Details

analyze311.0ms (3.9%)

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 (32.8%)

Results

1.2s	2080×	body	1024	valid
1.1s	5105×	body	256	valid
347.0ms	1068×	body	512	valid
2.0ms	3×	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)

simplify10.0ms (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

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize11.0ms (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 z (cos.f64 y))
✓	0.1b	(*.f64 x (sin.f64 y))

Compiler

Compiled 27 to 8 computations (70.4% saved)

series12.0ms (0.1%)

Counts

3 → 76

Calls

21 calls:

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

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

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

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

461×	`cancel-sign-sub-inv_binary64`
382×	`difference-of-squares_binary64`
290×	`fma-neg_binary64`
238×	`distribute-rgt-neg-in_binary64`
235×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	2659
1	858	2604
2	2765	2601

Stop Event

1×	node limit

Counts

213 → 194

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

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

rewrite43.0ms (0.5%)

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	12
1	156	12
2	1853	12

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify54.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-neg_binary64`
484×	`associate-l_binary64`
406×	`associate-r_binary64`
378×	`log-prod_binary64`
312×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	72	726
1	195	721
2	737	718
3	3816	692
4	7350	692

Stop Event

1×	node limit

Counts

57 → 44

Calls

Call 1

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

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

eval58.0ms (0.7%)

Compiler: Compiled 4538 to 1447 computations (68.1% saved)

prune73.0ms (0.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	266	20	286
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	267	21	288

Error

0.0b

Counts

288 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.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)))
	32.4b	(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 x (sin.f64 y)))
	17.8b	(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
	5.5b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	0.2b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
	29.9b	(fma.f64 y x z)
	30.9b	(/.f64 (-.f64 (.f64 x (.f64 (.f64 (sin.f64 y) (sin.f64 y)) x)) (pow.f64 (.f64 (cos.f64 y) z) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
	26.1b	(+.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 2) (.f64 z (cos.f64 y)))
	0.6b	(+.f64 (pow.f64 (cbrt.f64 (.f64 x (sin.f64 y))) 3) (.f64 z (cos.f64 y)))
▶	29.9b	(+.f64 (*.f64 y x) z)
▶	33.7b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
	0.9b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
✓	0.1b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	13.8b	(+.f64 (*.f64 x (sin.f64 y)) z)
	27.1b	(+.f64 (exp.f64 (log.f64 (.f64 x (sin.f64 y)))) (.f64 z (cos.f64 y)))
	17.9b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
	37.7b	(*.f64 (sin.f64 y) x)
	25.5b	(*.f64 (cos.f64 y) z)
	38.4b	z

Compiler

Compiled 560 to 367 computations (34.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (cos.f64 y) 2)
✓	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

Compiler

Compiled 47 to 18 computations (61.7% saved)

series10.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

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

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`pow1_binary64`
503×	`add-sqr-sqrt_binary64`
484×	`add-log-exp_binary64`
484×	`log1p-expm1-u_binary64`
484×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	19
1	137	19
2	1440	19

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

Outputs

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

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

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

870×	`fma-def_binary64`
552×	`unswap-sqr_binary64`
383×	`distribute-rgt-in_binary64`
381×	`exp-prod_binary64`
349×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	1007
1	319	897
2	1034	798
3	4091	793

Stop Event

1×	node limit

Counts

91 → 115

Calls

Call 1

Inputs
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)
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 (*.f64 -1 (pow.f64 y 2)) 1)
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (.f64 1/3 (pow.f64 y 4))))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 1 (+.f64 (.f64 -2/45 (pow.f64 y 6)) (*.f64 1/3 (pow.f64 y 4)))))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.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 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/3) (pow.f64 (cbrt.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))))
(pow.f64 (cos.f64 y) 2/3)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(log.f64 (exp.f64 (pow.f64 (cbrt.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 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(-.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 (cbrt.f64 (pow.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 (pow.f64 (cos.f64 y) 2) 1/6)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1/2)
(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))
(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 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) 1)
(*.f64 (cos.f64 y) (cos.f64 y))
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(*.f64 1 (pow.f64 (cos.f64 y) 2))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 (-.f64 y y))) 2)
(sqrt.f64 (pow.f64 (cos.f64 y) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 y) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 y) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))

Outputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/3 (.f64 y y)))
(fma.f64 -1/3 (*.f64 y y) 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 -1/405 (pow.f64 y 6))))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 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 -1/405 (pow.f64 y 6)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) 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))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/6))
(fma.f64 (*.f64 y y) -1/6 1)
(fma.f64 y (*.f64 y -1/6) 1)
(+.f64 (.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 (.f64 y y) -1/6)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1))
(fma.f64 y (*.f64 y -1/6) (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 (.f64 y y) -1/6))))
(fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 -1/72 (pow.f64 y 4) (fma.f64 (*.f64 y y) -1/6 1)))
(fma.f64 -1/72 (pow.f64 y 4) (fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 y (*.f64 y -1/6) 1)))
(fma.f64 y (*.f64 y -1/6) (fma.f64 (pow.f64 y 6) -23/6480 (fma.f64 -1/72 (pow.f64 y 4) 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 (*.f64 -1 (pow.f64 y 2)) 1)
(fma.f64 -1 (*.f64 y y) 1)
(-.f64 1 (*.f64 y y))
(neg.f64 (fma.f64 y y -1))
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(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
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(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
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(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(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 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
(+.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 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(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)
(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 (log.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)
(-.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 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/6))
(*.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))
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(cbrt.f64 (cos.f64 y))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1)
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(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 1/2 (.f64 1/2 (cos.f64 (.f64 2 y))))
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(fma.f64 1/2 (cos.f64 (+.f64 y y)) 1/2)
(-.f64 (+.f64 1 (pow.f64 (cos.f64 y) 2)) 1)
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(pow.f64 (cos.f64 y) 2)
(*.f64 (pow.f64 (cos.f64 y) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cos.f64 y) 2) 1))
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(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
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(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
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(/.f64 (+.f64 (cos.f64 (+.f64 y y)) (cos.f64 0)) 2)
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(sqrt.f64 (pow.f64 (cos.f64 y) 4))
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(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)
(exp.f64 (*.f64 2 (log.f64 (cos.f64 y))))
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(+.f64 (pow.f64 (cos.f64 y) 2) 0)
(pow.f64 (cos.f64 y) 2)

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)

series3.0ms (0%)

Counts

1 → 9

Calls

9 calls:

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

rewrite42.0ms (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)))))

simplify41.0ms (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)

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	@	-inf	(+.f64 (*.f64 x (sin.f64 y)) z)
0.0ms	y	@	inf	(+.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)

rewrite47.0ms (0.6%)

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)))))

simplify48.0ms (0.6%)

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
✓	0.0b	(sqrt.f64 (*.f64 z (cos.f64 y)))
	0.1b	(*.f64 z (cos.f64 y))
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 2)

Compiler

Compiled 43 to 14 computations (67.4% saved)

series11.0ms (0.1%)

Counts

2 → 16

Calls

12 calls:

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

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

722×	`distribute-rgt-in_binary64`
682×	`distribute-lft-in_binary64`
441×	`unswap-sqr_binary64`
408×	`fma-def_binary64`
275×	`log-prod_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	789
1	348	700
2	1118	597
3	4156	590

Stop Event

1×	node limit

Counts

66 → 83

Calls

Call 1

Inputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/16 z) (.f64 1/24 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/16 z) (.f64 1/24 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) 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))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (.f64 -1/4 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))))
(-.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 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(.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))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.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 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(.f64 (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1)
(.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (cos.f64 y))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))
(pow.f64 (*.f64 z (cos.f64 y)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))

