*.f64 (*.f64 y y) z)) 2)) (cbrt.f64 (*.f64 (*.f64 y y) z)) (fma.f64 y x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 y (sqrt.f64 z))) (*.f64 y (sqrt.f64 z)) (fma.f64 y x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 y y) -1/2) 1) z (fma.f64 y x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 y y) -1/2) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 y x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 y y) -1/2) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 y x z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (+.f64 z (*.f64 (*.f64 (*.f64 y y) z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 z (*.f64 (*.f64 (*.f64 y y) z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y) (+.f64 z (*.f64 (*.f64 (*.f64 y y) z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y) (+.f64 z (*.f64 (*.f64 (*.f64 y y) z) -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (*.f64 y y) z) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) (*.f64 y y)) -1/2)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 z) (*.f64 y y)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) (*.f64 y y)) -1/2))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 z) (*.f64 y y)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 y y) z) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (*.f64 y y) z) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 (*.f64 y y) z) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 y (sqrt.f64 z)) (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) z) 3) -1/8) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (*.f64 z z) (pow.f64 y 4)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 z) (*.f64 y y)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (*.f64 y y) z) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 y y) z) 3) -1/8))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (*.f64 y y) z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (*.f64 y y) z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (*.f64 y y) z) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 y y) z) -1/2)) 1))))))

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

562×	`unswap-sqr_binary64`
418×	`cancel-sign-sub-inv_binary64`
344×	`fma-neg_binary64`
308×	`associate-/l*_binary64`
292×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	2857
1	830	2630
2	2541	2560

Stop Event

1×	node limit

Counts

155 → 193

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.1b	(*.f64 z (cos.f64 y))
✓	0.1b	(pow.f64 (*.f64 z (cos.f64 y)) 3)
✓	37.0b	(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))

Compiler

Compiled 44 to 17 computations (61.4% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite48.0ms (0.6%)

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)))))))))

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

765×	`fma-def_binary64`
380×	`exp-prod_binary64`
358×	`cube-prod_binary64`
352×	`fma-neg_binary64`
344×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	957
1	427	931
2	1569	898
3	5501	898

Stop Event

1×	node limit

Counts

102 → 85

Calls

Call 1

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

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series12.0ms (0.1%)

Counts

2 → 37

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
1.0ms	z	@	-inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
1.0ms	z	@	0	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
1.0ms	z	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
1.0ms	y	@	-inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	196	22
2	2329	22

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

652×	`distribute-rgt-in_binary64`
623×	`distribute-lft-in_binary64`
423×	`fma-def_binary64`
343×	`times-frac_binary64`
324×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	875
1	321	863
2	1164	849
3	3855	821

Stop Event

1×	node limit

Counts

71 → 76

Calls

Call 1

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

eval162.0ms (2%)

Compiler: Compiled 11783 to 4763 computations (59.6% saved)

prune217.0ms (2.7%)

Pruning

29 alts after pruning (25 fresh and 4 done)

	Pruned	Kept	Total
New	639	18	657
Fresh	8	7	15
Picked	1	0	1
Done	1	4	5
Total	649	29	678

Error

0.0b

Counts

678 → 29

Alt Table

Click to see full alt table

Status	Error	Program
	32.1b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) (sqrt.f64 z))) 3) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
	32.9b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
	45.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
▶	29.1b	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	3.1b	(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) x) (.f64 z (cos.f64 y)))
	37.0b	(pow.f64 (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 3)
	30.9b	(+.f64 (+.f64 (.f64 y x) (.f64 -1/6 (.f64 (pow.f64 y 3) x))) (.f64 z (cos.f64 y)))
	44.0b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	32.7b	(+.f64 (*.f64 y x) z)
	31.4b	(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))) (.f64 z (cos.f64 y)))
	18.6b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (.f64 z (cos.f64 y)))))
	31.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
▶	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
	18.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	24.1b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	24.1b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
▶	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
	36.0b	(*.f64 (sin.f64 y) x)
	27.8b	(*.f64 (cos.f64 y) z)
	42.8b	(.f64 z (+.f64 1 (.f64 y (*.f64 y -1/2))))
	62.6b	(.f64 y (.f64 (*.f64 z y) -1/2))
▶	53.5b	(*.f64 y x)
	62.7b	(.f64 -1/2 (.f64 z (*.f64 y y)))
	38.7b	(cbrt.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) 3))
	41.0b	z

Compiler

Compiled 752 to 506 computations (32.7% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
✓	0.2b	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
✓	0.2b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
✓	0.3b	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 57 to 22 computations (61.4% saved)

series19.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	y	@	0	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	y	@	inf	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	y	@	-inf	(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
2.0ms	z	@	0	(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

766×	`pow1_binary64`
705×	`add-log-exp_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	181	30
2	2011	30

Stop Event

1×	node limit

Counts

4 → 62

Calls

Call 1

Inputs
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))

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

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

592×	`distribute-rgt-in_binary64`
557×	`distribute-lft-in_binary64`
526×	`fma-def_binary64`
419×	`log-prod_binary64`
242×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	181	1323
1	398	1228
2	1369	1141
3	4180	1133

Stop Event

1×	node limit

Counts

134 → 133

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) 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)
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 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.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 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 1)
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 1)
(pow.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) z) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 3)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (.f64 z z)))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) z))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 2)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(-.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))
(cbrt.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 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 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(fma.f64 -1/6 (*.f64 y y) (fma.f64 -1/72 (pow.f64 y 4) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 1 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/6 (*.f64 y y) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/3))
(fma.f64 (*.f64 y y) -1/3 1)
(fma.f64 y (*.f64 y -1/3) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 2)) (.f64 -1/405 (pow.f64 y 6))))
(+.f64 1 (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405)))
(+.f64 1 (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3))))
(fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1))
(+.f64 1 (+.f64 (.f64 -1/1701 (pow.f64 y 8)) (+.f64 (.f64 -1/3 (pow.f64 y 2)) (*.f64 -1/405 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (.f64 y y) (.f64 (pow.f64 y 6) -1/405))))
(+.f64 1 (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (*.f64 y -1/3) 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
z
(+.f64 z (.f64 -1/3 (.f64 (pow.f64 y 2) z)))
(+.f64 z (.f64 -1/3 (.f64 (*.f64 y y) z)))
(.f64 (fma.f64 (.f64 y y) -1/3 1) z)
(.f64 (fma.f64 y (.f64 y -1/3) 1) z)
(+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z))))
(+.f64 z (fma.f64 -1/405 (.f64 (pow.f64 y 6) z) (.f64 -1/3 (.f64 (.f64 y y) z))))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (*.f64 y -1/3)))))
(.f64 z (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (.f64 y -1/3) 1)))
(fma.f64 z (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3))) z)
(+.f64 (.f64 -1/1701 (.f64 (pow.f64 y 8) z)) (+.f64 z (+.f64 (.f64 -1/405 (.f64 (pow.f64 y 6) z)) (.f64 -1/3 (.f64 (pow.f64 y 2) z)))))
(fma.f64 -1/1701 (.f64 (pow.f64 y 8) z) (+.f64 z (fma.f64 -1/405 (.f64 (pow.f64 y 6) z) (.f64 -1/3 (.f64 (*.f64 y y) z)))))
(+.f64 (.f64 z (fma.f64 (pow.f64 y 6) -1/405 (.f64 y (.f64 y -1/3)))) (fma.f64 -1/1701 (.f64 (pow.f64 y 8) z) z))
(+.f64 z (.f64 z (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (.f64 y -1/3) (*.f64 -1/1701 (pow.f64 y 8))))))
(.f64 z (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 (pow.f64 y 6) -1/405 (fma.f64 y (.f64 y -1/3) 1))))
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) z)
(.f64 (pow.f64 (.f64 1 (pow.f64 (cos.f64 y) 2)) 1/3) z)
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) 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)
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 y (.f64 y z)) -1/2 z)
(.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 (.f64 y y) z) z) (.f64 1/24 (.f64 (pow.f64 y 4) z)))
(fma.f64 (.f64 y (.f64 y z)) -1/2 (fma.f64 1/24 (*.f64 (pow.f64 y 4) z) z))
(.f64 z (+.f64 (.f64 y (*.f64 y -1/2)) (fma.f64 (pow.f64 y 4) 1/24 1)))
(.f64 z (+.f64 (fma.f64 (.f64 y -1/2) y 1) (*.f64 (pow.f64 y 4) 1/24)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(fma.f64 -1/2 (.f64 (.f64 y y) z) (fma.f64 -1/720 (.f64 (pow.f64 y 6) z) (+.f64 z (.f64 1/24 (*.f64 (pow.f64 y 4) z)))))
(fma.f64 (.f64 y (.f64 y z)) -1/2 (fma.f64 (.f64 (pow.f64 y 6) z) -1/720 (fma.f64 1/24 (.f64 (pow.f64 y 4) z) z)))
(fma.f64 z (fma.f64 (.f64 y y) -1/2 (.f64 (pow.f64 y 6) -1/720)) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(.f64 z (+.f64 (fma.f64 (pow.f64 y 4) 1/24 1) (fma.f64 (.f64 y y) -1/2 (*.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 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(pow.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/6) 4)
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(fabs.f64 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(*.f64 (sqrt.f64 (cos.f64 y)) (pow.f64 (cos.f64 y) 1/6))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (pow.f64 (cos.f64 y) 1/6) (.f64 (pow.f64 (cos.f64 y) 1/6) (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 0)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(-.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 1)
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z) 1)
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) z) 1/3)
(cbrt.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)) 3)
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 y)) (sqrt.f64 z)) 2)
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 4) (.f64 z z)))
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) z))
(cbrt.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(cbrt.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)))
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (.f64 z (pow.f64 (.f64 (cos.f64 y) z) 2)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) z)))
(+.f64 1 (-.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1))
(+.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 0)
(*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(-.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)
(cbrt.f64 (.f64 (cos.f64 y) (.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) z)))
(*.f64 (cos.f64 y) z)
(cbrt.f64 (*.f64 (pow.f64 z 3) (pow.f64 (cos.f64 y) 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)

localize10.0ms (0.1%)

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

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 6 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite57.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`pow1_binary64`
741×	`add-log-exp_binary64`
741×	`log1p-expm1-u_binary64`
741×	`expm1-log1p-u_binary64`
724×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	148	7
2	1998	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

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

Outputs

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

844×	`fma-neg_binary64`
521×	`associate-l_binary64`
480×	`associate-r_binary64`
446×	`div-sub_binary64`
289×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	678
1	262	649
2	850	646
3	5216	646

Stop Event

1×	node limit

Counts

71 → 51

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
✓	0.1b	(*.f64 (cos.f64 y) z)
✓	0.6b	(cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))
✓	0.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 3)

Compiler

Compiled 50 to 12 computations (76% saved)

series55.0ms (0.7%)

Counts

3 → 52

Calls

24 calls:

Time	Variable		Point	Expression
21.0ms	z	@	0	(cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))
9.0ms	y	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 3)
8.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 3)
3.0ms	z	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 3)

rewrite85.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`log-prod_binary64`
386×	`pow-prod-down_binary64`
335×	`fma-def_binary64`
297×	`pow2_binary64`
208×	`pow-to-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	254	32
2	2981	32

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (pow.f64 (*.f64 (cos.f64 y) z) 2))) (cbrt.f64 (-.f64 (*.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) (pow.f64 (*.f64 (cos.f64 y) z) 3))) (cbrt.f64 (fma.f64 (*.f64 (cos.f64 y) z) (-.f64 (*.f64 (cos.f64 y) z) (*.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 1) 1))))))

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

simplify188.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

711×	`associate-r_binary64`
618×	`associate-l_binary64`
486×	`fma-def_binary64`
405×	`*-commutative_binary64`
242×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	631	4294974686
1	1929	6447
2	7345	6447

Stop Event

1×	node limit

Counts

186 → 249

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4))) 1/9) (sin.f64 y))) (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y)))))) x) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4))) 1/9) (sin.f64 y))) (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y)))))) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4))) 1/9) (pow.f64 (sin.f64 y) 2)))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y)))) (sin.f64 y)))))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 y) z))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4))) 1/9) (sin.f64 y))) (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y)))))) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))))) (+.f64 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/3) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4))) 1/9) (pow.f64 (sin.f64 y) 2)))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y)))) (sin.f64 y)))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 z 5) (pow.f64 (cos.f64 y) 5))) 1/9) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 z (cos.f64 y))) 1/9) (pow.f64 (sin.f64 y) 2)))) (sin.f64 y)))) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/3) (pow.f64 (sin.f64 y) 3))) 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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 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 z (.f64 1/24 (.f64 (pow.f64 y 4) z)))))
(*.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 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(+.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(+.f64 0 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 1)
(-.f64 (/.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) (/.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1)
(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2))
(.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2)))
(.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/6) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 5/6))
(.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (/.f64 1 (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2))))
(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 5/6) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 2) 1) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 x (.f64 (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))) (neg.f64 (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (neg.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (pow.f64 (.f64 x (sin.f64 y)) 2)) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y)))) (pow.f64 (exp.f64 (cos.f64 y)) z)))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 (cos.f64 y) z)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 y) z))) (pow.f64 (exp.f64 x) (sin.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 (cos.f64 y)) z) (+.f64 1 (expm1.f64 (.f64 x (sin.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 y) z))) (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 1/3))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 3/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 3/2) 2))
(fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))
(fma.f64 (sin.f64 y) x (*.f64 (cos.f64 y) z))
(fma.f64 (.f64 x (sin.f64 y)) 1 (.f64 (cos.f64 y) z))
(fma.f64 (cos.f64 y) z (*.f64 x (sin.f64 y)))
(fma.f64 z (cos.f64 y) (*.f64 x (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) z) 1 (.f64 x (sin.f64 y)))
(fma.f64 1 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(fma.f64 1 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (*.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) 2) (cbrt.f64 (.f64 (cos.f64 y) z)) (*.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 2) (cbrt.f64 (.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 (cos.f64 y) z))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x) (.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (.f64 (cos.f64 y) z)) (sqrt.f64 (.f64 (cos.f64 y) z)) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) (*.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)) (.f64 (cos.f64 y) z))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x) (.f64 (cos.f64 y) z))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)) (.f64 (cos.f64 y) z))
(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 (cos.f64 y) z))
(fma.f64 (.f64 (sin.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (cos.f64 y) z))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
(+.f64 0 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))) 1)
(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 1)
(.f64 1 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/6) (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) z) 2))) (cbrt.f64 (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3))) (cbrt.f64 (fma.f64 (.f64 (cos.f64 y) z) (-.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y))) (pow.f64 (.f64 x (sin.f64 y)) 2))))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2) 1/6)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 2) 3/2)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2/3)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/6)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 1) 1))
(+.f64 0 (*.f64 (cos.f64 y) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 y) z))) 1)
(pow.f64 (*.f64 (cos.f64 y) z) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(log.f64 (+.f64 1 (expm1.f64 (*.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)))
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 y) z))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) 2))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 y) z))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 y) z)) 3) 1/3))