Outputs
z
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) z)
(fma.f64 -1/2 (.f64 z (.f64 y y)) z)
(.f64 z (fma.f64 -1/2 (.f64 y y) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/16 z) (.f64 1/24 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) z))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (.f64 z 1/16)) z))
(fma.f64 z (.f64 -1/2 (.f64 y y)) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/720 (.f64 (pow.f64 y 6) z)) (+.f64 (.f64 (pow.f64 y 4) (-.f64 (+.f64 (.f64 1/16 z) (.f64 1/24 z)) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))) z)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 z)) 2)) z)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/720 (.f64 z (pow.f64 y 6)) (fma.f64 (pow.f64 y 4) (-.f64 (.f64 z 5/48) (*.f64 z 1/16)) z)))
(fma.f64 z (fma.f64 -1/2 (.f64 y y) (.f64 -1/720 (pow.f64 y 6))) (fma.f64 (pow.f64 y 4) (*.f64 z 1/24) 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))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))
(+.f64 (sqrt.f64 z) (.f64 -1/4 (.f64 (*.f64 y y) (sqrt.f64 z))))
(fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 z))) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (fma.f64 (.f64 y y) -1/4 1))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (*.f64 (pow.f64 y 2) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 z) (fma.f64 1/2 (.f64 (-.f64 (.f64 z 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (.f64 (*.f64 y y) (sqrt.f64 z)))))
(+.f64 (sqrt.f64 z) (fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 z))) (.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 z 1/24) (*.f64 z 1/16)) (sqrt.f64 (/.f64 1 z)))))))
(fma.f64 1/2 (.f64 (.f64 z -1/48) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)))
(fma.f64 (.f64 z -1/48) (.f64 1/2 (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)))
(+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 6) (-.f64 (.f64 -1/720 z) (.f64 -1/4 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2))))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/24 z) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (pow.f64 y 4)) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (.f64 (pow.f64 y 2) (sqrt.f64 z))))))
(fma.f64 1/2 (.f64 (pow.f64 y 6) (.f64 (+.f64 (.f64 z -1/720) (.f64 1/4 (-.f64 (.f64 z 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)))) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (fma.f64 1/2 (.f64 (-.f64 (.f64 z 1/24) (pow.f64 (.f64 -1/4 (sqrt.f64 z)) 2)) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/4 (.f64 (*.f64 y y) (sqrt.f64 z))))))
(fma.f64 (.f64 (.f64 1/2 (pow.f64 y 6)) (fma.f64 z -1/720 (.f64 (-.f64 (.f64 z 1/24) (.f64 z 1/16)) 1/4))) (sqrt.f64 (/.f64 1 z)) (+.f64 (sqrt.f64 z) (fma.f64 -1/4 (.f64 y (.f64 y (sqrt.f64 z))) (.f64 1/2 (.f64 (pow.f64 y 4) (.f64 (-.f64 (.f64 z 1/24) (.f64 z 1/16)) (sqrt.f64 (/.f64 1 z))))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (pow.f64 y 6) (fma.f64 z -1/720 (.f64 (.f64 z -1/48) 1/4)))) (fma.f64 1/2 (.f64 (.f64 z -1/48) (.f64 (pow.f64 y 4) (sqrt.f64 (/.f64 1 z)))) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1))))
(+.f64 (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 z))) (+.f64 (.f64 (pow.f64 y 6) (fma.f64 z -1/720 (.f64 -1/4 (.f64 z 1/48)))) (.f64 (pow.f64 y 4) (.f64 z -1/48)))) (.f64 (sqrt.f64 z) (fma.f64 (*.f64 y y) -1/4 1)))
(-.f64 (+.f64 1 (*.f64 z (cos.f64 y))) 1)
(*.f64 z (cos.f64 y))
(*.f64 z (cos.f64 y))
(*.f64 (cos.f64 y) z)
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (cos.f64 y)) 1)
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 1 (.f64 z (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 2))
(*.f64 z (cos.f64 y))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 1/4)) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(*.f64 z (cos.f64 y))
(.f64 (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 z)) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z (cos.f64 y)))))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 2))
(*.f64 z (cos.f64 y))
(log.f64 (pow.f64 (exp.f64 z) (cos.f64 y)))
(*.f64 z (cos.f64 y))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3))
(*.f64 z (cos.f64 y))
(expm1.f64 (log1p.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(log1p.f64 (expm1.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(exp.f64 (log.f64 (*.f64 z (cos.f64 y))))
(*.f64 z (cos.f64 y))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 1 (sqrt.f64 (.f64 z (cos.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 z (cos.f64 y)))) (cbrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) (pow.f64 (*.f64 z (cos.f64 y)) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(*.f64 (sqrt.f64 (cos.f64 y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (cos.f64 y)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 z (cos.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 z (cos.f64 y))) 1/2))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (*.f64 z (cos.f64 y)) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2) 1/3)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(pow.f64 (pow.f64 (*.f64 z (cos.f64 y)) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(fabs.f64 (sqrt.f64 (*.f64 z (cos.f64 y))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(cbrt.f64 (pow.f64 (*.f64 z (cos.f64 y)) 3/2))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 z (cos.f64 y)))))
(+.f64 (+.f64 1 (sqrt.f64 (*.f64 z (cos.f64 y)))) -1)
(+.f64 (sqrt.f64 (*.f64 z (cos.f64 y))) 0)
(sqrt.f64 (*.f64 z (cos.f64 y)))

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 9 computations (72.7% saved)

series9.0ms (0.1%)

Counts

2 → 29

Calls

15 calls:

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

rewrite49.0ms (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
(*.f64 (sin.f64 y) (sqrt.f64 x))
(fma.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 z (cos.f64 y)))

Outputs

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

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

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

648×	`distribute-rgt-in_binary64`
619×	`distribute-lft-in_binary64`
449×	`fma-def_binary64`
343×	`times-frac_binary64`
318×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	879
1	329	832
2	1189	784
3	3903	759

Stop Event

1×	node limit

Counts

63 → 79

Calls

Call 1

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

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

eval412.0ms (5.2%)

Compiler: Compiled 10942 to 4303 computations (60.7% saved)

prune146.0ms (1.8%)

Pruning

27 alts after pruning (23 fresh and 4 done)

	Pruned	Kept	Total
New	595	16	611
Fresh	8	7	15
Picked	1	0	1
Done	1	4	5
Total	605	27	632

Error

0.0b

Counts

632 → 27

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3) (.f64 (cbrt.f64 (cos.f64 y)) 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)))
▶	39.5b	(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
	5.5b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
	24.2b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
	29.9b	(fma.f64 y x z)
	1.3b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
	32.5b	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
	33.0b	(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
	14.2b	(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
	45.6b	(+.f64 (.f64 y x) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
✓	29.9b	(+.f64 (*.f64 y x) z)
	33.8b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) 2) 2))
✓	33.7b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
▶	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	32.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	17.8b	(+.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)))
✓	13.8b	(+.f64 (*.f64 x (sin.f64 y)) z)
	33.9b	(+.f64 (exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) z)
	17.9b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
▶	30.0b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	34.4b	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))
	37.7b	(*.f64 (sin.f64 y) x)
	25.5b	(*.f64 (cos.f64 y) z)
▶	53.2b	(*.f64 y x)
	38.4b	z

Compiler

Compiled 692 to 463 computations (33.1% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
✓	0.2b	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.4b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)

Compiler

Compiled 60 to 22 computations (63.3% saved)

series49.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	y	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
14.0ms	y	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
3.0ms	y	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
0.0ms	y	@	0	(cbrt.f64 (cbrt.f64 (cos.f64 y)))
0.0ms	y	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)

rewrite54.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`pow1_binary64`
626×	`add-log-exp_binary64`
625×	`log1p-expm1-u_binary64`
625×	`expm1-log1p-u_binary64`
608×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	188	25
2	1888	25

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)

Outputs

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

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

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

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

781×	`fma-def_binary64`
632×	`log-prod_binary64`
526×	`fma-neg_binary64`
364×	`exp-prod_binary64`
339×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1384
1	336	1189
2	1137	1018
3	3212	1010
4	7502	1010

Stop Event

1×	node limit

Counts

96 → 116

Calls

Call 1

Inputs
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)))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
1
(+.f64 1 (*.f64 -1/18 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -5/648 (pow.f64 y 4)) (.f64 -1/18 (pow.f64 y 2))))
(+.f64 1 (+.f64 (.f64 -347/174960 (pow.f64 y 6)) (+.f64 (.f64 -5/648 (pow.f64 y 4)) (*.f64 -1/18 (pow.f64 y 2)))))
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cos.f64 y) 1/9)
1
(+.f64 1 (*.f64 -1/9 (pow.f64 y 2)))
(+.f64 1 (+.f64 (.f64 -1/9 (pow.f64 y 2)) (.f64 -1/81 (pow.f64 y 4))))
(+.f64 1 (+.f64 (.f64 -1/9 (pow.f64 y 2)) (+.f64 (.f64 -1/81 (pow.f64 y 4)) (*.f64 -34/10935 (pow.f64 y 6)))))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))
(*.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))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(*.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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) 6))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))) (pow.f64 (cbrt.f64 (cbrt.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))))
(sqrt.f64 (*.f64 (cos.f64 y) (cbrt.f64 (cos.f64 y))))
(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 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
(-.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1)
(*.f64 1 (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 1/6) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 1/6) 1/3))
(pow.f64 (cos.f64 y) 1/9)
(pow.f64 (cbrt.f64 (cos.f64 y)) 1/3)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) 1)
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))))))

Outputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/3 (.f64 y y)))
(fma.f64 -1/3 (*.f64 y y) 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 -1/405 (pow.f64 y 6))))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 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 -1/405 (pow.f64 y 6)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) 1)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1
(+.f64 1 (*.f64 -1/18 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/18))
(fma.f64 (*.f64 y y) -1/18 1)
(fma.f64 y (*.f64 y -1/18) 1)
(+.f64 1 (+.f64 (.f64 -5/648 (pow.f64 y 4)) (.f64 -1/18 (pow.f64 y 2))))
(+.f64 1 (fma.f64 -5/648 (pow.f64 y 4) (.f64 (.f64 y y) -1/18)))
(+.f64 1 (fma.f64 (.f64 y y) -1/18 (.f64 -5/648 (pow.f64 y 4))))
(fma.f64 y (*.f64 y -1/18) (fma.f64 -5/648 (pow.f64 y 4) 1))
(+.f64 1 (+.f64 (.f64 -347/174960 (pow.f64 y 6)) (+.f64 (.f64 -5/648 (pow.f64 y 4)) (*.f64 -1/18 (pow.f64 y 2)))))
(+.f64 1 (fma.f64 -347/174960 (pow.f64 y 6) (fma.f64 -5/648 (pow.f64 y 4) (.f64 (.f64 y y) -1/18))))
(+.f64 1 (fma.f64 (pow.f64 y 6) -347/174960 (fma.f64 (.f64 y y) -1/18 (.f64 -5/648 (pow.f64 y 4)))))
(fma.f64 (pow.f64 y 6) -347/174960 (fma.f64 y (*.f64 y -1/18) (fma.f64 -5/648 (pow.f64 y 4) 1)))
(fma.f64 y (*.f64 y -1/18) (fma.f64 -5/648 (pow.f64 y 4) (fma.f64 (pow.f64 y 6) -347/174960 1)))
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
1
(+.f64 1 (*.f64 -1/9 (pow.f64 y 2)))
(+.f64 1 (.f64 (.f64 y y) -1/9))
(fma.f64 (*.f64 y y) -1/9 1)
(fma.f64 y (*.f64 y -1/9) 1)
(+.f64 1 (+.f64 (.f64 -1/9 (pow.f64 y 2)) (.f64 -1/81 (pow.f64 y 4))))
(+.f64 1 (fma.f64 -1/9 (.f64 y y) (.f64 (pow.f64 y 4) -1/81)))
(+.f64 1 (fma.f64 (pow.f64 y 4) -1/81 (.f64 (.f64 y y) -1/9)))
(fma.f64 y (*.f64 y -1/9) (fma.f64 (pow.f64 y 4) -1/81 1))
(+.f64 1 (+.f64 (.f64 -1/9 (pow.f64 y 2)) (+.f64 (.f64 -1/81 (pow.f64 y 4)) (*.f64 -34/10935 (pow.f64 y 6)))))
(+.f64 1 (fma.f64 -1/9 (.f64 y y) (fma.f64 -1/81 (pow.f64 y 4) (.f64 (pow.f64 y 6) -34/10935))))
(+.f64 1 (fma.f64 (.f64 y y) -1/9 (fma.f64 (pow.f64 y 4) -1/81 (.f64 (pow.f64 y 6) -34/10935))))
(+.f64 (fma.f64 y (.f64 y -1/9) 1) (fma.f64 (pow.f64 y 6) -34/10935 (.f64 (pow.f64 y 4) -1/81)))
(fma.f64 y (*.f64 y -1/9) (fma.f64 (pow.f64 y 6) -34/10935 (fma.f64 (pow.f64 y 4) -1/81 1)))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(pow.f64 (pow.f64 (cos.f64 y) 2) 1/9)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/18))
(-.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 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.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) (pow.f64 (cbrt.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 (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))) 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 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) (pow.f64 (cbrt.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 (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 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 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) 6) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 6))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) 6) (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) 6))
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(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
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(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1))
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(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4) 1) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2))
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(.f64 (.f64 (cbrt.f64 (cos.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
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(sqrt.f64 (*.f64 (cos.f64 y) (cbrt.f64 (cos.f64 y))))
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(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
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(pow.f64 (cbrt.f64 (cos.f64 y)) 2)
(exp.f64 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))
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(-.f64 (+.f64 1 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 1)
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(cbrt.f64 (cbrt.f64 (cos.f64 y)))
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(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2))
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(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
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(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 1/6) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 1/6) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 1/6)) (cbrt.f64 (pow.f64 (cos.f64 y) 1/6)))
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 1/6) 1/6) 4)
(pow.f64 (cos.f64 y) 1/9)
(*.f64 (pow.f64 (cos.f64 y) 1/18) (pow.f64 (cos.f64 y) 1/18))
(pow.f64 (cbrt.f64 (cos.f64 y)) 1/3)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1/2)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 3)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) 2)
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(exp.f64 (log.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 1))
(+.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 0)
(cbrt.f64 (cbrt.f64 (cos.f64 y)))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1)
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
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(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
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(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) (.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6) (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(*.f64 (pow.f64 (cos.f64 y) 1/6) (pow.f64 (cbrt.f64 (cos.f64 y)) 1/6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 4))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))))))
(+.f64 1 (-.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 1))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 0)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2)