Outputs
(.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4))) 1/9) (sin.f64 y))) (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 z (cos.f64 y))) 1/9) (sin.f64 y))) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (cos.f64 y) z)) 1/9) (sin.f64 y)))))) x) (.f64 (pow.f64 1 1/3) (.f64 (cos.f64 y) z)))
(fma.f64 (fma.f64 1/3 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (cos.f64 y) 4) (pow.f64 z 4)) 1/18)) (sin.f64 y)) (.f64 (.f64 1/3 (+.f64 (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/18) (pow.f64 (.f64 (cos.f64 y) z) 1/18))) (.f64 (sin.f64 y) (.f64 (pow.f64 (.f64 (cos.f64 y) z) 1/18) (pow.f64 (.f64 (cos.f64 y) z) 1/18))))) (cbrt.f64 (.f64 (cos.f64 y) z)))) x (.f64 (cos.f64 y) z))
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(*.f64 (pow.f64 1 1/3) z)
z
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(fma.f64 y (.f64 (.f64 x (*.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18))) 1) z)
(fma.f64 y (.f64 x (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18))) z)
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(pow.f64 (*.f64 (cos.f64 y) z) 1/3)
(cbrt.f64 (*.f64 (cos.f64 y) z))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (pow.f64 z 2))) 1/9) (.f64 (sin.f64 y) x))) (pow.f64 (*.f64 (cos.f64 y) z) 1/3))
(fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (cos.f64 y) 2) (.f64 z z))) 1/18)) (.f64 (sin.f64 y) x)) (cbrt.f64 (.f64 (cos.f64 y) z)))
(fma.f64 1/3 (.f64 (.f64 (.f64 (sin.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (.f64 (cos.f64 y) z) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (.f64 (cos.f64 y) z) 2)) 1/18)) (cbrt.f64 (.f64 (cos.f64 y) z)))
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(+.f64 (.f64 (.f64 -1/3 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (cos.f64 y) z) 2)))) (+.f64 (.f64 (fma.f64 -4/9 (.f64 (sin.f64 y) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (cos.f64 y) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (cos.f64 y) 5)) 1/18)) (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/18) (pow.f64 (sin.f64 y) 2)))) 1/3)) (fma.f64 (.f64 (sin.f64 y) (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (cos.f64 y) 5)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 z 5)) (pow.f64 (cos.f64 y) 5)) 1/18)) (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/18) (pow.f64 (sin.f64 y) 2)))) 1/3)) -2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (cos.f64 y) z) 2))) (.f64 (pow.f64 (sin.f64 y) 3) 1/27)))) (pow.f64 x 3)) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (cos.f64 y) z)) 1/18) (pow.f64 (sin.f64 y) 2))) (.f64 1/3 (.f64 x x))))) (fma.f64 1/3 (.f64 (.f64 (.f64 (sin.f64 y) x) (pow.f64 (/.f64 1 (pow.f64 (.f64 (cos.f64 y) z) 2)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (.f64 (cos.f64 y) z) 2)) 1/18)) (cbrt.f64 (.f64 (cos.f64 y) z))))
(pow.f64 z 1/3)
(cbrt.f64 z)
(+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x))))
(+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (.f64 y x))) (cbrt.f64 z))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (*.f64 y x))) (cbrt.f64 z))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (+.f64 (pow.f64 z 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (*.f64 y x)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 z z))) (.f64 (.f64 y y) (+.f64 (.f64 z -1/2) (.f64 -1/3 (.f64 (.f64 x x) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18))))))) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (pow.f64 (/.f64 1 (.f64 z z)) 1/18)) (*.f64 y x))) (cbrt.f64 z)))
(fma.f64 1/3 (.f64 (.f64 y y) (.f64 (fma.f64 z -1/2 (.f64 (.f64 -1/3 (.f64 x x)) (.f64 (pow.f64 (/.f64 1 z) 1/18) (pow.f64 (/.f64 1 z) 1/18)))) (cbrt.f64 (/.f64 1 (.f64 z z))))) (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 z z)) 1/18) (*.f64 y x))) (cbrt.f64 z)))
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(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))) 2))
(fabs.f64 (cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 1/3))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 1))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) 3))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1/6)) 2))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))) 3/2))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1) 1/3))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1/3) 1))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 1) 1))
(cbrt.f64 (fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x)))
(+.f64 0 (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))))
(-.f64 (exp.f64 (log1p.f64 (*.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) 2) 1/2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(fabs.f64 (*.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)
(pow.f64 (pow.f64 (*.f64 (cos.f64 y) z) 3) 1/3)
(*.f64 (cos.f64 y) z)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 y) z) 2))
(fabs.f64 (*.f64 (cos.f64 y) z))
(log.f64 (pow.f64 (exp.f64 (cos.f64 y)) z))
(*.f64 (cos.f64 y) z)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 y) z))))
(*.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)
(exp.f64 (.f64 (log.f64 (.f64 (cos.f64 y) z)) 1))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cos.f64 y) z))) 3))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cos.f64 y) z))) 2))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (cos.f64 y) z))) 1/3))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 y) z)) 1) 1))
(*.f64 (cos.f64 y) z)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cos.f64 y) z)) 3) 1/3))
(*.f64 (cos.f64 y) z)

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (sin.f64 y))
✓	0.1b	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	0.1b	(*.f64 x (sqrt.f64 (sin.f64 y)))
	0.1b	(*.f64 z (cos.f64 y))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series8.0ms (0.1%)

Counts

3 → 53

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 x (sqrt.f64 (sin.f64 y)))
1.0ms	x	@	0	(*.f64 x (sqrt.f64 (sin.f64 y)))
1.0ms	y	@	0	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
1.0ms	x	@	inf	(*.f64 x (sqrt.f64 (sin.f64 y)))
1.0ms	y	@	inf	(*.f64 x (sqrt.f64 (sin.f64 y)))

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
850×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	196	27
2	2329	27

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

420×	`log-prod_binary64`
390×	`times-frac_binary64`
349×	`fma-neg_binary64`
341×	`fma-def_binary64`
334×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	1176
1	298	1119
2	1155	1064
3	4328	1025

Stop Event

1×	node limit

Counts

107 → 76

Calls

Call 1

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

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

eval412.0ms (5.1%)

Compiler: Compiled 20263 to 9846 computations (51.4% saved)

prune484.0ms (6%)

Pruning

34 alts after pruning (27 fresh and 7 done)

	Pruned	Kept	Total
New	702	16	718
Fresh	9	11	20
Picked	1	0	1
Done	1	7	8
Total	713	34	747

Error

0.0b

Counts

747 → 34

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (sin.f64 y) (cbrt.f64 x)) (.f64 (cos.f64 y) z))
	32.9b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
▶	45.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
	37.7b	(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) z)
	29.4b	(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)) (.f64 z (cos.f64 y)))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	24.8b	(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))) 3)
	36.5b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
	28.5b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	32.7b	(/.f64 (-.f64 (.f64 (sin.f64 y) (.f64 (sin.f64 y) (.f64 x x))) (pow.f64 (.f64 (cos.f64 y) z) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
	37.1b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	33.4b	(+.f64 (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))) z)
	44.0b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	32.7b	(+.f64 (*.f64 y x) z)
▶	33.4b	(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))) z)
	31.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	18.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 1/3) 2)) (cbrt.f64 (cos.f64 y))))
▶	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))
✓	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
	18.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	24.1b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	24.1b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
✓	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
	32.6b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	1.6b	(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2)))
	44.8b	(.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z (-.f64 z (*.f64 x (sin.f64 y)))))))
	36.0b	(*.f64 (sin.f64 y) x)
	27.8b	(*.f64 (cos.f64 y) z)
	42.8b	(.f64 z (+.f64 1 (.f64 y (*.f64 y -1/2))))
	62.6b	(.f64 y (.f64 (*.f64 z y) -1/2))
✓	53.5b	(*.f64 y x)
▶	62.7b	(.f64 -1/2 (.f64 z (*.f64 y y)))
	41.0b	z

Compiler

Compiled 936 to 606 computations (35.3% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
	0.2b	(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.5b	(+.f64 1 (cbrt.f64 (cos.f64 y)))

Compiler

Compiled 78 to 37 computations (52.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`pow1_binary64`
671×	`add-log-exp_binary64`
670×	`log1p-expm1-u_binary64`
670×	`expm1-log1p-u_binary64`
658×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	152	13
2	2081	13

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)

Outputs

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

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

917×	`times-frac_binary64`
513×	`distribute-rgt-in_binary64`
462×	`fma-neg_binary64`
461×	`distribute-lft-in_binary64`
406×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	1265
1	396	1213
2	1632	1206

Stop Event

1×	node limit

Counts

98 → 110

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 2 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cos.f64 y) 1/3)
(-.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (cbrt.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(*.f64 1 (+.f64 1 (cbrt.f64 (cos.f64 y))))
(*.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 1))
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)))
(.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1))
(*.f64 (+.f64 1 (cos.f64 y)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))))))
(*.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))) (+.f64 1 (cos.f64 y))))
(/.f64 1 (/.f64 (-.f64 1 (cbrt.f64 (cos.f64 y))) (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 1 (cos.f64 y))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (neg.f64 (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (*.f64 (+.f64 1 (cos.f64 y)) 1) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 3)
(pow.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 2)
(pow.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))
(log.f64 (exp.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3))
(expm1.f64 (log.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(log1p.f64 (expm1.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(fma.f64 1 (cbrt.f64 (cos.f64 y)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1)
(fma.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6) 1)
(+.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(+.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1))
(+.f64 (cbrt.f64 (cos.f64 y)) 0)
(+.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1)
(+.f64 -1 (+.f64 1 (cbrt.f64 (cos.f64 y))))
(+.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1)
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (/.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1) (-.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1)))
(/.f64 1 (/.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (-.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1)) (neg.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))) (-.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) -1)))
(pow.f64 (cos.f64 y) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(fma.f64 1 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) -1)

Outputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 2 (.f64 -1/6 (.f64 y y)))
(fma.f64 -1/6 (*.f64 y y) 2)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 2 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 2 (.f64 -1/6 (.f64 y y))))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 2))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 2 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 2 (.f64 -1/6 (.f64 y y)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 2)))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 1 (pow.f64 (cos.f64 y) 1/3))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 (pow.f64 (cos.f64 y) 1/3) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 (.f64 -1/6 (.f64 y y)) 1)
(fma.f64 -1/6 (*.f64 y y) 1)
(+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (.f64 -1/6 (pow.f64 y 2))))
(fma.f64 -1/72 (pow.f64 y 4) (+.f64 (.f64 -1/6 (.f64 y y)) 1))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1))
(+.f64 (.f64 -23/6480 (pow.f64 y 6)) (+.f64 (.f64 -1/72 (pow.f64 y 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (+.f64 (.f64 -1/6 (.f64 y y)) 1)))
(fma.f64 -23/6480 (pow.f64 y 6) (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 -1/6 (*.f64 y y) 1)))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(-.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(-.f64 (/.f64 1 (-.f64 1 (cbrt.f64 (cos.f64 y)))) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(*.f64 1 (+.f64 1 (cbrt.f64 (cos.f64 y))))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 1))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(*.f64 (+.f64 1 (cos.f64 y)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(*.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (/.f64 1 (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))) (+.f64 1 (cos.f64 y))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 1 (/.f64 (-.f64 1 (cbrt.f64 (cos.f64 y))) (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (neg.f64 (+.f64 1 (cos.f64 y))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y))))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))) (neg.f64 (-.f64 1 (cbrt.f64 (cos.f64 y)))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (*.f64 (+.f64 1 (cos.f64 y)) 1) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (+.f64 1 (cos.f64 y)) (+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (cos.f64 y)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 1 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(/.f64 (expm1.f64 (*.f64 (log.f64 (cos.f64 y)) 2/3)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 3)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(pow.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 2)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) 1/3)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(expm1.f64 (log.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(expm1.f64 (log.f64 (+.f64 2 (cbrt.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(fma.f64 1 (cbrt.f64 (cos.f64 y)) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(fma.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6) 1)
(+.f64 1 (cbrt.f64 (cos.f64 y)))
(+.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) -1))
(cbrt.f64 (cos.f64 y))
(+.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1))
(cbrt.f64 (cos.f64 y))
(+.f64 (cbrt.f64 (cos.f64 y)) 0)
(cbrt.f64 (cos.f64 y))
(+.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1)
(cbrt.f64 (cos.f64 y))
(+.f64 -1 (+.f64 1 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(+.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 1 (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cos.f64 y) 1/6))
(cbrt.f64 (cos.f64 y))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 2 (cbrt.f64 (cos.f64 y))) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (+.f64 2 (+.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (/.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) 1) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (-.f64 -2 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 y)))
(cbrt.f64 (cos.f64 y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 y)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (cbrt.f64 (sqrt.f64 (cos.f64 y))))
(*.f64 (+.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1) (-.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) 1))
(cbrt.f64 (cos.f64 y))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2)) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 2 (cbrt.f64 (cos.f64 y))) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (+.f64 2 (+.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 1 (/.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) 1) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (-.f64 -2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 2 (cbrt.f64 (cos.f64 y))) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (+.f64 2 (+.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1) (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (-.f64 1 (*.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 2 (cbrt.f64 (cos.f64 y))) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (+.f64 2 (+.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (+.f64 (cbrt.f64 (cos.f64 y)) 2))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) 1) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (-.f64 -2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) 1) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (-.f64 -2 (cbrt.f64 (cos.f64 y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) (+.f64 (cbrt.f64 (cos.f64 y)) 2))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (/.f64 1 (+.f64 (+.f64 2 (cbrt.f64 (cos.f64 y))) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 3)) (+.f64 2 (+.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2) -1)) (neg.f64 (+.f64 (cbrt.f64 (cos.f64 y)) 2)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) 1) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (+.f64 2 (cbrt.f64 (cos.f64 y))))
(/.f64 (-.f64 1 (pow.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 2)) (-.f64 -2 (cbrt.f64 (cos.f64 y))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1)) (+.f64 (cbrt.f64 (cos.f64 y)) -1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (-.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) 3)) (+.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 -1 (+.f64 (cbrt.f64 (cos.f64 y)) -1)))))
(/.f64 (-.f64 1 (*.f64 (+.f64 (cbrt.f64 (cos.f64 y)) -1) (+.f64 (cbrt.f64 (cos.f64 y)) -1))) (-.f64 1 (+.f64 (cbrt.f64 (cos.f64 y)) -1)))
(/.f64 (+.f64 1 (*.f64 (-.f64 1 (cbrt.f64 (cos.f64 y))) (+.f64 (cbrt.f64 (cos.f64 y)) -1))) (-.f64 2 (cbrt.f64 (cos.f64 y))))
(pow.f64 (cos.f64 y) 1/3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3)
(cbrt.f64 (cos.f64 y))
(pow.f64 (pow.f64 (cos.f64 y) 1/6) 2)
(cbrt.f64 (cos.f64 y))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(cbrt.f64 (cos.f64 y))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(cbrt.f64 (cos.f64 y))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 y))))
(cbrt.f64 (cos.f64 y))
(fma.f64 1 (+.f64 1 (cbrt.f64 (cos.f64 y))) -1)
(cbrt.f64 (cos.f64 y))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (+.f64 1 (cbrt.f64 (cos.f64 y)))) -1)
(cbrt.f64 (cos.f64 y))
(fma.f64 (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) (hypot.f64 1 (pow.f64 (cos.f64 y) 1/6)) -1)
(cbrt.f64 (cos.f64 y))

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 z (*.f64 y y)))
✓	8.5b	(.f64 z (.f64 y y))

Compiler

Compiled 21 to 8 computations (61.9% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 z (.f64 y y))
0.0ms	z	@	inf	(.f64 z (.f64 y y))
0.0ms	z	@	0	(.f64 -1/2 (.f64 z (*.f64 y y)))
0.0ms	y	@	inf	(.f64 z (.f64 y y))
0.0ms	y	@	-inf	(.f64 -1/2 (.f64 z (*.f64 y y)))

rewrite69.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

648×	`pow1_binary64`
598×	`add-log-exp_binary64`
598×	`log1p-expm1-u_binary64`
598×	`expm1-log1p-u_binary64`
584×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	143	17
2	1683	17

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 z (.f64 y y))
(.f64 -1/2 (.f64 z (*.f64 y y)))

Outputs

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

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

614×	`fma-def_binary64`
548×	`log-prod_binary64`
494×	`fma-neg_binary64`
399×	`log-div_binary64`
395×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	595
1	162	595
2	665	595
3	2494	595
4	6972	595

Stop Event

1×	node limit

Counts

70 → 28

Calls

Call 1

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

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

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/120 (pow.f64 y 5))
✓	0.1b	(*.f64 -1/6 (pow.f64 y 3))
✓	0.7b	(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)))
✓	20.3b	(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))

Compiler

Compiled 78 to 57 computations (26.9% saved)

series10.0ms (0.1%)

Counts

4 → 34

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)))
1.0ms	y	@	inf	(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
1.0ms	y	@	0	(*.f64 1/120 (pow.f64 y 5))
1.0ms	y	@	0	(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
0.0ms	y	@	0	(*.f64 -1/6 (pow.f64 y 3))

rewrite95.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`log-prod_binary64`
617×	`fma-def_binary64`
347×	`fma-neg_binary64`
268×	`expm1-udef_binary64`
268×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	47
1	324	47
2	4242	47

Stop Event

1×	node limit

Counts

4 → 185

Calls

Call 1

Inputs
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))
(.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)))
(*.f64 -1/6 (pow.f64 y 3))
(*.f64 1/120 (pow.f64 y 5))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 y 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))) (/.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2) (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (/.f64 1 (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (/.f64 1 (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36)) (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3))))))) 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3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5)))) (.f64 y y)) (-.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36)) (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)) (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 y) (exp.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 y) (.f64 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(pow.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/120 (pow.f64 y 5) y))) (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)) (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120)) (exp.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5)))) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)) (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120)) (+.f64 1 (expm1.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y 1 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (.f64 (.f64 y y) -1/6) (fma.f64 1/120 (pow.f64 y 5) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3) -1/6 (fma.f64 1/120 (pow.f64 y 5) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1/6 (pow.f64 y 3)) 1 (fma.f64 1/120 (pow.f64 y 5) y))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/120 (pow.f64 y 5) (+.f64 y (.f64 -1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 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egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (.f64 y (cbrt.f64 -1/6)) 2)) (.f64 y (cbrt.f64 -1/6)) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2))) (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -1/6 (pow.f64 y 3)) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 -1/6 (pow.f64 y 3)) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) 2)) (cbrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (fma.f64 1/120 (pow.f64 y 5) y))) (sqrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/6 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -1/6 (pow.f64 y 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/6 (pow.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (cbrt.f64 -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 y 3) 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 y 6) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 y 3) 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -1/6 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 y) (log1p.f64 -7/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 3 (log.f64 y) (log1p.f64 -7/6)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/120 (pow.f64 y 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/120 (pow.f64 y 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/120 (pow.f64 y 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/120 (pow.f64 y 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 1/120) (pow.f64 y 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 y 5) 3) 1/1728000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 y 10) 1/14400))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/120 (pow.f64 y 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 y 5) 3) 1/1728000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/120 (pow.f64 y 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/120 (pow.f64 y 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/120 (pow.f64 y 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 1/120 (pow.f64 y 5))) 1))))))