localize3.0ms (0%)

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	0.1b	(*.f64 x (sin.f64 y))
✓	0.2b	(pow.f64 (*.f64 x (sin.f64 y)) 3)
✓	34.5b	(cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series11.0ms (0.1%)

Counts

3 → 84

Calls

21 calls:

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

rewrite53.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`pow1_binary64`
908×	`add-log-exp_binary64`
908×	`log1p-expm1-u_binary64`
908×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	217	22
2	2536	22

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Outputs

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

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

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

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

639×	`times-frac_binary64`
544×	`distribute-rgt-in_binary64`
257×	`cancel-sign-sub-inv_binary64`
247×	`fma-neg_binary64`
228×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	1975
1	641	1912
2	2521	1878

Stop Event

1×	node limit

Counts

176 → 148

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.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 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) x) (.f64 -1/5040 (pow.f64 x 3)))))))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
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 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x))) z)
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x))) z)
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x))) z)
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 (exp.f64 (log1p.f64 (*.f64 x (sin.f64 y)))) 1)
(*.f64 x (sin.f64 y))
(*.f64 (sin.f64 y) x)
(.f64 (.f64 x (sin.f64 y)) 1)
(.f64 1 (.f64 x (sin.f64 y)))
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (sin.f64 y)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)))
(.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x))
(.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1/3) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (pow.f64 1 1/3) (.f64 x (sin.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3/2) 1/3))
(.f64 (.f64 x (pow.f64 (cbrt.f64 (sin.f64 y)) 2)) (cbrt.f64 (sin.f64 y)))
(.f64 (.f64 x (sqrt.f64 (sin.f64 y))) (sqrt.f64 (sin.f64 y)))
(.f64 (.f64 (sin.f64 y) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 x (sin.f64 y)) 1)
(pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3)
(pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sin.f64 y)))))
(expm1.f64 (log1p.f64 (*.f64 x (sin.f64 y))))
(log1p.f64 (expm1.f64 (*.f64 x (sin.f64 y))))
(exp.f64 (log.f64 (*.f64 x (sin.f64 y))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))) 1)
(.f64 x (.f64 (sin.f64 y) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (sin.f64 y) (.f64 x (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (.f64 x (sin.f64 y)) (pow.f64 (*.f64 x (sin.f64 y)) 2))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3) 1)
(.f64 1 (pow.f64 (.f64 x (sin.f64 y)) 3))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (*.f64 x (sin.f64 y)))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (pow.f64 (*.f64 x (sin.f64 y)) 2)))
(*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 y) 3))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(.f64 (pow.f64 (.f64 x (sin.f64 y)) 3/2) (pow.f64 (*.f64 x (sin.f64 y)) 3/2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) 3) (*.f64 x (sin.f64 y)))
(.f64 (pow.f64 (sqrt.f64 (.f64 x (sin.f64 y))) 3) (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 3))
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) x) (sin.f64 y))
(.f64 (.f64 (pow.f64 (*.f64 x (sin.f64 y)) 2) (sin.f64 y)) x)
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) 1) (.f64 x (sin.f64 y)))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2))) (cbrt.f64 (*.f64 x (sin.f64 y))))
(.f64 (.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (sqrt.f64 (.f64 x (sin.f64 y)))) (sqrt.f64 (*.f64 x (sin.f64 y))))
(sqrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 x (sin.f64 y)))))
(-.f64 (exp.f64 (log1p.f64 (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)))
(log.f64 (+.f64 1 (expm1.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 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (cbrt.f64 (.f64 x (sin.f64 y))) z)
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (cbrt.f64 z) (*.f64 x (sin.f64 y)))
(fma.f64 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.f64 (.f64 x (sin.f64 y))) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 x (sin.f64 y)))

Outputs
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(neg.f64 (.f64 (sin.f64 y) (.f64 x (cbrt.f64 -1))))
(.f64 (sin.f64 y) (neg.f64 (.f64 x (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(neg.f64 (.f64 (sin.f64 y) (.f64 x (cbrt.f64 -1))))
(.f64 (sin.f64 y) (neg.f64 (.f64 x (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(neg.f64 (.f64 (sin.f64 y) (.f64 x (cbrt.f64 -1))))
(.f64 (sin.f64 y) (neg.f64 (.f64 x (cbrt.f64 -1))))
(.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(neg.f64 (.f64 (sin.f64 y) (.f64 x (cbrt.f64 -1))))
(.f64 (sin.f64 y) (neg.f64 (.f64 x (cbrt.f64 -1))))
(*.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 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 y 3) (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (.f64 (pow.f64 y 3) (pow.f64 x 3)))
(fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (pow.f64 x 3) (.f64 -1/2 (pow.f64 y 5))))
(.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (.f64 -1/2 (pow.f64 y 5))))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (.f64 (pow.f64 y 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 x x) 2/45) x (.f64 (pow.f64 x 3) 23/360)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (*.f64 (pow.f64 y 3) (pow.f64 x 3))))
(fma.f64 (pow.f64 y 7) (fma.f64 (pow.f64 x 3) 23/360 (.f64 (pow.f64 x 3) 2/45)) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (pow.f64 x 3) (*.f64 -1/2 (pow.f64 y 5)))))
(fma.f64 (pow.f64 y 7) (.f64 (pow.f64 x 3) 13/120) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (*.f64 -1/2 (pow.f64 y 5)))))
(+.f64 (.f64 (pow.f64 y 7) (+.f64 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x) (+.f64 (.f64 1/18 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 3))))) (+.f64 (.f64 (pow.f64 y 5) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/3 (pow.f64 x 3)))) (+.f64 (.f64 (pow.f64 y 3) (pow.f64 x 3)) (.f64 (pow.f64 y 9) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 1/36 (pow.f64 x 2)) (.f64 1/60 (pow.f64 x 2))) x)) (+.f64 (.f64 -1/360 (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1/2520 (pow.f64 x 2)) (.f64 -1/360 (pow.f64 x 2))) x) (.f64 -1/5040 (pow.f64 x 3)))))))))
(fma.f64 (pow.f64 y 7) (fma.f64 (.f64 (.f64 x x) 2/45) x (.f64 (pow.f64 x 3) 23/360)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 x (.f64 (.f64 x x) 2/45)) (fma.f64 -1/360 (pow.f64 x 3) (fma.f64 (.f64 (.f64 x x) -1/315) x (*.f64 -1/5040 (pow.f64 x 3)))))))))
(fma.f64 (pow.f64 y 7) (fma.f64 (pow.f64 x 3) 23/360 (.f64 (pow.f64 x 3) 2/45)) (fma.f64 (pow.f64 y 5) (.f64 (pow.f64 x 3) -1/2) (fma.f64 (pow.f64 y 3) (pow.f64 x 3) (.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 x 3) 2/45) (fma.f64 (pow.f64 x 3) -1/360 (fma.f64 -1/5040 (pow.f64 x 3) (*.f64 (pow.f64 x 3) -1/315))))))))
(+.f64 (fma.f64 (pow.f64 y 7) (.f64 (pow.f64 x 3) 13/120) (.f64 (pow.f64 x 3) (+.f64 (pow.f64 y 3) (.f64 -1/2 (pow.f64 y 5))))) (.f64 (pow.f64 y 9) (fma.f64 -1/6 (.f64 (pow.f64 x 3) 2/45) (fma.f64 (pow.f64 x 3) -1/360 (.f64 (pow.f64 x 3) -17/5040)))))
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 3)
(*.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))
(pow.f64 (*.f64 (sin.f64 y) x) 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 (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 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x)))
(neg.f64 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x))
(neg.f64 (.f64 (sin.f64 y) (.f64 x (cbrt.f64 -1))))
(.f64 (sin.f64 y) (neg.f64 (.f64 x (cbrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x))) z)
(fma.f64 -1 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x) z)
(-.f64 z (.f64 (sin.f64 y) (.f64 x (cbrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x))) z)
(fma.f64 -1 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x) z)
(-.f64 z (.f64 (sin.f64 y) (.f64 x (cbrt.f64 -1))))
(+.f64 (.f64 -1 (.f64 (cbrt.f64 -1) (*.f64 (sin.f64 y) x))) z)
(fma.f64 -1 (.f64 (.f64 (cbrt.f64 -1) (sin.f64 y)) x) z)
(-.f64 z (.f64 (sin.f64 y) (.f64 x (cbrt.f64 -1))))
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))
(+.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)))))
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(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)))
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(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 2)) (cbrt.f64 (.f64 x (sin.f64 y))) z)
(fma.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 2)) (cbrt.f64 (.f64 (sin.f64 y) x)) z)
(fma.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 2)) 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 (sqrt.f64 (.f64 x (sin.f64 y))) (sqrt.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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 7 computations (70.8% saved)

series3.0ms (0%)