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

613×	`unswap-sqr_binary64`
400×	`times-frac_binary64`
376×	`cancel-sign-sub-inv_binary64`
290×	`fma-neg_binary64`
268×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	4317
1	1098	4236
2	3518	4114

Stop Event

1×	node limit

Counts

219 → 245

Calls

Call 1

Inputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(*.f64 1/120 (pow.f64 y 5))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(*.f64 1/120 (pow.f64 y 5))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) 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 -1/6 (*.f64 (pow.f64 y 3) x))))
(.f64 1/120 (.f64 (pow.f64 y 5) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) 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 -1/6 (*.f64 (pow.f64 y 3) x))))
(.f64 1/120 (.f64 (pow.f64 y 5) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) 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 -1/6 (*.f64 (pow.f64 y 3) x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 y 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))) (/.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2) (-.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 1)
(*.f64 1 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))
(.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (/.f64 1 (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (*.f64 (pow.f64 y 6) 1/36))))
(.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36)) (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)) (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (+.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 -1/6 (*.f64 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))))
(/.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3))) (neg.f64 (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2))) (neg.f64 (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))) 3) (pow.f64 y 3)) (fma.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))) (-.f64 (.f64 y y) (.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))) y))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2) (.f64 (pow.f64 y 6) 1/36)) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))))
(/.f64 (-.f64 (.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))) (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5)))) (.f64 y y)) (-.f64 (fma.f64 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5))) y))
(pow.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 1)
(pow.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 3)
(pow.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36)) (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)) (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 2))
(log.f64 (exp.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))))
(log.f64 (.f64 (exp.f64 y) (exp.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 y)) (exp.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))))))
(log.f64 (.f64 (exp.f64 y) (.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)) (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 y)) (.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)) (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/6 (pow.f64 y 3)))) (exp.f64 (fma.f64 1/120 (pow.f64 y 5) y))))
(log.f64 (*.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)) (+.f64 1 (expm1.f64 (fma.f64 1/120 (pow.f64 y 5) y)))))
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(+.f64 0 (*.f64 -1/6 (pow.f64 y 3)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 y 3)))) 1)
(pow.f64 (*.f64 -1/6 (pow.f64 y 3)) 1)
(pow.f64 (*.f64 y (cbrt.f64 -1/6)) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) -1/216) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 y 3)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 y 3))))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 y 3))))
(exp.f64 (fma.f64 3 (log.f64 y) (log1p.f64 -7/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 y) (log1p.f64 -7/6)) 1))
(+.f64 0 (*.f64 1/120 (pow.f64 y 5)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/120 (pow.f64 y 5)))) 1)
(pow.f64 (*.f64 1/120 (pow.f64 y 5)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/120 (pow.f64 y 5))) 3)
(pow.f64 (*.f64 (sqrt.f64 1/120) (pow.f64 y 5/2)) 2)
(pow.f64 (*.f64 (pow.f64 (pow.f64 y 5) 3) 1/1728000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 y 10) 1/14400))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/120 (pow.f64 y 5)))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 5) 3) 1/1728000))
(expm1.f64 (log1p.f64 (*.f64 1/120 (pow.f64 y 5))))
(log1p.f64 (expm1.f64 (*.f64 1/120 (pow.f64 y 5))))
(exp.f64 (log.f64 (*.f64 1/120 (pow.f64 y 5))))
(exp.f64 (.f64 (log.f64 (.f64 1/120 (pow.f64 y 5))) 1))

Outputs
y
(+.f64 (*.f64 -1/6 (pow.f64 y 3)) y)
(fma.f64 -1/6 (pow.f64 y 3) y)
(*.f64 1/120 (pow.f64 y 5))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5)))
(fma.f64 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(*.f64 1/120 (pow.f64 y 5))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (.f64 1/120 (pow.f64 y 5)))
(fma.f64 -1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5)))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (.f64 1/120 (pow.f64 y 5))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y)) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 y (*.f64 1/120 (pow.f64 y 5)))) x)
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))
(fma.f64 y x (.f64 (pow.f64 y 3) (.f64 -1/6 x)))
(*.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))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 1/120 (.f64 (pow.f64 y 5) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (.f64 -1/6 (.f64 (pow.f64 y 3) x)))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (.f64 (pow.f64 y 3) (*.f64 -1/6 x)))
(.f64 x (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(.f64 1/120 (.f64 (pow.f64 y 5) x))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (.f64 -1/6 (.f64 (pow.f64 y 3) x)))
(fma.f64 1/120 (.f64 (pow.f64 y 5) x) (.f64 (pow.f64 y 3) (*.f64 -1/6 x)))
(.f64 x (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))) 1)
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(-.f64 (/.f64 (.f64 (pow.f64 y 6) 1/36) (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))) (/.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2) (-.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))))
(/.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (fma.f64 (pow.f64 y 3) 1/6 (fma.f64 1/120 (pow.f64 y 5) y)))
(*.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 1)
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(*.f64 1 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(*.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 2))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) 2) (cbrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(*.f64 (sqrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))) (sqrt.f64 (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))
(fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))
(.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (/.f64 1 (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (*.f64 (pow.f64 y 6) 1/36))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) 1) (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (*.f64 (pow.f64 y 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 (pow.f64 y 3) 1/6 (fma.f64 1/120 (pow.f64 y 5) y)) (*.f64 (pow.f64 y 6) 1/36)))
(.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (/.f64 1 (-.f64 (*.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y))))
(/.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (fma.f64 (pow.f64 y 3) 1/6 (fma.f64 1/120 (pow.f64 y 5) y)))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36)) (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) 1) (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (*.f64 (pow.f64 y 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 (pow.f64 y 3) 1/6 (fma.f64 1/120 (pow.f64 y 5) y)) (*.f64 (pow.f64 y 6) 1/36)))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)) (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (fma.f64 (pow.f64 y 3) 1/6 (fma.f64 1/120 (pow.f64 y 5) y)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36)))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) 1) (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (*.f64 (pow.f64 y 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (fma.f64 (pow.f64 y 3) 1/6 (fma.f64 1/120 (pow.f64 y 5) y)) (*.f64 (pow.f64 y 6) 1/36)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (+.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2) (-.f64 (.f64 (pow.f64 y 6) 1/36) (.f64 -1/6 (*.f64 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (-.f64 (+.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2) (.f64 (pow.f64 y 6) 1/36)) (.f64 -1/6 (*.f64 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (+.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2) (fma.f64 (pow.f64 y 6) 1/36 (.f64 (.f64 (pow.f64 y 3) 1/6) (fma.f64 1/120 (pow.f64 y 5) y)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3)) (+.f64 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2) (fma.f64 (pow.f64 y 6) 1/36 (.f64 (.f64 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)) 1/6))))
(/.f64 (-.f64 (.f64 (pow.f64 y 6) 1/36) (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (-.f64 (.f64 -1/6 (pow.f64 y 3)) (fma.f64 1/120 (pow.f64 y 5) y)))
(/.f64 (fma.f64 (pow.f64 y 6) -1/36 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 2)) (fma.f64 (pow.f64 y 3) 1/6 (fma.f64 1/120 (pow.f64 y 5) y)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 y 3) 3) -1/216 (pow.f64 (fma.f64 1/120 (pow.f64 y 5) y) 3))) (neg.f64 (fma.f64 (fma.f64 1/120 (pow.f64 y 5) y) (-.f64 (fma.f64 1/120 (pow.f64 y 5) y) (.f64 -1/6 (pow.f64 y 3))) (.f64 (pow.f64 y 6) 1/36))))
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(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) 2) (.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) x) (.f64 (pow.f64 y 3) (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (pow.f64 (.f64 y (cbrt.f64 -1/6)) 2) (.f64 (.f64 y (cbrt.f64 -1/6)) x) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (.f64 -1/6 (pow.f64 y 3))) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 -1/6 (pow.f64 y 3)) (cbrt.f64 x)) (.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 -1/6 (.f64 (pow.f64 y 3) (cbrt.f64 x))) (.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (cbrt.f64 x) (fma.f64 1/120 (pow.f64 y 5) y)) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) (cbrt.f64 x)) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))
(fma.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) (.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) x) (.f64 (pow.f64 y 3) (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) (.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) x) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 -1/6 (pow.f64 y 3))) (*.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (fma.f64 1/120 (pow.f64 y 5) y)) (.f64 (pow.f64 y 3) (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (pow.f64 y 3) (.f64 -1/6 x)) 1 (.f64 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x) 1))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (fma.f64 -1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))) x (.f64 y x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x)) (cbrt.f64 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))) (cbrt.f64 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x)) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 y 3) (.f64 -1/6 x))) (cbrt.f64 (.f64 (pow.f64 y 3) (.f64 -1/6 x)))) (cbrt.f64 (.f64 (pow.f64 y 3) (.f64 -1/6 x))) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (sqrt.f64 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x)) (sqrt.f64 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x)) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 y 3) (.f64 -1/6 x))) (sqrt.f64 (.f64 (pow.f64 y 3) (.f64 -1/6 x))) (*.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2))) (.f64 (sqrt.f64 x) (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2))) (*.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) (sqrt.f64 x)) (.f64 (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) (sqrt.f64 x)) (*.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 1/120 (pow.f64 y 5) y))) (.f64 (sqrt.f64 x) (sqrt.f64 (fma.f64 1/120 (pow.f64 y 5) y))) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) (sqrt.f64 x)) (.f64 (sqrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) (sqrt.f64 x)) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 x -1/6) (pow.f64 y 3) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 x (pow.f64 y 3)) -1/6 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 x (pow.f64 (.f64 y (cbrt.f64 -1/6)) 2)) (.f64 y (cbrt.f64 -1/6)) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 x (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2))) (.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (.f64 -1/6 (pow.f64 y 3)) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (.f64 -1/6 (pow.f64 y 3)) (cbrt.f64 x)) (.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 -1/6 (.f64 (pow.f64 y 3) (cbrt.f64 (.f64 x x)))) (cbrt.f64 x) (.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 -1/6 (.f64 (pow.f64 y 3) (cbrt.f64 x))) (.f64 x (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (.f64 -1/6 (pow.f64 y 3)) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 (fma.f64 1/120 (pow.f64 y 5) y) x))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) 2)) (cbrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) (.f64 (pow.f64 y 3) (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 x (sqrt.f64 (fma.f64 1/120 (pow.f64 y 5) y))) (sqrt.f64 (fma.f64 1/120 (pow.f64 y 5) y)) (.f64 (pow.f64 y 3) (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(fma.f64 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (fma.f64 1/120 (pow.f64 y 5) y) (cbrt.f64 x)) (.f64 (pow.f64 y 3) (.f64 -1/6 x)))
(fma.f64 (.f64 (fma.f64 1/120 (pow.f64 y 5) y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (pow.f64 y 3) (*.f64 -1/6 x)))
(*.f64 x (fma.f64 -1/6 (pow.f64 y 3) (fma.f64 1/120 (pow.f64 y 5) y)))
(+.f64 0 (*.f64 -1/6 (pow.f64 y 3)))
(*.f64 -1/6 (pow.f64 y 3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3))) (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))))
(*.f64 -1/6 (pow.f64 y 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 y 3)))) 1)
(*.f64 -1/6 (pow.f64 y 3))
(pow.f64 (*.f64 -1/6 (pow.f64 y 3)) 1)
(*.f64 -1/6 (pow.f64 y 3))
(pow.f64 (*.f64 y (cbrt.f64 -1/6)) 3)
(*.f64 -1/6 (pow.f64 y 3))
(pow.f64 (*.f64 (sqrt.f64 -1/6) (pow.f64 y 3/2)) 2)
(*.f64 -1/6 (pow.f64 y 3))
(pow.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) -1/216))
(sqrt.f64 (*.f64 (pow.f64 y 6) 1/36))
(log.f64 (pow.f64 (exp.f64 -1/6) (pow.f64 y 3)))
(*.f64 -1/6 (pow.f64 y 3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/6 (pow.f64 y 3)))))
(*.f64 -1/6 (pow.f64 y 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 3) 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 -1/6 (pow.f64 y 3))
(log1p.f64 (expm1.f64 (*.f64 -1/6 (pow.f64 y 3))))
(*.f64 -1/6 (pow.f64 y 3))
(exp.f64 (fma.f64 3 (log.f64 y) (log1p.f64 -7/6)))
(*.f64 (pow.f64 y 3) (exp.f64 (log1p.f64 -7/6)))
(exp.f64 (*.f64 (fma.f64 3 (log.f64 y) (log1p.f64 -7/6)) 1))
(exp.f64 (fma.f64 3 (log.f64 y) (log1p.f64 -7/6)))
(*.f64 (pow.f64 y 3) (exp.f64 (log1p.f64 -7/6)))
(+.f64 0 (*.f64 1/120 (pow.f64 y 5)))
(*.f64 1/120 (pow.f64 y 5))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120)) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/120) (pow.f64 y 5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/120) (pow.f64 y 5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))))
(*.f64 1/120 (pow.f64 y 5))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/120 (pow.f64 y 5)))) 1)
(*.f64 1/120 (pow.f64 y 5))
(pow.f64 (*.f64 1/120 (pow.f64 y 5)) 1)
(*.f64 1/120 (pow.f64 y 5))
(pow.f64 (cbrt.f64 (*.f64 1/120 (pow.f64 y 5))) 3)
(*.f64 1/120 (pow.f64 y 5))
(pow.f64 (*.f64 (sqrt.f64 1/120) (pow.f64 y 5/2)) 2)
(*.f64 1/120 (pow.f64 y 5))
(pow.f64 (*.f64 (pow.f64 (pow.f64 y 5) 3) 1/1728000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 5) 3) 1/1728000))
(sqrt.f64 (*.f64 (pow.f64 y 10) 1/14400))
(log.f64 (pow.f64 (exp.f64 (pow.f64 y 5)) 1/120))
(*.f64 1/120 (pow.f64 y 5))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/120 (pow.f64 y 5)))))
(*.f64 1/120 (pow.f64 y 5))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 y 5) 3) 1/1728000))
(expm1.f64 (log1p.f64 (*.f64 1/120 (pow.f64 y 5))))
(*.f64 1/120 (pow.f64 y 5))
(log1p.f64 (expm1.f64 (*.f64 1/120 (pow.f64 y 5))))
(*.f64 1/120 (pow.f64 y 5))
(exp.f64 (log.f64 (*.f64 1/120 (pow.f64 y 5))))
(*.f64 1/120 (pow.f64 y 5))
(exp.f64 (.f64 (log.f64 (.f64 1/120 (pow.f64 y 5))) 1))
(*.f64 1/120 (pow.f64 y 5))

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 29 to 8 computations (72.4% saved)

series3.0ms (0%)

Counts

1 → 25

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
0.0ms	z	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
0.0ms	y	@	0	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
0.0ms	z	@	0	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
0.0ms	y	@	inf	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

843×	`pow1_binary64`
771×	`add-log-exp_binary64`
771×	`log1p-expm1-u_binary64`
771×	`expm1-log1p-u_binary64`
751×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	177	12
2	2113	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))

Outputs

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

488×	`fma-neg_binary64`
454×	`distribute-rgt-in_binary64`
436×	`distribute-lft-in_binary64`
348×	`fma-def_binary64`
286×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	506
1	201	501
2	747	497
3	2635	473
4	7027	473

Stop Event

1×	node limit

Counts

46 → 46

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (sin.f64 y) (cbrt.f64 x)) (.f64 (cos.f64 y) z))
✓	0.3b	(*.f64 (sin.f64 y) (cbrt.f64 x))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 40 to 14 computations (65% saved)

series36.0ms (0.5%)

Counts

4 → 39

Calls

21 calls:

Time	Variable		Point	Expression
20.0ms	x	@	-inf	(*.f64 (sin.f64 y) (cbrt.f64 x))
2.0ms	x	@	0	(pow.f64 (cbrt.f64 x) 2)
2.0ms	y	@	inf	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (sin.f64 y) (cbrt.f64 x)) (.f64 (cos.f64 y) z))
1.0ms	y	@	inf	(*.f64 (sin.f64 y) (cbrt.f64 x))
1.0ms	z	@	0	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (sin.f64 y) (cbrt.f64 x)) (.f64 (cos.f64 y) z))

rewrite63.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

535×	`log-prod_binary64`
410×	`exp-prod_binary64`
354×	`pow-prod-down_binary64`
291×	`pow2_binary64`
231×	`prod-diff_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	39
1	238	31
2	2697	29

Stop Event

1×	node limit

Counts

4 → 126

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 x) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 x)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cbrt.f64 x) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 x) (sin.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (cbrt.f64 x) (sin.f64 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (pow.f64 (sin.f64 y) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (sin.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (sin.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y))))) (sqrt.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (cbrt.f64 x) (sin.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x (pow.f64 (sin.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (cbrt.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (cbrt.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (sin.f64 y) 3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (sin.f64 y)) 1) (.f64 (cos.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) (sqrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 y) z))) (pow.f64 (exp.f64 x) (sin.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 (cos.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 1) 1))))))

simplify77.0ms (1%)

Algorithm

1×	egg-herbie

Rules

514×	`unswap-sqr_binary64`
428×	`log-prod_binary64`
422×	`distribute-rgt-in_binary64`
396×	`distribute-lft-in_binary64`
395×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	1698
1	762	1617
2	2385	1607
3	7136	1607