Counts

1 → 25

Calls

9 calls:

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

rewrite43.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
677×	`add-log-exp_binary64`
677×	`log1p-expm1-u_binary64`
677×	`expm1-log1p-u_binary64`
659×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	157	9
2	1854	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

554×	`fma-neg_binary64`
443×	`times-frac_binary64`
428×	`associate-l_binary64`
408×	`log-prod_binary64`
366×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	361
1	191	357
2	690	349
3	3509	349
4	7072	349

Stop Event

1×	node limit

Counts

46 → 40

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 18 computations (64.7% saved)

series13.0ms (0.2%)

Counts

4 → 36

Calls

18 calls:

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

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
708×	`add-log-exp_binary64`
708×	`log1p-expm1-u_binary64`
708×	`expm1-log1p-u_binary64`
691×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	181	23
2	2013	23

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

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

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

906×	`log-prod_binary64`
691×	`fma-def_binary64`
656×	`fma-neg_binary64`
411×	`*-commutative_binary64`
277×	`log-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	808
1	369	763
2	1513	711
3	4332	700
4	7103	700

Stop Event

1×	node limit

Counts

99 → 102

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

eval239.0ms (3%)

Compiler: Compiled 10950 to 4820 computations (56% saved)

prune180.0ms (2.3%)

Pruning

29 alts after pruning (22 fresh and 7 done)

	Pruned	Kept	Total
New	580	6	586
Fresh	2	16	18
Picked	0	1	1
Done	2	6	8
Total	584	29	613

Error

0.0b

Counts

613 → 29

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(fma.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/9) 3) (.f64 (cbrt.f64 (cos.f64 y)) 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)))
	5.5b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
▶	24.2b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
	29.9b	(fma.f64 y x z)
▶	39.1b	(pow.f64 (sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x))) 2)
▶	1.3b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
	14.7b	(pow.f64 (cbrt.f64 (+.f64 z (*.f64 (sin.f64 y) x))) 3)
	32.5b	(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
	14.3b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x)) z)
	39.5b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
	36.1b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))) z)
	45.6b	(+.f64 (.f64 y x) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
✓	29.9b	(+.f64 (*.f64 y x) z)
	33.8b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) 2) 2))
✓	33.7b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
✓	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	32.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	17.8b	(+.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)))
✓	13.8b	(+.f64 (*.f64 x (sin.f64 y)) z)
	33.9b	(+.f64 (exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) z)
	17.9b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
✓	30.0b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	34.4b	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))
	37.7b	(*.f64 (sin.f64 y) x)
▶	25.5b	(*.f64 (cos.f64 y) z)
✓	53.2b	(*.f64 y x)
	38.4b	z

Compiler

Compiled 730 to 488 computations (33.2% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (sin.f64 y))
	0.2b	(pow.f64 (cos.f64 y) 2)
	0.3b	(cbrt.f64 (cos.f64 y))
✓	0.4b	(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/9) 3)

Compiler

Compiled 61 to 30 computations (50.8% saved)

series42.0ms (0.5%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
29.0ms	y	@	inf	(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/9) 3)
12.0ms	y	@	-inf	(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/9) 3)
1.0ms	y	@	0	(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/9) 3)

rewrite45.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`pow1_binary64`
668×	`add-log-exp_binary64`
667×	`log1p-expm1-u_binary64`
667×	`expm1-log1p-u_binary64`
649×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	202	8
2	2053	8

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/9) 3)

Outputs

((#(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 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))))) (#(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 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))))) (#(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 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) 3) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 1) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))) (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.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 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))))))

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

528×	`unswap-sqr_binary64`
491×	`fma-def_binary64`
363×	`exp-sum_binary64`
360×	`fma-neg_binary64`
337×	`log-prod_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	536
1	163	459
2	472	425
3	1433	425
4	2784	413
5	6109	413

Stop Event

1×	node limit

Counts

33 → 45

Calls

Call 1

Inputs
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)))))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(-.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) 1)
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))
(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (cos.f64 y)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) 3) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 1) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))) (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(sqrt.f64 (cbrt.f64 (pow.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 (log.f64 (pow.f64 (cbrt.f64 (cos.f64 y)) 2)))

Outputs
1
(+.f64 1 (*.f64 -1/3 (pow.f64 y 2)))
(+.f64 1 (.f64 -1/3 (.f64 y y)))
(fma.f64 -1/3 (*.f64 y y) 1)
(fma.f64 y (*.f64 -1/3 y) 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 -1/405 (pow.f64 y 6))))
(+.f64 (fma.f64 -1/3 (.f64 y y) 1) (.f64 -1/405 (pow.f64 y 6)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 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 -1/405 (pow.f64 y 6)))))
(fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) 1)))
(fma.f64 -1/3 (*.f64 y y) (fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) 1)))
(fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 y (*.f64 -1/3 y) 1)))
(fma.f64 -1/405 (pow.f64 y 6) (fma.f64 -1/1701 (pow.f64 y 8) (fma.f64 -1/3 (*.f64 y y) 1)))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(*.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
(cbrt.f64 (pow.f64 (cos.f64 y) 2))
(-.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 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.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 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.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 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (.f64 (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) 4))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(*.f64 (pow.f64 1 1/3) (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 (pow.f64 (cos.f64 y) 4)) 1/3) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) 3) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 3))
(+.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 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) 1) (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))
(*.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18) (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))))) (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)))
(.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cos.f64 y) 4) 1/18)) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))) 4))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (cbrt.f64 (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cbrt.f64 (cos.f64 y))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) (cbrt.f64 (cbrt.f64 (cos.f64 y)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2))
(sqrt.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 4)))
(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))
(*.f64 1 (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 (log.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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite55.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`pow1_binary64`
440×	`add-sqr-sqrt_binary64`
435×	`*-un-lft-identity_binary64`
422×	`add-log-exp_binary64`
422×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	97	6
2	1146	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify38.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

616×	`fma-def_binary64`
517×	`log-prod_binary64`
378×	`distribute-rgt-out_binary64`
332×	`*-commutative_binary64`
325×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	182
1	128	178
2	413	174
3	2075	171
4	5781	171

Stop Event

1×	node limit

Counts

23 → 27

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 z (*.f64 (sin.f64 y) x))
✓	0.0b	(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
✓	0.1b	(*.f64 (sin.f64 y) x)
✓	0.2b	(pow.f64 (sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x))) 2)

Compiler

Compiled 35 to 10 computations (71.4% saved)

series39.0ms (0.5%)

Counts

4 → 46

Calls

33 calls:

Time	Variable		Point	Expression
21.0ms	y	@	-inf	(sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x)))
2.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x))) 2)
2.0ms	z	@	0	(pow.f64 (sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x))) 2)
2.0ms	x	@	inf	(pow.f64 (sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x))) 2)
1.0ms	z	@	inf	(pow.f64 (sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x))) 2)

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`pow1_binary64`
885×	`add-log-exp_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	212	29
2	2436	29

Stop Event

1×	node limit

Counts

4 → 116

Calls

Call 1

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

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

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

509×	`distribute-rgt-in_binary64`
479×	`distribute-lft-in_binary64`
429×	`times-frac_binary64`
257×	`cancel-sign-sub-inv_binary64`
247×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	2538
1	746	2419
2	2879	2371