Stop Event

1×	node limit

Counts

165 → 176

Calls

Call 1

Inputs
(.f64 (pow.f64 (.f64 1 x) 1/3) y)
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) y) (.f64 -1/6 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 3))))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) y) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 3))) (.f64 1/120 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 5)))))
(+.f64 (.f64 (pow.f64 (.f64 1 x) 1/3) y) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 3))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 (.f64 1 x) 1/3) (pow.f64 y 7))) (.f64 1/120 (.f64 (pow.f64 (*.f64 1 x) 1/3) (pow.f64 y 5))))))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(.f64 (pow.f64 (.f64 1 x) 1/3) (sin.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
z
(+.f64 z (.f64 (pow.f64 1 1/3) (.f64 y x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 z (.f64 (pow.f64 1 1/3) (.f64 y x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (.f64 (pow.f64 y 3) x))) (+.f64 z (.f64 (pow.f64 1 1/3) (*.f64 y x)))))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (cos.f64 y) z) (.f64 (pow.f64 1 1/3) (*.f64 (sin.f64 y) x)))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(*.f64 (cos.f64 y) z)
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (*.f64 (cos.f64 y) z))
(+.f64 0 (cbrt.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)
(*.f64 (cbrt.f64 x) 1)
(*.f64 1 (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))
(pow.f64 x 1/3)
(pow.f64 (cbrt.f64 x) 1)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)
(pow.f64 (*.f64 x x) 1/6)
(pow.f64 (pow.f64 x 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3/2)
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)
(pow.f64 (sqrt.f64 x) 2/3)
(pow.f64 (pow.f64 x 1/6) 2)
(pow.f64 (exp.f64 1/3) (log.f64 x))
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2))
(fabs.f64 (cbrt.f64 x))
(log.f64 (exp.f64 (cbrt.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))
(expm1.f64 (log1p.f64 (cbrt.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 x)))
(exp.f64 (*.f64 (log.f64 x) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 x))) 3))
(exp.f64 (.f64 (.f64 1/6 (log.f64 x)) 2))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1/2))
(+.f64 0 (pow.f64 (cbrt.f64 x) 2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6))
(*.f64 (pow.f64 x 1/6) (sqrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x)))
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(cbrt.f64 (*.f64 x x))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2/3 (log.f64 x)))
(exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1))
(exp.f64 (*.f64 (log.f64 x) 2/3))
(exp.f64 (.f64 (.f64 2 (log.f64 x)) 1/3))
(exp.f64 (.f64 (.f64 1/3 (*.f64 2/3 (log.f64 x))) 3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1) 2/3))
(exp.f64 (.f64 (.f64 (log.f64 x) 1/3) 2))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 x)) 1) 2))
(exp.f64 (.f64 (.f64 (*.f64 2/3 (log.f64 x)) 1) 1))
(+.f64 0 (*.f64 (cbrt.f64 x) (sin.f64 y)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)))) 1)
(pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 2) 1/2)
(pow.f64 (*.f64 x (pow.f64 (sin.f64 y) 3)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))) 2)) (cbrt.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y))))) (sqrt.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 x)) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 x) (sin.f64 y)))))
(cbrt.f64 (*.f64 x (pow.f64 (sin.f64 y) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))))
(exp.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (sin.f64 y))) 1))
(exp.f64 (.f64 (log.f64 (.f64 x (pow.f64 (sin.f64 y) 3))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (cbrt.f64 x) (sin.f64 y)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (cbrt.f64 x) (sin.f64 y))) 1) 1))
(+.f64 (.f64 (cos.f64 y) z) (.f64 x (sin.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))
(+.f64 0 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))
(+.f64 (.f64 (.f64 x (sin.f64 y)) 1) (*.f64 (cos.f64 y) z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 1)
(.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)) 1)
(.f64 1 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))
(.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 2) (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(/.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 (.f64 (cos.f64 y) z) 3)) (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (-.f64 (pow.f64 (.f64 (cos.f64 y) z) 2) (.f64 (.f64 x (sin.f64 y)) (*.f64 (cos.f64 y) z)))))
(/.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (pow.f64 (.f64 (cos.f64 y) z) 2)) (-.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)))
(pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 1)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 3)
(pow.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))))) (sqrt.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))))
(sqrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 2))
(log.f64 (exp.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 y) z))) (pow.f64 (exp.f64 x) (sin.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 x) (sin.f64 y)) (+.f64 1 (expm1.f64 (.f64 (cos.f64 y) z)))))
(cbrt.f64 (pow.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(log1p.f64 (expm1.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(exp.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z)))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 1) 1))

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

eval331.0ms (4.1%)

Compiler: Compiled 17118 to 9188 computations (46.3% saved)

prune206.0ms (2.6%)

Pruning

34 alts after pruning (22 fresh and 12 done)

	Pruned	Kept	Total
New	782	4	786
Fresh	4	18	22
Picked	0	1	1
Done	0	11	11
Total	786	34	820

Error

0.0b

Counts

820 → 34

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (sin.f64 y) (cbrt.f64 x)) (.f64 (cos.f64 y) z))
	0.9b	(fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x))) (.f64 (sin.f64 y) (cbrt.f64 x)) (*.f64 (cos.f64 y) z))
	32.9b	(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
✓	45.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
	37.7b	(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) z)
	8.1b	(fma.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (sin.f64 y) (cbrt.f64 x)) (*.f64 (cos.f64 y) z))
✓	0.1b	(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
	21.1b	(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (sin.f64 y) (cbrt.f64 x)) (*.f64 (cos.f64 y) z))
	36.5b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
	28.5b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	32.7b	(/.f64 (-.f64 (.f64 (sin.f64 y) (.f64 (sin.f64 y) (.f64 x x))) (pow.f64 (.f64 (cos.f64 y) z) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
	41.2b	(/.f64 (-.f64 (.f64 z (.f64 z (.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
	37.1b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	33.4b	(+.f64 (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))) z)
	44.0b	(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
✓	32.7b	(+.f64 (*.f64 y x) z)
✓	33.4b	(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))) z)
	31.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	18.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 1/3) 2)) (cbrt.f64 (cos.f64 y))))
✓	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))
✓	0.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
	18.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	24.1b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
	24.1b	(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
✓	14.6b	(+.f64 (*.f64 x (sin.f64 y)) z)
	32.6b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	36.0b	(*.f64 (sin.f64 y) x)
	27.8b	(*.f64 (cos.f64 y) z)
	42.8b	(.f64 z (+.f64 1 (.f64 y (*.f64 y -1/2))))
	62.6b	(.f64 y (.f64 (*.f64 z y) -1/2))
✓	53.5b	(*.f64 y x)
✓	62.7b	(.f64 -1/2 (.f64 z (*.f64 y y)))
	41.0b	z

Compiler

Compiled 489 to 321 computations (34.4% saved)

regimes126.0ms (1.6%)

Counts

59 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 -1/2 (.f64 z (*.f64 y y)))
(.f64 y (.f64 (*.f64 z y) -1/2))
(.f64 z (+.f64 1 (.f64 y (*.f64 y -1/2))))
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))) z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (+.f64 (.f64 y x) (.f64 -1/6 (.f64 (pow.f64 y 3) x))) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (*.f64 1/120 (pow.f64 y 5)) y))) z)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
(+.f64 (.f64 y x) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
(+.f64 (.f64 x (+.f64 (.f64 -1/6 (pow.f64 y 3)) (+.f64 (.f64 1/120 (pow.f64 y 5)) y))) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
(cbrt.f64 (pow.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z)) 3))
(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 z (cos.f64 y)) 3)))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 3)
(pow.f64 (sqrt.f64 (+.f64 (.f64 x (sin.f64 y)) (.f64 (cos.f64 y) z))) 2)
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 (cos.f64 y) (cos.f64 y)))) (pow.f64 (.f64 y x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 y x)))
(fma.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) z)
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 z 3))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(fma.f64 (cbrt.f64 (.f64 x x)) (.f64 (sin.f64 y) (cbrt.f64 x)) (*.f64 (cos.f64 y) z))
(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (sin.f64 y) (cbrt.f64 x)) (.f64 (cos.f64 y) z))
(pow.f64 (cbrt.f64 (+.f64 (.f64 x (sin.f64 y)) (cbrt.f64 (pow.f64 (.f64 (cos.f64 y) z) 3)))) 3)
(fma.f64 (sqrt.f64 (.f64 x (cbrt.f64 x))) (.f64 (sin.f64 y) (cbrt.f64 x)) (*.f64 (cos.f64 y) z))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 1/3) 2)) (cbrt.f64 (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) 1/3) (cbrt.f64 (.f64 z (cos.f64 y)))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (-.f64 (+.f64 1 (cbrt.f64 (cos.f64 y))) 1)))
(/.f64 (-.f64 (.f64 (sin.f64 y) (.f64 (sin.f64 y) (.f64 x x))) (pow.f64 (.f64 (cos.f64 y) z) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(.f64 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) (pow.f64 z 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z (-.f64 z (*.f64 x (sin.f64 y)))))))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 y) 2)) (.f64 (cbrt.f64 (sin.f64 y)) x) (.f64 z (cos.f64 y)))
(fma.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (cbrt.f64 (pow.f64 (sin.f64 y) 3/2)) (.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (cos.f64 y) (sqrt.f64 z))) 3) (sqrt.f64 z) (.f64 x (sin.f64 y)))
(fma.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 5) (cbrt.f64 (cbrt.f64 x))) (.f64 (sin.f64 y) (cbrt.f64 x)) (*.f64 (cos.f64 y) z))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (.f64 (cos.f64 y) z)))) (pow.f64 (cbrt.f64 (fma.f64 x (sin.f64 y) (*.f64 (cos.f64 y) z))) 2)))