Stop Event

1×	node limit

Counts

162 → 165

Calls

Call 1

Inputs
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) 2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (pow.f64 z 4)) (+.f64 z (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 (+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) 2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (pow.f64 z 4)) (+.f64 z (*.f64 (sin.f64 y) x)))
z
(+.f64 (*.f64 y x) z)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/4 (/.f64 (pow.f64 x 2) z)))) z))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/4 (/.f64 (pow.f64 x 2) z)))) (+.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))
z
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 z (+.f64 (.f64 (sin.f64 y) x) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z)) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 2))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 2)))) (pow.f64 x 3)) (+.f64 z (+.f64 (.f64 (sin.f64 y) x) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z)) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 x 2)))))
(*.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)))))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (*.f64 (sin.f64 y) x)))))))
(+.f64 (.f64 1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))))))
(sqrt.f64 z)
(+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 x) (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/8 (.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))))))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (sin.f64 y) x))))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (sin.f64 y) x)))))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 5))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (sin.f64 y) x))))))
(*.f64 (sin.f64 y) x)
z
z
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)))))
z
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(+.f64 (*.f64 (sin.f64 y) x) z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x z))) 1)
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (-.f64 z (.f64 (sin.f64 y) x))))
(*.f64 (fma.f64 (sin.f64 y) x z) 1)
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (sqrt.f64 (fma.f64 (sin.f64 y) x z)))
(*.f64 1 (fma.f64 (sin.f64 y) x z))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 2))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))) (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) x z)))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4) (.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4) (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 1 (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z)))))
(.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2)) (/.f64 1 (-.f64 z (.f64 (sin.f64 y) x))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4)) (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4))
(.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (cbrt.f64 (fma.f64 (sin.f64 y) x z))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(/.f64 1 (/.f64 (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) z))) (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3))))
(/.f64 1 (/.f64 (-.f64 z (.f64 (sin.f64 y) x)) (-.f64 (.f64 z z) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (-.f64 (.f64 z z) (.f64 z (*.f64 (sin.f64 y) x)))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (neg.f64 (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) z)))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2))) (neg.f64 (-.f64 z (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) z))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) x z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) x z))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) x z)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) x z)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x z)))
(fma.f64 (sin.f64 y) x z)
(fma.f64 x (sin.f64 y) z)
(fma.f64 1 z (*.f64 (sin.f64 y) x))
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z) (.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (cbrt.f64 (.f64 (sin.f64 y) x)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 y) x))) 1)
(pow.f64 (*.f64 (sin.f64 y) x) 1)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(pow.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2))
(log.f64 (pow.f64 (exp.f64 x) (sin.f64 y)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 y) x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 y) x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 y) x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)))) 1)
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 (sin.f64 y) x z)))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))) (cbrt.f64 (fma.f64 (sin.f64 y) x z)))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(*.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4) (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (fma.f64 (sin.f64 y) x z)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 1/2))
(/.f64 (sqrt.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2))) (sqrt.f64 (-.f64 z (*.f64 (sin.f64 y) x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (sqrt.f64 (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) z)))))
(pow.f64 (fma.f64 (sin.f64 y) x z) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) 1)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3/2) 1/3)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4) 2)
(fabs.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3/2))
(hypot.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(hypot.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) (sqrt.f64 z))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x z))) 1)
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (-.f64 z (.f64 (sin.f64 y) x))))
(*.f64 (fma.f64 (sin.f64 y) x z) 1)
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (sqrt.f64 (fma.f64 (sin.f64 y) x z)))
(*.f64 1 (fma.f64 (sin.f64 y) x z))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 2))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))) (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) x z)))
(.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4) (.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4) (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 1 (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z)))))
(.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2)) (/.f64 1 (-.f64 z (.f64 (sin.f64 y) x))))
(.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4)) (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4))
(.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (cbrt.f64 (fma.f64 (sin.f64 y) x z))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(/.f64 1 (/.f64 (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) z))) (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3))))
(/.f64 1 (/.f64 (-.f64 z (.f64 (sin.f64 y) x)) (-.f64 (.f64 z z) (pow.f64 (*.f64 (sin.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) z))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (-.f64 (.f64 z z) (.f64 z (*.f64 (sin.f64 y) x)))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (neg.f64 (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) z)))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2))) (neg.f64 (-.f64 z (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) z))
(pow.f64 (fma.f64 (sin.f64 y) x z) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) 2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) x z)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) x z))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) x z)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) x z)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x z)))
(fma.f64 (sin.f64 y) x z)
(fma.f64 x (sin.f64 y) z)
(fma.f64 1 z (*.f64 (sin.f64 y) x))
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z) (.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (cbrt.f64 (.f64 (sin.f64 y) x)) z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) z)

Outputs
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) 2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (pow.f64 z 4)) (+.f64 z (*.f64 (sin.f64 y) x)))
(fma.f64 (+.f64 (/.f64 5/64 (pow.f64 (.f64 (sin.f64 y) x) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3)))) 2) (/.f64 1/16 (pow.f64 (.f64 (sin.f64 y) x) 3))))) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(fma.f64 (-.f64 (/.f64 5/64 (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3)))) 2) (/.f64 1/16 (pow.f64 (.f64 (sin.f64 y) x) 3)))) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(fma.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3)) -1/64) (.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3)) 1/64)) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(+.f64 (.f64 (+.f64 (.f64 5/64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (.f64 -1 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))) 2) (.f64 1/16 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3))))))) (pow.f64 z 4)) (+.f64 z (*.f64 (sin.f64 y) x)))
(fma.f64 (+.f64 (/.f64 5/64 (pow.f64 (.f64 (sin.f64 y) x) 3)) (neg.f64 (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3)))) 2) (/.f64 1/16 (pow.f64 (.f64 (sin.f64 y) x) 3))))) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(fma.f64 (-.f64 (/.f64 5/64 (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3)))) 2) (/.f64 1/16 (pow.f64 (.f64 (sin.f64 y) x) 3)))) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
(fma.f64 (+.f64 (.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3)) -1/64) (.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3)) 1/64)) (pow.f64 z 4) (fma.f64 (sin.f64 y) x z))
z
(+.f64 (*.f64 y x) z)
(fma.f64 y x z)
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/4 (/.f64 (pow.f64 x 2) z)))) z))
(fma.f64 y x (fma.f64 (.f64 y y) (.f64 (/.f64 (*.f64 x x) z) 0) z))
(fma.f64 y x (fma.f64 (*.f64 y y) 0 z))
(+.f64 z (fma.f64 y x 0))
(+.f64 (.f64 y x) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 1/4 (/.f64 (pow.f64 x 2) z)) (.f64 -1/4 (/.f64 (pow.f64 x 2) z)))) (+.f64 z (.f64 -1/6 (.f64 (pow.f64 y 3) x)))))
(fma.f64 y x (+.f64 (fma.f64 (.f64 y y) (.f64 (/.f64 (.f64 x x) z) 0) z) (.f64 -1/6 (*.f64 x (pow.f64 y 3)))))
(fma.f64 y x (fma.f64 (.f64 y y) 0 (fma.f64 -1/6 (.f64 x (pow.f64 y 3)) z)))
(+.f64 (fma.f64 -1/6 (*.f64 x (pow.f64 y 3)) z) (fma.f64 y x 0))
(+.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)
z
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 z (+.f64 (.f64 (sin.f64 y) x) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z)) (.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 x 2))))
(fma.f64 (sin.f64 y) x z)
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 2))) (.f64 -1/8 (/.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 z 2)))) (pow.f64 x 3)) (+.f64 z (+.f64 (.f64 (sin.f64 y) x) (.f64 (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z)) (*.f64 1/4 (/.f64 (pow.f64 (sin.f64 y) 2) z))) (pow.f64 x 2)))))
(fma.f64 (sin.f64 y) x z)
(*.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 y (.f64 -1/6 (pow.f64 y 3))) (*.f64 1/120 (pow.f64 y 5))))
(+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) x)) (+.f64 (.f64 y x) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 y 7) x)) (.f64 -1/6 (*.f64 (pow.f64 y 3) x)))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 y x (fma.f64 -1/5040 (.f64 x (pow.f64 y 7)) (.f64 -1/6 (.f64 x (pow.f64 y 3))))))
(fma.f64 1/120 (.f64 x (pow.f64 y 5)) (fma.f64 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)))
(sqrt.f64 (*.f64 (sin.f64 y) x))
(+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))))
(+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (*.f64 z (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 y)) x)))))
(fma.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (*.f64 (sin.f64 y) x)))
(+.f64 (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (*.f64 (sin.f64 y) x)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 z z)) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 y)) x))))))
(fma.f64 (.f64 -1/8 (.f64 z z)) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3))) (fma.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (.f64 (sin.f64 y) x))))
(fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3))))) (fma.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (.f64 (sin.f64 y) x))))
(+.f64 (.f64 1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 z 2) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))))) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x))))))))
(fma.f64 1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3))) (.f64 z z)) (+.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (.f64 1/2 (.f64 z (sqrt.f64 (/.f64 (/.f64 1 (sin.f64 y)) x)))))))
(fma.f64 1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))))) (fma.f64 (.f64 -1/8 (.f64 z z)) (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3))) (fma.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (.f64 (sin.f64 y) x)))))
(fma.f64 1/16 (.f64 (pow.f64 z 3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 5) (pow.f64 x 5))))) (fma.f64 -1/8 (.f64 z (.f64 z (sqrt.f64 (/.f64 1 (pow.f64 (.f64 (sin.f64 y) x) 3))))) (fma.f64 1/2 (.f64 z (sqrt.f64 (/.f64 1 (.f64 (sin.f64 y) x)))) (sqrt.f64 (.f64 (sin.f64 y) x)))))
(sqrt.f64 z)
(+.f64 (.f64 1/2 (.f64 (*.f64 y x) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (.f64 -1/8 (.f64 (.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z))) (sqrt.f64 z)) (.f64 -1/8 (.f64 (.f64 y y) (.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))))
(fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z))) (fma.f64 -1/8 (.f64 (.f64 y y) (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))) (sqrt.f64 z)))
(fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (fma.f64 -1/8 (.f64 (.f64 y y) (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))) (sqrt.f64 z)))
(+.f64 (.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z)))) (+.f64 (sqrt.f64 z) (+.f64 (.f64 1/2 (.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 -1/6 x) (.f64 -1/8 (/.f64 (pow.f64 x 3) (pow.f64 z 2))))) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/8 (.f64 (*.f64 (pow.f64 y 2) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z))) (sqrt.f64 z)) (fma.f64 1/2 (.f64 (pow.f64 y 3) (.f64 (+.f64 (.f64 x -1/6) (.f64 1/8 (/.f64 (pow.f64 x 3) (.f64 z z)))) (sqrt.f64 (/.f64 1 z)))) (.f64 -1/8 (.f64 (.f64 y y) (.f64 (.f64 x x) (sqrt.f64 (/.f64 1 (pow.f64 z 3))))))))
(+.f64 (fma.f64 1/2 (.f64 (.f64 y x) (sqrt.f64 (/.f64 1 z))) (sqrt.f64 z)) (fma.f64 -1/8 (.f64 (.f64 y y) (.f64 x (.f64 x (sqrt.f64 (/.f64 1 (pow.f64 z 3)))))) (.f64 (pow.f64 y 3) (.f64 (.f64 (sqrt.f64 (/.f64 1 z)) (fma.f64 x -1/6 (.f64 1/8 (/.f64 (pow.f64 x 3) (*.f64 z z))))) 1/2))))
(+.f64 (fma.f64 1/2 (.f64 y (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)) (fma.f64 1/2 (.f64 (fma.f64 x -1/6 (.f64 1/8 (/.f64 (pow.f64 x 3) (.f64 z z)))) (.f64 (pow.f64 y 3) (sqrt.f64 (/.f64 1 z)))) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (.f64 -1/8 (.f64 y y)) (*.f64 x x)))))
(sqrt.f64 z)
(+.f64 (sqrt.f64 z) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (sin.f64 y) x))))
(+.f64 (sqrt.f64 z) (.f64 1/2 (.f64 (*.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 z)))))
(fma.f64 1/2 (.f64 x (.f64 (sin.f64 y) (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(fma.f64 1/2 (.f64 (sin.f64 y) (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (sin.f64 y) x)))))
(+.f64 (sqrt.f64 z) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))) (.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 z))))))
(+.f64 (sqrt.f64 z) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (pow.f64 (.f64 (sin.f64 y) x) 2)) (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (*.f64 (sin.f64 y) x) 1/2))))
(+.f64 (fma.f64 1/2 (.f64 (sin.f64 y) (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (*.f64 (sin.f64 y) x) 2) -1/8)))
(+.f64 (sqrt.f64 z) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 5))) (.f64 (pow.f64 (sin.f64 y) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 z)) (*.f64 (sin.f64 y) x))))))
(+.f64 (sqrt.f64 z) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 5))) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (.f64 (.f64 x x) (pow.f64 (sin.f64 y) 2))) (.f64 1/2 (.f64 (.f64 (sin.f64 y) x) (sqrt.f64 (/.f64 1 z)))))))
(+.f64 (sqrt.f64 z) (fma.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 z 5)))) (pow.f64 (.f64 (sin.f64 y) x) 3) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 z 3))) (pow.f64 (.f64 (sin.f64 y) x) 2)) (.f64 (sqrt.f64 (/.f64 1 z)) (.f64 (*.f64 (sin.f64 y) x) 1/2)))))
(+.f64 (.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 z 3)))) (.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 z 5)))) (.f64 (sin.f64 y) x)))) (fma.f64 1/2 (.f64 (sin.f64 y) (.f64 x (sqrt.f64 (/.f64 1 z)))) (sqrt.f64 z)))
(*.f64 (sin.f64 y) x)
z
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))
(+.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)))
(+.f64 (.f64 x (+.f64 (+.f64 y (.f64 -1/6 (pow.f64 y 3))) (*.f64 1/120 (pow.f64 y 5)))) z)
z
(*.f64 (sin.f64 y) x)
(*.f64 (sin.f64 y) x)
(+.f64 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(+.f64 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 y) x z))) 1)
(fma.f64 (sin.f64 y) x z)
(-.f64 (/.f64 (.f64 z z) (-.f64 z (.f64 (sin.f64 y) x))) (/.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (-.f64 z (.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z z)) (fma.f64 (sin.f64 y) x (neg.f64 z)))
(*.f64 (fma.f64 (sin.f64 y) x z) 1)
(fma.f64 (sin.f64 y) x z)
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (sqrt.f64 (fma.f64 (sin.f64 y) x z)))
(fma.f64 (sin.f64 y) x z)
(*.f64 1 (fma.f64 (sin.f64 y) x z))
(fma.f64 (sin.f64 y) x z)
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 2))
(fma.f64 (sin.f64 y) x z)
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))) (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))) 4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 2) (cbrt.f64 (fma.f64 (sin.f64 y) x z)))
(fma.f64 (sin.f64 y) x z)
(.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4) (.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4) (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(fma.f64 (sin.f64 y) x z)
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 1 (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (*.f64 (sin.f64 y) x) z)))))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 1 (fma.f64 z z (.f64 (sin.f64 y) (.f64 x (-.f64 (*.f64 (sin.f64 y) x) z))))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z z (.f64 (sin.f64 y) (.f64 x (-.f64 (.f64 (sin.f64 y) x) z)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z z (.f64 (sin.f64 y) (*.f64 x (fma.f64 (sin.f64 y) x (neg.f64 z))))))
(.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2)) (/.f64 1 (-.f64 z (.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z z)) (fma.f64 (sin.f64 y) x (neg.f64 z)))
(.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4)) (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4))
(fma.f64 (sin.f64 y) x z)
(.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (cbrt.f64 (fma.f64 (sin.f64 y) x z))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))))
(.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) (pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z))) 4))
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(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z z)) (fma.f64 (sin.f64 y) x (neg.f64 z)))
(/.f64 (neg.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (neg.f64 (fma.f64 z z (.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) z)))))
(.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (/.f64 1 (fma.f64 z z (.f64 (sin.f64 y) (.f64 x (-.f64 (*.f64 (sin.f64 y) x) z))))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z z (.f64 (sin.f64 y) (.f64 x (-.f64 (.f64 (sin.f64 y) x) z)))))
(/.f64 (+.f64 (pow.f64 z 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 z z (.f64 (sin.f64 y) (*.f64 x (fma.f64 (sin.f64 y) x (neg.f64 z))))))
(/.f64 (neg.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2))) (neg.f64 (-.f64 z (*.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z z)) (fma.f64 (sin.f64 y) x (neg.f64 z)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z z)) (-.f64 (*.f64 (sin.f64 y) x) z))
(/.f64 (-.f64 (.f64 z z) (pow.f64 (.f64 (sin.f64 y) x) 2)) (-.f64 z (*.f64 (sin.f64 y) x)))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (.f64 z z)) (fma.f64 (sin.f64 y) x (neg.f64 z)))
(pow.f64 (fma.f64 (sin.f64 y) x z) 1)
(fma.f64 (sin.f64 y) x z)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 y) x z)) 2)
(fma.f64 (sin.f64 y) x z)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 2) 1/2)
(fma.f64 (sin.f64 y) x z)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3) 1/3)
(fma.f64 (sin.f64 y) x z)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 y) x z)) 3)
(fma.f64 (sin.f64 y) x z)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 2))
(fma.f64 (sin.f64 y) x z)
(log.f64 (exp.f64 (fma.f64 (sin.f64 y) x z)))
(fma.f64 (sin.f64 y) x z)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 y) x z))))
(fma.f64 (sin.f64 y) x z)
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3))
(fma.f64 (sin.f64 y) x z)
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 y) x z)))
(fma.f64 (sin.f64 y) x z)
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 y) x z)))
(fma.f64 (sin.f64 y) x z)
(exp.f64 (log.f64 (fma.f64 (sin.f64 y) x z)))
(fma.f64 (sin.f64 y) x z)
(fma.f64 (sin.f64 y) x z)
(fma.f64 x (sin.f64 y) z)
(fma.f64 (sin.f64 y) x z)
(fma.f64 1 z (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(fma.f64 1 (*.f64 (sin.f64 y) x) z)
(fma.f64 (sin.f64 y) x z)
(fma.f64 (cbrt.f64 (.f64 z z)) (cbrt.f64 z) (.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (cbrt.f64 (.f64 (sin.f64 y) x)) z)
(fma.f64 (sin.f64 y) x z)
(fma.f64 (sqrt.f64 z) (sqrt.f64 z) (*.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x z)
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) 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 z (cos.f64 y))
	0.1b	(*.f64 (sin.f64 y) x)
✓	0.5b	(cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))
✓	0.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)

Compiler

Compiled 50 to 12 computations (76% saved)

series28.0ms (0.3%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
4.0ms	z	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
2.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (+.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)

rewrite73.0ms (0.9%)

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	26
1	254	26
2	2981	26

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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

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

simplify130.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

824×	`times-frac_binary64`
639×	`associate-r_binary64`
556×	`associate-l_binary64`
412×	`fma-def_binary64`
385×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	576	4294974255
1	1787	5800
2	6455	5800