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

Calls

4 calls:

29.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
28.0ms	y
26.0ms	z
24.0ms	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 780 to 275 computations (64.7% saved)

regimes83.0ms (1%)

Counts

13 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 -1/2 (.f64 z (*.f64 y y)))
(.f64 y (.f64 (*.f64 z y) -1/2))
(.f64 z (+.f64 1 (.f64 y (*.f64 y -1/2))))
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (.f64 y x) (.f64 z (cos.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (*.f64 y x) z))
(+.f64 (+.f64 (.f64 y x) (.f64 -1/6 (*.f64 (pow.f64 y 3) x))) z)

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

Calls

3 calls:

32.0ms	y
28.0ms	z
20.0ms	x

Results

Error	Segments	Branch
7.1b	3	`x`
11.2b	4	`y`
9.3b	3	`z`

Compiler

Compiled 99 to 50 computations (49.5% saved)

bsearch81.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	6.593343277049631e-20	3.6802641982277486e-19
54.0ms	-9.462843674349195e-10	-1.4850696199887639e-21

Results

39.0ms	67×	body	1024	valid
23.0ms	145×	body	256	valid
14.0ms	41×	body	512	valid
2.0ms	3×	body	2048	valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

regimes63.0ms (0.8%)

Counts

9 → 5

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 -1/2 (.f64 z (*.f64 y y)))
(.f64 y (.f64 (*.f64 z y) -1/2))
(.f64 z (+.f64 1 (.f64 y (*.f64 y -1/2))))
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)

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

Calls

3 calls:

24.0ms	y
21.0ms	z
15.0ms	x

Results

Error	Segments	Branch
15.3b	3	`x`
12.7b	5	`y`
15.0b	3	`z`

Compiler

Compiled 59 to 33 computations (44.1% saved)

bsearch173.0ms (2.2%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
50.0ms	9.88931118265925e+211	1.1951916204972676e+214
28.0ms	5.356240797471812e-18	0.00036561045032935913
41.0ms	-3.69829633178181	-0.02405306344521114
54.0ms	-1.8191437391617813e+93	-1.7309761974353991e+90

Results

66.0ms	272×	body	256	valid
53.0ms	128×	body	512	valid
49.0ms	112×	body	1024	valid

Compiler

Compiled 547 to 397 computations (27.4% saved)

regimes96.0ms (1.2%)

Counts

7 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 -1/2 (.f64 z (*.f64 y y)))
(.f64 y (.f64 (*.f64 z y) -1/2))
(.f64 z (+.f64 1 (.f64 y (*.f64 y -1/2))))
(*.f64 (cos.f64 y) z)

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

Calls

3 calls:

43.0ms	z
37.0ms	x
14.0ms	y

Results

Error	Segments	Branch
22.1b	3	`x`
18.7b	3	`y`
22.5b	3	`z`

Compiler

Compiled 51 to 30 computations (41.2% saved)

bsearch59.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	0.00036561045032935913	5396.096267603743
21.0ms	-3.69829633178181	-0.02405306344521114

Results

56.0ms

256×

body

256

valid

Compiler

Compiled 290 to 205 computations (29.3% saved)

regimes16.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(.f64 -1/2 (.f64 z (*.f64 y y)))
(.f64 y (.f64 (*.f64 z y) -1/2))
(.f64 z (+.f64 1 (.f64 y (*.f64 y -1/2))))

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

Calls

3 calls:

4.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
32.7b	1	`x`
32.7b	1	`y`
32.7b	1	`z`

Compiler

Compiled 47 to 28 computations (40.4% saved)

regimes40.0ms (0.5%)

Accuracy

Total -25.9b remaining (-71%)

Threshold costs -25.9b (-71%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

Outputs
z
(*.f64 y x)
z

Calls

3 calls:

24.0ms	y
10.0ms	z
5.0ms	x

Results

Error	Segments	Branch
39.5b	2	`x`
39.2b	3	`y`
36.5b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch64.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
49.0ms	4.071378585666701e-173	1.2472600231630604e-166
15.0ms	-1.441652399097869e-82	-1.055227671773684e-82

Results

37.0ms	55×	body	1024	valid
16.0ms	107×	body	256	valid
8.0ms	30×	body	512	valid

Compiler

Compiled 162 to 121 computations (25.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	162
1	52	162

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -1595073594941899/664613997892457936451903530140172288) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 5981525981032121/83076749736557242056487941267521536) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -3999999999999999865936450861855600199300744370480502011918698389236719021749516922746044416) (.f64 (sin.f64 y) x) (if (<=.f64 y -1152921504606847/36028797018963968) (.f64 (cos.f64 y) z) (if (<=.f64 y 1152921504606847/4611686018427387904) (+.f64 (.f64 y x) z) (if (<=.f64 y 6999999999999999441909100212849678007332939899633920968133151335329477474566221285819114261240989462582744213319559656280936169642772876399679781234044611894819071494219092643009629151665136380069785354335739183104) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y -8070450532247929/288230376151711744) (.f64 (cos.f64 y) z) (if (<=.f64 y 8070450532247929/2305843009213693952) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 z -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) z (if (<=.f64 z 6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) (*.f64 y x) z))
z

Outputs
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -1595073594941899/664613997892457936451903530140172288) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 5981525981032121/83076749736557242056487941267521536) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x -1595073594941899/664613997892457936451903530140172288) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 5981525981032121/83076749736557242056487941267521536) (.f64 z (cos.f64 y)) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -3999999999999999865936450861855600199300744370480502011918698389236719021749516922746044416) (.f64 (sin.f64 y) x) (if (<=.f64 y -1152921504606847/36028797018963968) (.f64 (cos.f64 y) z) (if (<=.f64 y 1152921504606847/4611686018427387904) (+.f64 (.f64 y x) z) (if (<=.f64 y 6999999999999999441909100212849678007332939899633920968133151335329477474566221285819114261240989462582744213319559656280936169642772876399679781234044611894819071494219092643009629151665136380069785354335739183104) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z)))))
(if (<=.f64 y -3999999999999999865936450861855600199300744370480502011918698389236719021749516922746044416) (.f64 x (sin.f64 y)) (if (<=.f64 y -1152921504606847/36028797018963968) (.f64 z (cos.f64 y)) (if (<=.f64 y 1152921504606847/4611686018427387904) (+.f64 z (.f64 x y)) (if (<=.f64 y 6999999999999999441909100212849678007332939899633920968133151335329477474566221285819114261240989462582744213319559656280936169642772876399679781234044611894819071494219092643009629151665136380069785354335739183104) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))))
(if (<=.f64 y -8070450532247929/288230376151711744) (.f64 (cos.f64 y) z) (if (<=.f64 y 8070450532247929/2305843009213693952) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 y -8070450532247929/288230376151711744) (.f64 z (cos.f64 y)) (if (<=.f64 y 8070450532247929/2305843009213693952) (+.f64 z (.f64 x y)) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 z -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) z (if (<=.f64 z 6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) (*.f64 y x) z))
(if (<=.f64 z -7518674366441603/68351585149469122636640694597425667667286544715412888638305331450311031224980497600734786781970432) z (if (<=.f64 z 6639224910209589/66392249102095887336198525819058578416199139715878990399930517275050444982606530342395312783153660708611166185780812626918322417206588404926189997345823418992978908854424152378966016) (*.f64 x y) z))
z

Compiler

Compiled 131 to 74 computations (43.5% saved)

soundness0.0ms (0%)

end83.0ms (1%)

Compiler: Compiled 113 to 41 computations (63.7% saved)