Stop Event

1×	node limit

Counts

152 → 194

Calls

Call 1

Inputs
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x))
(+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))))))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2)))))))) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y)))))))
(+.f64 (.f64 (pow.f64 z 2) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2)))))))) (+.f64 (.f64 (pow.f64 z 3) (+.f64 (.f64 -1/3 (.f64 (pow.f64 1 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (cos.f64 y) 3)))))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (pow.f64 (cos.f64 y) 2)))) (cos.f64 y)))) (.f64 (pow.f64 (.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sin.f64 y) x)) 1/3) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (cos.f64 y) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3)))) (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sin.f64 y) 2) (pow.f64 x 2))) 1/3) (pow.f64 (cos.f64 y) 3)))))) (.f64 -2/27 (.f64 (pow.f64 1 1/9) (/.f64 (pow.f64 (cos.f64 y) 3) (.f64 (sin.f64 y) x)))))))))) (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (sin.f64 y) x)) (.f64 z (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 1 (*.f64 (pow.f64 (sin.f64 y) 4) (pow.f64 x 4))) 1/9) (cos.f64 y))))))))
(*.f64 (pow.f64 1 1/3) z)
(+.f64 (.f64 y (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)))) (.f64 (pow.f64 1 1/3) z))
(+.f64 (.f64 y (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)))) (+.f64 (.f64 (pow.f64 1 1/3) z) (.f64 (pow.f64 y 2) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/9) (pow.f64 x 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (pow.f64 (.f64 1 z) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 z) (.f64 1/3 (*.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))))))))))
(+.f64 (.f64 y (+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)) (.f64 1/3 (.f64 (pow.f64 (.f64 1 (pow.f64 z 4)) 1/9) x)))) (+.f64 (.f64 (pow.f64 1 1/3) z) (+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/9) (pow.f64 x 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) (pow.f64 (.f64 1 z) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))))) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 -1/6 x) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 x 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))) x))))) (pow.f64 1 1/3))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))) x))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/9) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 4)) 1/9) (pow.f64 x 2))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2))))))) x))) (.f64 (pow.f64 (.f64 1 z) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 z) 1/3) (-.f64 (.f64 -1/6 x) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 2)) 1/3) (pow.f64 x 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))) x))))))) (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 8)) 1/9) (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 z) 1/9) (pow.f64 x 2)))) x)))))))) (pow.f64 y 3)))))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (+.f64 (.f64 (cos.f64 y) z) (*.f64 (sin.f64 y) x)) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (.f64 z (cos.f64 y)))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) 2) 1) (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2)) (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (fma.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 3)) (+.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (.f64 z (.f64 (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) x) 2)) (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (neg.f64 (fma.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))) (neg.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 y) x) 2) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))))
(sqrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2))
(log.f64 (exp.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (pow.f64 (exp.f64 (sin.f64 y)) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 z) (cos.f64 y)) (+.f64 1 (expm1.f64 (.f64 (sin.f64 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y)))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 y) x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 y) x))) (pow.f64 (exp.f64 z) (cos.f64 y))))
(log.f64 (.f64 (pow.f64 (exp.f64 (sin.f64 y)) x) (+.f64 1 (expm1.f64 (.f64 z (cos.f64 y))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 y) x))) (+.f64 1 (expm1.f64 (*.f64 z (cos.f64 y))))))
(cbrt.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(log1p.f64 (expm1.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(exp.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(exp.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 1/3))
(exp.f64 (.f64 (.f64 2/3 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 3/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 1) 3))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 3/2) 2))
(fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))
(fma.f64 (cos.f64 y) z (*.f64 (sin.f64 y) x))
(fma.f64 (.f64 z (cos.f64 y)) 1 (.f64 (sin.f64 y) x))
(fma.f64 (sin.f64 y) x (*.f64 z (cos.f64 y)))
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(fma.f64 (.f64 (sin.f64 y) x) 1 (.f64 z (cos.f64 y)))
(fma.f64 1 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 1 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y)))
(fma.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (*.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 y) x)) 2) (cbrt.f64 (.f64 (sin.f64 y) x)) (*.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 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 2) (cbrt.f64 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x) (.f64 z (cos.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 (cos.f64 y)) 2) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 y) x)) (sqrt.f64 (.f64 (sin.f64 y) x)) (*.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (.f64 z (cos.f64 y))) (sqrt.f64 (.f64 z (cos.f64 y))) (*.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (sqrt.f64 (sin.f64 y)) (.f64 (sqrt.f64 (sin.f64 y)) x) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (sqrt.f64 (cos.f64 y)) (.f64 (sqrt.f64 (cos.f64 y)) z) (.f64 (sin.f64 y) x))
(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 x (pow.f64 (cbrt.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 z (pow.f64 (cbrt.f64 (cos.f64 y)) 2)) (cbrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 (sin.f64 y) x))
(fma.f64 (.f64 (cos.f64 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (.f64 (sin.f64 y) x))
(fma.f64 (.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 (sin.f64 y) x))
(+.f64 0 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))) 1)
(.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) 1)
(.f64 1 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) 2) (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 1/6) (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 1/6))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 z (cos.f64 y)) 2) (pow.f64 (.f64 (sin.f64 y) x) 2))) (cbrt.f64 (-.f64 (.f64 z (cos.f64 y)) (.f64 (sin.f64 y) x))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 z (cos.f64 y)) 3) (pow.f64 (.f64 (sin.f64 y) x) 3))) (cbrt.f64 (fma.f64 (.f64 (sin.f64 y) x) (-.f64 (.f64 (sin.f64 y) x) (.f64 z (cos.f64 y))) (pow.f64 (.f64 z (cos.f64 y)) 2))))
(pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 1)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 2) 1/6)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 3) 1/9)
(pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2) 1/2)
(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 3)
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 2) 3/2)
(pow.f64 (sqrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2/3)
(pow.f64 (pow.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(exp.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))
(exp.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))) 1/3))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 z (cos.f64 y) (.f64 (sin.f64 y) x)) 1/6)) 2))
(exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))))) 3/2))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 1) 1))

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

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (cbrt.f64 (cos.f64 y)) z)
	0.2b	(pow.f64 (cos.f64 y) 2)
	0.3b	(cbrt.f64 (cos.f64 y))
	0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))

Compiler

Compiled 43 to 17 computations (60.5% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(*.f64 (cbrt.f64 (cos.f64 y)) z)
1.0ms	y	@	inf	(*.f64 (cbrt.f64 (cos.f64 y)) z)
1.0ms	y	@	-inf	(*.f64 (cbrt.f64 (cos.f64 y)) z)
1.0ms	y	@	0	(*.f64 (cbrt.f64 (cos.f64 y)) z)
0.0ms	z	@	inf	(*.f64 (cbrt.f64 (cos.f64 y)) z)

rewrite36.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`pow1_binary64`
508×	`add-sqr-sqrt_binary64`
489×	`add-log-exp_binary64`
489×	`log1p-expm1-u_binary64`
489×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	115	8
2	1338	8

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

597×	`fma-neg_binary64`
590×	`fma-def_binary64`
313×	`log-prod_binary64`
263×	`distribute-rgt-out_binary64`
254×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	318
1	136	318
2	374	312
3	1275	309
4	3969	309
5	6428	309

Stop Event

1×	node limit

Counts

35 → 26

Calls

Call 1

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

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

eval464.0ms (5.8%)

Compiler: Compiled 22499 to 11835 computations (47.4% saved)

prune260.0ms (3.3%)

Pruning

30 alts after pruning (22 fresh and 8 done)

	Pruned	Kept	Total
New	761	10	771
Fresh	5	12	17
Picked	0	1	1
Done	4	7	11
Total	770	30	800

Error

Counts

800 → 30

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(fma.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2) 1/9) 3) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
	27.8b	(fma.f64 (pow.f64 (cos.f64 y) 2/3) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
	5.5b	(fma.f64 (.f64 x (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)) (.f64 z (cos.f64 y)))
✓	24.2b	(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
	24.2b	(fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
	29.9b	(fma.f64 y x z)
	39.3b	(pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4) 2) 2)
	2.5b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 3) 3)
	50.1b	(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
	47.1b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
	45.5b	(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3/2)) 2)
	38.2b	(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
	26.2b	(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
	14.3b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x)) z)
	39.5b	(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
✓	29.9b	(+.f64 (*.f64 y x) z)
	33.8b	(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) 2) 2))
✓	0.9b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
	32.4b	(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
	17.8b	(+.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)))
✓	13.8b	(+.f64 (*.f64 x (sin.f64 y)) z)
	17.9b	(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
✓	30.0b	(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
	34.4b	(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))
	37.7b	(*.f64 (sin.f64 y) x)
✓	25.5b	(*.f64 (cos.f64 y) z)
✓	53.2b	(*.f64 y x)
	38.4b	z

Compiler

Compiled 405 to 281 computations (30.6% saved)

regimes109.0ms (1.4%)

Counts

54 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(+.f64 (exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) z)
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 x (sin.f64 y)) 3)) z)
(+.f64 (pow.f64 (cbrt.f64 (*.f64 x (sin.f64 y))) 3) z)
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x (sin.f64 y))) 2) z)
(pow.f64 (cbrt.f64 (+.f64 z (*.f64 (sin.f64 y) x))) 3)
(pow.f64 (sqrt.f64 (+.f64 z (*.f64 (sin.f64 y) x))) 2)
(+.f64 (.f64 (.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) z)
(+.f64 (.f64 y x) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
(.f64 (-.f64 (pow.f64 (.f64 x (sin.f64 y)) 2) (.f64 z z)) (/.f64 1 (-.f64 (.f64 x (sin.f64 y)) z)))
(fma.f64 (*.f64 (sin.f64 y) (sqrt.f64 x)) (sqrt.f64 x) z)
(+.f64 (exp.f64 (log.f64 (.f64 x (sin.f64 y)))) (.f64 z (cos.f64 y)))
(+.f64 (cbrt.f64 (pow.f64 (.f64 x (sin.f64 y)) 3)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (cbrt.f64 (.f64 z (cos.f64 y))) 3))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (sqrt.f64 (.f64 z (cos.f64 y))) 2))
(+.f64 (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 z (cos.f64 y)) (.f64 (sin.f64 y) x))) 3)
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 (cos.f64 y) (sqrt.f64 z)) (sqrt.f64 z)))
(pow.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 3/2)) 2)
(pow.f64 (pow.f64 (pow.f64 (fma.f64 (sin.f64 y) x z) 1/4) 2) 2)
(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)))
(+.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 y)) 2) (.f64 (cbrt.f64 (sin.f64 y)) x)) z)
(fma.f64 (pow.f64 (cos.f64 y) 2/3) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (.f64 (pow.f64 (cbrt.f64 z) 2) (*.f64 (cbrt.f64 z) (cos.f64 y))))
(+.f64 (.f64 x (sin.f64 y)) (pow.f64 (pow.f64 (pow.f64 (.f64 z (cos.f64 y)) 1/4) 2) 2))
(fma.f64 (cbrt.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)) (.f64 x (sin.f64 y)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (sin.f64 y)) (.f64 z (cos.f64 y)))
(fma.f64 (pow.f64 (cbrt.f64 z) 2) (.f64 (cbrt.f64 z) (cos.f64 y)) (.f64 x (sin.f64 y)))
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sin.f64 y) x) 3/2)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 y) x) 3/2))) z)
(/.f64 (-.f64 (.f64 (pow.f64 (sin.f64 y) 2) (.f64 x x)) (pow.f64 (.f64 z (cos.f64 y)) 2)) (-.f64 (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y))))
(/.f64 (-.f64 (.f64 x (.f64 (.f64 (sin.f64 y) (sin.f64 y)) x)) (pow.f64 (.f64 (cos.f64 y) z) 2)) (-.f64 (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z)))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (cos.f64 y) (*.f64 (sin.f64 y) x)))) 3) 3)
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 y) 2)) (.f64 (cbrt.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 (pow.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 (+.f64 y y))) 2) 1/9) 3) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 y) 2) 1/9) 3) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) 3) (.f64 (cbrt.f64 (cos.f64 y)) z) (.f64 x (sin.f64 y)))

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

Calls

4 calls:

26.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
23.0ms	z
23.0ms	y
23.0ms	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 655 to 235 computations (64.1% saved)

regimes33.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
z
(*.f64 y x)
(+.f64 (*.f64 y x) z)
(*.f64 (cos.f64 y) z)
(*.f64 (sin.f64 y) x)
(fma.f64 y x z)
(+.f64 (*.f64 x (sin.f64 y)) z)
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 y) z)) 3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 y) x)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 y) z)) 2)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 y) x)) 2)
(+.f64 (exp.f64 (log.f64 (*.f64 x (sin.f64 y)))) z)

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

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
7.0ms	x
7.0ms	z
7.0ms	y

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 99 to 46 computations (53.5% saved)

regimes48.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	z
14.0ms	x
14.0ms	y

Results

Error	Segments	Branch
7.8b	3	`x`
12.5b	2	`y`
9.0b	3	`z`

Compiler

Compiled 42 to 21 computations (50% saved)

bsearch74.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
40.0ms	4.2633134675244633e-51	8.748904781470919e-44
34.0ms	-4.491923447153716e-89	-1.843070119912702e-91

Results

35.0ms	76×	body	1024	valid
27.0ms	152×	body	256	valid
8.0ms	28×	body	512	valid

Compiler

Compiled 306 to 221 computations (27.8% saved)

regimes74.0ms (0.9%)

Counts

6 → 4

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	z
22.0ms	x
21.0ms	y

Results

Error	Segments	Branch
13.4b	5	`x`
13.3b	4	`y`
14.6b	5	`z`

Compiler

Compiled 36 to 19 computations (47.2% saved)

bsearch132.0ms (1.7%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
78.0ms	3.9377037056991037e+260	2.5147864562741586e+267
23.0ms	0.0029356243337576586	9.822879605417155
30.0ms	-27.821564541013835	-5.022961485221493e-14

Results

77.0ms	144×	body	1024	valid
49.0ms	288×	body	256	valid

Compiler

Compiled 450 to 319 computations (29.1% saved)

regimes65.0ms (0.8%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	z
20.0ms	x
19.0ms	y

Results

Error	Segments	Branch
13.4b	5	`x`
13.3b	4	`y`
14.6b	5	`z`

Compiler

Compiled 32 to 18 computations (43.8% saved)

bsearch119.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
67.0ms	3.9377037056991037e+260	2.5147864562741586e+267
22.0ms	0.0029356243337576586	9.822879605417155
29.0ms	-27.821564541013835	-5.022961485221493e-14

Results

65.0ms	144×	body	1024	valid
48.0ms	288×	body	256	valid

Compiler

Compiled 468 to 337 computations (28% saved)

regimes41.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

14.0ms	x
14.0ms	y
11.0ms	z

Results

Error	Segments	Branch
19.9b	3	`x`
16.2b	3	`y`
20.8b	3	`z`

Compiler

Compiled 28 to 16 computations (42.9% saved)

bsearch55.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	1.5711640994399028e-8	1.7919686268912535e-7
33.0ms	-7343104272111321.0	-27.821564541013835

Results

52.0ms

256×

body

256

valid

Compiler

Compiled 290 to 205 computations (29.3% saved)

regimes13.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
3.0ms	z
3.0ms	y

Results

Error	Segments	Branch
29.9b	1	`x`
29.9b	1	`y`
29.9b	1	`z`

Compiler

Compiled 24 to 14 computations (41.7% saved)

regimes20.0ms (0.3%)

Accuracy

Total -26.7b remaining (-75.3%)

Threshold costs -26.7b (-75.3%)

Counts

2 → 3

Calls

Call 1

Inputs
z
(*.f64 y x)

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

Calls

3 calls:

9.0ms	x
8.0ms	z
3.0ms	y

Results

Error	Segments	Branch
35.5b	3	`x`
38.4b	1	`y`
36.1b	3	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch89.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
65.0ms	2.765637859262086e+141	8.323055329795927e+147
24.0ms	-5.944099486832363e+189	-1.6708604795886616e+189

Results

50.0ms	138×	body	256	valid
30.0ms	63×	body	1024	valid
7.0ms	23×	body	512	valid

Compiler

Compiled 186 to 139 computations (25.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	206
1	60	206

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(if (<=.f64 x -6880495847970215/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 8556623698070271/13164036458569648337239753460458804039861886925068638906788872192) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 y -1936908127739503/18446744073709551616) (.f64 (sin.f64 y) x) (if (<=.f64 y 6456360425798343/1152921504606846976) (fma.f64 y x z) (if (<=.f64 y 9500000000000000363399570361733825300840280904675853181157661825546916041223392838281297957617691971567528807647975009037804781756713877539206828800514385960425224721501945858230170893762968826322891186419702229148320042766570284748025900083423100917736915263815680) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y -3112888062438487/1152921504606846976) (.f64 (sin.f64 y) x) (if (<=.f64 y 5764607523034235/1152921504606846976) (+.f64 (.f64 y x) z) (if (<=.f64 y 620000000000000001860597917403316100472083225448047359430014877221248116537683496629388494201517249170374414054019871972692897142254171951045367722898625075498652686946105703514143918029868729566935093669223079399517722824749529720345215200302614879752176941223903232) (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))
(if (<=.f64 y -28) (.f64 (cos.f64 y) z) (if (<=.f64 y 6611313076017503/37778931862957161709568) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(+.f64 (*.f64 y x) z)
(if (<=.f64 x -2699999999999999938686145780731986151859302697275993026096849810412153955103007713488944298277533469840911910061775655531982100297397188792882763081589358517649407313959332293345823934119936) (.f64 y x) (if (<=.f64 x 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440) z (.f64 y x)))
z

Outputs
(fma.f64 x (sin.f64 y) (*.f64 z (cos.f64 y)))
(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
(+.f64 (.f64 z (cos.f64 y)) (.f64 x (sin.f64 y)))
(if (<=.f64 x -6880495847970215/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (+.f64 (.f64 x (sin.f64 y)) z) (if (<=.f64 x 8556623698070271/13164036458569648337239753460458804039861886925068638906788872192) (.f64 (cos.f64 y) z) (+.f64 (*.f64 x (sin.f64 y)) z)))
(if (<=.f64 x -6880495847970215/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328) (+.f64 z (.f64 x (sin.f64 y))) (if (<=.f64 x 8556623698070271/13164036458569648337239753460458804039861886925068638906788872192) (.f64 z (cos.f64 y)) (+.f64 z (*.f64 x (sin.f64 y)))))
(if (<=.f64 y -1936908127739503/18446744073709551616) (.f64 (sin.f64 y) x) (if (<=.f64 y 6456360425798343/1152921504606846976) (fma.f64 y x z) (if (<=.f64 y 9500000000000000363399570361733825300840280904675853181157661825546916041223392838281297957617691971567528807647975009037804781756713877539206828800514385960425224721501945858230170893762968826322891186419702229148320042766570284748025900083423100917736915263815680) (.f64 (sin.f64 y) x) (*.f64 (cos.f64 y) z))))
(if (<=.f64 y -1936908127739503/18446744073709551616) (.f64 x (sin.f64 y)) (if (<=.f64 y 6456360425798343/1152921504606846976) (fma.f64 y x z) (if (<=.f64 y 9500000000000000363399570361733825300840280904675853181157661825546916041223392838281297957617691971567528807647975009037804781756713877539206828800514385960425224721501945858230170893762968826322891186419702229148320042766570284748025900083423100917736915263815680) (.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))))
(if (<=.f64 y -3112888062438487/1152921504606846976) (.f64 (sin.f64 y) x) (if (<=.f64 y 5764607523034235/1152921504606846976) (+.f64 (.f64 y x) z) (if (<=.f64 y 620000000000000001860597917403316100472083225448047359430014877221248116537683496629388494201517249170374414054019871972692897142254171951045367722898625075498652686946105703514143918029868729566935093669223079399517722824749529720345215200302614879752176941223903232) (.f64 (sin.f64 y) x) (.f64 (cos.f64 y) z))))
(if (<=.f64 y -3112888062438487/1152921504606846976) (.f64 x (sin.f64 y)) (if (<=.f64 y 5764607523034235/1152921504606846976) (+.f64 z (.f64 x y)) (if (<=.f64 y 620000000000000001860597917403316100472083225448047359430014877221248116537683496629388494201517249170374414054019871972692897142254171951045367722898625075498652686946105703514143918029868729566935093669223079399517722824749529720345215200302614879752176941223903232) (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))))
(if (<=.f64 y -28) (.f64 (cos.f64 y) z) (if (<=.f64 y 6611313076017503/37778931862957161709568) (+.f64 (.f64 y x) z) (*.f64 (cos.f64 y) z)))
(if (<=.f64 y -28) (.f64 z (cos.f64 y)) (if (<=.f64 y 6611313076017503/37778931862957161709568) (+.f64 z (.f64 x y)) (*.f64 z (cos.f64 y))))
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 x y))
(if (<=.f64 x -2699999999999999938686145780731986151859302697275993026096849810412153955103007713488944298277533469840911910061775655531982100297397188792882763081589358517649407313959332293345823934119936) (.f64 y x) (if (<=.f64 x 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440) z (.f64 y x)))
(if (<=.f64 x -2699999999999999938686145780731986151859302697275993026096849810412153955103007713488944298277533469840911910061775655531982100297397188792882763081589358517649407313959332293345823934119936) (.f64 x y) (if (<=.f64 x 1000000000000000023745432358651105357408657927828682187473464988670237429542020572568177628216083294129345969133840116075793413169890081573437440) z (.f64 x y)))
z

Compiler

Compiled 167 to 95 computations (43.1% saved)

soundness7.0ms (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

Compiler

Compiled 23 to 15 computations (34.8% saved)

end78.0ms (1%)

Compiler: Compiled 143 to 49 computations (65.7% saved)